Lower Elementary:
Question: Tim spent 30 minutes doing his evening workout. Afterwards, he spent 15 minutes taking a shower and getting ready for bed. He spent 20 minutes reading a book before he fell asleep. How long did Tim’s activities take?
Answer: 1 hour and 5 minutes
Solution: To find the total time of Tim’s activities, add the times together. 30 + 15 + 20 = 45 + 20 = 65. There are 60 minutes in an hour, so it took Tim 1 hour and 5 minutes to do his activities.
Upper Elementary:
Question: Molly has 58 photos. She is going to put an equal number of photos on each page of a 6 page photo album. The photos that are not put in the album are put up on the refrigerator. How many photos are put on the refrigerator?
Answer: 4 photos
Solution: Since an equal number of photos are put on each page of the 6-page album, we divide 58 by 6. 58 ÷ 6 = 9 remainder 4. Since there will be 4 pictures that cannot be put in the photo album, those photos will go on the refrigerator.
Middle School:
Question: The ratio of green grapes to purple grapes in a bowl is 2 to 5. If there are 45 purple grapes, how many total grapes are in the bowl?
Answer: 63 grapes
Solution: One way to solve this problem is to find the number of green grapes and add that to the number of purple grapes. The ratio of green to purple grapes is 2 to 5. There are 45 purple grapes. Since 5 × 9 = 45, if we multiply 2 by 9 we will have the number of green grapes in the bowl. 2 × 9 = 18. There are 18 green grapes and 45 purple grapes. So there is a total of 63 grapes in the bowl.
Algebra and Up:
Question: What is the equation of a line that goes through the points (2, –2) and (0, 4)?
Answer: y = –3x + 4
Solution: First we need to find the slope of the line. The slope of the line between two points can be found by finding the change in y and divide it by the change in x. [4 – (–2)]/(0 – 2) = 6 / –2 = –3. The slope of the line is –3. We are given that the y-intercept is 4. So, the equation of the line that goes through the point (2, –2) and (0, 4) is y = –3x + 4.
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