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.

541.

The diagram shows a circle O. If < ZYW = 33\(^o\) , find < ZWX

A.

33\(^o\)

B.

57\(^o\)

C.

90\(^o\)

D.

100\(^o\)

Correct answer is C

In ZY = 90\(^o\)  < subtends In a semi O

ZWY = 180 - (90\(^o\)  + 33)

= 57

ZWX = 57 + 33 = 90\(^o\) 

542.

In the diagram, XY is a straight line.

A.

60\(^o\)

B.

90\(^o\)

C.

100\(^o\)

D.

120\(^o\)

Correct answer is B

<POX = <POQ; <ROY = QOR

2 <POQ + 2 <ROY = 180

2(<POQ = <ROY) = 180

<POQ + <ROY = 90

543.

The diagram shows a circle centre O. if <STR = 29 and <RST = 45, calculate the value of <STO

A.

12\(^o\)

B.

15\(^o\)

C.

29\(^o\)

D.

34\(^o\)

Correct answer is A

SRT = 180 - (46 + 29) sum of < s in a

= 180 - 75

= 105

SOT = 2 x 46 < at the centre is twice all the circle = 92

RTO = 180 - (96 + 43)

= 41

STO = 41 - 29

= 12\(^o\)

544.

Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation (n \(\oplus 4\))

A.

1

B.

2

C.

3

D.

4

Correct answer is C

(n \(\oplus\) 4) \(\oplus\) 3 = 0 (mod 5)

(3 \(\oplus\) 4) \(\oplus\) 3

12 \(\oplus\) 3 = 15 (mod 5)

(5 x 3 + 0) = 0 (mod 5)

545.

A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take\(\frac{22}{7}\)]

A.

7.83\(m^2\)

B.

32.29\(m^2\)

C.

50.29\(m^2\)

D.

82.50\(m^2\)

Correct answer is D

Area of path = Area of (pond+path) - Area of pond

The area of the pond with the path: The radius = (4 + 2.5)m = 6.5m

Area = \(\pi \times r^{2}\) = \(\frac{22}{7} \times 6.5^{2} \approxeq 132.79m^{2}\)

Area of the pond = \(\frac{22}{7} \times 4^{2} \approxeq 50.29m^{2}\)

 Area of the path  = (132.79 - 50.29)m^{2} = 82.50m^{2}\)