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.

566.

Water flows out of a pipe at a rate of 40\(\pi cm^2\) per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.

A.

10 cm

B.

14 cm

C.

16 cm

D.

20 cm

Correct answer is A

Volume of a cylinder = \(\pi r^2h\)

40\(\pi cm^3\) = \(\pi. 4^2h\)

40\(cm^3\) = 16h

h = 2.5cm/sec

In 4 seconds, 2.5cm x 4

= 10cm

567.

An arc of a circle of radius 7.5cm is 7.5cm  long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take \(\pi = \frac{22}{7}\)]

A.

29\(^o\)

B.

57\(^o\)

C.

65\(^o\)

D.

115\(^o\)

Correct answer is B

lac = \(\frac{\theta}{360}\) x 2\(\pi\)r

7.5 = \(\frac{\theta}{360}\) x 2 x \(\frac{22}{7}\) x 7.5

7.5 = \(\frac{330\theta}{2520}\)

\(\theta\) = \(\frac{7.5}{0.1309}\)

\(\theta\) = 57.29

\(\theta\) = 57 \(^o\)

568.

Simplify; 3x - (p - x) - (r - p)

A.

2x - r

B.

2x + r

C.

4x - r

D.

2x - 2p - r

Correct answer is C

3x - (p - x) - ( r - p) = 3x - p + x - r + p = 4x - r

569.

Solve: - \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\)

A.

-\(\frac{5}{9}\) < x <\(\frac{8}{9}\)

B.

-\(\frac{8}{9}\) < x <\(\frac{7}{9}\)

C.

-\(\frac{8}{9}\) < x <\(\frac{5}{9}\)

D.

-\(\frac{7}{9}\) < x <\(\frac{8}{9}\)

Correct answer is A

\(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\); \(\frac{3}{4}\) (3x - 2) > - \(\frac{1}{4}\)

3(3x - 2) < 2; 3(3x - 2) > -1

9x - 6 < 2; 9x - 6 > -1

9x < 8; 9x > 5

x < \(\frac{5}{9}\); x > \(\frac{8}{9}\)

570.

One factor of \(7x^2 + 33x - 10\) is

A.

7x + 5

B.

x - 2

C.

7x - 2

D.

x - 5

Correct answer is C

\(7x^2 + 33x - 10\)

\(7x^2 + 35x - 2x - 10\)

7x (x + 5) - 2 (x + 5)

(7x - 2) (x + 5)