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WAEC Mathematics Past Questions & Answers - Page 203

1,011.

Factorize m(2a-b)-2n(b-2a)

(2a-b)(2n-m)

(2a+b)(m-2n)

(2a-b)(m+2n)

(2a-b)(m-2n)

View answer & explanation

Correct answer is C

m(2a - b) - 2n(b - 2a)

= m(2a - b) - (-2n)(2a - b)

= m(2a - b) + 2n(2a - b)

= (m + 2n)(2a - b)

1,012.

Simplify $3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}$

$7\sqrt{3}$

$10\sqrt{3}$

$14\sqrt{3}$

$18\sqrt{3}$

View answer & explanation

Correct answer is C

$3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}$

= $3(\sqrt{4 \times 3}) + 10\sqrt{3} - (\frac{6}{\sqrt{3}})(\frac{\sqrt{3}}{\sqrt{3}})$

= $6\sqrt{3} + 10\sqrt{3} - 2\sqrt{3}$

= $14\sqrt{3}$

1,013.

The volume of a cylinder of radius 14cm is 210cm³. What is the curved surface area of the cylinder?

15cm²

30cm²

616cm²

1262cm²

View answer & explanation

Correct answer is B

$V = \pi r^2 h\\ 210 = \frac{22}{7} \times 14^2 \times h \\ h = \frac{210}{22 \times 28}$
Curved surface area $= 2r\pi h\\ = 2 \times \frac{22}{7} \times 14 \times \frac{210}{22 \times 26} = 30cm^2$

1,014.

The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find, correct to 2 decimal places, |PQ|.

35.75m

25.00m

22.98m

19.28

View answer & explanation

Correct answer is A

$\tan 40° = \frac{30}{|PQ|}$

$|PQ| = \frac{30}{\tan 40°} = \frac{30}{0.839}$

= 35.75m

1,015.

In the diagram, |SR| = |RQ| and ∠PRQ = 58^o ∠VQT = 19^o, PQT, SQV and PSR are straight lines. Find ∠QPS

42^o

39^o

38^o

30^o

View answer & explanation

Correct answer is A

No explanation has been provided for this answer.

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