Grade 5 Math Test is a free online practice test with 15 questions on fractions, decimals, order of operations, volume, place value, word problems, rounding, prime numbers and decimals and fractions. The questions cover fractions, decimals, order of operations, volume, prime numbers and word problems. The test scores itself, and it shows the correct answer and an explanation for every question you miss.
Take it in test mode to see your score and answers at the end, or in practice mode to check each answer straight away. A printable version and an answer key are included, and the test takes about 22 minutes.
This test needs JavaScript. The questions and the answer key are also listed further down the page.
Grade 5 Math Test
Name: ______________________ Date: ______________
What is 3/4 + 1/8? Write your answer as a fraction.
Answer: ______________
What is 5/6 − 1/3? Write your answer as a fraction in simplest form.
Answer: ______________
What is 3.6 × 2.5?
Answer: ______________
What is 7.2 ÷ 0.4?
Answer: ______________
What is 12.75 + 8.6?
Answer: ______________
What is 25 − 4 × 3 + 2?
Answer: ______________
What is (18 + 6) ÷ 4?
Answer: ______________
A box is 5 cm long, 4 cm wide and 3 cm tall. What is its volume in cubic centimeters?
Answer: ______________
What is 2/3 × 9?
Answer: ______________
In the number 3.752, what is the value of the digit 5?
A. 5 tenths B. 5 hundredths C. 5 thousandths D. 5 ones
A recipe uses 3/4 cup of sugar. How many cups of sugar are needed for 3 batches? You can answer as a fraction or a decimal.
Answer: ______________
A bike costs $120. It is on sale for 1/4 off. What is the sale price in dollars?
Answer: ______________
Round 4.867 to the nearest hundredth.
Answer: ______________
Which number is prime?
A. 21 B. 27 C. 29 D. 33
Write 0.6 as a fraction in simplest form.
Answer: ______________
Answer key: Grade 5 Math Test
- 7/8
- 1/2
- 9
- 18
- 21.35
- 15
- 6
- 60
- 6
- 5 hundredths
- 9/4 or 2.25
- 90
- 4.87
- 29
- 3/5
What this test covers
- Fractions (3 questions)
- Decimals (3 questions)
- Order of operations (2 questions)
- Volume (1 question)
- Place value (1 question)
- Word problems (2 questions)
- Rounding (1 question)
- Prime numbers (1 question)
- Decimals and fractions (1 question)
How the test works
Test mode and practice mode
In test mode you answer every question first and see your score, the time you took and the answers at the end. In practice mode you press Check after each answer to see right away whether it is correct, with the explanation.
How answers are scored
For questions with a number as the answer, you can type a whole number, a decimal such as 2.5, or a fraction such as 3/4. A fraction and its decimal value count as the same answer. Multiple choice questions have one correct choice.
Printing the test and the answer key
Use Print the test for a paper copy with a space for each answer, and Print the answer key for the matching answers. Both print without the rest of the page.
Questions and answer key
The questions
- What is 3/4 + 1/8? Write your answer as a fraction.
- What is 5/6 − 1/3? Write your answer as a fraction in simplest form.
- What is 3.6 × 2.5?
- What is 7.2 ÷ 0.4?
- What is 12.75 + 8.6?
- What is 25 − 4 × 3 + 2?
- What is (18 + 6) ÷ 4?
- A box is 5 cm long, 4 cm wide and 3 cm tall. What is its volume in cubic centimeters?
- What is 2/3 × 9?
- In the number 3.752, what is the value of the digit 5? (A. 5 tenths; B. 5 hundredths; C. 5 thousandths; D. 5 ones)
- A recipe uses 3/4 cup of sugar. How many cups of sugar are needed for 3 batches? You can answer as a fraction or a decimal.
- A bike costs $120. It is on sale for 1/4 off. What is the sale price in dollars?
- Round 4.867 to the nearest hundredth.
- Which number is prime? (A. 21; B. 27; C. 29; D. 33)
- Write 0.6 as a fraction in simplest form.
Answers and explanations
| Question | Answer | Explanation |
|---|---|---|
| 1 | 7/8 | 3/4 is 6/8, and 6/8 + 1/8 = 7/8. |
| 2 | 1/2 | 1/3 is 2/6. 5/6 − 2/6 = 3/6, which simplifies to 1/2. |
| 3 | 9 | 36 × 25 = 900. There are two decimal places in the question, so the answer is 9.00, or 9. |
| 4 | 18 | Multiply both numbers by 10: 72 ÷ 4 = 18. |
| 5 | 21.35 | Line up the decimal points: 12.75 + 8.60 = 21.35. |
| 6 | 15 | Multiply first: 4 × 3 = 12. Then 25 − 12 + 2 = 15. |
| 7 | 6 | Work the brackets first: 18 + 6 = 24. Then 24 ÷ 4 = 6. |
| 8 | 60 | Volume = length × width × height = 5 × 4 × 3 = 60. |
| 9 | 6 | One third of 9 is 3, so two thirds is 6. |
| 10 | 5 hundredths | After the decimal point the places are tenths (7), hundredths (5) and thousandths (2). |
| 11 | 9/4 or 2.25 | 3 × 3/4 = 9/4, which is 2 1/4 or 2.25 cups. |
| 12 | 90 | 1/4 of 120 is 30. 120 − 30 = 90. |
| 13 | 4.87 | The thousandths digit is 7, so round the hundredths digit up from 6 to 7. |
| 14 | 29 | 21 = 3 × 7, 27 = 3 × 9 and 33 = 3 × 11. 29 has no factors other than 1 and itself. |
| 15 | 3/5 | 0.6 is 6/10, which simplifies to 3/5. |
Tips for Grade 5 math
- Find a common denominator before adding or subtracting fractions with different bottom numbers.
- Line up decimal points when you add or subtract decimals, and count decimal places when you multiply.
- Work brackets first, then multiplication and division, then addition and subtraction.
Frequently asked questions
How many questions are on this test?
There are 15 questions. Most students need about 22 minutes, but there is no time limit.
Can I print this test?
Yes. Use the Print the test button for the questions and Print the answer key for the answers. The full question list and answer key are also on this page.
Does the test show the answers?
Yes. At the end you see the correct answer and an explanation for every question, and in practice mode you see them after each question.
Do I need an account?
No. There is no sign-up. Your best score is kept only in your own browser.
What should I do if I miss questions?
Look at the skills table on your result page, read the explanations for the questions you missed, and take the test again. If a step in your working looks wrong, the answer checker on this site can help you find the slip.