South Austin
3601 W. William Cannon Dr., Suite 275
Austin, TX 78749
view map of this location
Facebook
Twitter
3601 W. William Cannon Dr., Suite 275
Austin, TX 78749
view map of this location| Call: | (512) 275-6522 |
|---|---|
| Email: | Click Here |
HOURS OF INSTRUCTION
| Sun | CLOSED |
|---|---|
| Mon | 2:00 pm to 7:00 pm |
| Tues | 2:00 pm to 7:00 pm |
| Wed | 2:00 pm to 7:00 pm |
| Thurs | 2:00 pm to 7:00 pm |
| Fri | 2:00pm to 7:00pm |
| Sat | 10:00 am to 2:00 pm |
For more details about our schedule, including OFFICE HOURS, please click here.
Facebook
Twitter
Events
Pre-K to 2nd Grades
Mr. Demming’s class is having a pizza party. If one pizza feeds 3 children, how many pizzas will Mr. Demming need to order to feed 27 children?
3rd to 5th Grades
The first official Memorial Day was Celebrated on May 1868. How many Memorial Days will the United States celebrated 5 years from this Memorial Day?
6th Grades to Pre-Algebra
If two elephants, eating at the same time, can eat 200 peanuts in two minutes, how many elephants will it take to eat 1800 peanuts in six minutes?
Algebra and Up
A sports car traveling at 97 miles per hour passes a van traveling 53 miles per hour. After 10 seconds how many feet ahead of the van is the sports car? (Round final answer to the nearest tenth of a foot)
A sports car traveling at 97 miles per hour passes a van traveling 53 miles per hour. After 10 seconds how many feet ahead of the van is the sports car? (Round final answer to the nearest tenth of a foot)
Pre-K to 2nd Grades
Sammy has twice as many marbles as Jimmy. Jimmy has 3 marbles more than Molly. If Molly has 6 marbles, how many marbles does Sammy have?
3rd to 5th Grades
Jim is 6 inches taller than Bill. If Bill is 4 feet 7 inches tall, how tall is Jim?
6th Grades to Pre-Algebra
Two identical triangles, each with a base of 7 inches and a height of 15 inches are cut from a single piece of cardboard with an area of 215 square inches. What is the remaining area of the cardboard after the triangles are cut out?
Algebra and Up
The SR-71 Blackbird was used during the cold war as a spy plane. With a max speed of Mach 3.5, it is the fastest manned aircraft in the world (other than the space shuttle). A Mach number is defined as the ratio of the speed of an aircraft to the speed of sound (about 761 mph). At its max speed, how long would it take the SR-71 to travel the 2443.79 miles from Los Angeles to New York City? Round answer to the nearest hundredth of an hour.
The SR-71 Blackbird was used during the cold war as a spy plane. With a max speed of Mach 3.5, it is the fastest manned aircraft in the world (other than the space shuttle). A Mach number is defined as the ratio of the speed of an aircraft to the speed of sound (about 761 mph). At its max speed, how long would it take the SR-71 to travel the 2443.79 miles from Los Angeles to New York City? Round answer to the nearest hundredth of an hour.
Answers
Pre-K to 2nd Grades
Answer: Sammy has 18 Marbles
Starting with Molly and working back toward Sammy. Jimmy has 3 more marbles than Molly, so Jimmy has 9 marbles (6 + 3). Because Sammy has twice the amount of marbles as Jimmy, Sammy has 18 marbles (9 + 9).
3rd to 5th Grades
Answer: 5 Feet and 1 Inch
Jim is 6 inches taller than Bill, add 6 inches to Bill height. We can only add things with the same name: 4 feet 7 inches + 6 inches = 4 feet 13 inches. Because there are 12 inches in a foot, 13 inches is 1 foot 1 inch. 4 feet + 13 inches = 4 feet + 1 foot 1 inch = 5 feet 1 inch.
6th Grade to Pre Algebra
Answer: 110 in2
The whole minus the other parts = remaining part. Subtract the triangles (the other parts) from the cardboard (the whole), to find the remaining cardboard (the part). Find the area of the triangles: A = ½bh = ½(7)(15) = ½(105) = 52.5 in2. Double the area to count for both triangles. 52.5 in2 doubled = 105 in2. Subtract the area of the both triangles (the other parts) from the cardboard (the whole) to find the remaining cardboard (the part). 215 in2 – 105 in2 = 110 in2.
Algebra & Up
Answer: 0.92 hours
First find how fast Mach 3.5 is in miles per hour. Do this by multiplying 3.5 by the speed of sound, 761 mph. 3.5 ● 761 mph = 2663.5 mph. Now find, at that speed, how long it would take the SR-71 to travel 2443.79 miles. Distance / Rate = Time, 2443.79 miles / 2663.5 mph = 0.92 hours
Answer: Sammy has 18 Marbles
Starting with Molly and working back toward Sammy. Jimmy has 3 more marbles than Molly, so Jimmy has 9 marbles (6 + 3). Because Sammy has twice the amount of marbles as Jimmy, Sammy has 18 marbles (9 + 9).
3rd to 5th Grades
Answer: 5 Feet and 1 Inch
Jim is 6 inches taller than Bill, add 6 inches to Bill height. We can only add things with the same name: 4 feet 7 inches + 6 inches = 4 feet 13 inches. Because there are 12 inches in a foot, 13 inches is 1 foot 1 inch. 4 feet + 13 inches = 4 feet + 1 foot 1 inch = 5 feet 1 inch.
6th Grade to Pre Algebra
Answer: 110 in2
The whole minus the other parts = remaining part. Subtract the triangles (the other parts) from the cardboard (the whole), to find the remaining cardboard (the part). Find the area of the triangles: A = ½bh = ½(7)(15) = ½(105) = 52.5 in2. Double the area to count for both triangles. 52.5 in2 doubled = 105 in2. Subtract the area of the both triangles (the other parts) from the cardboard (the whole) to find the remaining cardboard (the part). 215 in2 – 105 in2 = 110 in2.
Algebra & Up
Answer: 0.92 hours
First find how fast Mach 3.5 is in miles per hour. Do this by multiplying 3.5 by the speed of sound, 761 mph. 3.5 ● 761 mph = 2663.5 mph. Now find, at that speed, how long it would take the SR-71 to travel 2443.79 miles. Distance / Rate = Time, 2443.79 miles / 2663.5 mph = 0.92 hours
Pre-K to 2nd Grades
Rachel runs for 20 minutes every day. If she runs 1 mile in 10 minutes, how many miles will she have ran in 3 days?
3rd to 5th Grades
A certain crane can lift a maximum load of 25,234 pounds. The Incredible Hulk can lift double the maximum weight the crane lifts. How much can the Hulk lift?
6th Grades to Pre-Algebra
A salesman made $2,050 last month which includes both his salary and his commission. If he makes 5% commission on all of his sales and earns a monthly salary of $1,600, what was the dollar amount of his sales last month?
Algebra and Up
Two fishing boats left the same harbor at the same time. Boat A traveled northwest for 3 hours at 20 knots to a fishing spot. Boat B traveled northeast for 4½ hours at 14 knots to another fishing spot. How far apart are the two fishing spots? (Note: 1 knot ≈ 1.15 mph)
Two fishing boats left the same harbor at the same time. Boat A traveled northwest for 3 hours at 20 knots to a fishing spot. Boat B traveled northeast for 4½ hours at 14 knots to another fishing spot. How far apart are the two fishing spots? (Note: 1 knot ≈ 1.15 mph)
Answers
Pre-K to 2nd Grades
Answer: 6 Miles
Rachel runs 20 minutes every day and 1 mile every 10 minutes. She runs 2 miles in 20 minutes or 2 miles every day. In 3 days she will run 6 miles (2 + 2 + 2).
3rd to 5th Grades
Answer: 50,468 Pounds
Double 25,234 = Double 20,000 + Double 5,000 + Double 200 + Double 30 + Double 4 = 50,468 pounds. You can also add 25,234 to itself or multiply 25,234 by 2 to obtain the answer.
6th Grade to Pre Algebra
Answer: $9,000
The salesman only makes commission on what he sold. Subtract his salary ($1,600) from his total revenue to find the amount of money he made from commission: $2,050 – $1,600 = $450. 5% of his sales last month is equal to $450. Percent means “for each 100”, therefore he makes $5 for each $100 he sold. There are 90 fives in 450. For each 5 he sold $100, 90 5s mean 90 hundreds = $9,000. You could also solve this algebraically. Let s be the dollar amount of his sales last month, solve: .05(s) = $450 —> s = $450/.05 = $9,000.
Algebra & Up
Answer: 100.05 Miles
Because Boat A is traveling northwest and Boat B is traveling northeast, they form a 90˚ angle from the harbor. Convert knots to miles per hour. Find how far the two boats traveled. We can use the Pythagorean Theorem to solve for the distance between the two fishing spots.
BA: 20 knots • 1.15mph/knot = 23 mph, 23 mph • 3 hours = 69 mi
BB: 14 knots • 1.15mph/knot = 16.1 mph, 16.1 mph • 4.5 hours = 72.45 mi
Using the Pythagorean Theorem: a2 + b2 = c2
c = √(692 + 75.452) = 100.05 Miles
.png)
Answer: 6 Miles
Rachel runs 20 minutes every day and 1 mile every 10 minutes. She runs 2 miles in 20 minutes or 2 miles every day. In 3 days she will run 6 miles (2 + 2 + 2).
3rd to 5th Grades
Answer: 50,468 Pounds
Double 25,234 = Double 20,000 + Double 5,000 + Double 200 + Double 30 + Double 4 = 50,468 pounds. You can also add 25,234 to itself or multiply 25,234 by 2 to obtain the answer.
