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.

561.

Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation (n \(\oplus 4\))

A.

1

B.

2

C.

3

D.

4

Correct answer is C

(n \(\oplus\) 4) \(\oplus\) 3 = 0 (mod 5)

(3 \(\oplus\) 4) \(\oplus\) 3

12 \(\oplus\) 3 = 15 (mod 5)

(5 x 3 + 0) = 0 (mod 5)

562.

A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take\(\frac{22}{7}\)]

A.

7.83\(m^2\)

B.

32.29\(m^2\)

C.

50.29\(m^2\)

D.

82.50\(m^2\)

Correct answer is D

Area of path = Area of (pond+path) - Area of pond

The area of the pond with the path: The radius = (4 + 2.5)m = 6.5m

Area = \(\pi \times r^{2}\) = \(\frac{22}{7} \times 6.5^{2} \approxeq 132.79m^{2}\)

Area of the pond = \(\frac{22}{7} \times 4^{2} \approxeq 50.29m^{2}\)

 Area of the path  = (132.79 - 50.29)m^{2} = 82.50m^{2}\)

563.

Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9

A.

2.2

B.

3.4

C.

4.0

D.

4.2

Correct answer is D

x = \(\frac{2 + 3 + 3 + 4 + 5 + 5+ 5+ 7 + 7 + 9}{10}\)

=\(\frac{50}{10}\)

= 5

Variance = \(\frac{\sum{(x - x})^2}{N}\)

\(\frac{9 + 4+ 4+ 1 + 4 + 4 + 16}{10}\)

= \(\frac{42}{10}\)

= 4.2

564.

If the simple interest on a certain amount of money saved in a bank for 5 years at 2\(\frac{1}{2}\)% annum is N500.00, calculate the total amount due after 6 years at the same rate

A.

N2,500.00

B.

N2,600.00

C.

N4,500.00

D.

N4,600.00

Correct answer is D

P = \(\frac{100l}{RT} = \frac{100 \times 500}{5 \times 2.5} = \frac{50,000}{12.5}\)

= 4,000

Annual interest is \(\frac{500}{5}\) = 100

for 6 year = 4,000 + 100 + 100 + 100 + 100 + 100 + 100

= N 4,600

565.

Two bottles are drawn with replacement from a crate containing 8 Coke, 12 Fanta, and 4 Sprite bottles. What is the probability that the first is coke and the second is not coke?

A.

\(\frac{1}{12}\)

B.

\(\frac{1}{6}\)

C.

\(\frac{2}{9}\)

D.

\(\frac{3}{8}\)

Correct answer is C

Total = 8 + 12 + 4

= 24

\(\frac{8}{24} \times (\frac{12}{24} + \frac{4}{24}\))

= \(\frac{1}{3} \times (\frac{1}{2} + \frac{1}{6}\))

= \(\frac{1}{3} \times \frac{3 + 1}{6}\)

\(\frac{1}{3} \times \frac{4}{6} = \frac{2}{9}\)