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.

1,731.

In the diagram, XZ is the diameter of a circle's radius \(\frac{5}{2}\). If XY is 4cm, then the area of the triangle XYZ is

A.

12cm2

B.

28\(\frac{1}{2}\)cm2

C.

16cm2

D.

10cm2

E.

6cm2

Correct answer is E

Area of the triangle XYZ = \(\frac{1}{2}\)bh = \(\frac{1}{2}\)ZY x XY

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

= 6cm2.

1,732.

In the figure, find x in terms of a, b and c.

A.

a + b + c

B.

180o - (a + b + c)

C.

a - b - c

D.

a + b

E.

a + c

Correct answer is A

180 - x + a + b + c

= 180(sum of interior angle in triangle)

a + b + c = x.

1,733.

In the figure, find the area of XYZW

A.

60cm2

B.

54cm2

C.

36cm2

D.

54\(\sqrt{2}\)cm2

E.

27\(\sqrt{2}\)cm2

Correct answer is C

Average of trapezium XYZW = \(\frac{1}{2}\)(a + b)h from rt < YDZ,

h = 8 sin 30º

area = \(\frac{1}{2}\)(10 + 8)4

= 8 x \(\frac{1}{2}\) = 4

\(\frac{1}{2}\)(18) x 4

= 36cm2

1,734.

In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?

A.

50o

B.

75o

C.

35o

D.

115o

E.

30o

Correct answer is C

< WYT = \(\frac{180 - 30}{2}\)

= \(\frac{150}{2}\)

= 75o(base angles of isosceles D)

YXW = 75 - 40 = 35o(Exterior angle is equal to sum of interior angles)

1,735.

Find the area of the shades segments in the figure

A.

\(\sqrt{3}\)

B.

4 \(\pi - \sqrt{3}\)

C.

-\(\frac{2}{3} \pi\)

D.

\(\frac{2\pi}{3}\) -3

Correct answer is D

Area of section = \(\frac{60^o}{360^o}\) x 11r2

= \(\frac{60}{360} \times \pi \times 2^2\)

= \(\frac{1}{6}\) x 4

= \(\frac{4\pi}{6}\)

= \(\frac{2\pi}{3}\)

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

= 2 x 28.......60

Segment Area = Area of section - Area of triangle

= \(\frac{2\pi}{3}\) -3