AQA
GCSE
Maths
Surds
AQA GCSE Maths revision on Surds. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
-
Question 1
Simplify sqrt(50).
- A) 5sqrt(2)
- B) 2sqrt(5)
- C) 10
- D) 5sqrt(10)
Show answer
Answer: 5sqrt(2)
Find the largest perfect-square factor: 50 = 25 x 2. Then sqrt(50) = sqrt(25) x sqrt(2) = 5sqrt(2).
-
Question 2
Rationalise 1/sqrt(3).
- A) sqrt(3)/3
- B) 3/sqrt(3)
- C) sqrt(3)
- D) 1/3
Show answer
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.
-
Question 3
Simplify sqrt(72).
- A) 6sqrt(2)
- B) 8sqrt(3)
- C) 3sqrt(8)
- D) 2sqrt(18)
Show answer
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.