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WAEC Mathematics Past Questions & Answers - Page 262

1,306.

Two towns X and Y both on latitude 60^oS have longitude 27^oE and 33^oW respectively. Find to the nearest kilometers, the distance between X and Y measured along the parallel of latitude. [Take 2πR = 4 x 10⁴km, where R is the Radius of the earth]

28850km

16667km

8333km

6667km

3333km

View answer & explanation

Correct answer is E

No explanation has been provided for this answer.

1,307.

One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?

80cm²

48cm²

40cm²

36cm²

24cm²

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,308.

Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]

503.0cm³

300.0cm³

250.0cm³

226.2cm³

150.9cm³

View answer & explanation

Correct answer is D

Volume = $\pi$ r²h = 3.142 x 3 x 3 x 8

=72 x 3.142 = 226.2cm³

1,309.

If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?

1/√2

√2 - 1

√2

√3

View answer & explanation

Correct answer is D

An Isosceles Right Triangle is a right triangle that consists of two equal length legs.

i.e opp = adj

hyp $^2$ = adj $^2$ + opp $^2$

2 $^2$ = x $^2$ + x $^2$

4 = 2x $^2$

2 = x $^2$

√2 = x

1,310.

In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?

[Take π = 22/7].

148¹/₂cm²

77cm²

32¹/₁₂cm²

6⁵/₁₂cm²

1⁵/₆cm²

View answer & explanation

Correct answer is D

Area of sector = $\frac{\theta}{360°} \times \pi r^2$

= $\frac{60}{360} \times \frac{22}{7} \times 3.5 \times 3.5$

= $\frac{77}{12}$

= $6\frac{5}{12}$ cm $^2$

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