Surds
Edexcel GCSE Maths revision on Surds. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
Simplify sqrt(50).
- A) 5sqrt(2)
- B) 2sqrt(5)
- C) 10
- D) 5sqrt(10)
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Answer: 5sqrt(2)
Find the largest perfect-square factor: 50 = 25 x 2. Then sqrt(50) = sqrt(25) x sqrt(2) = 5sqrt(2).
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Question 2
Rationalise 1/sqrt(3).
- A) sqrt(3)/3
- B) 3/sqrt(3)
- C) sqrt(3)
- D) 1/3
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Answer: sqrt(3)/3
Multiply numerator and denominator by sqrt(3) to remove the surd from the bottom: (1xsqrt(3))/(sqrt(3)xsqrt(3)) = sqrt(3)/3.
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Question 3
Simplify sqrt(72).
- A) 6sqrt(2)
- B) 8sqrt(3)
- C) 3sqrt(8)
- D) 2sqrt(18)
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Answer: 6sqrt(2)
Largest perfect-square factor: 72 = 36 x 2. sqrt(72) = sqrt(36) x sqrt(2) = 6sqrt(2).
Want to test yourself on the remaining cards for this topic?
13 more questions on Surds — plus mistakes tracking and spaced repetition across the whole Maths spec.