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.

1,471.

The venn diagram shows the choice of food of a number of visitors to a canteen. If there were 35 visitors in all, find the value of x

View answer & explanation

Correct answer is A

5 + 6 + 4 + 8 + 5 + 2 + x = 35

30 + x = 35

x = 35 - 30

x = 5

1,472.

Find the value of x in the diagram

281^o

269^o

201^o

179^o

View answer & explanation

Correct answer is A

a = 34^o (alternate angles)

b = 45^o (alternate ngles)

a + b = 34 + 45 = 79^o

x + 79 = 360(sum of angles at a point)

x = 360 - 79

x = 281^o

1,473.

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

120^o

110^o

100^o

80^o

View answer & explanation

Correct answer is C

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

RPS = 50^o; < 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 = 180^o

< PQR = 180 - 80

= 100

1,474.

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

80^o

70^o

55^o

35^o

View answer & explanation

Correct answer is B

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

y = 180 - 110

= 70^o

x = y(corresponding angles)

x = 70^o

1,475.

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

24cm²

12cm²

10cm²

6cm²

View answer & explanation

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