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.

556.

In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.

A.

\(\frac{2}{9}\)

B.

\(\frac{4}{9}\)

C.

\(\frac{5}{9}\)

D.

\(\frac{7}{9}\)

Correct answer is B

28 - x + x + 25 - x = 45

53 - x = 45

x = 53 - 45

x = 8

chemistry only = 28 - 8

= 20

Probability = \(\frac{20}{45}\)

= \(\frac{4}{9}\)

557.

In the diagram, PQ and PS are tangents to the circle O. If PSQ = m, <SPQ = n and <SQR = 33\(^o\), find the value of (m + n)

A.

103\(^o\)

B.

123\(^o\)

C.

133\(^o\)q

D.

143\(^o\)

Correct answer is B

< SQP = 180 - (90 + 33)  < on a ----

= 180 - (123)

= 57\(^o\)

Therefore, (m + n) = 123\(^o\)

558.

The diagram shows a circle O. If &lt; ZYW = 33\(^o\) , find &lt; 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\(^o\) 

559.

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

560.

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\(^o\)