GCSE MATH 5

Question 1

A circle has a diameter of 10 cm. What is its circumference? (Use π ≈ 3.14)

Accepted Answer

31.4 cm

Answer

Circumference = πd = 3.14 × 10 = 31.4 cm.

Question 2

Rearrange to make t the subject: v = u + at

Accepted Answer

t = (v − u) / a

Answer

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?

Accepted Answer

36

Answer

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?

Accepted Answer

10

Answer

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)?

Accepted Answer

y = 3x − 2

Answer

Using y = mx + c with m = 3 and c = −2 gives y = 3x − 2.

GCSE - General Certificate of Secondary Education Practice Test