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WAEC Mathematics Past Questions & Answers - Page 187

931.

What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take π=227)

A.

38.5cm3

B.

77cm3

C.

269.5cm3

D.

1078cm3

Correct answer is C

Volume of a solid cylinder = Base area x height
Base area =πr2=227×72×72=772
Volume of a solid cylinder = 772×71=5392cm3=269.5cm3

932.

Factorise 27p2x2 - 48y2.

A.

9(3px - 4y)2

B.

3(3px - 4y)(3px - 4y)

C.

9(px - 4y)(3p x + 4y)

D.

3(3px -4y)(3px +4y)

Correct answer is D

27p2x2 - 48y2; 3(32 p2x2-42y2)
3[(3px) 2 - (4y) 2]; 3[(3px-4y)(3px+4y)]

933.

In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|

A.

5.6 cm

B.

11.2cm

C.

11.4cm

D.

28.0cm

Correct answer is A

PQPR=XZXY;PQ8=3.55PQ=8×3.55=285=5.6cm

934.

Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24.

A.

23.00

B.

17.29

C.

16.50

D.

16.33

Correct answer is B

Mean =sumofallthenumbersTotalNumber9+13+16+17+19+23+2471217=17.2857=17.29

935.

Solve the equation 10-3x-x2 = 0

A.

x=2 or-5

B.

x= -2 or 5

C.

x = 1 or 10

D.

x = 2 or 5

Correct answer is A

10 – 3x - x2 = 0; 10 – 5x + 2x - x2 = 0
5(2 – x) + x(2 – x) = 0; (2 – x)(5 + x) = 0
2 – x = 0 or 5 + x = 0; x = 2 or x = -5