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.

2,931.

PQRS is a rhombus of side 16cm. The diagonal |QS| = 20cm. Calculate, correct to the nearest degree, ∠PQR

A.

51o

B.

64o

C.

77o

D.

103o

Correct answer is D

cos\(\alpha\) = \(\frac{10}{16}\) = 0.625

\(\alpha\) = cos-1(0.625)

= 51.3o

∠PQR = 2\(\alpha\)

= 2(51.3o)

= 102.6

= 103o

2,932.

In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS = 50°. What is the size of ∠PSQ?

A.

75o

B.

80o

C.

85o

D.

95o

Correct answer is B

< PQS = 50° (PQ = PR)

< PQS = < SPQ = 50° (QS = PS)

In triangle PSQ, < PQS + < QPS + < PSQ = 180°

50° + 50° + < PSQ = 180°

< PSQ = 180° - 100° = 80°

2,933.

Which of the following is not the the size of an exterior angle of a regular polygon?

A.

15o

B.

18o

C.

20o

D.

21o

Correct answer is D

The size of an exterior angle = \(\frac{360}{n}\)

From the options, all options can perfectly divide 360°, except 21°.

2,934.

How many students are there in the group?

A.

25

B.

30

C.

52

D.

55

Correct answer is C

Total number of students = 20 + 16 + 10 + 6

= 52 students

2,935.

What is the mode?

A.

22.5 years

B.

23.0 years

C.

24.0 years

D.

27.5 years

Correct answer is B

No explanation has been provided for this answer.