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.

1,636.

In the diagram, PQRS is a parallelogram. Find the value of < SQR

A.

30o

B.

50o

C.

80o

D.

100o

Correct answer is D

SQR + RQV + VQU = 18o angle on a straight line SP is parallel to QR and PV is parallel to TR

< STP = < RQV = 30o

But SQR + 30o + 50o = 180o

SQR = 180 - 80

= 100o

1,637.

Find the inequality which represents the shaded portion in the diagram

A.

2x - y - 2 \(\geq\) 0

B.

2x - y - 2 \(\leq\) 0

C.

2x - y - 2 < 0

D.

2x - y - 2 > 0

Correct answer is A

2x - y - 2 \(\geq\) 0 = y \(\leq\) 2x - 2

when x = 0, y = -2, when y = 0, x = 1

1,638.

The equation of the graph is

A.

y = (x - 3)3

B.

y = (x + 3)3

C.

y = x3 - 27

D.

y = -x3 + 27

Correct answer is C

y = x3 - 27, y = -27 \(\to\) (0, -27)

when y = 0, x = 3 (3, 0)

1,639.

The bar chart shows the distribution of marks in a class test. How many students took the test?

A.

15

B.

20

C.

25

D.

30

Correct answer is B

Number f students that took the test = \(\sum f\). Where f is the frequencies

= 2 + 5 + 0 + 3 + 4 + 0 + 0 + 2 + 3 + 1 + 2 = 20

1,640.

From the figure, calculate TH in centimeters

A.

\(\frac{5}{\sqrt{3} + 1}\)

B.

\(\frac{5}{\sqrt{3} - 1}\)

C.

\(\frac{5}{\sqrt{3}}\)

D.

\(\frac{\sqrt{3}}{5}\)

Correct answer is B

TH = tan 45o, TH = QH

\(\frac{TH}{5 + QH}\) = tan 30o

TH = (b + QH) tan 30o

QH = 56 (5 + QH) \(\frac{1}{\sqrt{3}}\)

QH(1 - \(\frac{1}{\sqrt{3}}\)) = \(\frac{5}{\sqrt{3}}\)

QH = \(\frac{5\sqrt{3}}{\sqrt{3}} - \frac{1}{\sqrt{3}}\)

= \(\frac{5}{\sqrt{3} - 1}\)