6th Grade to Pre Algebra
Answer: $9,000
The salesman only makes commission on what he sold. Subtract his salary ($1,600) from his total revenue to find the amount of money he made from commission: $2,050 – $1,600 = $450. 5% of his sales last month is equal to $450. Percent means “for each 100”, therefore he makes $5 for each $100 he sold. There are 90 fives in 450. For each 5 he sold $100, 90 5s mean 90 hundreds = $9,000. You could also solve this algebraically. Let s be the dollar amount of his sales last month, solve: .05(s) = $450 —> s = $450/.05 = $9,000.
Algebra & Up
Answer: 100.05 Miles
Because Boat A is traveling northwest and Boat B is traveling northeast, they form a 90˚ angle from the harbor. Convert knots to miles per hour. Find how far the two boats traveled. We can use the Pythagorean Theorem to solve for the distance between the two fishing spots.
BA: 20 knots • 1.15mph/knot = 23 mph, 23 mph • 3 hours = 69 mi
BB: 14 knots • 1.15mph/knot = 16.1 mph, 16.1 mph • 4.5 hours = 72.45 mi
Using the Pythagorean Theorem: a2 + b2 = c2
c = √(692 + 75.452) = 100.05 Miles
Pre-K to 2nd Grades
Ben walked 2 miles to school then half a mile to his friend’s house. He then walked back to school where he was picked up by his mom and taken home. How far did Ben walk?
3rd to 5th Grades
Benny owns a third as many baseball cards as Pat. Pat owns a quarter as many baseball cards as Sammy. Sammy owns half as many baseball cards as Jimmy. If Jimmy owns 120 baseball cards how many cards do Benny, Pat, and Sammy own?
6th Grades to Pre-Algebra
A salesman sold $10,392 worth of electronics equipment last month. If he makes 4% commission on all of his sales and earns a monthly salary of $1,600, what was his total pay last month?
Algebra and Up
Find h.
Find h.
Answers
Pre-K to 2nd Grades
Answer: 3 Miles
A whole is the sum of its parts. Total distance walked = Distance walked to school + distance walked to friend’s house from school + distance walked back to school from friend’s house.
Total distance walked = 2 miles + 1/2 mile + 1/2 mile = 3miles.
3rd to 5th Grades
Answer: Benny 5 cards, Pat 15 cards, Sammy 60 cards
We will start with Jimmy since we know he has: 120.
Sammy owns 1/2 as many as Jimmy: 1/2 of 120 = 60.
Pat owns 1/4 as many as Sammy: 1/4 of 60 = 1/2 of 1/2 of 60 = 15.
Benny owns 1/3 as many as Pat: 1/3 of 15 = 5.
6th Grade to Pre Algebra
Answer: $2,015.68
Total pay = Monthly salary + Commission.
Total pay = $1,600 + $10,392 x 0.04 = $1,600 + $415.68 = $2,015.68
Algebra & Up
Answer: h = 24
Break the base up into 2 separate bases with unknown lengths, then use the Pythagorean theorem to write 2 equations with 2 unknowns and solve the system of equation simultaneously. a2 + b2 = c2
Eq 1: (42 - x)2 + h2 = 402, 1764 - 84x + x2 + h2 = 402
Eq 2: x2 + h2 = 262
Expand Eq 1, then use either elimination or substitution to solve for x and h. By substitution: notice how x2 + h2 are present in both equation. Substitute x2 + h2 in Eq 1 with 262 (using Eq 2).
1764 - 84x + 262 = 402
Now solve for x:
1764 - 84x + 676 = 1600
2440 - 84x = 1600
-84x = -840, x = 10.
Plug x = 10 into Eq 2 and solve for h.
102 + h2 = 262
h2 = 676 - 100
h = √576 = 24
Answer: 3 Miles
A whole is the sum of its parts. Total distance walked = Distance walked to school + distance walked to friend’s house from school + distance walked back to school from friend’s house.
Total distance walked = 2 miles + 1/2 mile + 1/2 mile = 3miles.
3rd to 5th Grades
Answer: Benny 5 cards, Pat 15 cards, Sammy 60 cards
We will start with Jimmy since we know he has: 120.
Sammy owns 1/2 as many as Jimmy: 1/2 of 120 = 60.
Pat owns 1/4 as many as Sammy: 1/4 of 60 = 1/2 of 1/2 of 60 = 15.
Benny owns 1/3 as many as Pat: 1/3 of 15 = 5.
6th Grade to Pre Algebra
Answer: $2,015.68
Total pay = Monthly salary + Commission.
Total pay = $1,600 + $10,392 x 0.04 = $1,600 + $415.68 = $2,015.68
Algebra & Up
Answer: h = 24
Break the base up into 2 separate bases with unknown lengths, then use the Pythagorean theorem to write 2 equations with 2 unknowns and solve the system of equation simultaneously. a2 + b2 = c2
Eq 1: (42 - x)2 + h2 = 402, 1764 - 84x + x2 + h2 = 402
Eq 2: x2 + h2 = 262
Expand Eq 1, then use either elimination or substitution to solve for x and h. By substitution: notice how x2 + h2 are present in both equation. Substitute x2 + h2 in Eq 1 with 262 (using Eq 2).
1764 - 84x + 262 = 402
Now solve for x:
1764 - 84x + 676 = 1600
2440 - 84x = 1600
-84x = -840, x = 10.
Plug x = 10 into Eq 2 and solve for h.
102 + h2 = 262
h2 = 676 - 100
h = √576 = 24
Pre-K to 2nd Grades
Brittany took 7 photos on Monday, 8 photos Tuesday as well as Wednesday, and 9 photos on Thursday. Brittany developed her pictures on Friday, but unfortunately dropped half of her photos in a puddle of water. If those pictures were ruined, how many pictures does she have left?
3rd to 5th Grades
In 6 years David’s niece will be a quarter of David’s age. If his niece is 2 years old, how old is David now?
6th Grades to Pre-Algebra
Kendra bought a new purse that was marked down 25% from its original price. Kendra also used a coupon that takes 50% of the discounted price. If the purse originally costs $80, how much did she pay for it?
Algebra and Up
The sides of the Great Pyramid in Giza have slopes that are approximately 1.28. The base of the square pyramid has a width of 230 meters. What is the width of the pyramid at the height of 68 meters? (Hint: Use a coordinate plane.)
The sides of the Great Pyramid in Giza have slopes that are approximately 1.28. The base of the square pyramid has a width of 230 meters. What is the width of the pyramid at the height of 68 meters? (Hint: Use a coordinate plane.)
Answers
Pre-K to 2nd Grades
Answer: 16 Photos are left
Add all the photos Brittany took for the week: 7 + 8 + 8 + 9 = 32 photos. Half of the photos were ruined. Half of 32 = Half of 30 + Half of 2 = 15 + 1 = 16 photos.
3rd to 5th Grades
Answer: 26 Years Old
In 6 years David’s niece will be 8 years old (2 + 6) and David will be four times her age ( 4 x 8=32). Subtract 6 years from how old David will be to get how old he is now: 32 - 6 = 26. David is 26 years old.
6th Grade to Pre Algebra
Answer: $30.00
Find 25% of $80, then subtract it from $80. 25%, or a quarter, of 80 is 20. Subtracting 20 from 80 gives us the discounted price of $60. Next find the discount from the coupon. We need to find 50%, or half, of the discounted price. Half of 60 is 30. The final price Kendra paid for her new purse is $30.00.
Algebra & Up
Answer: 123.75 Meters
Drawing the pyramid centered at the origin allows us to solve for the width at a height of 68 meters using linear equations. In the diagram you can see that the base ends of the pyramid are at 115 and -115. Looking at the left half of the pyramid we can write a linear equation that solves for the total height of the pyramid: y = 1.28x + b (1). Plugging in the left point of the base and solve for b (the height of the pyramid): 0 = 1.28(-115) + b, b = 147.2 meters. Now that we know the height of the pyramid we can plug that into equation 1: y = 1.28x + 147.2. Plugging the height (68 meters) into the y coordinate we can then solve for the x coordinate: 68 = 1.28x + 147.2, x = -61.875 meters. We get a negative value because the point on the pyramid is on the left side of the y-axis. The total distance between the two points is 2 x 61.875 =123.75 meters.
Answer: 16 Photos are left
Add all the photos Brittany took for the week: 7 + 8 + 8 + 9 = 32 photos. Half of the photos were ruined. Half of 32 = Half of 30 + Half of 2 = 15 + 1 = 16 photos.
3rd to 5th Grades
Answer: 26 Years Old
In 6 years David’s niece will be 8 years old (2 + 6) and David will be four times her age ( 4 x 8=32). Subtract 6 years from how old David will be to get how old he is now: 32 - 6 = 26. David is 26 years old.
6th Grade to Pre Algebra
Answer: $30.00
Find 25% of $80, then subtract it from $80. 25%, or a quarter, of 80 is 20. Subtracting 20 from 80 gives us the discounted price of $60. Next find the discount from the coupon. We need to find 50%, or half, of the discounted price. Half of 60 is 30. The final price Kendra paid for her new purse is $30.00.
Algebra & Up
Answer: 123.75 Meters
Drawing the pyramid centered at the origin allows us to solve for the width at a height of 68 meters using linear equations. In the diagram you can see that the base ends of the pyramid are at 115 and -115. Looking at the left half of the pyramid we can write a linear equation that solves for the total height of the pyramid: y = 1.28x + b (1). Plugging in the left point of the base and solve for b (the height of the pyramid): 0 = 1.28(-115) + b, b = 147.2 meters. Now that we know the height of the pyramid we can plug that into equation 1: y = 1.28x + 147.2. Plugging the height (68 meters) into the y coordinate we can then solve for the x coordinate: 68 = 1.28x + 147.2, x = -61.875 meters. We get a negative value because the point on the pyramid is on the left side of the y-axis. The total distance between the two points is 2 x 61.875 =123.75 meters.
Pre-K to 2nd Grades
Bill has 6 pencils, Sarah has 8 pencils, Jim has 4 pencils, Tamara has 6 pencils, and Phillip has 3 pencils. If the boys combined their pencils and the girls combined their pencils. Who has more pencils, the boys or the girls?
