Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

561.

If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ

A.

6 units

B.

5 units

C.

4 units

D.

2 units

Correct answer is D

\(\sqrt{(x_2 - x_1)^2 + (y_2 - Y_1)^2}\)

= \(\sqrt{(2 - 2)^2 + (5 - 3)^2}\)

= \(\sqrt{0^2 + 2^2}\)

= \(\sqrt{4}\)

= 2 units

562.

Calculate the gradient (slope) of the joining points (-1, 1) and (2, -2)

A.

-1

B.

\(\frac{-1}{2}\)

C.

\(\frac{1}{2}\)

D.

1

Correct answer is A

Gradient = m = \(\frac{y_2 - y_1}{x_2 - x_1}\)

= \(\frac{-2 -1}{2 + 1}\)

= \(\frac{-3}{3}\)

= -1

563.

Which of the following is true about parallelogram?

A.

opposite angles are supplementary

B.

opposite angles are complementary

C.

opposite angles are equal

D.

opposite angles are reflex angles

Correct answer is C

No explanation has been provided for this answer.

564.

If the total surface area of a solid hemisphere is equal to its volume, find the radius

A.

3.0cm

B.

4.5cm

C.

5.0cm

D.

9.0cm

Correct answer is B

T.S.A of hemisphere = 3\(\pi r^2\)

vol of hemisphere = \(\frac{2}{3} \pi r^3\)

3\(\pi r^2\) = \(\frac{2}{3} \pi r^3\)

3 = \(\frac{2}{3}r\)

9 = 2r

r = \(\frac{9}{2}\)

r = 4.5cm

565.

The dimensions of water tank are 13cm, 10cm and 70cm. If it is half-filled with water, calculate the volume of water in litres

A.

4.55 litres

B.

7.50 litres

C.

8.10 litres

D.

9.55 litres

Correct answer is A

Vol of a cubiod = L x b x h

v = 13cm  x 10cm x 70cm

= 9100cm

Since it is half-filled = \(\frac{9100}{2}\)cm

= 4550cm

4550cm \(\to\) 4.55 litres