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Get Your Free 5th Grade Maths Test And Many More Free Downloadable 5th Grade Quizzes

Fed up with the same old 5th grade math tests? Here we’ve got a different kind of 5th grade test for you – one that covers just 5th grade topics that are often needing the most practice.

About the 5th grade math test

The most recent addition to our free math resources is this 5th grade math test based on Common Core State Standards for 5th grade.

The 25 questions test children on a number of content domains and also a variety of math skills. Answer sheets are provided and while this isn’t an actual diagnostic assessment, it will give you and your students a chance to see where they need to improve.

There are 8 arithmetic and 17 reasoning questions. We’ve included a mix of 1, 2 and 3 point questions so students can receive points for using the correct method even if they get the answer incorrect.  This will help encourage children to show all their work.

Showing work is an important skill for students to learn. Third Space Learning’s online, one-to-one math tuition programs encourage students to practice showing their problem solving methods.

5th grade maths lesson slide
Example of a lesson slide from a Third Space Learning 5th grade online tuition program

How to use this 5th grade math test

This test is useful for assessing your students’ understanding of the 5th grade math curriculum and identifying any knowledge gaps they may still have. This test focuses on only 5th grade content.

We would recommend using this test towards the end of the school year, once children have been exposed to most of the 5th grade content, but with still sufficient time to work on any areas highlighted as being a weakness for any individuals or groups of students.

Consider how you will use the outcomes of the test and how you might share feedback with your students. You may wish to provide individual comments and targets or opt for whole class feedback.

25 question 5th grade math test (with answers)

1. Compare the decimals by writing <, > or = in the box.

  8.397 ⬜ 8.41

Answer:  8.397 < 8.41

1 point 

2. Write the following number in expanded form: 


Answer: (4 × 10) + (2 × 1) + (3 × 0.1) + (4 × 0.001)

1 point 

3. 7936 × 76

Answer: 603,136

2 points

2 points for the correct answer, 1 point for the correct method, but an incorrect answer

standard algorithm workings

4. 6834 ÷ 58

Answer: 117 r48

2 points

2 points for the correct answer, 1 point for the correct method, but an incorrect answer

standard algorithm workings

5. \frac{1}{4} x 24 = 

Answer: 6

1 point 

6. \frac{2}{5}✕\frac{3}{4}

Answer: \frac{6}{20}=\frac{3}{5}

1 point 

7. 17.36 × 1000

Answer: 17,360

1 point 

8. \frac{3}{7} of 84

Answer: 36

1 point 

9. Round 76,385 to the nearest:





Answer: Rounded to 10: 76,390, Rounded to 100: 76,400, Rounded to 1,000: 76,000, Rounded to 10,000: 80,000

2 points for all correct

1 point for 2 or 3 correct

10. Write the following capacities in order from smallest to largest:

2.673l, 2.635l, 2.605l, 2.61l

Answer: 2.605l, 2.61l, 2.635l, 2.673l

1 point 

11. Sort the following numbers into the correct place in the Venn Diagram.


Venn diagram question


venn diagram answer

2 points for all correct, 1 point for 3 or 4 correct.

12. Sophia buys 6 cupcakes and a cookie and pays $2.05 altogether.

Ahmed buys 3 cupcakes and pays 90cents altogether. How much does one cookie cost?

Answer: 25cents

3 cupcakes cost 90cents

6 cupcakes cost 90cents × 2 = $1.80.

$2.05 – $1.80 = $0.25 or 25cents


$2.05 – $0.90 = $1.15

$1.15 – $0.90 = $0.25 or 25cents

2 points for correct answer of 25cents or $0.25. 1 point for the correct method, but incorrect answer.

13. Order the following fractions from smallest to largest: 2\frac{7}{12}, 2 \frac{3}{4}, 2 \frac{5}{6}, 2 \frac{2}{3}

Answer: 2\frac{7}{12}, 2 \frac{2}{3}, 2 \frac{3}{4}, 2 \frac{5}{6}

​1 point 

14. Each number in the multiplication wall is made by multiplying the numbers in the 2 boxes directly below. Fill in the missing boxes:

multiplication boxes


multiplication box answer

2 points if all boxes are completed correctly.

1 point if 2 or 3 boxes are completed correctly.

15. Arlo chose a number. He multiplied the number by 8. Then he subtracted 47. His answer was 1049. What was his original number?

Answer: 137

2 points for the correct answer of 137.

