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.

1,561.

The grades of 36 students in a class test are as shown in the pie chart above. How many students have excellent?

A.

12

B.

9

C.

8

D.

7

Correct answer is D

Excellent = 360° - (120° + 90° + 80°)

= 70°

Number of excellent students = \(\frac{70}{360} \times 36\)

= 7 students

1,562.

Find the area of the trapezium above.

A.

91 cm2

B.

78 cm2

C.

60 cm2

D.

19 cm2

Correct answer is C

Area of trapezium = \(\frac{1}{2} (a + b) \times h\)

= \(\frac{1}{2} (7 + 13) \times 6\)

= \(60 cm^{2}\)

1,563.

In the diagram above, PQR is a circle centre O. If < QPR is x°, find < QRP.

A.

B.

(90 – x)°

C.

(90 + x)°

D.

(180 – x)°

Correct answer is B

< PQR = 90° (angle in a semi-circle) < QRP = (90 - x)°

1,564.

In diagram above, QR//TU, < PQR = 80° and < PSU = 95°. Calculate < SUT.

A.

15o

B.

25o

C.

30o

D.

80o

Correct answer is A

< PQR = < PTU = 80°

< TSU = 85°

x = 180° - (80° + 85°)

= 15°

1,565.

The shaded region above is represented by
the equation

A.

y ≤ 4x + 2

B.

y ≥ 4x + 2

C.

y ≤ -4x + 4

D.

y ≤ 4x + 4

Correct answer is C

Equation of the line

\(\frac{y - 4}{x - 0} = \frac{0 - 4}{1 - 0}\)

\(\frac{y - 4}{x} = \frac{-4}{1}\)

\(\therefore -4x = y - 4\)

\(y = -4x + 4\)

\(\therefore \text{The shaded portion = } y \leq -4x + 4\)