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.

1,026.

51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?

A.

\(\frac{10}{17}\)

B.

\(\frac{7}{17}\)

C.

\(\frac{20}{51}\)

D.

\(\frac{3}{17}\)

E.

\(\frac{1}{51}\)

Correct answer is B

No of women wearing both purple and white shoes = 21 + 9

= 30 women.

No of women wearing neither purple nor white shoes = 51 - 30

= 21 women

\(\therefore\) Probability of picking a woman wearing neither purple nor white shoes 

= \(\frac{21}{51}\)

= \(\frac{7}{17}\).

1,027.

The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)

A.

14 cm\(^3\)

B.

210 cm\(^3\)

C.

1,400 cm\(^3\)

D.

2,100 cm\(^3\)

E.

4,300 cm\(^3\)

Correct answer is C

\(Surface area (A) = 4\pi r^{2} = 616m^{2}\)

solving, we have

\(r = 7m\)

\(Volume = \frac{4}{3}\pi r^{3}\)

\(Volume = \frac{4\times 3.142 \times 7^{3}}{3}\)

\(Volume = \frac{4310.824}{3}\)

= \(1436.941m^{3} \approxeq 1400m^{3}(2 sig. fig)\)

1,028.

In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree.

A.

57°

B.

45°

C.

33°

D.

16°

E.

89°

Correct answer is B

No explanation has been provided for this answer.

1,029.

Find the value of x in the equation: 9x = 729

A.

81

B.

27

C.

18

D.

9

E.

3

Correct answer is A

No explanation has been provided for this answer.

1,030.

Simplify \(\sqrt{6a} \times \sqrt{576a^6}\)

A.

± 16a2

B.

± 16a

C.

± 14a2

D.

± 12a2

E.

± 12a

Correct answer is D

No explanation has been provided for this answer.