1 point for correct method, but incorrect answer:

1049 + 47 = 1096 1096 ÷ 8 = 137

16. Which expressions shows “two times the sum of eight and three”?

  • 2 × 8 + 3
  • 2 + 8 + 3
  • 2 × (8 + 3)
  • 2 × 11 


2 × (8 + 3)

1 point 

17. Write the following improper fractions as mixed numbers. Write the answer in its simplest form:






\frac{34}{12} = 2\frac{10}{12} = 2\frac{5}{6}

\frac{17}{8} = 2\frac{1}{8}

\frac{35}{11} = 3\frac{2}{11}

\frac{19}{7} = 2\frac{5}{7}

2 points for all correct

1 point for 2 or 3 correct

18. a) Jamal flew 3243.7 miles from London to Doha. He then flew an additional 431.6 miles to Dubai. How far did he fly in total?

b) He then flew on to Sri Lanka, making his journey a total of 5737 miles. How far was the journey from Dubai to Sri Lanka?

Answer: a) 3675.3miles b) 2061.7 miles

2 points for both correct, 1 point for 1 correct.

19. Amber had a bag containing 360 jelly beans. She gave \frac{4}{9} of the jelly beans to her friend, Erin . How many did she have left?

Answers: 200 jelly beans

2 points for the correct answer: 200 jelly beans.

1 point for the correct method, but incorrect answer:

\frac{1}{9} of 360 = 40

\frac{4}{9} of 360 = 160

Therefore Amber has 200 jelly beans left.


\frac{5}{9} of 360 = 200 jelly beans

20. A class of 28 pupils go on a school trip to Alton Towers. The total price for their tickets is £504. How much does it cost per child?

Answer: £18

2 points for the correct answer of £18.

1 point for the correct method, but incorrect answer:

subtraction workings and answer

21. Mark has 3 candy bars. He wants to split them between himself and 7 friends. What fraction of a candy bar will each person get?

Answer: \frac{3}{8}

1 point 

22. Write one symbol in each box, to make the following statements correct:

fraction question

Answer: \frac{2}{5} < 0.5 , 0.74 > \frac{14}{25}

1 point 

23. The town of Sedona has 90 elementary schools and the town of Georgetown has 45 elementary schools. Schools in the US have an average of 281 students. Approximately how many students are there in Stockport and Portsmouth altogether?

Answer: 37,935.

3 points for the correct answer of 37,935.

2 points if evidence of the correct method, with only 1 calculation error.

1 point if evidence of appropriate method, with more than 1 calculation error.

answers with workings

24. Chloe has a bag of vegetables that weighs 1.15kg. She takes out some peppers. The bag now weighs 870g. How much did the peppers weigh?

Answer: 280g

2 points for the correct answer: 280g

1 point for the correct method, but the incorrect answer.

subtraction workings

25. Apples cost $1.20 per kg. Bananas cost $1.45 per kg. Abdullah buys 1\frac{1}{2}kg of apples and 2kg of bananas. How much change does he get from $10?

Answer: $5.30

2 marks for the correct answer: $5.30

1 mark for the correct method but incorrect answer.

Other resources for 5th grade

It’s worth taking a minute to find out what other free resources we have available for 5th Grade and upper elementary. 

5th grade math worksheets

If you are just looking for more general math assessments and worksheets for 5th grade we’ve got several more sets of math questions for you here including 100 reasoning questions, 100 arithmetic questions and lots of 5th Grade math worksheets by topic.

5th Grade math questions

Most elementary schools we talk to tell us that it’s reasoning and problem solving skills that children tend to struggle most with in upper elementary. While you’ll find several examples of math word problems and multi-step problems on this site, our blog of 35 reasoning questions and answers with worked examples is probably the best collection of practice questions of the sort you’ll find in the reasoning papers here.

More Math Tests

As well as this 5th grade math test and other 5th grade math resources, if you are looking for middle and high school resources, you can also use our extensive middle and high school resource library where you’ll find other math tests more focused towards middle school teaching.

5th grade math FAQs

What math concepts are taught in 5th grade?

Many of the concepts children cover in 5th grade are a progression on topics taught throughout lower grades. There are some concepts children are introduced to in 5th grade, for the first time

∙Long division, dividing by 2-digit numbers
∙Order of operations
∙Multiplication and division of fractions
∙Addition, subtraction, multiplication, and division of decimals
∙Converting between units of measurement
∙Area of rectangles

Do you have students who need extra support in math?
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Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way.

Personalized one-on-one math tutoring programs are available for:
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5th grade
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Why not learn more about how it works?

The content in this article was originally written by primary school assistant headteacher Emma Johnson and has since been revised and adapted for US schools by math curriculum specialist and former elementary math teacher Katie Keeton.

Emma Johnson
Emma Johnson
Assistant Headteacher
Emma is a former Deputy Head Teacher, with 12 years' experience leading primary maths. Over the past 18 years, she has worked in primary schools in the UK and internationally, in Qatar. She now runs a tutoring company and writes resources and blogs for Third Space Learning, She is also the creator of the YouTube channel Maths4Kids with her daughter, Amber.

[FREE] Fun Math Games & Activities Packs

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