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.

507.

In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

A.

56 cm\(^2\)

B.

24 cm\(^2\)

C.

42 cm\(^2\)

D.

34 cm\(^2\)

Correct answer is D

Area of rectangle ABCD = length x breadth

= 7 x 4 

= 28 cm\(^2\)

Area of triangle CDE = \(\frac{1}{2}\) base x height

= \(\frac{1}{2} \times 3 \times 4\)

= 6 cm\(^2\)

Area of the figure = 28 cm\(^2\) + 6 cm\(^2\)

= 34 cm\(^2\)

508.

If \(4\sin^2 x - 3 = 0\), find the value of x, when 0° \(\leq\) x \(\leq\) 90°

A.

90°

B.

45°

C.

60°

D.

30°

Correct answer is C

\(4\sin^2 x - 3 = 0\)

\(4 \sin^2 x = 3 \implies \sin^2 x = \frac{3}{4}\)

\(\sin x = \frac{\sqrt{3}}{2}\)

\(\therefore x = \sin^{-1} (\frac{\sqrt{3}}{2})\)

x = 60°

509.

From the cyclic quadrilateral MNOP above, find the value of x.

A.

16°

B.

25°

C.

42°

D.

39°

Correct answer is D

The sum of two opposite angles of a cyclic quadrilateral = 180°

\(\therefore\) (2x + 18)° + 84° = 180°

2x + 102° = 180° \(\implies\) 2x = 78°

x = 39°

510.

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

A.

bisector of the two lines

B.

line parallel to the two lines

C.

angle bisector of the two lines

D.

perpendicular bisector of the two lines

Correct answer is C

The locus of a points equidistant from two intersecting straight lines is a pair of bisectors that bisect the angles formed by the two intersecting lines.