PassNova has 30 free KS2 SATs Maths practice questions on Algebra, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Algebra: example questions & answers
12 worked examples with answers and explanations below. Practise all 30 Algebra questions free in the browser, with instant feedback on every answer.
If x = 5, what is 2x + 3?
- A8
- B10
- C13✓
- D15
Answer: If x = 5, then 2x + 3 = (2 × 5) + 3 = 10 + 3 = 13.
Solve: x + 7 = 12
- Ax = 3
- Bx = 4
- Cx = 5✓
- Dx = 6
Answer: x + 7 = 12. Subtract 7 from both sides: x = 12 - 7 = 5.
Solve: 3x = 15
- Ax = 3
- Bx = 4
- Cx = 5✓
- Dx = 6
Answer: 3x = 15. Divide both sides by 3: x = 15 ÷ 3 = 5.
What is the next number in the sequence: 2, 5, 8, 11, ...?
- A12
- B13
- C14✓
- D15
Answer: The sequence increases by 3 each time. 11 + 3 = 14.
If y = 3, what is 4y - 2?
- A8
- B10✓
- C12
- D14
Answer: If y = 3, then 4y - 2 = (4 × 3) - 2 = 12 - 2 = 10.
Solve: 2x + 5 = 13
- Ax = 2
- Bx = 3
- Cx = 4✓
- Dx = 5
Answer: 2x + 5 = 13. Subtract 5 from both sides: 2x = 8. Divide by 2: x = 4.
What is the rule for this sequence: 3, 6, 9, 12?
- AAdd 2
- BAdd 3✓
- CAdd 4
- DMultiply by 2
Answer: Each term increases by 3. The rule is: add 3 (or the nth term is 3n).
If a = 2 and b = 3, what is 5a + 2b?
- A16✓
- B17
- C18
- D19
Answer: 5a + 2b = (5 × 2) + (2 × 3) = 10 + 6 = 16.
Solve: x - 8 = 7
- Ax = 12
- Bx = 13
- Cx = 14
- Dx = 15✓
Answer: x - 8 = 7. Add 8 to both sides: x = 7 + 8 = 15.
What is the 5th term in the sequence with rule n + 2 (where n is the position)?
- A5
- B6
- C7✓
- D8
Answer: When n = 5, the term = 5 + 2 = 7.
Solve: 3x - 4 = 11
- Ax = 4
- Bx = 5✓
- Cx = 6
- Dx = 7
Answer: 3x - 4 = 11. Add 4 to both sides: 3x = 15. Divide by 3: x = 5.
If p = 4, what is p² + 3p?
- A22
- B23
- C24
- D28✓
Answer: If p = 4, then p² + 3p = (4 × 4) + (3 × 4) = 16 + 12 = 28.