Year 7 Maths Test is a free online practice test with 15 questions on negative numbers, algebra, sequences, fractions, percentages, ratio, angles, area, probability, averages and factors. The questions use negative numbers, simple algebra, sequences, fractions, percentage change, ratio, angles, area, probability and averages. 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 28 minutes.
This test needs JavaScript. The questions and the answer key are also listed further down the page.
Year 7 Maths Test
Name: ______________________ Date: ______________
What is −7 − (−12)?
Answer: ______________
What is −3 × 8 ÷ 4?
Answer: ______________
Find the value of 5n + 2 when n = 6.
Answer: ______________
Solve for x: 3(x + 4) = 27.
Answer: ______________
The nth term of a sequence is 4n + 1. What is the 10th term?
Answer: ______________
The sequence 7, 11, 15, 19 carries on in the same way. What is the 8th term?
Answer: ______________
What is 2/3 + 3/4? Write your answer as an improper fraction.
Answer: ______________
Increase £80 by 15%. What is the new amount in pounds?
Answer: ______________
Share £150 in the ratio 2 : 3. How many pounds is the larger share?
Answer: ______________
The angles in a triangle are x, 2x and 3x degrees. What is the value of x?
Answer: ______________
What is the area of a triangle with base 14 cm and height 9 cm, in cm²?
Answer: ______________
What is the area of a trapezium with parallel sides 6 cm and 10 cm and a height of 5 cm, in cm²?
Answer: ______________
A bag has 3 red, 5 blue and 2 green counters. What is the probability of picking a blue counter? Write a fraction in simplest form.
Answer: ______________
The mean of five numbers is 8. Four of the numbers are 5, 7, 9 and 12. What is the fifth number?
Answer: ______________
What is the highest common factor of 18 and 30?
A. 3 B. 6 C. 9 D. 18
Answer key: Year 7 Maths Test
- 5
- -6
- 32
- 5
- 41
- 35
- 17/12
- 92
- 90
- 30
- 63
- 40
- 1/2
- 7
- 6
What this test covers
- Negative numbers (2 questions)
- Algebra (2 questions)
- Sequences (2 questions)
- Fractions (1 question)
- Percentages (1 question)
- Ratio (1 question)
- Angles (1 question)
- Area (2 questions)
- Probability (1 question)
- Averages (1 question)
- Factors (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 pound sign is ignored, and 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 −7 − (−12)?
- What is −3 × 8 ÷ 4?
- Find the value of 5n + 2 when n = 6.
- Solve for x: 3(x + 4) = 27.
- The nth term of a sequence is 4n + 1. What is the 10th term?
- The sequence 7, 11, 15, 19 carries on in the same way. What is the 8th term?
- What is 2/3 + 3/4? Write your answer as an improper fraction.
- Increase £80 by 15%. What is the new amount in pounds?
- Share £150 in the ratio 2 : 3. How many pounds is the larger share?
- The angles in a triangle are x, 2x and 3x degrees. What is the value of x?
- What is the area of a triangle with base 14 cm and height 9 cm, in cm²?
- What is the area of a trapezium with parallel sides 6 cm and 10 cm and a height of 5 cm, in cm²?
- A bag has 3 red, 5 blue and 2 green counters. What is the probability of picking a blue counter? Write a fraction in simplest form.
- The mean of five numbers is 8. Four of the numbers are 5, 7, 9 and 12. What is the fifth number?
- What is the highest common factor of 18 and 30? (A. 3; B. 6; C. 9; D. 18)
Answers and explanations
| Question | Answer | Explanation |
|---|---|---|
| 1 | 5 | Subtracting a negative is the same as adding: −7 + 12 = 5. |
| 2 | -6 | −3 × 8 = −24, and −24 ÷ 4 = −6. |
| 3 | 32 | 5 × 6 = 30, and 30 + 2 = 32. |
| 4 | 5 | Divide both sides by 3 to get x + 4 = 9, then subtract 4: x = 5. |
| 5 | 41 | Replace n with 10: 4 × 10 + 1 = 41. |
| 6 | 35 | The sequence goes up by 4 each time. The 8th term is 7 + 7 × 4 = 35. |
| 7 | 17/12 | 2/3 = 8/12 and 3/4 = 9/12. 8/12 + 9/12 = 17/12. |
| 8 | 92 | 15% of 80 is 12. 80 + 12 = 92. |
| 9 | 90 | There are 5 parts. One part is £30, so the larger share is 3 × 30 = £90. |
| 10 | 30 | x + 2x + 3x = 6x = 180, so x = 30. |
| 11 | 63 | Area = half × base × height = 14 × 9 ÷ 2 = 63. |
| 12 | 40 | Area = half × (sum of parallel sides) × height = 8 × 5 = 40. |
| 13 | 1/2 | There are 10 counters and 5 are blue, so 5/10, which simplifies to 1/2. |
| 14 | 7 | The five numbers add up to 5 × 8 = 40. The four known numbers add up to 33, so the fifth is 7. |
| 15 | 6 | The largest number that divides both 18 and 30 is 6. |
Tips for Year 7 maths
- Treat subtracting a negative number as adding: 7 − (−12) is the same as 7 + 12.
- To find the nth term of a sequence, look at the common difference first.
- Write area formulas down before substituting, for example half × base × height for a triangle.
Frequently asked questions
How many questions are on this test?
There are 15 questions. Most students need about 28 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.
Is a maths test the same as a math test?
Yes. Maths is the UK spelling and math is the US spelling of the same subject. This test uses pounds and metric units and is written for UK school years.
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.