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.

1,441.

In the diagram, |SP| = |SR| and < PRS = 50o. Calculate < PQR

A.

120o

B.

110o

C.

100o

D.

80o

Correct answer is C

< PRS = RPS = 50o (base of isosceles)

RPS = 50o; < RSP + < PRS + < RPS = 180(sum of < s in a triangle)

< RPS + 50 + 50 = 180

< RSP = 180 - 100 = 80

then < PQR + < RSp = 180 (opp. < S of cyclic quad.)

< PQR + 80 = 180o

< PQR = 180 - 80

= 100

1,442.

From the diagram, find the value of x in the diagram.

A.

80o

B.

70o

C.

55o

D.

35o

Correct answer is B

y + 110o = 180o(angles on a straight line)

y = 180 - 110

= 70o

x = y(corresponding angles)

x = 70o

1,443.

In the diagram |LN| = 4cm, LNM = 90o and tan y = \(\frac{2}{3}\). What is the area of the \(\bigtriangleup\)LMN?

A.

24cm2

B.

12cm2

C.

10cm2

D.

6cm2

Correct answer is B

Since tan y = \(\frac{2}{3}\) and LN = 4

tan y = \(\frac{2 \times 4}{3 \times 4} = \frac{8}{12} = \frac{4}{6}\)

then tan y = \(\frac{opp}{adj}\)

MN = 6cm

Area of angle LMN = \(\frac{1}{2}\)bh

= \(\frac{1}{2} \times 6 \times 4\)

= 12cm3

1,444.

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

1,445.

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