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.

451.

This table below gives the scores of a group of students in a Further Mathematics Test.

Score 1 2 3 4 5 6 7
Frequency 4 6 8 4 10 6 2

Calculate the mean deviation for the distribution

A.

4.32

B.

2.81

C.

1.51

D.

3.90

Correct answer is C

Score(x) 1 2 3 4 5 6 7 Total Frequency (f) 4 6 8 4 10 6 2 40 fx 4 12 24 16 50 36 14 156 x - \(\bar{x}\) -2.9 -1.9 -0.9 0.1 1.1 2.1 3.1   |x - \(\bar{x}\)| 2.9 1.9 0.9 0.1 1.1 2.1 3.1   f|x - \(\bar{x}\)| 11.6 11.4 7.2 0.4 11 12.6 6.2 60.4

Mean = \(\frac{\sum fx}{\sum f}\)

= \(\frac{156}{40}\)

= 3.9

M.D = \(\frac{\sum f|x - \bar{x}|}{\sum f}\)

= \(\frac{60.4}{40}\)

= 1.51

453.

If M varies directly as N and inversely as the root of P. Given that M = 3, N = 5 and P = 25. Find the value of P when M = 2 and N = 6.

A.

36

B.

63

C.

47

D.

81

Correct answer is D

\(M \propto N \) ; \(M \propto \frac{1}{\sqrt{P}}\).

\(\therefore M \propto \frac{N}{\sqrt{P}}\)

\(M = \frac{k N}{\sqrt{P}}\)

when M = 3, N = 5 and P = 25;

\(3 = \frac{5k}{\sqrt{25}}\)

\(k = 3\)

\(M = \frac{3N}{\sqrt{P}}\)

when M = 2 and N = 6,

\(2 = \frac{3(6)}{\sqrt{P}} \implies \sqrt{P} = \frac{18}{2}\)

\(\sqrt{P} = 9 \implies P = 9^2\)

P = 81

454.

A binary operation Δ is defined by a Δ b = a + 3b + 2.
Find (3 Δ 2) Δ 5

A.

35

B.

59

C.

28

D.

87

Correct answer is C

a Δ b = a + 3b + 2 (3 Δ 2) Δ 5 = (3 + 3(2) + 2) Δ 5 = 11 Δ 5 = 11 + 3(5) + 2 = 28

455.

A factory worker earns ₦50,000 per month out of which he spends 15% on his children's education, ₦13,600 on Food, 3% on electricity and uses the rest for his personal purpose. How much does he have left?

A.

N21,850

B.

N18,780

C.

N27,400

D.

N32,500

Correct answer is C

Education = \(\frac{15}{100} \times N 50,000\)

= N 7,500

Food = N 13,600

Electricity = \(\frac{3}{100} \times N 50,000\)

= N 1,500

Leftover : N (50,000 - (7,500 + 13,600 + 1,500))

= N 27,400