Grade 6 Math Test is a free online practice test with 15 questions on ratios, percents, integers, equations, area, mean and median, exponents, factors and multiples, rates and decimals. The questions cover ratios, percents, integers, one-step equations, area, mean and median, and exponents. 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 25 minutes.
This test needs JavaScript. The questions and the answer key are also listed further down the page.
Grade 6 Math Test
Name: ______________________ Date: ______________
The ratio of boys to girls in a club is 3 to 5. There are 15 boys. How many girls are in the club?
Answer: ______________
What is 20% of 85?
Answer: ______________
What is −8 + 15?
Answer: ______________
What is −6 × −7?
Answer: ______________
Solve for x: x + 9 = 23.
Answer: ______________
Solve for x: 4x = 52.
Answer: ______________
What is the area of a triangle with a base of 10 cm and a height of 7 cm, in square centimeters?
Answer: ______________
What is the mean of 8, 12, 15, 9 and 6?
Answer: ______________
What is 3⁴?
Answer: ______________
What is the median of 3, 7, 9, 12 and 15?
A. 7 B. 9 C. 12 D. 9.2
What is the greatest common factor of 24 and 36?
Answer: ______________
What is the least common multiple of 6 and 8?
Answer: ______________
A car travels 150 miles in 3 hours at a steady speed. How many miles per hour is that?
Answer: ______________
A shirt costs $40 and is 15% off. What is the sale price in dollars?
Answer: ______________
Write 3/8 as a decimal.
Answer: ______________
Answer key: Grade 6 Math Test
- 25
- 17
- 7
- 42
- 14
- 13
- 35
- 10
- 81
- 9
- 12
- 24
- 50
- 34
- 0.375
What this test covers
- Ratios (1 question)
- Percents (2 questions)
- Integers (2 questions)
- Equations (2 questions)
- Area (1 question)
- Mean and median (2 questions)
- Exponents (1 question)
- Factors and multiples (2 questions)
- Rates (1 question)
- Decimals (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
- The ratio of boys to girls in a club is 3 to 5. There are 15 boys. How many girls are in the club?
- What is 20% of 85?
- What is −8 + 15?
- What is −6 × −7?
- Solve for x: x + 9 = 23.
- Solve for x: 4x = 52.
- What is the area of a triangle with a base of 10 cm and a height of 7 cm, in square centimeters?
- What is the mean of 8, 12, 15, 9 and 6?
- What is 3⁴?
- What is the median of 3, 7, 9, 12 and 15? (A. 7; B. 9; C. 12; D. 9.2)
- What is the greatest common factor of 24 and 36?
- What is the least common multiple of 6 and 8?
- A car travels 150 miles in 3 hours at a steady speed. How many miles per hour is that?
- A shirt costs $40 and is 15% off. What is the sale price in dollars?
- Write 3/8 as a decimal.
Answers and explanations
| Question | Answer | Explanation |
|---|---|---|
| 1 | 25 | 15 is 5 times 3, so multiply 5 by 5 to get 25 girls. |
| 2 | 17 | 10% of 85 is 8.5, so 20% is 17. |
| 3 | 7 | Start at −8 and move 15 to the right: the result is 7. |
| 4 | 42 | A negative number times a negative number is positive: 6 × 7 = 42. |
| 5 | 14 | Subtract 9 from both sides: x = 14. |
| 6 | 13 | Divide both sides by 4: x = 13. |
| 7 | 35 | Area = base × height ÷ 2 = 10 × 7 ÷ 2 = 35. |
| 8 | 10 | The sum is 50 and there are 5 numbers. 50 ÷ 5 = 10. |
| 9 | 81 | 3 × 3 × 3 × 3 = 81. |
| 10 | 9 | The median is the middle number when the values are in order. The middle of five numbers is the third, which is 9. |
| 11 | 12 | The largest number that divides both 24 and 36 is 12. |
| 12 | 24 | Multiples of 8 are 8, 16 and 24. 24 is also a multiple of 6. |
| 13 | 50 | 150 ÷ 3 = 50 miles per hour. |
| 14 | 34 | 15% of 40 is 6. 40 − 6 = 34. |
| 15 | 0.375 | 3 ÷ 8 = 0.375. |
Tips for Grade 6 math
- For ratio problems, find the multiplier first, such as 15 is 3 times 5, then apply it to the other part.
- Check an equation by putting your answer back in place of x.
- For percents, find 10% first by moving the decimal point, then build up from there.
Frequently asked questions
How many questions are on this test?
There are 15 questions. Most students need about 25 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.