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.

3,466.

In the diagram above, O is the center of the circle with radius 10cm, and ∠ABC = 30°. Calculate, correct to 1 decimal place, the length of arc AC [Take π = 22/7]

A.

5.2cm

B.

10.5cm

C.

13.2cm

D.

20.6cm

E.

31.4cm

Correct answer is B

In the figure, < AOC = 2 x < ABC = 60° (angle subtended at the centre)

\(\therefore\) Arc AC = \(\frac{60}{360} \times 2 \times 10 \times 3.14\)

= \(\frac{31.4}{3}\)

= 10.466 cm \(\approxeq\) 10.5 cm

3,467.

The area shaded with horizontal lines is the solution set of the inequalities;

A.

y ≥ x, y + 3 ≥ 2x, x ≤ 3

B.

y ≤ x, y + 2x ≥ -3, x ≤ 3

C.

y ≤ -x, y + 2x ≤ 3, x ≥ -3

D.

y ≥ -x, y + 3 ≤ 2x, x ≥ -3

E.

y ≤ x, y ≤ 2x - 3, x ≥ 3

Correct answer is B

No explanation has been provided for this answer.

3,468.
3,469.

Let J be the set of positive integers, If H = {x: x∈J, x\(^2\) < 3 and x ≠ 0}, then

A.

H = {1}

B.

H is an infinite set

C.

H = {0, 1, 2}

D.

H = {}

E.

J ≤ H

Correct answer is A

H = {x: x is a positive integer, x\(^2\) < 3 and x \(\neq\) 0}

H = {1}

3,470.

Find the sum of the first five terms of the G.P 2,6, 18 ....

A.

484

B.

243

C.

242

D.

130

E.

121

Correct answer is C

\(S_{n} = \frac{a(r^n - 1)}{r - 1}\)

a = 2; r = 6/2 = 3.

\(S_{5} = \frac{2(3^5 - 1)}{3 - 1}\)

= \(243 - 1 = 242\)