3rd to 5th Grades
Sally has 2 quarters and 1 nickel. How much more money does she need to buy a 99¢ ice cream cone? Without using half dollars, what is the least number of coins she will need to buy the ice cream cone and what are they?
6th Grades to Pre-Algebra
Hannah has a bag of coins consisting of dimes and nickels. In this bag there are 8 more dimes than nickels. If the coins in the bag totaled $3.35, how many of each coin does Hannah have?
Algebra and Up
Find the area of the shaded region.
Find the area of the shaded region.
Answers
Pre-K to 2nd Grades
Answer: The girls
Group the boys together and the girls together; Boys: Bill – 6, Jim – 4, and Phillip – 3, (6 + 4 + 3 = 13 pencils). Girls: Sarah – 8 and Tamara – 6, (8 + 6 = 14 pencils). The girls have 1 more pencil than the boys. The girls have the most pencils.
3rd to 5th Grades
Answer: 44¢; 10 coins: 3 Quarters, 1 Dime, 2 Nickels, and 4 Pennies
Sally has 2 quarters and 1 nickel or 55¢ (25¢ + 25¢ + 5¢). To find how much more money she needs we find the difference from 55¢ up to 99¢. 55¢ to 95¢ is 40¢, 95¢ to 99¢ is 4¢, 40¢ + 4¢ = 44¢. To make 44¢ with the least number of coins she needs 1 quarter, 1 dime, 1 nickel, and 4 pennies (25¢ + 10¢ + 5¢ + 4¢). She needs 7 coins plus the 3 she already has. Sally will need 10 coins to buy the ice cream cone.
6th Grade to Pre Algebra
Answer: 17 Nickels and 25 Dimes
Let n = the number of nickels Hannah has in her bag. Because the number of dimes is 8 more than the number of nickels we can say that the number of dimes in the bag is n + 8. Quantity × denomination equals the total amount: n(5¢) + (n + 8)(10¢) = 335¢, 5n + 10n + 80 = 335, 15n = 255, n = 17. The number of dimes is 8 +17 = 25 dimes.
Algebra & Up
Answer: 36π cm2 – 54√3 cm2 or about 19.57 cm2
Find the area of the hexagon and subtract it from the circle. A hexagon is made up of 6 equilateral triangles. Find the area of 1 triangle and multiply by 6 to find the full area. In an equilateral triangle all sides are the same and all 3 angles are 60°. To find the area of the triangle we need to find the height (h). Cutting the triangle in half leaves us with a special 30-60-90 triangle with a base of 3 cm. The side across from the 60° angle (h) is equal to the side across from the 30° angle times √3 or 3√3 cm. Now that we have the base and height of the equilateral triangle we can find the area. At = ½bh = ½(6)(3√3) = 9√3 cm2, Ah = 6(9√3) = 54√3 cm2. Find the area of the circle then subtract the area of the hexagon from the area of the circle. Ac = πr2 = π62 = 36π cm2. Atotal = 36π cm2 – 54√3 cm2 ≈ 19.57 cm2.
Answer: The girls
Group the boys together and the girls together; Boys: Bill – 6, Jim – 4, and Phillip – 3, (6 + 4 + 3 = 13 pencils). Girls: Sarah – 8 and Tamara – 6, (8 + 6 = 14 pencils). The girls have 1 more pencil than the boys. The girls have the most pencils.
3rd to 5th Grades
Answer: 44¢; 10 coins: 3 Quarters, 1 Dime, 2 Nickels, and 4 Pennies
Sally has 2 quarters and 1 nickel or 55¢ (25¢ + 25¢ + 5¢). To find how much more money she needs we find the difference from 55¢ up to 99¢. 55¢ to 95¢ is 40¢, 95¢ to 99¢ is 4¢, 40¢ + 4¢ = 44¢. To make 44¢ with the least number of coins she needs 1 quarter, 1 dime, 1 nickel, and 4 pennies (25¢ + 10¢ + 5¢ + 4¢). She needs 7 coins plus the 3 she already has. Sally will need 10 coins to buy the ice cream cone.
6th Grade to Pre Algebra
Answer: 17 Nickels and 25 Dimes
Let n = the number of nickels Hannah has in her bag. Because the number of dimes is 8 more than the number of nickels we can say that the number of dimes in the bag is n + 8. Quantity × denomination equals the total amount: n(5¢) + (n + 8)(10¢) = 335¢, 5n + 10n + 80 = 335, 15n = 255, n = 17. The number of dimes is 8 +17 = 25 dimes.
Algebra & Up
Answer: 36π cm2 – 54√3 cm2 or about 19.57 cm2
Find the area of the hexagon and subtract it from the circle. A hexagon is made up of 6 equilateral triangles. Find the area of 1 triangle and multiply by 6 to find the full area. In an equilateral triangle all sides are the same and all 3 angles are 60°. To find the area of the triangle we need to find the height (h). Cutting the triangle in half leaves us with a special 30-60-90 triangle with a base of 3 cm. The side across from the 60° angle (h) is equal to the side across from the 30° angle times √3 or 3√3 cm. Now that we have the base and height of the equilateral triangle we can find the area. At = ½bh = ½(6)(3√3) = 9√3 cm2, Ah = 6(9√3) = 54√3 cm2. Find the area of the circle then subtract the area of the hexagon from the area of the circle. Ac = πr2 = π62 = 36π cm2. Atotal = 36π cm2 – 54√3 cm2 ≈ 19.57 cm2.
Pre-K to 2nd Grades
Jeffery had 10 action figures and then he lost 4 of them. If Alex had 8 action figures then bought 6 more, how many more action figures does Alex have than Jeffery?
3rd to 5th Grades
This Friday is April 13th. What day of the week and what day of the month will it be in 25 days?
6th Grades to Pre-Algebra
Train A leaves the station the same time as Train B traveling in the same direction. Train B, travels 75 mph and Train A travels at 51 mph. How many hours would it take for Train A and Train B to be 126 miles apart?
Algebra and Up
On average, David drives 1540 miles a month. Currently David’s car gets, on average, 21 miles per gallon. He is thinking about buying a hybrid car capable of 55 miles per gallon. If gas costs $3.95 per gallon, how much money would David save in gas each month if he were to switch to a hybrid car?
On average, David drives 1540 miles a month. Currently David’s car gets, on average, 21 miles per gallon. He is thinking about buying a hybrid car capable of 55 miles per gallon. If gas costs $3.95 per gallon, how much money would David save in gas each month if he were to switch to a hybrid car?
Answers
Pre-K to 2nd Grades
Answer: 8 Action Figures
Jeffery lost 4 of his 10 action figures: (10 – 4 = 6). Alex had 8 action figures then bought 6 more. To go from 8 up to 10 we add 2 from the 6 and then we add the 4 remaining to the 10 to get 14. To find how many more action figures Alex has than Jeffery we need to subtract 6 from 14: 14 – 6 = 8. Alex has 8 more action figures than Jeffery.
3rd to 5th Grades
Answer: Tuesday, May 8th
7 days from Friday will be Friday, so 21 days from Friday will also be Friday. 4 days after Friday will be Tuesday. Starting from Fri: Sat → Sun → Mon → Tue. There are 30 days in April. On Fri, April 13th, there are 17 days left in April (30 – 13 = 17). To find how many days it goes into May subtract 17 from 25: 25 – 17 = 8. This means 25 days from April 13th leaves us with 8 days in May, which is May 8th.
6th Grade to Pre Algebra
Answer: 5.25 Hours
Every hour Train B is 24 miles farther ahead of Train A (75 – 51 = 24). To find how many hours it takes for the distance between the two trains to 126 miles, we need to find how many 24s fit into 126. This is done by dividing 24 into 126: 126 ÷ 24 = 5.25 hours.
Another way to solve this problem is using the distance formula (d = rt). Train A: dA = rAtA = 51tA. Train B: dB = 75tB. Subtracting dA from dB will leave us with the distance between the two trains. It is also important to note that when the trains are 126 miles apart, tA = tB = t. 75t – 51t = 126, 24t = 126, t = 5.25 hours.
Algebra & Up
Answer: $179.07
In one month David’s current car uses 73⅓ gallons of gas (1540 / 21 = 73⅓). David currently spends $289.67 a month on gas (73⅓ ● $3.95 per gallon = $289.67). If David were driving the hybrid car he would use 28 gallons of gas a month (1540 / 55 = 28) and would spend $110.06 a month on gas (28 ● $3.95 per gallon = $110.60). We can conclude that if David switched to driving a hybrid car he would save $179.07 a month in gas ($289.67 – $110.60 = $179.07).
Answer: 8 Action Figures
Jeffery lost 4 of his 10 action figures: (10 – 4 = 6). Alex had 8 action figures then bought 6 more. To go from 8 up to 10 we add 2 from the 6 and then we add the 4 remaining to the 10 to get 14. To find how many more action figures Alex has than Jeffery we need to subtract 6 from 14: 14 – 6 = 8. Alex has 8 more action figures than Jeffery.
3rd to 5th Grades
Answer: Tuesday, May 8th
7 days from Friday will be Friday, so 21 days from Friday will also be Friday. 4 days after Friday will be Tuesday. Starting from Fri: Sat → Sun → Mon → Tue. There are 30 days in April. On Fri, April 13th, there are 17 days left in April (30 – 13 = 17). To find how many days it goes into May subtract 17 from 25: 25 – 17 = 8. This means 25 days from April 13th leaves us with 8 days in May, which is May 8th.
6th Grade to Pre Algebra
Answer: 5.25 Hours
Every hour Train B is 24 miles farther ahead of Train A (75 – 51 = 24). To find how many hours it takes for the distance between the two trains to 126 miles, we need to find how many 24s fit into 126. This is done by dividing 24 into 126: 126 ÷ 24 = 5.25 hours.
