**Lower Elementary:**

*Question: *At an arcade, Fiora earned 13 tickets. Cody earned twice as many tickets as Fiora. Manny earned twice as many as Cody. How many tickets did Manny earn?

*Answer: *52 tickets

*Solution: *Cody earned twice as many tickets as Fiora and she earned 13 tickets. 13 doubled = 10 doubled + 3 doubled = 20 + 6 = 26. Cody earned 26 tickets. Manny earned twice as many tickets as Cody. 26 doubled = 20 doubled + 6 doubled = 40 + 12 = 52. Cody earned 52 tickets.

**Upper Elementary:**

*Question: *Penelope is packing her toys into boxes. She has 60 toys. She has 4 small boxes and 2 large boxes. She puts 8 toys into each of the small boxes. If she wants to divide them evenly, how many toys go in one large box?

*Answer: *14 toys

*Solution: *First, let’s find how many toys are put in all of the small boxes. There are 8 toys per small box and there are 4 small boxes. 8 × 4 = 32. There are 32 total toys in all of the small boxes. She has 60 toys, so that means she has 60 – 32 = 28 toys to put in the large boxes. She has 2 large boxes, so that means that 28 ÷ 2 = 14 toys are put in each large box.

**Middle School:**

*Question: *A computer program takes a number that the user inputs and then performs the following operation to it: n + (n – 5)^{2} × 3 where n is the number that was inputted. The answer is then displayed on screen. If a user enters the number 16 into the program, what number will display on screen?

*Answer: *379

*Solution: *Because the user inputted the number 16, the program will compute 16 + (16 –5)^{2} × 3. Going in PEMDAS order, first we do what is in the parenthesis.

16 + (11)^{2} × 3

Next we compute the exponent.

16 + 121 × 3

Then we do multiplication and division.

16 + 363

Finally, we do the addition and subtraction.

379.

The number that will display on screen 379.

**Algebra and Up:**

*Question: *Paul is making a snowman. He rolls a big snowball for the body and a smaller snowball for the head. The radius of the body is 3 feet and the diameter of the head is 2 feet. What is the volume of snow that Paul used to make the snowman?

*Answer: *37 1/3π cubic feet, or 112/3π cubic feet

*Solution: *The volume of a sphere is 4/3πr^{3} where r is the radius. The volume of the body is 4/3π(3)^{3} = 4/3π(27) = 36π cubic feet. The diameter of the head is 2 feet, which means the radius is 1 foot. So, the volume of the head is 4/3π(1)^{3} = 4/3π(1) = 4/3π cubic feet. That means that the total volume of the snowman is 36π + 4/3π = 37 1/3π = 112/3π cubic feet.