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.

1,476.

The volume of a cylinder is 1200cm3 and the area of its base is 150cm2. Find the height of the cylinder.

A.

80.00cm

B.

8.00cm

C.

0.80cm

D.

0.08cm

Correct answer is B

Vol. of cylinder = \(\pi r^2h\) = 1200cm2

Area of base = \(\pi^2\) = 150cm2

h = \(\frac{\pi r^2}{\pi r^2} = \frac{1200}{150}\)

= 8.00cm

1,477.

Two circles have radii 16cm and 23cm. What is the difference between their circumference? take \(\pi = \frac{22}{7}\)

A.

422.92cm

B.

149.92cm

C.

44.00cm

D.

43.96cm

Correct answer is C

r = 16, R = 23; 2\(\pi R - 2 \pi r\)

= 2\(\pi(R - r)\)

= 2 x \(\frac{22}{7} (23 - 16)\)

= 2 x \(\frac{22}{7} \times (7)\)

= 44cm

1,478.

Simplify \(\frac{4}{2x} - \frac{2x + x}{x}\)

A.

-1

B.

-2x

C.

2x

D.

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

Correct answer is A

\(\frac{4}{2x} - \frac{2 + x}{x} = \frac{4 - 2(2 + x)}{2x}\)

= \(\frac{4 - 4 - 2x}{2x} = \frac{-2x}{2x}\)

= 1

1,479.

Expand the expression(3a - xy)(3a + xy)

A.

9a2 - x2y2

B.

9a2 + x2y2

C.

9a2 - xy

D.

9a2 + x2y

Correct answer is A

(3a - xy)(3a + xy); (3a)2 - (xy)2

difference of two sqs; 9a2 - x2y2

1,480.

Find the smallest value of k such that 2\(^2\) x 3\(^3\) x 5 x k is a perfect square.

A.

3

B.

5

C.

15

D.

30

Correct answer is C

2\(^2\) x 3\(^3\) x 5\(^1\) x k;

2\(^2\) x 3\(^2\) x 3 x 5 x k

2\(^2\) x 3\(^2\) x 15 x k

smallest value for k

2\(^2\) x 3\(^2\) x 15 = 2\(^2\) x 3\(^2\) x 15\(^2\)

k = 15