O-Level Mathematics 4

Question 1

Find the value of x: 5(x - 2) = 3x + 4

Accepted Answer

7

Answer

5x - 10 = 3x + 4 → 2x = 14 → x = 7.

Question 2

What is the equation of a line with gradient 3 and y-intercept -2?

Accepted Answer

y = 3x - 2

Answer

Using y = mx + c: gradient m = 3, y-intercept c = -2, so y = 3x - 2.

Question 3

A map has a scale of 1:50000. A distance of 4 cm on the map represents how many km in real life?

Accepted Answer

2 km

Answer

4 cm × 50000 = 200000 cm = 2000 m = 2 km.

Question 4

Calculate the circumference of a circle with diameter 14 cm. (Use π ≈ 22/7)

Accepted Answer

44 cm

Answer

C = πd = (22/7) × 14 = 44 cm.

Question 5

Solve the simultaneous equations: x + y = 7 and x - y = 3

Accepted Answer

x=5, y=2

Answer

Adding: 2x = 10, x = 5. Substituting: 5 + y = 7, y = 2.

GCE O-Level Practice Test