Another way to solve this problem is using the distance formula (d = rt). Train A: dA = rAtA = 51tA. Train B: dB = 75tB. Subtracting dA from dB will leave us with the distance between the two trains. It is also important to note that when the trains are 126 miles apart, tA = tB = t. 75t – 51t = 126, 24t = 126, t = 5.25 hours.
Algebra & Up
Answer: $179.07
In one month David’s current car uses 73⅓ gallons of gas (1540 / 21 = 73⅓). David currently spends $289.67 a month on gas (73⅓ ● $3.95 per gallon = $289.67). If David were driving the hybrid car he would use 28 gallons of gas a month (1540 / 55 = 28) and would spend $110.06 a month on gas (28 ● $3.95 per gallon = $110.60). We can conclude that if David switched to driving a hybrid car he would save $179.07 a month in gas ($289.67 – $110.60 = $179.07).
Pre-K to 2nd Grades
Alana baked a pie for her friends and cut it into 8 pieces. If Alana ate one piece, Jeremy ate 2 pieces, and Stephanie ate half the pie, how many pieces is left?
3rd to 5th Grades
Jeremy made plans to arrive at his friend John’s house at 12:30 pm. It takes Jeremy half an hour to ride his bike to John’s house. Jeremy looked up at the clock and realized he would have to wait 45 minutes to leave his house in order to arrive at his friend’s house on time. When did Jeremy looked at the clock, what time was it?
6th Grades to Pre-Algebra
James sold 54 of his baseball card collection. If this represents 12.5% of his total baseball card collection, how many total baseball cards does James have after he sold his cards?
Algebra and Up
Bill ran 4 miles farther than Ted, Ted ran 3½ miles less than Randall, and Susan ran 1¾ miles farther than Bill. If Bill, Ted, Randall, and Susan collectively ran 38¼ miles, how far did each one of them run?
Bill ran 4 miles farther than Ted, Ted ran 3½ miles less than Randall, and Susan ran 1¾ miles farther than Bill. If Bill, Ted, Randall, and Susan collectively ran 38¼ miles, how far did each one of them run?
Answers
Pre-K to 2nd Grades
Answer: 1 Piece
The whole pie is divided into 8 pieces. Alana ate 1, Jeremy ate 2, and Stephanie ate half the pie. Half of 8 is 4. Altogether they ate 7 pieces (1 + 2 + 4 = 7). 8 pieces – 7 pieces = 1 piece.
3rd to 5th Grades
Answer: 11:15 am
Because it takes Jeremy 30 minutes to get to his friend’s house, he would need to leave at 12:00 pm to get there at 12:30 pm. When Jeremy looked at the clock he realized he needs to wait 45 minutes to leave, which means it is 45 minutes until 12:00 pm or 11:15 am.
6th Grade to Pre Algebra
Answer: 378 Cards
54 cards is 12.5% of James’s baseball card collection. 12.5% of what number equals 54? 12.5% is 0.125 as a decimal, or ⅛ as a fraction. ⅛ × __ = 54 —> 8 × 54 = 432 cards. Because he sold 54 of his cards take away 54 (the part) from 432 (the whole) = 378 cards.
Algebra & Up
Answer: Bill ran 10¼ miles, Ted ran 6¼ miles,
Randall ran 9¾ miles, and Susan ran 12 miles
Let b be Bill, t be Ted, r be Randall, and s be Susan. Since we need to solve for 4 variables we need 4 equations. Bill ran 4 miles farther than Ted: b = t + 4 (1). Ted ran 3½ miles less than Randall: t = r – 3½ (2). Susan ran 1¾ miles farther than Bill: s = b + 1¾ (3). Together they ran 38¼ miles: b + t + r + s = 38¼ (4). We need to write them all in terms of a single variable. Solve each variable in terms of t. From equation 2: t = r – 3½ —> r = t + 3½ (5). From equation 3: s = b + 1¾ = (t + 4) + 1¾ (because b = t + 4) (6). Substituting equations 1, 5, 6 into equation 4 we get: (t + 4) + t + (t + 3½) + ((t + 4) + 1¾) = 38¼. Simplify and solve: 4t + 13¼ = 38¼ —> 4t = 25 —> t = 6¼ miles. Substitute this back into equations 1, 5, and 6 to solve for the other runners. b = t + 4 = 6¼ + 4 = 10¼ miles, r = t + 3½ = 6¼ + 3½ = 9¾ miles, s = (t + 4) + 1¾ = (6¼ + 4) + 1¾ = 12 miles.
Answer: 1 Piece
The whole pie is divided into 8 pieces. Alana ate 1, Jeremy ate 2, and Stephanie ate half the pie. Half of 8 is 4. Altogether they ate 7 pieces (1 + 2 + 4 = 7). 8 pieces – 7 pieces = 1 piece.
3rd to 5th Grades
Answer: 11:15 am
Because it takes Jeremy 30 minutes to get to his friend’s house, he would need to leave at 12:00 pm to get there at 12:30 pm. When Jeremy looked at the clock he realized he needs to wait 45 minutes to leave, which means it is 45 minutes until 12:00 pm or 11:15 am.
6th Grade to Pre Algebra
Answer: 378 Cards
54 cards is 12.5% of James’s baseball card collection. 12.5% of what number equals 54? 12.5% is 0.125 as a decimal, or ⅛ as a fraction. ⅛ × __ = 54 —> 8 × 54 = 432 cards. Because he sold 54 of his cards take away 54 (the part) from 432 (the whole) = 378 cards.
Algebra & Up
Answer: Bill ran 10¼ miles, Ted ran 6¼ miles,
Randall ran 9¾ miles, and Susan ran 12 miles
Let b be Bill, t be Ted, r be Randall, and s be Susan. Since we need to solve for 4 variables we need 4 equations. Bill ran 4 miles farther than Ted: b = t + 4 (1). Ted ran 3½ miles less than Randall: t = r – 3½ (2). Susan ran 1¾ miles farther than Bill: s = b + 1¾ (3). Together they ran 38¼ miles: b + t + r + s = 38¼ (4). We need to write them all in terms of a single variable. Solve each variable in terms of t. From equation 2: t = r – 3½ —> r = t + 3½ (5). From equation 3: s = b + 1¾ = (t + 4) + 1¾ (because b = t + 4) (6). Substituting equations 1, 5, 6 into equation 4 we get: (t + 4) + t + (t + 3½) + ((t + 4) + 1¾) = 38¼. Simplify and solve: 4t + 13¼ = 38¼ —> 4t = 25 —> t = 6¼ miles. Substitute this back into equations 1, 5, and 6 to solve for the other runners. b = t + 4 = 6¼ + 4 = 10¼ miles, r = t + 3½ = 6¼ + 3½ = 9¾ miles, s = (t + 4) + 1¾ = (6¼ + 4) + 1¾ = 12 miles.
Pre-K to 2nd Grades
Frankie had 6 friends over and each wanted half a pizza. How many pizzas does Frankie need to order in order to feed himself and his friends?
3rd to 5th Grades
Jean decided to ride her bike to her school that is 6 miles away. If she is a quarter of the way there, how many more miles does she have ride?
6th Grades to Pre-Algebra
Saturn is around 744 million miles away from the Earth. If the distance from the Sun to the Earth is 1/8 the distance from Earth to Saturn, how many minutes does it take a beam of light to travel from the Sun to Saturn? Note: Light travels at about 186,000 miles per second.
Algebra and Up
Jessica scored a total of 763 points during her basketball season. She scored 7 more 2-pointers than 3 times the total 3-pointers. She also scored 23 more free throws than double the amount of 3-pointers. How many of each basket did she shoot?
Jessica scored a total of 763 points during her basketball season. She scored 7 more 2-pointers than 3 times the total 3-pointers. She also scored 23 more free throws than double the amount of 3-pointers. How many of each basket did she shoot?
Answers
Pre-K to 2nd Grades
Answer: 4 Pizzas
Including Frankie, there are 7 people eating pizza. If each person were to have half a pizza it would add up to 3 ½ pizzas. Because you can’t order half a pizza, Frankie would need to order 4 pizzas.
3rd to 5th Grades
Answer: 4½ miles
A quarter is equal to half of a half. Half of 6 = 3, Half of 3 = 1½. A quarter of 6 is 1½. One part is equal to a whole minus the other part. Subtract 1½ from 6 to get the answer 4½. (6 – 1 = 5 and 5 – ½ = 4½)
6th Grade to Pre Algebra
Answer: 75 minutes
First find how far the Earth is from the Sun. 1/8 is half of a half of a half. 1/8 of 744 is 93. Add 93 to 744 to find Saturn is 837 million miles away from the sun. Divide 837 million by how fast light travels (1.86×105 per second) to find it takes 4500 seconds for light to cover that distance. Lastly, put the answer in minutes by dividing 4500 by 60 = 75 minutes.
Algebra & Up
Answer: 155 free throws, 205 2-pointers, and 66 3-pointers
In order to solve for 3 unknowns you need 3 equations. Start by assigning x to free throws, y to 2-pointers, and z to 3 pointers. Because the variables are assigned to the number of baskets of each, we need to multiply each type of basket with their respective point value. Equation 1: x + 2y + 3z = 763 —> “Jessica scored a total of 763 points composed of freethrows, 2-pointers, and 3-pointers.” Equation 2: y = 3z + 7 —> “She scored 7 more 2-pointers than 3 times the total 3-pointers.” Equation 3: x = 2z + 23 —> “She also scored 23 more free throws than double the amount of 3-pointers.” Because x and y are both expressed in terms of z we can substitute them into equation 1 yields: (2z + 23) + 2(3z + 7) + 3z = 763. Solving for z we find that Eddie scored 66 3-pointers. Substituting 66 for the z values in both equations 2 and 3 yields: y = 3(66) + 7 = 205 and x = 2(66) + 23 = 155
Answer: 4 Pizzas
Including Frankie, there are 7 people eating pizza. If each person were to have half a pizza it would add up to 3 ½ pizzas. Because you can’t order half a pizza, Frankie would need to order 4 pizzas.
