Question 1 · 1 mark · Difficulty 1/3
Simplify √50.
- 10√5
- 25√2
- 2√5
- 5√2
Show answer & explanation
✓ Answer: D — 5√2
The largest square factor of 50 is 25, and the square root of 25 comes outside, leaving the 2 inside.
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AQA · GCSE · Mathematics
Surds: simplifying, rationalising the denominator and basic calculations
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74 AQA GCSE Mathematics questions on Surds: simplifying, rationalising the denominator and basic calculations, each with instant feedback and a full examiner-style mark scheme.
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Question 2 · 1 mark · Difficulty 1/3
What is √3 × √3?
- 6
- √6
- 3
- 9
Show answer & explanation
✓ Answer: C — 3
Multiplying a square root by itself undoes the root entirely. Adding the numbers under the roots would give √6, which is a different operation.
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AQA GCSE Mathematics: Surds: simplifying, rationalising the denominator and basic calculations FAQ
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Are the Surds: simplifying, rationalising the denominator and basic calculations questions aligned to the official AQA GCSE Mathematics syllabus?
Every question is written against the published AQA GCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real AQA paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from AQA.
How is Surds: simplifying, rationalising the denominator and basic calculations typically tested on AQA GCSE Mathematics papers?
Surds: simplifying, rationalising the denominator and basic calculations appears across multiple question types on real AQA GCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.
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