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.

596.

Express 0.0000407, correct to 2 significant figures

A.

0.0

B.

0.00004

C.

0.000041

D.

0.0000407

Correct answer is C

0.0000407 to 2 s.f 0.000041 (2 s.f)

597.

The graph of y = x\(^2\) and y = x intersect at which of these points?

A.

(0,0), (1,1)

B.

(0,0), (0,1)

C.

(1, 0), (0, 0)

D.

(0, 0) (0, 0)

Correct answer is A

y = x\(^2\) ....(1)

y = x ......(2)

y = y

x\(^2\) - x

x\(^2\) - x = 0

x(x - 1) = 0

x = 0 or x - 1 = 0

x = 0 or x = 1

when x = 0, y = 0\(^2\) = 0

when x = 1, y = 1\(^2\) = 1

Hence; the two graphs interest at (0, 0) and (1, 1)

598.

M and N are two subsets of the universal set (U). If n(U) = 48, n(M) = 20, n(N) = 30 and n(MUN) = 40, find n(M \(\cap\) N)

A.

18

B.

20

C.

30

D.

38

Correct answer is D

Let n(M \(\cup\) N \) = x

Then 20 - x + x + 30

- x = n(M \(\cup\) N)

50 - x = 40

50 - 40 = x

10 = x

x = 10

Hence, n(M \(\cup\N)' = 8  + (20 - 10) + (30 + 10)

= 8 + 10 + 20

= 38

599.

The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter

A.

42cm

B.

48cm

C.

52cm

D.

60cm

Correct answer is C

Let the length of a side of the rhombus be n

Then, n\(^2\) = 5\(^2\) + 12\(^2\)

= 25 + 144 = 169

n = \(\sqrt{169}\)

= 13cm

Hence, perimeter of rhombus = 4n = 4 x 13

= 52cm

600.

Given that Y is 20cm on a bearing of 300\(^o\) from x, how far south of y is x?

A.

10cm

B.

15cm

C.

25cm

D.

30cm

Correct answer is A

In \(\bigtriangleup\)YSC, sin 30\(^o\) = \(\frac{YS}{20}\)

|YS| = 20 sin 30\(^o\)

= 20 x 0.5

10m