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.

546.

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h.

A.

12cm

B.

10cm

C.

8cm

D.

5cm

Correct answer is D

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = \(\frac{80}{16}\)

= 5cm

547.

Solve \(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)

A.

\(\frac{1}{3}\)

B.

\(\frac{1}{4}\)

C.

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

D.

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

Correct answer is D

\(5^{2(x - 1)} \times 5^{x + 1} = 0.04\)

\(5^{2x - 2} \times 5^{x + 1} = 5^{-2}\)

\(2x - 2 + x + 1 = -2\)

\(3x - 1 = -2 \implies 3x = -2 + 1 = -1\)

\(x = -\frac{1}{3}\)

548.

Subtract 16418\(_9\) from 18630\(_9\).

A.

1121\(_9\)

B.

2112\(_9\)

C.

2113\(_9\)

D.

2211\(_9\)

Correct answer is D

18630\(_9\) - 16418\(_9\) = 2211\(_9\)

550.

In the diagram, PR is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of < STR

A.

24\(^o\)

B.

42\(^o\)

C.

48\(^o\)

D.

66\(^o\)

Correct answer is A

RSP = 90 < substance in semi a circle

RPS = 180 - (90 + 24)

= 180 - (114)

= 66

TPS = 180 - 66

= 114

RST = 24

< STR = 180 - (114 + 24)

= 180 - 138

= 42\(^o\)