5th Grade Math Test
Print your 5th grade math test before you start. Try to answer all the questions.
On this page, you will learn
- How well you know the main 5th grade skills: equations, integers, decimals, fractions, probability, measurement, geometry and data
- How to add two fractions with different denominators
- Which skills you have mastered and which ones need more practice
Before You Start: Adding Fractions, a Worked Example
This example is not part of the test. It shows how to work through a problem step by step, so you are ready for the questions below.
- Find a common denominator. The smallest number that both 4 and 6 divide into is 12.
- Rewrite each fraction: 34 = 912 and 16 = 212.
- Add the numerators and keep the denominator: 912 + 212 = 1112.
- Check that the answer is in lowest terms: 11 and 12 share no common factor, so it is.
34 + 16 = 1112
Adding the tops and the bottoms: 34 + 16 is not 410. First give both fractions the same denominator, then add only the numerators.
Add 12 and 13.
Show answer
56. With the common denominator 6: 36 + 26 = 56.
Problems 1–10: Equations, Integers, Decimals, Probability and Fractions
Name Date:
Solve the following problems
1. In the equation below, what is the value of ?
(2 + 4) × 5 = ? + 20
2. Darline has a special purse that can hold 20 lipsticks. How many purses does Darline need if she has 420 lipsticks?
A. 20B. 22C. 23D. 21
3. Represent the following situations with integers. Then put them in order
A loss of 12 dollars
5 feet above sea level
A debit of 20 dollars
A gain of 50 dollars
, , ,
4. Get a CD. Put your finger on the edge. Move your finger around the edge until your finger reaches the same location you had it before moving it.
Your finger measured the of the CD
A. AreaB. CircumferenceC. VolumeD. Surface area
5. Debbie studies for 5 hours, John studies for 6 hours, and Ashley studies for 10 hours. What is the average number of hours the 3 students study?
A. 7B. 8C. 21D. 5
6.
−5 + 8 =
5 + (−8) =
−5 + (−8) =
5 + 8 =
7. Compare the following two decimals. Use either <, >, or =
564.1540791 564.1540789
8. Find the perimeter and area of the rectangle below:
Perimeter = units
Area = square units
9. Get a quarter and toss it.
The different outcomes are
Write the probability of getting heads as a fraction
Write the probability of getting heads as a percent
Write the probability of getting heads as a decimal
10. Add 23 and 56
Problems 11–20: Division, Patterns, Measurement, Geometry and Data
11. Write the answer for number 10 as a mixed number
Write the answer for number 10 in lowest terms
12. Divide 7845 by 15
13. An ice cream place offers vanilla, rum raisin, chocolate, and peanut butter as flavors. They have sugar cone, cake cone, and chocolate-coated cone.
Make a tree in the space below showing the different combinations of ice cream and cone you can order.
How many orders can you place?
A. 7B. 4C. 12D. 3
14. To find the number on the right, you need to
| 2 | 11 |
| 4 | 19 |
| 7 | 31 |
| 12 | 51 |
A. Multiply the number on the left by 5 and then add 1B. Multiply the number on the left by 5 and then subtract 1C. Multiply the number on the left by 4 and then add 3D. Multiply the number on the left by 3 and then add 10
15. Which of these units is the best to measure the length of a book?
A. MillimeterB. CentimeterC. KilometerD. Meter
16. Replace the question mark with the missing number
64837 − ? = 63936
54 + ? = 25 + 36
17. Two sides of an isosceles triangle measure 6 and 10. The perimeter of the triangle could be
A. 26 or 21B. 12 or 20C. 22 or 23D. 26 or 22
18. What information could you find with the following situation?
Noemy bought a box of apples for $4.20. She now has $2.35 in her purse.
A. Noemy's allowance every monthB. How much the apples costC. How much money Noemy had before buying the applesD. How many apples are there in the box
19. Examine the graph below and then choose the correct answer
A. Computers will cost 50 dollars in 2020B. Computer cost has decreased by more than 2000 dollarsC. Compared to 1970, computers cost half as much in 2010D. In 2030, the price of computers may disappear. Great!
20. You want to share 1000 dollars between you and 5 friends.
Can you share the money evenly?
What is the maximum amount that can be shared evenly?
If they share the leftover too, write what each person gets as a fraction.
Things to Keep in Mind About This 5th Grade Math Test
A score of 16 or more on this 5th grade math test is a good indication that most skills taught in 5th grade were mastered.
If you struggled a lot on this 5th grade math test, get someone to help you.
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Summary
- This test checks the main 5th grade skills: equations, integers, decimals, fractions, probability, measurement, geometry and reading graphs.
- To add fractions with different denominators, write them with a common denominator first, then add the numerators.
- Show your work for each problem, and give fraction answers in lowest terms.
- A score of 16 or more out of 20 shows that most 5th grade skills are mastered.
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