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.

2,046.

What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3?

A.

\(\frac{7}{10}\)

B.

\(\frac{3}{5}\)

C.

\(\frac{4}{5}\)

D.

\(\frac{3}{10}\)

Correct answer is B

Simple Space: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10 = 10)

Prime: (2, 3, 5, 7)

multiples of 3: (3, 6, 9)

Prime or multiples of 3: (2, 3, 5, 6, 7, 9 = 6)

Probability = \(\frac{6}{10}\)

= \(\frac{3}{5}\)

2,047.

Without using table, calculate the value of 1 + sec2 30o

A.

2\(\frac{1}{3}\)

B.

\(\frac{2}{15}\)

C.

\(\frac{5}{3}\)

D.

3\(\frac{1}{2}\)

Correct answer is A

1 + sec2 30o = sec 30o

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

\(\frac{(2)^2}{3}\)

= \(\frac{4}{3}\)

1 + sec2 30o = sec 30o

= 1 + \(\frac{4}{3}\)

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

2,048.

The bearing of a bird on a tree from a hunter on the ground is N72oE. What is the bearing of the hunter from the birds?

A.

S 18o W

B.

S 72o W

C.

S 72o E

D.

S 27o E

E.

S 27o W

Correct answer is B

B = Bird ; H = Hunter.

Bearing of the hunter from the bird = S 72° W.

2,049.

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?

A.

234.00 cm3

B.

526.50 cm3

C.

166.00 cm3

D.

687cm3

Correct answer is A

Let x represent total vol. 2 : 3 = 2 + 3 = 5

\(\frac{3}{5}\)x = 351

x = \(\frac{351 \times 5}{3}\)

= 585

Volume of smaller block = \(\frac{2}{5}\) x 585

= 234.00cm\(^3\)

2,050.

If two fair coins are tossed, what is the probability of getting at least one head?

A.

\(\frac{1}{4}\)

B.

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

C.

1

D.

\(\frac{43}{78}\)

E.

\(\frac{3}{4}\)

Correct answer is E

Prob. of getting at least one head

Prob. of getting one head + prob. of getting 2 heads

= \(\frac{1}{4}\) + \(\frac{2}{4}\)

= \(\frac{3}{4}\)