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.

1,616.

In the diagram, PR is a diameter of the circle PQRS. PST and QRT are straight lines. Find QRS

A.

20o

B.

25o

C.

30o

D.

35o

Correct answer is B

< PSR = \(\frac{1}{2}\)(180o) = 90o (angle substended by a semi-circle)

∴ < TSR = 90o

< SRT = 90o - 30o = 60o

< PRS = 90o - 35o = 55o

< PRQ = 180 - (60o + 55o) = 180 - 115o = 65o

< SQR = 35o(angles in the same segment)

< QSR + < SRQ + < SQR = 180o

< QSR + 120o + 35o = 180o

< QSR + 155 = 180o

< QSR = 180o - 155o

= 25o

1,617.

The shaded area represents

A.

x \(\leq\) 0, y \(\leq\) 0, 2y + 3x \(\leq\) 6

B.

x \(\geq\) 0, y \(\geq\) 3, 3x + 2y \(\geq\) 6

C.

x \(\geq\) 2, y \(\geq\) 0, 3x + 2y \(\leq\) 6

D.

x \(\geq\) 0, y \(\geq\) 0, 3x + 2y \(\geq\) 6

Correct answer is A

m = \(\frac{y_2 - y_1}{x_2 - x_2} = \frac{3 - 0}{0 - 2} = \frac{-3}{2}\)

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

m = \(\frac{y - 3}{x}\) \(\geq\) \(\frac{-3}{2}\)

2(y - 3) \(\geq\) - 3x = 2y - 6 \(\geq\) - 3x

= 2y + 3x \(\leq\) 6 ; x \(\leq\) 0, y \(\leq\) 0

1,618.

In the venn diagram, the shaded region is?

A.

(P \(\cap\) Q) \(\cup\) R

B.

(P \(\cap\) Q) \(\cap\) R

C.

(P \(\cap\) Q1) \(\cap\) R

D.

(P \(\cap\) Q1) \(\cup\) R

Correct answer is C

No explanation has been provided for this answer.

1,620.

The pie chart shows the income of a civil servant in a month. If his monthly income is N6000, find his monthly basic salary

A.

N2050

B.

N2600

C.

N3100

D.

N3450

Correct answer is A

360º - (60º + 60º + 67º + 50º = 237º) 

360º - 237º = 123º

B. Salary = \(\frac{123}{360}\times N6000\)

= N2,050