WAEC Mathematics Past Questions & Answers - Page 254

1,266.

Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π

A.

64πcm²

B.

12Oπcm²

C.

184πcm²

D.

200πcm²

E.

32Oπcm²

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,267.

The length of the two parallel sides of trapezium are 6cm and 10cm and the perpendicular distance between them is 5cm. Find the area of the trapezium

A.

21cm²

B.

4Ocm²

C.

8Ocm²

D.

150cm²

E.

300cm²

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,268.

Two points P and Q are on longitude 67°W. Their latitudes differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km).

A.

6400πkm

B.

6400km/π

C.

3200πkm

D.

3200km

E.

3200km/π

View answer & explanation

Correct answer is C

P(67°W, 0°N)
Q(67°W 90°N), R = 6400km

Distance PQ =

90/360 x 2 x 6400 π

= 3200πkm

1,269.

In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ

A.

9cm

B.

12cm

C.

14cm

D.

19.85cm

E.

23cm

View answer & explanation

Correct answer is C

XM = √13² - 5² = 12cm

MZ = 15² - 12² = 9cm
YZ = 9 + 5 = 14cm

1,270.

P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9

A.

729/16

B.

6

C.

4

D.

16/9

E.

4/3

View answer & explanation

Correct answer is D

P α 1/w²; P = K/W²
9 = K/4²; 9 = K/16
K = 9 x 16 = 144
P = K/W²; when w = 9
P = 144/9² = 144/81 = 16/9

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