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.

2,906.

The ratio of the number of men to the number of women in a 20 member committee is 3:1. How many women must be added to the 20-member committee so as to make the ratio of men to women 3:2?

A.

2

B.

3

C.

7

D.

9

Correct answer is B

20 members in the ratio 3:1

Number of women = \(\frac{1}{4} \times 20\)

= 5

Let the number of women to be added = x

Total number of members in the committee = 20 + x

\(\frac{5 + x}{20 + x} = \frac{2}{5}\)

\(5(5 + x) = 2(20 + x)\)

\(25 + 5x = 40 + 2x \implies 5x - 2x = 40 - 25\)

\(3x = 15 \implies x = 5\)

2,907.

Points X, Y and Z are located in the same horizontal plane such that Y is 12 km north of X and Z is on a bearing of 270° from X. If |XZ| = 6km, calculate, correct to one decimal place, lYZl

A.

18km

B.

13.4km

C.

13km

D.

10.4km

Correct answer is B

ZY\(^2\) = 12\(^2\) + 6\(^2\)

ZY\(^2\) = 144 + 36 = 180

ZY = \(\sqrt{180}\)

= \(13.416\)

= 13.4 km

 

2,908.

If log 2 = 0.3010 and log 2\(^y\) = 1.8062, find; correct to the nearest whole number, the value of y.

A.

6

B.

5

C.

4

D.

-5

Correct answer is A

\(log2 = 0.3010\hspace{1mm}given\\
log2^y = 1.8062\\
∴ ylog2 = 1.8062\\
y=\frac{1.8062}{logy}=\frac{1.8062}{0.3010}=6\)

2,909.

The length, in cm, of the sides of a right angled triangle are x, (x+2) and (x+1) where x > 0. Find , in cm, the length of its hypotenuse

A.

4

B.

5

C.

13

D.

17

Correct answer is B

\((x + 2)^{2} = x^{2} + (x + 1)^{2}\)

\(x^2 + 4x + 4 = x^2 + x^2 + 2x + 1\)

\(2x^{2} - x^{2} + 2x - 4x + 1 - 4 = 0\)

\(x^{2} - 2x - 3 = 0\)

\(x^{2} - 3x + x - 3 = 0 \implies x(x - 3) + 1(x - 3) = 0\)

\((x - 3)(x + 1) = 0 \implies \text{x = 3 or -1}\)

\(x > 0 \implies x = 3\)

The longest side = 3 + 2 = 5.

2,910.

The diagram is the graph of \(y = 6 + x - x^2\). The graph intercepts the x- axis at P and R and the y- axis at Q.

When \(y = 3\frac{1}{3}\), what is the positive value of x?

A.

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

B.

\( 2\frac{1}{5}\)

C.

\( 1\frac{1}{5}\)

D.

0

Correct answer is B

No explanation has been provided for this answer.