GCSE MATH 5 — Questions and Answers
Question 1: A circle has a diameter of 10 cm. What is its circumference? (Use π ≈ 3.14)
- 15.7 cm
- 31.4 cm (Correct answer)
- 78.5 cm
- 62.8 cm
Correct answer: 31.4 cm
Circumference = πd = 3.14 × 10 = 31.4 cm.
Question 2: Rearrange to make t the subject: v = u + at
- t = (v − u) / a (Correct answer)
- t = v − u − a
- t = a(v − u)
- t = (u − v) / a
Correct answer: t = (v − u) / a
Subtract u: v − u = at, then divide by a: t = (v − u) / a.
Question 3: What is the lowest common multiple (LCM) of 12 and 18?
- 6
- 24
- 36 (Correct answer)
- 216
Correct answer: 36
LCM(12, 18) = 36, since 36 is the smallest number divisible by both 12 and 18.
Question 4: A data set has a mean of 8 and contains the values 5, 7, 10, x. What is x?
- 9
- 10 (Correct answer)
- 11
- 12
Correct answer: 10
Mean = (5 + 7 + 10 + x) / 4 = 8, so 22 + x = 32, giving x = 10.
Question 5: What is the equation of a line with gradient 3 that passes through (0, −2)?
- y = 3x + 2
- y = 3x − 2 (Correct answer)
- y = −2x + 3
- y = 2x − 3
Correct answer: y = 3x − 2
Using y = mx + c with m = 3 and c = −2 gives y = 3x − 2.
Question 6: A spinner has 8 equal sections numbered 1 to 8. What is the probability of landing on an even number?
- 1/4
- 3/8
- 1/2 (Correct answer)
- 5/8
Correct answer: 1/2
Even numbers 1–8 are {2, 4, 6, 8} = 4 outcomes, so P = 4/8 = 1/2.
Question 7: Solve: x² − 5x + 6 = 0
- x = 2 or x = 3 (Correct answer)
- x = −2 or x = −3
- x = 1 or x = 6
- x = 2 or x = −3
Correct answer: x = 2 or x = 3
Factorising: (x − 2)(x − 3) = 0, so x = 2 or x = 3.
GCSE MATH 5
A circle has a diameter of 10 cm.
What is its circumference? (Use π ≈ 3.14)