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WAEC Mathematics Past Questions & Answers - Page 332

1,657.

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}

1,659.

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

ΔRPS = Isosceles triangle

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

= 45°

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

= 30°

\therefore < QPS = 30° + 45° = 75°

1,660.

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