5th-grade Math Mixed Review

Richard walked 15.74 miles and James walked 12.98 miles. How many more miles did Richard walk than James?

• 2.76

• 2.86

• 3.76

• 3.86

Answer explanation

You need to subtract 12.98 from 15.74. Be sure to line up your place values so that the decimals are aligned. And watch your regrouping.

After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?

• 1/8

• 1/3

• 3/8

• 8/3

Answer explanation

You need to ask what is being divided and then how is it being divided. In this problem, the water is being divided by the players. So 3 bottles divided by 8 players is written 3/8. It's already reduced to its simplest form, so you don't need to do anything else.

A sports store has 468 golf balls. They will be put into boxes that hold 18 balls each. What is the minimum number of boxes needed for all of the golf balls?

• 26

• 27

• 28

• 29

Answer explanation

This is obviously a division problem. All of the answers have 20 as the first number of boxes to divide the golf balls. 20 boxes x 18 golf balls is 360 golf balls. This leaves 108 golf balls to divide. If you start with the small amount in the choice, 6, and multiply that time 18 you will get the 108 golf balls and won't have to try anymore as there is no remaining golf balls to divide.

Mia wants to buy 3 notebooks for $1.29 each. Which expression shows how to find the total cost?

• 3 - $1.29

• 3 + $1.29

• 3 x $1.29

Answer explanation

1 notebook is $1.29. Since you could do repeated addition of $1.29 three time, it would mean that you are multiplying.

A rope that is 6 meters long will be cut into 24 pieces that are all of the same length. What will be the length of each piece, in centimeters?

(Note: 100 centimeters = 1 meter)

Answer explanation

The question is asking how many centimeters it would be, so you need to convert the 6 meters to centimeters, which is 600. Then you will divide by 24 pieces of string. 24 x 20 = 480. There will be 120 centimeters of string left to divide. 24 x 5 is 120, so there will be no left over string.

The length of a shoe is 25 centimeters. How long is the shoe in meters?

(Note: 1 meter = 100 centimeters)

• 0.25

• 2.5

• 25

• 250

Answer explanation

We are converting cm to m, so small unit to large unit which means we divide by 100.

Alyssa walked 1.34 fewer miles than Emily. Alyssa walked 2.56 miles. How many miles did Emily walk?

• 1.22

• 1.42

• 3.8

• 3.9

Answer explanation

You are finding the difference in the distances they walked. You have to line up your place values and then be careful with the regrouping to get the correct answer.

How many feet are in 2,241 inches?

(Note: 1 foot = 12 inches)

• 62.25

• 186.75

• 189.25

• 747.00

Answer explanation

You are converting inches (smaller unit) to feet (larger unit) so you need to divide by 12. 100 x 12 = 1200, so 60 and 700 don't seem reasonable. After you subtract the 1200 from 2241, you're left with 1041. Both remaining answers have 80, so multiply 12 x 80 and get 960. 1041-960 = 81. We can't choose the answer with 9 because 9 x 12 = 108 which is more than 81. That leaves us with only 1 answer.

What is the standard form for 6 x 100 + 2 + 4 x (1/100) + 9 x (1/1000)?

Answer explanation

There are no tens or tenths in this expanded form.

A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?

• 22 5/6

• 120 1/6

• 120 1/3

• 129 1/6

Answer explanation

This is a fairly easy problem to solve using estimation and answer elimination. We know 12 x 10 = 120, so it definitely cannot be 22. Also, it can't be an answer with 120, because you still have three more multiplication problems to solve and then add to the 120. This only leaves 129 1/6 as a choice.