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.

1,456.

The bearing of a point P from another point Q is 310o. If |PQ| = 200m, how far west of Q is P?

A.

128.6m

B.

153.2m

C.

167.8m

D.

187.9m

Correct answer is B

cos 40 = \(\frac{x}{200}\)

x - 200 x cosx

= 200 x 0.7660

x = 153.2m

1,457.

Q is 32 km away from P on a bearing 042o and R is 25km from P on a bearing of 132o. Calculate the bearing of R from Q.

A.

122o

B.

184o

C.

190o

D.

226o

Correct answer is B

No explanation has been provided for this answer.

1,458.

Divide the sum of 8, 6, 7, 2, 0, 4, 7, 2, 3, by their mean

A.

9

B.

8

C.

7

D.

6

Correct answer is A

Sum = 8 + 6 + 7 + 2 + 0 + 4 + 7 + 2 + 3 = 39

mean = \(\frac{39}{9}\) = 4.33

then \(\frac{sum}{mean}\) = \(\frac{39}{4.33}\)

= 9

1,459.

The table shows the ages(in years) of twenty children chosen at random from a community. What is the median of the distribution? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)

A.

3.5 years

B.

3.0 years

C.

2.5 years

D.

2.0 years

Correct answer is A

Median = (\(\frac{n + 1}{2})^{th}\)

= \(\frac{20 + 1}{2} = \frac{21}{2}\)

= 10.5

= \(\frac{{\text{10th term and 11th term}}}{2}\)

= \(\frac{3 + 4}{2} = \frac{7}{2}\)

= 3.5yrs

1,460.

The table shows the ages(in years) of twenty children chosen at random from a community. What is the mean age? \(\begin{array}{c|c} Age(years) & 1 & 2 & 3 & 4 & 5 \\ \hline {\text {Number of children}} & 2 & 3 & 5 & 6 & 4 \end{array}\)

A.

4.46 years

B.

3.35 years

C.

3.30years

D.

3.00 years

Correct answer is B

Mean(age) = \(\frac{(1 \times 2) + (2 \times 3) + (3 \times 5) + (4 \times 6) + (5 \times 4)}{2 + 3 + 5 + 6 + 4}\)

= \(\frac{2 + 6 + 15 + 24 + 20}{20}\)

= \(\frac{67}{20}\)

= 3.35yrs