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.

1,531.

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)°

1,532.

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°

1,533.

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

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

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

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

\(y = -4x + 4\)

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

1,534.

The pie chart above shows the monthly distribution of a man's salary on food items. If he spent N8,000 on rice, how much did he spent on yam?

A.

N42,000

B.

N18,000

C.

N16,000

D.

N12,000

Correct answer is C

Angle of sector subtended by yam

= 360o - (70 + 80 + 50)o

= 360o - 200o

= 160o

But \(\frac{80^o}{360^o}\) x T = 8000

T = \(\frac{8000 \times 360^o}{80^o}\)

= N36,000

Hence the amount spent on yam = \(\frac{160^o}{260} \times N36,000\)

= N16,000

1,535.

in the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

A.

y = x + 5

B.

y = -x + 5

C.

y = x - 5

D.

y = -x - 5

Correct answer is B

(x1, y1) = (0,5)

(x2, y2) = (5, 0)

Using \(\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}\)

\(\frac{y - 5}{0 - 5} = \frac{x - 0}{5 - 0}\)

\(\frac{y - 5}{-5} = \frac{x}{5}\)

5(y - 5) = -5x

y - 5 = -x

x + y = 5

y = -x + 5