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.

1,056.

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

\(r = 7m\)

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

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

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

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

1,057.

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.

1,058.

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.

1,059.

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.

1,060.

Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour

A.

\(\frac{119}{144}\)

B.

\(\frac{95}{144}\)

C.

\(\frac{37}{72}\)

D.

\(\frac{49}{144}\)

E.

\(\frac{1}{6}\)

Correct answer is C

No explanation has been provided for this answer.