3rd to 5th Grades
Answer: 4½ miles
A quarter is equal to half of a half. Half of 6 = 3, Half of 3 = 1½. A quarter of 6 is 1½. One part is equal to a whole minus the other part. Subtract 1½ from 6 to get the answer 4½. (6 – 1 = 5 and 5 – ½ = 4½)
6th Grade to Pre Algebra
Answer: 75 minutes
First find how far the Earth is from the Sun. 1/8 is half of a half of a half. 1/8 of 744 is 93. Add 93 to 744 to find Saturn is 837 million miles away from the sun. Divide 837 million by how fast light travels (1.86×105 per second) to find it takes 4500 seconds for light to cover that distance. Lastly, put the answer in minutes by dividing 4500 by 60 = 75 minutes.
Algebra & Up
Answer: 155 free throws, 205 2-pointers, and 66 3-pointers
In order to solve for 3 unknowns you need 3 equations. Start by assigning x to free throws, y to 2-pointers, and z to 3 pointers. Because the variables are assigned to the number of baskets of each, we need to multiply each type of basket with their respective point value. Equation 1: x + 2y + 3z = 763 —> “Jessica scored a total of 763 points composed of freethrows, 2-pointers, and 3-pointers.” Equation 2: y = 3z + 7 —> “She scored 7 more 2-pointers than 3 times the total 3-pointers.” Equation 3: x = 2z + 23 —> “She also scored 23 more free throws than double the amount of 3-pointers.” Because x and y are both expressed in terms of z we can substitute them into equation 1 yields: (2z + 23) + 2(3z + 7) + 3z = 763. Solving for z we find that Eddie scored 66 3-pointers. Substituting 66 for the z values in both equations 2 and 3 yields: y = 3(66) + 7 = 205 and x = 2(66) + 23 = 155
Pre-K to 2nd Grades
Together Jeremy, Molly, and Billy have 16 pencils. If Jeremy has 4 pencils and Molly has 9 pencils, how many pencils does Billy have?
3rd to 5th Grades
Emily made 1 dozen chocolate chip cookies. If the recipe calls for 3/4 of a cup of chocolate chips for 1 dozen cookies, how much chocolate chips does she need for 3 dozen cookies?
6th Grades to Pre-Algebra
A basketball tournament has 11 teams. Every team has to play every other team twice. Then the top 4 teams go on to single elimination play-offs. If you went to every game, how many games will you attend?
Algebra and Up
In a classroom of students, 17 have brown eyes, 7 have blonde hair, and 9 do not have brown eyes or blond hair. If 4 of those students are brown-eyed blondes, how many students are in the classroom?
In a classroom of students, 17 have brown eyes, 7 have blonde hair, and 9 do not have brown eyes or blond hair. If 4 of those students are brown-eyed blondes, how many students are in the classroom?
Answers
Pre-K to 2nd Grades
Answer: 3 Pencils
A part is the whole minus the other parts. Subtract the 4 pencils Jeremy has and the 9 pencils Molly has from the 16 pencils. 16 pencils – 4 pencils – 9 pencils = 3 pencils.
3rd to 5th Grades
Answer: 2¼ Cups
A dozen cookies require ¾ cup of chocolate chips, so 3 dozen cookies require three ¾ cups of chocolate chips.
¾ + ¾ + ¾ = 9/4 = 2¼ cups.
6th Grade to Pre Algebra
Answer: 113 Games
If each of the 11 teams play the other 10 teams once, there will be (11 • 10)/2 games played in order to avoid double counting because team A playing team B = team B playing team A. Since each team plays the other twice, the answer is just 11 • 10 = 110. Lastly, because there are play-offs, 4 teams go against each other. In the semi-finals there are 2 games and the winners play one last time in the finals totaling 3 games. Adding together the 2 parts together we find our answer which is the whole. 110 + 3 = 113.
Algebra & Up
Answer: 29 Students
17 students would belong to the brown eyed part, 7 students would belong to the blonde haired part, but 4 students belong to both the brown eyed group and the blonde haired part. By subtracting those students who have both brown eyes and blonde hair from both parts we see that 13 students in class have brown eyes and not blonde hair and 3 students in class have blonde hair and not brown eyes. by adding all the groups together, including the group that does not have brown eyes or blonde hair we can find how many students are in the class, the whole. 13 students + 3 Students + 4 Students + 9 Students = 29 Students
.png)
Answer: 3 Pencils
A part is the whole minus the other parts. Subtract the 4 pencils Jeremy has and the 9 pencils Molly has from the 16 pencils. 16 pencils – 4 pencils – 9 pencils = 3 pencils.
3rd to 5th Grades
Answer: 2¼ Cups
A dozen cookies require ¾ cup of chocolate chips, so 3 dozen cookies require three ¾ cups of chocolate chips.
¾ + ¾ + ¾ = 9/4 = 2¼ cups.
6th Grade to Pre Algebra
Answer: 113 Games
If each of the 11 teams play the other 10 teams once, there will be (11 • 10)/2 games played in order to avoid double counting because team A playing team B = team B playing team A. Since each team plays the other twice, the answer is just 11 • 10 = 110. Lastly, because there are play-offs, 4 teams go against each other. In the semi-finals there are 2 games and the winners play one last time in the finals totaling 3 games. Adding together the 2 parts together we find our answer which is the whole. 110 + 3 = 113.
Algebra & Up
Answer: 29 Students
17 students would belong to the brown eyed part, 7 students would belong to the blonde haired part, but 4 students belong to both the brown eyed group and the blonde haired part. By subtracting those students who have both brown eyes and blonde hair from both parts we see that 13 students in class have brown eyes and not blonde hair and 3 students in class have blonde hair and not brown eyes. by adding all the groups together, including the group that does not have brown eyes or blonde hair we can find how many students are in the class, the whole. 13 students + 3 Students + 4 Students + 9 Students = 29 Students
Pre-K to 2nd Grades
Jeremy bought a sandwich for $4.00, a drink for $1.50, and chips for $1.00. Lola bought the same sandwich and a drink, but instead of buying chips she bought a cookie. If Lola’s whole meal costs her $6.00, how much did she pay for the cookie?
3rd to 5th Grades
A certain elephant weighs 172 pounds more than 9 times the weight of a Honda Civic. If a Honda Civic weighs 2608 pounds, how much does this elephant weigh?
6th Grades to Pre-Algebra
The iPad 2 has a screen resolution of 1024×768 and the new iPad 3’s screen resolution is double that of the iPad2. If the screen on both the iPad 2 and the iPad 3 are 5.8 inches wide and 7.8 inches tall, how many more pixels per square inch does the iPad 3 have than the iPad 2? Round your answer to the nearest pixel.
Algebra and Up
Three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. Find all three integers.
Three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. Find all three integers.
Answers
Pre-K to 2nd Grades
Answer: 50¢
Lola brought a sandwich, a drink, and a cookie for 6¢. The sandwich costs $4 and the drink costs $1.50. The cookie costs $6 - $4 - $1.50 = 50¢.
3rd to 5th Grades
Answer: 23,644 lbs
The elephant weights 172 lbs more than 9 times the Honda Civic, or 172 + 9 x 2608 = 23,644 lbs.
6th Grade to Pre Algebra
Answer:About 52,150 pixels more per in2.
The iPad 2 and 3 screen area is 5.8 x 7.8 = 45.24 in2. The iPad 2 screen resolution is 1.024 x 768 = 786,432 pixels, and the number of pixels/in2 = 486,432/45.24 = 17,384 pixels/in2. The iPad 3 screen resolution is 2048 x 1536 = 3,145,728 pixels, and the number of pixels/in2 = 3,145,728/45.24 = 69,534 pixels/in2. The difference is 69,534 - 17,384 = 52,150 pixels/in2.
Algebra & Up
Answer: 20, 22, 24
Let n be the first number, then these 3 consecutive integers are n, n+2, n+4. Rewriting the question in algebraic form:
n+3(n+2)=38+2(n+4)
Solving for n:
n +3n+6=38+2n+8
4n+6=2n+46
2n=40
n=20
Therefore the consecutive numbers are 20, 20+2, and 20+4 or 20, 22, 24.
Answer: 50¢
Lola brought a sandwich, a drink, and a cookie for 6¢. The sandwich costs $4 and the drink costs $1.50. The cookie costs $6 - $4 - $1.50 = 50¢.
3rd to 5th Grades
Answer: 23,644 lbs
The elephant weights 172 lbs more than 9 times the Honda Civic, or 172 + 9 x 2608 = 23,644 lbs.
6th Grade to Pre Algebra
Answer:About 52,150 pixels more per in2.
The iPad 2 and 3 screen area is 5.8 x 7.8 = 45.24 in2. The iPad 2 screen resolution is 1.024 x 768 = 786,432 pixels, and the number of pixels/in2 = 486,432/45.24 = 17,384 pixels/in2. The iPad 3 screen resolution is 2048 x 1536 = 3,145,728 pixels, and the number of pixels/in2 = 3,145,728/45.24 = 69,534 pixels/in2. The difference is 69,534 - 17,384 = 52,150 pixels/in2.
Algebra & Up
Answer: 20, 22, 24
Let n be the first number, then these 3 consecutive integers are n, n+2, n+4. Rewriting the question in algebraic form:
n+3(n+2)=38+2(n+4)
Solving for n:
n +3n+6=38+2n+8
4n+6=2n+46
2n=40
n=20
Therefore the consecutive numbers are 20, 20+2, and 20+4 or 20, 22, 24.
Pre-K to 2nd Grades
Jesse ran 6 laps around the school yard. If Scott ran 3 laps more than Jesse, how many total laps did Scott and Jesse run together?
3rd to 5th Grades
A certain type of hummingbird can flap its wings 70 times per second. How many times does the hummingbird flap its wings in five minutes?
