Formulae and Equations
25 free practice questions with explanations
PassNova has 25 free Functional Skills Maths L2 practice questions on Formulae and Equations, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Formulae and Equations: example questions & answers
25 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
If y = 2x + 3, what is y when x = 5?
- A8
- B10
- C13✓
- D15
Answer: y = (2 × 5) + 3 = 10 + 3 = 13.
Solve: x + 5 = 12
- A5
- B7✓
- C12
- D17
Answer: x = 12 - 5 = 7.
Solve: 3x = 24
- A6
- B7
- C8✓
- D9
Answer: x = 24 ÷ 3 = 8.
If y = x² + 2, what is y when x = 3?
- A8
- B9
- C11✓
- D13
Answer: y = 3² + 2 = 9 + 2 = 11.
Solve: 2x + 4 = 10
- A2
- B3✓
- C4
- D5
Answer: 2x + 4 = 10. 2x = 6. x = 3.
If y = 5x - 2, what is y when x = 2?
- A4
- B8✓
- C10
- D12
Answer: y = (5 × 2) - 2 = 10 - 2 = 8.
Solve: x - 8 = 3
- A5
- B8
- C11✓
- D24
Answer: x = 3 + 8 = 11.
If C = 2πr and π ≈ 3.14, what is C when r = 5?
- A10
- B15.7
- C31.4✓
- D78.5
Answer: C = 2 × 3.14 × 5 = 31.4.
Solve: x/4 = 5
- A5
- B10
- C20✓
- D40
Answer: x = 5 × 4 = 20.
If y = 3x, what is y when x = 4?
- A7
- B12✓
- C16
- D20
Answer: y = 3 × 4 = 12.
Rearrange to make x the subject: y = x + 5
- Ax = y + 5
- Bx = y - 5✓
- Cx = 5y
- Dx = y/5
Answer: y = x + 5. x = y - 5.
Solve: 5x - 3 = 17
- A2.8
- B4✓
- C5
- D6
Answer: 5x = 17 + 3 = 20. x = 20 ÷ 5 = 4.
If the cost C = 10n + 5, where n is the number of items, what is C when n = 3?
- A18
- B25
- C30
- D35✓
Answer: C = (10 × 3) + 5 = 30 + 5 = 35.
Solve: x + x + x = 15
- A3
- B5✓
- C10
- D15
Answer: 3x = 15. x = 15 ÷ 3 = 5.
If A = l × w, where l = 8 and w = 6, what is A?
- A14
- B28
- C42
- D48✓
Answer: A = 8 × 6 = 48.
Rearrange to make t the subject: d = s × t
- At = d/s✓
- Bt = d × s
- Ct = s/d
- Dt = d + s
Answer: d = s × t. t = d/s.
Solve: 2(x + 3) = 10
- A1
- B2✓
- C3
- D4
Answer: 2x + 6 = 10. 2x = 4. x = 2.
If P = 2(l + w), and l = 5, w = 3, what is P?
- A8
- B10
- C16✓
- D30
Answer: P = 2(5 + 3) = 2 × 8 = 16.
Solve: x/2 + 3 = 7
- A4
- B6
- C8✓
- D10
Answer: x/2 = 7 - 3 = 4. x = 4 × 2 = 8.
If y = x/3 + 5, what is y when x = 9?
- A5
- B8✓
- C12
- D14
Answer: y = 9/3 + 5 = 3 + 5 = 8.
Solve: 3x - 5 = 13
- A4
- B5
- C6✓
- D7
Answer: 3x = 13 + 5 = 18. x = 18 ÷ 3 = 6.
Rearrange to make m the subject: E = mc²
- Am = c²/E
- Bm = E × c²
- Cm = E/c²✓
- Dm = E - c²
Answer: E = mc². m = E/c².
If V = l × w × h, and l = 4, w = 3, h = 2, what is V?
- A9
- B12
- C18
- D24✓
Answer: V = 4 × 3 × 2 = 24.
Solve: 4x = 32
- A4
- B8✓
- C12
- D16
Answer: x = 32 ÷ 4 = 8.
If y = 2x² + 1, what is y when x = 2?
- A5
- B8
- C9✓
- D12
Answer: y = 2(2²) + 1 = 2(4) + 1 = 8 + 1 = 9.