Free revision / Grade 7 / Mathematics

Kenyan CBC practice · Grade 7

Free Grade 7 Mathematics Revision & Practice Questions

Build understanding one topic at a time. Use these supplementary practice questions with class notes and your teacher’s current curriculum guidance.

10 questions · 2 topics · Explained answers
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Topic reminders

Fractions

Build confidence with equivalent fractions, addition, subtraction and fractions of a quantity. Use a pencil and paper, then check each step against the worked answers.

  • Use a common denominator before adding or subtracting fractions.
  • Simplify by dividing the numerator and denominator by the same factor.
  • To find a fraction of a quantity, divide by the denominator, then multiply by the numerator.

Introduction to algebra

A letter can stand for a number. Practise turning everyday situations into expressions, collecting like terms and solving simple equations, one step at a time.

  • Only collect like terms: 2x + 3x = 5x, but 2x + 3 cannot be combined.
  • When substituting, replace the letter with its value before calculating.
  • Keep an equation balanced by doing the same operation to both sides.

Test your understanding

Choose one answer for each question. Your score stays in this browser session and is not sent to our server.

1. Which fraction is equivalent to 3/4?
2. What is 1/3 + 1/6 in its simplest form?
3. A learner reads 3/5 of a 40-page booklet. How many pages have they read?
4. What is 5/6 − 1/4 in its simplest form?
5. Which fraction is the largest?
6. Simplify 3x + 2x.
7. Find 2a + 3 when a = 4.
8. Solve x + 7 = 15.
9. One exercise book costs b shillings. Which expression gives the cost of four books?
10. Solve 3y = 18.

Answers and explanations

1. Which fraction is equivalent to 3/4?

Answer: 6/8.

Multiply both the numerator and denominator by 2: 3/4 = 6/8. The value stays the same.

2. What is 1/3 + 1/6 in its simplest form?

Answer: 1/2.

Use denominator 6. 1/3 = 2/6, so 2/6 + 1/6 = 3/6 = 1/2.

3. A learner reads 3/5 of a 40-page booklet. How many pages have they read?

Answer: 24.

One fifth of 40 is 8. Three fifths is 3 × 8 = 24 pages.

4. What is 5/6 − 1/4 in its simplest form?

Answer: 7/12.

Use denominator 12: 5/6 = 10/12 and 1/4 = 3/12. Subtract to get 7/12.

5. Which fraction is the largest?

Answer: 3/4.

With denominator 24 the fractions are 16/24, 18/24, 15/24 and 12/24. Therefore 3/4 is largest.

6. Simplify 3x + 2x.

Answer: 5x.

Both terms contain x. Add their coefficients: (3 + 2)x = 5x.

7. Find 2a + 3 when a = 4.

Answer: 11.

Substitute a = 4: 2 × 4 + 3 = 8 + 3 = 11. Multiply before adding.

8. Solve x + 7 = 15.

Answer: 8.

Subtract 7 from both sides: x = 15 − 7 = 8. Check: 8 + 7 = 15.

9. One exercise book costs b shillings. Which expression gives the cost of four books?

Answer: 4b.

Four books cost b + b + b + b = 4b shillings. Multiplication represents four equal costs.

10. Solve 3y = 18.

Answer: 6.

Divide both sides by 3: y = 18 ÷ 3 = 6. Check: 3 × 6 = 18.

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