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.

1,316.

The cross section section of a uniform prism is a right-angled triangle with sides 3cm. 4cm and 5cm. If its length is 10cm. Calculate the total surface area

A.

142cm2

B.

132cm2

C.

122cm2

D.

112cm2

Correct answer is B

A prism has 3 rectangular faces and 2 triangular faces and 2 rectangular faces = 10(3 + 4 + 5) = 120

Area of triangular faces = \(\sqrt{s(s - a) (s - b) (s - c)}\)

where s = \(\frac{a + b + c}{2}\)

= \(\frac{3 + 4 + 5}{2}\)

= \(\frac{12}{2}\)

= 6

Area of \(\bigtriangleup\) = \(\sqrt{6(6 - 30(6 - 4)(6 - 5)}\)

= \(\sqrt{6 \times 3 \times 2 \times 1}\) = 6

Area of triangle faces = 2 x 6 = 12cm2

Total surface area = Area of rectangular face + Area of \(\bigtriangleup\) = 120 + 12

= 132cm2

1,317.

Esther was facing S 20° W. She turned 90° in the clock wise direction. What direction is she facing?

A.

N 70o W

B.

S 70o W

C.

N 20o W

D.

S 20o E

Correct answer is A

The bearing S 20° W is equivalent to a bearing of 200°.

Moving clockwise 90° ⇒ 200° + 90°

= 290°

This is equivalent to N 70° W.

1,318.

A regular polygon of n sides has each exterior angle to 45o. Find the value of n

A.

6

B.

8

C.

12

D.

15

Correct answer is B

Each interior angle = \(\frac{360^o}{n}\)

45o = \(\frac{360^o}{n}\)

45on = 360o

n = \(\frac{360^o}{45}\)

= 8

1,319.

A cylindrical container has a base radius of 14cm and height 18cm. How many litres of liquid can it hold? correct to the nearest litre [Take \(\pi = \frac{22}{7}\)]

A.

11

B.

14

C.

16

D.

18

Correct answer is A

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

= \(\frac{22}{7} \times 14^2\) x 14 x 18 = 22 x 28 x 18

= 11088cm3

1000cm3 = \(\frac{1}{1000}\) x 11088cm3

= 11.088

= 11

1,320.

One of the factors of (mn - nq - n2 + mq) is (m - n). The other factor is?

A.

(n - q)

B.

(q - n)

C.

(n + q)

D.

(q - m)

Correct answer is C

mn - nq - n\(^2\) + mq

mn - n\(^2\) - nq + mq

(mn - n\(^2\)) (mq - nq)

n(m - n) + q(m - n)

= (n +q) (m - n)