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.

1,626.

In the diagram, the base diameter is 14cm while the height is 12cm. Calculate the total surface area if the cylinder has both a base and a top.[\(\pi \frac{22}{7}\)]

A.

836cm2

B.

308cm2

C.

528cm2

D.

154cm2

Correct answer is A

Area(S) = 2\(\pi r^2 + 2 \pi rh = 2\pi r(h + r)\)

D = 14cm, 2r = D

r = \(\frac{D}{2}\)

= 7cm

S = 2 x \(\frac{22}{7} \times [7 + 12] = 44 \times 19\)

= 836cm2

1,627.

PT is a tangent to the circle TYZX. YT = YX and < PTX = 50o. Calculate < TZY

A.

50o

B.

65o

C.

85o

D.

130o

Correct answer is B

XTY = 50o = TXY = \(\frac{130^o}{2}\)

= 65o

1,628.

Determine the value of x in the figure

A.

134o

B.

81o

C.

53o

D.

46o

Correct answer is A

Within the triangle,

180° - (81° + 53°) = 46°

In a cyclic quadrilateral, the sum of two opposite angles = 180°

\(\therefore\) x = 180° - 46° = 134°

1,629.

Use the graph of the curve y = f(x)to solve the inequality f(x) \(\leq\) 0

A.

-1 \(\geq\) x \(\geq\) 1, x \(\geq\) 2

B.

x \(\leq\) -1, 1 \(\geq\) x \(\geq\) 2

C.

x \(\geq\) -1, 1 \(\geq\) x \(\geq\) 2

D.

x \(\geq\) 2, -1 \(\geq\) x \(\geq\) 1

Correct answer is B

-1 \(\geq\) x \(\geq\) 1, 1 < x \(\geq\) 2

Combining solutions

= x \(\leq\) 1; 1 \(\geq\) x \(\geq\) 2