6th Grades to Pre-Algebra
If the earth were the size of a basketball, how tall would the 1250-foot tall Empire State building be? The earth has diameter of 42,000,000 feet and a basketball’s diameter is 2.5 feet.
Algebra and Up
A 25 pound bag of sand is 20% red. The rest of the sand is white. How much red sand must be added to make a mixture that is 25% red?
A 25 pound bag of sand is 20% red. The rest of the sand is white. How much red sand must be added to make a mixture that is 25% red?
Answers
Pre-K to 2nd Grades
Answer: 15 Laps
Scott ran 3 more laps that Jesse. Because Jesse ran 6 laps, Scott ran 9 laps (3 more than 6). Adding the laps gives 15 laps (9 laps + 6 laps).
3rd to 5th Grades
Answer: 21,000 Times
This hummingbird flaps its wings 70 times per second. That means it flaps it wings 4200 per minute (70 × 60). In 5 minutes it flaps its wings 5 times 4200 or 21,000 times.
6th Grade to Pre Algebra
Answer: About 2.4×10-5 Feet
This problem is best solved using proportional thinking.
42,000,000/1250 = 0.8/x. Cross-multiply and solve for x.
42,000,000x = 1250(0.8) —> 42,000,000x = 1000
x = 1000/42,000,000 ≈ 0.000024 = 2.4×10-5 feet
Algebra & Up
Answer: 1⅔ Pounds
20% of a 25 pound is 5 pounds. There are 5 pounds of red sand and 20 pounds of white sand. The amount of white sand doesn’t change. The final mixture is supposed to be 25% red sand which means it will be 75% white sand. One way to find the solution is the answer the question 75% of what number is 20? Let t be the total amount of sand after adding the red sand. 0.75t = 20 —> t = 26⅔. Because we originally had 25 pounds of sand, the difference between the original amount and the new amount is 1⅔ pounds (26⅔ – 25).
We can also solve this algebraically by using proportions. Let r equal the amount of red sand added: 5+r/25+r = .25 = ¼. The ratio of the new amount of red (5+r) to the new total amount (25+r) is 25% or ¼. Cross-multiply and solve for r. 4(5 + r) = 25 + r —> 20 + 4r = 25 + r —> 3r = 5 —>r = 5/3 = 1⅔ pounds.
Answer: 15 Laps
Scott ran 3 more laps that Jesse. Because Jesse ran 6 laps, Scott ran 9 laps (3 more than 6). Adding the laps gives 15 laps (9 laps + 6 laps).
3rd to 5th Grades
Answer: 21,000 Times
This hummingbird flaps its wings 70 times per second. That means it flaps it wings 4200 per minute (70 × 60). In 5 minutes it flaps its wings 5 times 4200 or 21,000 times.
6th Grade to Pre Algebra
Answer: About 2.4×10-5 Feet
This problem is best solved using proportional thinking.
42,000,000/1250 = 0.8/x. Cross-multiply and solve for x.
42,000,000x = 1250(0.8) —> 42,000,000x = 1000
x = 1000/42,000,000 ≈ 0.000024 = 2.4×10-5 feet
Algebra & Up
Answer: 1⅔ Pounds
20% of a 25 pound is 5 pounds. There are 5 pounds of red sand and 20 pounds of white sand. The amount of white sand doesn’t change. The final mixture is supposed to be 25% red sand which means it will be 75% white sand. One way to find the solution is the answer the question 75% of what number is 20? Let t be the total amount of sand after adding the red sand. 0.75t = 20 —> t = 26⅔. Because we originally had 25 pounds of sand, the difference between the original amount and the new amount is 1⅔ pounds (26⅔ – 25).
We can also solve this algebraically by using proportions. Let r equal the amount of red sand added: 5+r/25+r = .25 = ¼. The ratio of the new amount of red (5+r) to the new total amount (25+r) is 25% or ¼. Cross-multiply and solve for r. 4(5 + r) = 25 + r —> 20 + 4r = 25 + r —> 3r = 5 —>r = 5/3 = 1⅔ pounds.
Pre-K to 2nd Grades
James can kick a soccer ball 10 feet farther than Sam. Sam can kick a soccer ball 7 feet farther than Alex. If Alex can kick a soccer ball 39 feet, how far can James kick a soccer ball?
3rd to 5th Grades
Altogether, Pamela, Jayme, and Francis have $4.38. If Pamela has 3 quarters, 2 dimes, and 14 pennies and Jayme has 6 quarters, 4 dimes, 3 nickels, and 9 pennies, how much money does Francis have?
6th Grades to Pre-Algebra
Megan wants to bake cupcakes for her math class. For 1 dozen cupcakes she will need 2 eggs, a ½ cup of butter, 1½ cups of flour, and ¾ of a cup of sugar. If she needs to make 30 cupcakes in order for all everyone in her class to have one, how much of each ingredient does Megan need?
Algebra and Up
Gerald drove from his home to the city at a rate of 50 mph. He returned home along the same route at a faster speed, making his average rate for the round trip 60 mph. What was his returning speed?
Gerald drove from his home to the city at a rate of 50 mph. He returned home along the same route at a faster speed, making his average rate for the round trip 60 mph. What was his returning speed?
Answers
Pre-K to 2nd Grades
Answer: 56 Feet
Work backwards. Alex can kick a soccer ball 39 feet. Sam can kick it 7 feet further than Alex, 39 + 7 = 46 feet. James can kick a soccer ball 10 feet further than Sam, 46 + 10 = 56 feet.
3rd to 5th Grades
Answer: $1.15
Pamela has 3 quarters, 2 dimes, and 14 pennies: $0.75 + $0.20 + $0.14 = $1.09 . Jayme has 6 quarters, 4 dimes, 3 nickels, and 9 pennies = $1.50 + $0.40 + $0.15 + $0.09 = $2.14. A part is equal to the whole minus the other parts, subtract Pamela and Jayme’s amount from the whole to find how much Francis has: $4.38 – $1.09 – $2.14 = $1.15.
6th Grade to Pre Algebra
Answer: 5 eggs, 1¼ cups butter, 3¾ cups flower, 1⅞ cups sugar
A dozen is equal to 12. In order to make 30 cupcakes, she needs to make 2½ dozen cupcakes (1 dozen+1 dozen+½ dozen=12+12+6= 30). This means we need to multiply each ingredient by 2½.
2½ x 2 eggs= 2 x 2 + ½ x 2 = 4 + 1 = 5 eggs.
2½ x ½ cup butter= 2 x ½ + ½ x ½ =1 + ¼ = 1¼ cups of butter.
2½ x 1½ cups flower = 2½x1½ + ½ x1½ = 3 + ¾ = 3 ¾ cups flower.
2½ x ¾ cup sugar = 2 x ¾ + ½ x ¾ =1½ + ⅜ = 1⅞ cups sugar.
Algebra & Up
Answer: 75 mph.
Distance equals rate times time (d = rt). Divide both sides by t we get rate (r = d/t). Or divided both sides by r we get time (t = d/r). Average rate = total distance / total time: ravg = dtot/ttot (1). Before we can solve for the avg. rate we first need to find the total distance and the total time. Gerald drove d miles to the city and another d mile back home. Altogether he drove a total distance of 2d. dtot = 2d (2). The total time Gerald takes to make the whole trip is equal to the time it takes for him to drive from his home to the city and then the time it takes for him to drive from the city, back home.t = d/r —> ttot = d/rc + d/rh = d/50 + d/rh (3). Substituting equation 2 and 3 in to equation 1 we get:
Answer: 56 Feet
Work backwards. Alex can kick a soccer ball 39 feet. Sam can kick it 7 feet further than Alex, 39 + 7 = 46 feet. James can kick a soccer ball 10 feet further than Sam, 46 + 10 = 56 feet.
3rd to 5th Grades
Answer: $1.15
Pamela has 3 quarters, 2 dimes, and 14 pennies: $0.75 + $0.20 + $0.14 = $1.09 . Jayme has 6 quarters, 4 dimes, 3 nickels, and 9 pennies = $1.50 + $0.40 + $0.15 + $0.09 = $2.14. A part is equal to the whole minus the other parts, subtract Pamela and Jayme’s amount from the whole to find how much Francis has: $4.38 – $1.09 – $2.14 = $1.15.
6th Grade to Pre Algebra
Answer: 5 eggs, 1¼ cups butter, 3¾ cups flower, 1⅞ cups sugar
A dozen is equal to 12. In order to make 30 cupcakes, she needs to make 2½ dozen cupcakes (1 dozen+1 dozen+½ dozen=12+12+6= 30). This means we need to multiply each ingredient by 2½.
2½ x 2 eggs= 2 x 2 + ½ x 2 = 4 + 1 = 5 eggs.
2½ x ½ cup butter= 2 x ½ + ½ x ½ =1 + ¼ = 1¼ cups of butter.
2½ x 1½ cups flower = 2½x1½ + ½ x1½ = 3 + ¾ = 3 ¾ cups flower.
2½ x ¾ cup sugar = 2 x ¾ + ½ x ¾ =1½ + ⅜ = 1⅞ cups sugar.
Algebra & Up
Answer: 75 mph.
Distance equals rate times time (d = rt). Divide both sides by t we get rate (r = d/t). Or divided both sides by r we get time (t = d/r). Average rate = total distance / total time: ravg = dtot/ttot (1). Before we can solve for the avg. rate we first need to find the total distance and the total time. Gerald drove d miles to the city and another d mile back home. Altogether he drove a total distance of 2d. dtot = 2d (2). The total time Gerald takes to make the whole trip is equal to the time it takes for him to drive from his home to the city and then the time it takes for him to drive from the city, back home.t = d/r —> ttot = d/rc + d/rh = d/50 + d/rh (3). Substituting equation 2 and 3 in to equation 1 we get:
Pre-K to 2nd Grades
At the beach, Sally found 24 seashells, Jenny found 18 seashells, and Robert found 21 seashells. How many seashells did they find altogether?
