HBS HBS Numerical Reasoning 3

Question 1

A tank is 3/4 full. It contains 60 litres. What is the full capacity of the tank?

Accepted Answer

80 litres

Answer

Full capacity = 60 ÷ (3/4) = 60 × (4/3) = 80 litres.

Question 2

What is the value of 144 ÷ 0.12?

Accepted Answer

1200

Answer

144 ÷ 0.12 = 144 × (100/12) = 1200.

Question 3

Three friends share $96 in the ratio 1:3:4. How much does the person with the largest share receive?

Accepted Answer

$48

Answer

Total parts = 8; largest share = 4/8 × $96 = $48.

Question 4

A rectangle has length 9 cm and width 5 cm. What is the length of its diagonal?

Accepted Answer

√106 cm

Answer

Diagonal = √(9² + 5²) = √(81 + 25) = √106 cm.

Question 5

If x + y = 20 and x − y = 6, what is the value of x?

Accepted Answer

13

Answer

Adding the equations: 2x = 26, so x = 13.

HBS - Henrietta Barnett School Practice Test