Mathematics Past Questions and Answers

The length, breadth and height of a cuboid are 8cm, 7\(\frac{1}{2}\)cm and 6\(\frac{1}{2}\) cm respectively. What Is its volume in m³ (leave your answer in standard form)?

A 3.9 × 10^-1m³
B 3.9 × 10^-2m³
C 3.9 × 10^-3m³
D 3.9 × 10^-4m³
E 3.9 × 10^-5m³

Question 47:

Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

A {17}
B {16, 17, 19, 20}
C {1, 4, 15, 17, 18}
D {14, 15, 16, 18, 19, 20}
E {14, 15, 16, 17, 18, 19, 20}

Question 48:

Evaluate 1.25 × 102 × 0.125 × 103 × 12.5 × 10^-4 leaving your answer in standard form

A 1.995 × 10³
B 1.95 × 10²
C 1.95 × 10¹
D 1.95 × 10^-2
E 1.95 × 10^-3

Question 49:

What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

A 7.07cm\(^3\)
B 50.0cm\(^3\)
C 125.0cm\(^3\)
D 353.4cm\(^3\)
E 625.0cm\(^3\)

Question 50:

A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

A 9.0cm
B 8.5cm
C 7.2cm
D 4.3cm
E 3.0cm