3rd to 5th Grades
An average school bus is 39 feet long. The world’s largest mammal, the blue whale is approximately 2 and a half times longer than the average school bus. How long is a blue whale?
6th Grades to Pre-Algebra
It takes the earth 23.934 hours to make a complete rotation around its axis. If the circumference of the earth at its equator is 24,901.55 miles, how fast, in mph, does the earth spin? (Round answer to the nearest tenth.)
Algebra and Up
6 paint brushes and 2 gallons of paint cost $21.00. 3 paint brushes and 4 gallons of paint cost $28.50. How much does 1 paint brush and 1 gallon of paint cost?
6 paint brushes and 2 gallons of paint cost $21.00. 3 paint brushes and 4 gallons of paint cost $28.50. How much does 1 paint brush and 1 gallon of paint cost?
Answers
Pre-K to 2nd Grades
Answer: 63 Shells
Add the number of seashells found together. 24 + 18 + 21 = 63 shells.
3rd to 5th Grades
Answer: 97½ Feet
To find the length of a blue whale, we multiply 39 by 2½. 39 x 2½ = 39 x 2 + half of 39 = 78 + 19½ = 97½.
6th Grade to Pre Algebra
Answer: 1040.4 mph
Divide 24,901.55 miles by 23.934 hours. 24,901.55 miles ÷ 23.934 hours ≈ 1040.4 miles/hour
Algebra & Up
Answer: $7.50
Let b = cost of 1 paint brush and p = cost of 1 gallon of paint. 2 unknown variables (b and p) means we need two equations to solve for both. “6 paint brushes and 2 gallons of paint cost $21.00” algebraically is: 6b + 2p = 21.00 (1). “3 paint brushes and 4 gallons of paint cost $28.50” algebraically is: 3b + 4p = 28.50 (2). Using the elimination method, solve for p
6b + 2p = 21.00
+ –2(3b + 4p = 28.50)
–6p = –36.00
p = 6
Substitute this for equation 1 or equation 2 to solve for the cost of a single brush (b).
Using equation 1: 6b + 2(6) = 21.00, 6b + 12 = 21.00, 6b = 9.00, b = 1.50
Using equation 2: 3b + 4(6) = 28.50, 3b + 24 = 28.50, 3b = 4.50, b = 1.50
Add $6.00 and $1.50 to get a total cost of 1 paint brush and 1 gallon of paint to be $7.50.
Answer: 63 Shells
Add the number of seashells found together. 24 + 18 + 21 = 63 shells.
3rd to 5th Grades
Answer: 97½ Feet
To find the length of a blue whale, we multiply 39 by 2½. 39 x 2½ = 39 x 2 + half of 39 = 78 + 19½ = 97½.
6th Grade to Pre Algebra
Answer: 1040.4 mph
Divide 24,901.55 miles by 23.934 hours. 24,901.55 miles ÷ 23.934 hours ≈ 1040.4 miles/hour
Algebra & Up
Answer: $7.50
Let b = cost of 1 paint brush and p = cost of 1 gallon of paint. 2 unknown variables (b and p) means we need two equations to solve for both. “6 paint brushes and 2 gallons of paint cost $21.00” algebraically is: 6b + 2p = 21.00 (1). “3 paint brushes and 4 gallons of paint cost $28.50” algebraically is: 3b + 4p = 28.50 (2). Using the elimination method, solve for p
6b + 2p = 21.00
+ –2(3b + 4p = 28.50)
–6p = –36.00
p = 6
Substitute this for equation 1 or equation 2 to solve for the cost of a single brush (b).
Using equation 1: 6b + 2(6) = 21.00, 6b + 12 = 21.00, 6b = 9.00, b = 1.50
Using equation 2: 3b + 4(6) = 28.50, 3b + 24 = 28.50, 3b = 4.50, b = 1.50
Add $6.00 and $1.50 to get a total cost of 1 paint brush and 1 gallon of paint to be $7.50.
Pre-K to 2nd Grades
A 12 foot rope is cut into 3 pieces. If the first piece is 4 feet long and the second piece is 3 feet long, how long is the third piece?
3rd to 5th Grades
Jillian has 6 dolls. If she were to add 8 more dolls to her collection she will have twice as many as Maria. How many dolls does Maria have?
6th Grades to Pre-Algebra
Maddy spent 1/3 of the money she had on an outfit. She then earned $390.50 from her job. After all of this she had 5/4 the amount of money she originally had. How much money did Maddy have to start with?
Algebra and Up
A diagonal cuts a rectangle into 2 equal 30-60-90 triangles and has a length of √35 units. What is the area of the rectangle?
A diagonal cuts a rectangle into 2 equal 30-60-90 triangles and has a length of √35 units. What is the area of the rectangle?
Answers
Pre-K to 2nd Grades
Answer: 5 Feet
Together the 1st and 2nd parts of the rope are 7 feet long (4 + 3). To find how long the 3rd piece of rope is we need to find how far it is from 7 up to 12. 7 up to 10 = 3 and 10 up to 12 = 2, so altogether it is 5 (2 + 3).
3rd to 5th Grades
Answer: 7 Dolls
Jillian has 6 dolls plus 8 more dolls, a total of 14 dolls (6 + 8 = 14). Maria has half as many. Half of 14 is 7, so Maria has 7 dolls.
6th Grade to Pre Algebra
Answer: $792.00
Maddy spent a 1/3 of her money. She still had 2/3 of it left. 2/3 of the total (x) plus the money she earned, $462, is equal to 5/4 of the total. 2/3(x) + 462 = 5/4(x), x = $792.00
Algebra & Up
Answer: (35√3)/4 units2
When this rectangle is cut in half by a diagonal it creates two identical 30-60-90 triangles. The relationship between the rectangle’s diagonal (d) and its two sides are S1 = ½d and S2 = S1√3. solve for S1 and S2 then multiply these sides to find the area of the rectangle. S1 = ½d = ½√35 units, S2 = S1√3 = ½√35 units ● √3 = ½√105 units, Area = S1 ● S2 = ½√35 units ● ½√105 units = ¼√3675 units2 = (35√3)/4 units2.
Answer: 5 Feet
Together the 1st and 2nd parts of the rope are 7 feet long (4 + 3). To find how long the 3rd piece of rope is we need to find how far it is from 7 up to 12. 7 up to 10 = 3 and 10 up to 12 = 2, so altogether it is 5 (2 + 3).
3rd to 5th Grades
Answer: 7 Dolls
Jillian has 6 dolls plus 8 more dolls, a total of 14 dolls (6 + 8 = 14). Maria has half as many. Half of 14 is 7, so Maria has 7 dolls.
6th Grade to Pre Algebra
Answer: $792.00
Maddy spent a 1/3 of her money. She still had 2/3 of it left. 2/3 of the total (x) plus the money she earned, $462, is equal to 5/4 of the total. 2/3(x) + 462 = 5/4(x), x = $792.00
Algebra & Up
Answer: (35√3)/4 units2
When this rectangle is cut in half by a diagonal it creates two identical 30-60-90 triangles. The relationship between the rectangle’s diagonal (d) and its two sides are S1 = ½d and S2 = S1√3. solve for S1 and S2 then multiply these sides to find the area of the rectangle. S1 = ½d = ½√35 units, S2 = S1√3 = ½√35 units ● √3 = ½√105 units, Area = S1 ● S2 = ½√35 units ● ½√105 units = ¼√3675 units2 = (35√3)/4 units2.
Pre-K to 2nd Grades
Sam bought 17 bagels and Heather bought two dozen bagels. How many more bagels did Heather buy than Sam?
3rd to 5th Grades
Bailey bought a frozen yogurt that costs 42¢ per ounce. If her final bill was $3.57 how many ounces of frozen yogurt did Bailey buy?
6th Grades to Pre-Algebra
A hummingbird flaps its wings 70 times per second. At that rate, how many times can the same hummingbird flap its wings in 1 hour?
Algebra and Up
Find h.
Find h.
Answers
Pre-K to 2nd Grades
Answer: 7 Bagels
A dozen is equal to 12. Heather bought 24 (12 + 12 = 24) bagels. To find how many more bagels Heather bought than Sam find how far away 17 is up to 24, 17 up to 20 is 3, 20 up to 24 is 4. 3 + 4 = 7.
3rd to 5th Grades
Answer: 8.5 Ounces
To find how many ounces you can buy for $3.57 find how many 42¢ or $0.42 fits into $3.57. $3.57 ÷ $0.42 per ounce = 8.5 ounces.
6th Grade to Pre Algebra
Answer: 252,000 Times
One hour has 60 minutes and each min. has 60 seconds. This means that there are 3600 sec. per hr. (60 x 60). The hummingbird flaps it wings 70 times per second, so we find our answer by multiplying 3600 sec. by 70 flaps per sec.: 3600 x 70 = 252,000 times.
Algebra & Up
Answer: h = 24 units
In order to solve for h we need to break the base up into 2 separate parts with unknown lengths. Let the smallest base equal x. The larger base is equal to 42 – x. Using the Pythagorean Theorem we can write two equations with two unknowns and then solve the system simultaneously: a2 + b2 = c2, Eq.1: (42 – x)2 + h2 = 402, Eq.2: x2 + h2 = 262. Expand out the 1st equation: 1764 – 84x + x2 + h2 = 402. Using the 2nd equation we can solve for x2 and x: x2 = 262 – h2, x = √(262 – h2). Plug these values into the expanded equation and simplify: 1764 – 84√(262 – h2) + 262 – h2 + h2 = 402
h = 24 units.
Answer: 7 Bagels
A dozen is equal to 12. Heather bought 24 (12 + 12 = 24) bagels. To find how many more bagels Heather bought than Sam find how far away 17 is up to 24, 17 up to 20 is 3, 20 up to 24 is 4. 3 + 4 = 7.
