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.

3,906.

If 6Pr = 6, find the value of 6Pr+1

A.

30

B.

33

C.

35

D.

15

Correct answer is A

6Pr = 6 Thus r = 1

N.B 6P1 = \(\frac{\text{6!}}{\text{(6 - 1)!}}\)

= \(\frac{\text{6!}}{\text{5!}}\)

= \(\frac{6 \times \text{5!}}{\text{5!}}\) = 6

6Pr + 1 = 6P2 = \(\frac{\text{6!}}{(6 - 2)\text{!}} = \frac{6\text{!}}{\text{4!}}\)

= \(\frac{6 \times 5 \times \text{4!}}{\text{4!}}\)

= 30

3,907.

Teams P and Q are involved in a game of football. What is the probability that the game ends in a draw?

A.

2/3

B.

1/2

C.

1/3

D.

1/4

Correct answer is D

P (games end in draw)
=> Team P wins and Q wins
P(P wins) = 1/2
P(Q wins) = 1/2
Therefore P (games ends in draw) = 1/2 x 1/2 = 1/4

3,908.

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. The mean score is

A.

7.0

B.

8.7

C.

9.5

D.

11.0

Correct answer is B

Mean = ∑fx/∑f
Mean = (4x3) + (7x5) + ... + (8x1) all divided by 20
Mean = 174/20 = 8.7

3,909.

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode.

A.

49

B.

121

C.

25

D.

64

Correct answer is B

Mode = score with highest frequency = 11.
Square of 11 = 121

3,910.

Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

A.

square of sides p

B.

square of sides 2p

C.

square of sides (p/2)

D.

square of sides (p/4)

Correct answer is D

Let the rectangle be a square of sides p/4.

So that perimeter of square = 4p
4 x (p/4) = p.