PassNova has 8 free GCSE Maths Higher practice questions on Number, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Number: example questions & answers
8 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
Simplify √50.
- A5√2✓
- B25√2
- C2√5
- D10√5
Answer: √50 = √(25×2) = √25 × √2 = 5√2.
Write 0.00056 in standard form.
- A5.6 × 10⁴
- B5.6 × 10⁻⁴✓
- C56 × 10⁻⁵
- D5.6 × 10⁻³
Answer: Move the decimal point 4 places right to get 5.6, so 0.00056 = 5.6 × 10⁻⁴.
Evaluate 5⁰.
- A0
- B1✓
- C5
- Dundefined
Answer: Any non-zero number raised to the power 0 equals 1.
Evaluate 16^(1/2).
- A8
- B4✓
- C32
- D256
Answer: A power of ½ means the square root: 16^(1/2) = √16 = 4.
Simplify 2⁵ × 2³.
- A2⁸✓
- B2¹⁵
- C4⁸
- D2²
Answer: When multiplying powers of the same base, add the indices: 2⁵ × 2³ = 2⁸.
Rationalise the denominator of 1/√2.
- A√2
- B√2/2✓
- C2/√2
- D1/2
Answer: Multiply top and bottom by √2: 1/√2 × √2/√2 = √2/2.
Express 0.4 recurring (0.444…) as a fraction.
- A4/9✓
- B2/5
- C4/10
- D4/99
Answer: Let x = 0.444…; 10x = 4.444…; subtracting gives 9x = 4, so x = 4/9.
What is 3/4 + 2/3?
- A5/7
- B17/12✓
- C5/12
- D6/12
Answer: Common denominator 12: 9/12 + 8/12 = 17/12 (= 1 5/12).