3rd to 5th Grades
Answer: 8.5 Ounces
To find how many ounces you can buy for $3.57 find how many 42¢ or $0.42 fits into $3.57. $3.57 ÷ $0.42 per ounce = 8.5 ounces.
6th Grade to Pre Algebra
Answer: 252,000 Times
One hour has 60 minutes and each min. has 60 seconds. This means that there are 3600 sec. per hr. (60 x 60). The hummingbird flaps it wings 70 times per second, so we find our answer by multiplying 3600 sec. by 70 flaps per sec.: 3600 x 70 = 252,000 times.
Algebra & Up
Answer: h = 24 units
In order to solve for h we need to break the base up into 2 separate parts with unknown lengths. Let the smallest base equal x. The larger base is equal to 42 – x. Using the Pythagorean Theorem we can write two equations with two unknowns and then solve the system simultaneously: a2 + b2 = c2, Eq.1: (42 – x)2 + h2 = 402, Eq.2: x2 + h2 = 262. Expand out the 1st equation: 1764 – 84x + x2 + h2 = 402. Using the 2nd equation we can solve for x2 and x: x2 = 262 – h2, x = √(262 – h2). Plug these values into the expanded equation and simplify: 1764 – 84√(262 – h2) + 262 – h2 + h2 = 402
h = 24 units.
Pre-K to 2nd Grades
Lori has 2 quarters and 1 nickel. If she needs 87¢ to buy an ice cream cone, what is the least amount of additional coins she will need to have exactly 87¢? Which coins are they?
3rd to 5th Grades
Kyle worked 22 hours for $16.75 an hour. Steven worked 35.5 hours at hours for $10.50 per hour. Who made more money and how much more did he make?
6th Grades to Pre-Algebra
A group of people were surveyed about which flavor of shake they preferred. If a third of the people surveyed prefer vanilla shakes, 47% preferred chocolate shakes, and the rest, 1888 people, preferred strawberry shakes. How many people preferred vanilla shakes? How many preferred chocolate shakes?
Algebra and Up
A certain type of bacteria divides in half every 15 minutes. If you start with 4 bacteria, how large will the colony of bacteria be after 5 hours?
A certain type of bacteria divides in half every 15 minutes. If you start with 4 bacteria, how large will the colony of bacteria be after 5 hours?
Answers
Pre-K to 2nd Grades
Answer: 4 Coins; 1 Quarter, 1 Nickel, 2 Pennies
The value of the coins Lori already has, 2 quarters and 1 nickel, equals 55¢ (25 + 25 + 5). Lori is 32¢ from having 87¢. Subtract the part (55¢) from the whole (87¢). 87¢ – 55¢ = 32¢. To make 32¢ with the least amount of coins use the largest value coins possible without going over. 1 quarter, 1 nickel, and 2 pennies (25 + 5 + 1 + 1) = 4 coins total.
3rd to 5th Grades
Answer: Steven made $4.25 more than Kyle.
After 22 hours at $16.75 per hour, Kyle made $368.50 (16.75 x 22). After 35.5 hours at $10.50 per hour, Steven made $372.75 (10.50 x 35.5). Steven made more money. The difference ($372.75 - $368.50) is $4.25.
6th Grade to Pre Algebra
Answer: Vanilla: 3200 Chocolate: 4512
1/3 of the total people prefer vanilla shakes + 47% of the total people prefer chocolate shakes + 1888 people prefer strawberry shakes = total people surveyed (x). 47% = 47/100. (1/3)x + (47/100)x + 1888 = x. Now solve for x: (241/300)x + 1888 = x, x = 9600.
9600 • 1/3 = 3200 people prefer vanilla shakes
9600 • 0.47 = 4512 people prefer chocolate shakes
Algebra & Up
Answer: 4,194,304 Bacteria
This type of bacteria doubles 4 times per hour. In 5 hours the bacteria will double 20 times (4 x 5). This problem can be represented in exponential form as 220.
Because 210 = 1024, 220 = 210 ● 210 = 1024 ● 1024 = 1,048,576. Because we started with 4 bacteria, in 5 hours the bacteria colony has grown to a size of 4,194,304 (4 ● 1,048,576).
Answer: 4 Coins; 1 Quarter, 1 Nickel, 2 Pennies
The value of the coins Lori already has, 2 quarters and 1 nickel, equals 55¢ (25 + 25 + 5). Lori is 32¢ from having 87¢. Subtract the part (55¢) from the whole (87¢). 87¢ – 55¢ = 32¢. To make 32¢ with the least amount of coins use the largest value coins possible without going over. 1 quarter, 1 nickel, and 2 pennies (25 + 5 + 1 + 1) = 4 coins total.
3rd to 5th Grades
Answer: Steven made $4.25 more than Kyle.
After 22 hours at $16.75 per hour, Kyle made $368.50 (16.75 x 22). After 35.5 hours at $10.50 per hour, Steven made $372.75 (10.50 x 35.5). Steven made more money. The difference ($372.75 - $368.50) is $4.25.
6th Grade to Pre Algebra
Answer: Vanilla: 3200 Chocolate: 4512
1/3 of the total people prefer vanilla shakes + 47% of the total people prefer chocolate shakes + 1888 people prefer strawberry shakes = total people surveyed (x). 47% = 47/100. (1/3)x + (47/100)x + 1888 = x. Now solve for x: (241/300)x + 1888 = x, x = 9600.
9600 • 1/3 = 3200 people prefer vanilla shakes
9600 • 0.47 = 4512 people prefer chocolate shakes
Algebra & Up
Answer: 4,194,304 Bacteria
This type of bacteria doubles 4 times per hour. In 5 hours the bacteria will double 20 times (4 x 5). This problem can be represented in exponential form as 220.
Because 210 = 1024, 220 = 210 ● 210 = 1024 ● 1024 = 1,048,576. Because we started with 4 bacteria, in 5 hours the bacteria colony has grown to a size of 4,194,304 (4 ● 1,048,576).
Pre-K to 2nd Grades
Brittany is flying back home to California from Minnesota and the flight will take three and a half hours. If Brittany’s flight leaves at 11:25am, what time will she arrive in California?
3rd to 5th Grades
Andrew has 6 friends over and each wanted a third of a pizza. How many pizzas does Andrew need in order to feed himself and his friends?
6th Grades to Pre-Algebra
Adam needs to mow the front and back of his yard. It takes him 20 minutes to mow his 2000 square foot backyard. At that rate, how long would it take for him to mow his frontyard if it has a width of 40 feet and a length of 120 feet?
Algebra and Up
Find the area of the shaded region. Assume the shaded figure intersects the sides of the square at its midpoints.
Find the area of the shaded region. Assume the shaded figure intersects the sides of the square at its midpoints.
Answers
Pre-K to 2nd Grades
Answer: 2:55pm
3 and a half hours is equal to 3 hours and half of 60 minutes = 30 minutes. 3 hours from 11:25am is 2:25pm. 30 minutes from 2:25pm is 2:55pm.
3rd to 5th Grades
Answer: 3 Pizzas
Including Andrew, there are 7 people eating pizza. If each person were to have a third of a pizza it would add up to 7/3 pizzas or 2 1/3 Pizza. Because you can’t order 1/3 of a pizza Andrew would need to order 3.
6th Grade to Pre Algebra
Answer: 48 Minutes
Find the area of the frontyard: 40ft x 120ft = 4800ft2. Divide 4800ft2 by 2000ft2 to find out how many backyards fit in the frontyard: 4800ft2 ÷ 2000ft2 = 2.4. This means it will take Adam the same amount of time to mow the frontyard as it does to mow 2.4 backyards. 2.4 x 20 min = 48 min. This problem can also be solved using rates. Rate = Area ÷ Time. Adam will mow both yards at the same rate. For the backyard: rate = 2000ft2 ÷ 20 min = 100ft2/min. Using this rate for the frontyard: 100ft2/min = 4800ft2 ÷ time, time = 48min.
Algebra & Up
Answer: 0.5 m2
Cut the square in half horizontally and vertically to brake the shaded region into 2 quarter circles and 2 other figures. Combine the quarter circles with the other figures to make 2 squares with sides 0.5m. From the pictures below we can see that the shaded area is equal to half of the whole square. The area of the square is 1m x 1m = 1m2. Half of 1m2 is 0.5m2.
.png)
Answer: 2:55pm
3 and a half hours is equal to 3 hours and half of 60 minutes = 30 minutes. 3 hours from 11:25am is 2:25pm. 30 minutes from 2:25pm is 2:55pm.
3rd to 5th Grades
Answer: 3 Pizzas
Including Andrew, there are 7 people eating pizza. If each person were to have a third of a pizza it would add up to 7/3 pizzas or 2 1/3 Pizza. Because you can’t order 1/3 of a pizza Andrew would need to order 3.
6th Grade to Pre Algebra
Answer: 48 Minutes
Find the area of the frontyard: 40ft x 120ft = 4800ft2. Divide 4800ft2 by 2000ft2 to find out how many backyards fit in the frontyard: 4800ft2 ÷ 2000ft2 = 2.4. This means it will take Adam the same amount of time to mow the frontyard as it does to mow 2.4 backyards. 2.4 x 20 min = 48 min. This problem can also be solved using rates. Rate = Area ÷ Time. Adam will mow both yards at the same rate. For the backyard: rate = 2000ft2 ÷ 20 min = 100ft2/min. Using this rate for the frontyard: 100ft2/min = 4800ft2 ÷ time, time = 48min.
Algebra & Up
Answer: 0.5 m2
Cut the square in half horizontally and vertically to brake the shaded region into 2 quarter circles and 2 other figures. Combine the quarter circles with the other figures to make 2 squares with sides 0.5m. From the pictures below we can see that the shaded area is equal to half of the whole square. The area of the square is 1m x 1m = 1m2. Half of 1m2 is 0.5m2.
.jpg){kind=small}
