GCSE MATH 2

Question 1

What is the gradient of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Gradient = (13 − 5) / (6 − 2) = 8 / 4 = 2.

Question 2

A rectangle has a perimeter of 36 cm and a width of 7 cm. What is its length?

Accepted Answer

11 cm

Answer

Perimeter = 2(l + w), so 36 = 2(l + 7), giving l = 11 cm.

Question 3

Solve for x: 3x − 7 = 2x + 5

Accepted Answer

x = 12

Answer

Subtract 2x from both sides: x − 7 = 5, so x = 12.

Question 4

What is 15% of 240?

Accepted Answer

36

Answer

15% of 240 = 0.15 × 240 = 36.

Question 5

A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of picking a blue marble?

Accepted Answer

1/4

Answer

P(blue) = 3 / (4 + 3 + 5) = 3/12 = 1/4.

GCSE - General Certificate of Secondary Education Practice Test