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WAEC Mathematics Past Questions & Answers - Page 209

1,041.

Find the value of x in 0.5x + 2.6 = 5x + 0.35

0.5

2.6

View answer & explanation

Correct answer is A

$0.5x + 2.6 = 5x + 0.35\\ 0.5x - 5x = 0.35-2.6\\ -4.5x = -2.25\\ x = \frac{-2.25}{-4.5}\\ 0.5$

1,042.

Given that P = {b, d, e, f} and Q = {a, c, f, g} are subsets of the universal set U = {a,b, c, d, e, f, g}. Find P' ∩ Q

{a,c}

{a, c, d, g}

{c, d, g}

{a, c, g}

View answer & explanation

Correct answer is D

U = {a, b, c, d, e, f, g} P = {b, d, e, f} Q = {a, c, f, g} P' = {a, c, g} P' ∩ Q = {a, c, g}

1,043.

The variance of a given distribution is 25. What is the standard deviation?

125

View answer & explanation

Correct answer is D

S.D = $\sqrt{Variance}$

= $\sqrt{25}$

= 5

1,044.

Simplify $5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)$

$1\frac{3}{4}$

$3\frac{1}{2}$

$4\frac{1}{2}$

$8\frac{1}{2}$

View answer & explanation

Correct answer is C

$5\frac{1}{4}\div \left(1\frac{2}{3}- \frac{1}{2}\right)\\ \frac{21}{4}\div \left(1\frac{4-3}{6}\right)\\ \frac{21}{4}\div \left(1\frac{1}{6}\right)\\ \frac{21}{4} \times \frac{6}{7}= 4\frac{1}{2}$

1,045.

In the diagram above, ∠PQU=36°, ∠QRT = 29°, PQ||RT. Find ∠PQR

94^o

65^o

61^o

54^o

View answer & explanation

Correct answer is B

< UQR = 29° (alternate angles)

< PQR = < PQU + < UQR

= 36° + 29°

= 65°

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