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.

3,532.

If Q = (all perfect squares less than 30) and P = (all odd numbers from 1 to 10). Find Q ∩ P.

A.

(1, 4, 9, 16, 25)

B.

(1, 3, 4, 5, 7, 9, 16, 25)

C.

(1, 3, 5, 7, 9)

D.

(1, 9)

E.

Φ

Correct answer is D

Q = {1, 4, 9, 16, 25} P = { 1, 3, 5, 7, 9}
Q ∩ P = { 1, 9}

3,534.

In the diagram above, PR is perpendicular from P to QS, PQ = 2cm, QR = 1cm and PR = RS. what is the size of the angle QPS?

A.

135o

B.

105o

C.

90o

D.

75o

E.

60o

Correct answer is D

\(\Delta RPS\) = Isosceles triangle

\(\therefore < RPS = \​​​​​​​frac{180° - 90°}{2}\)

= 45°

In \(\Delta QPR\),\(\sin < QPR = \frac{1}{2}\)

= 30°

\(\therefore < QPS = 30° + 45° = 75°\)

3,535.

A rope of length 18m is used to form a sector of a circle of radius 3.5m on a school playing field. What is the size of the angle of the sector, correct to the nearest degree?

A.

33o

B.

40o

C.

90o

D.

180o

E.

270o

Correct answer is D

Circumference = 2πr
2 x 22/7 x 3.5 ≅ 22m
22m = 360o
11m = 360/22 x 11  = 180o