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WAEC Mathematics Past Questions & Answers - Page 175

871.

Simplify: $\frac{2}{3xy} - \frac{3}{4yz}$

$\frac{2-x}{12xyz}$

$\frac{2z-3x}{12xyz}$

$\frac{4z-3x}{12xyz}$

$\frac{8z-9x}{12xyz}$

View answer & explanation

Correct answer is D

$\frac{2}{3xy} - \frac{3}{4yz} = \frac{2(4)-3(3x)}{12xyz} = \frac{8z-9x}{12xyz}$

872.

A regular polygon has 9 sides. What is the size of one of its exterior angles?

20^o

40^o

90^o

140^o

View answer & explanation

Correct answer is B

Exterior angle $=\frac{360}{n}$ where n = no of sides
$=\frac{360}{9}=40^{\circ}$

873.

The salary of a man was increased in the ratio 40:47. calculate the percentage increase in the salary

85.1%

58.5%

17.5%

14.9%

View answer & explanation

Correct answer is C

$\%Increase = \frac{Actual \hspace{1mm}increase}{initial \hspace{1mm}ratio}\times 100\%$
Actual increase = 7; Initial ratio = 40
$=\left(\frac{7}{40} \times 100\%\right)=\frac{35}{2}=17.5\%$

874.

A train moving at a uniform speed covers 36km in 21 minutes. How long does it take to cover 60km?

35 mins

40 mins

45 mins

90 mins

View answer & explanation

Correct answer is A

Since 36km in 21 minutes
1km in $\frac{21}{36}$ minutes
60km in $\left(\frac{21}{36}\times 60\right)$ minutes = $\frac{70}{2}$ min
= 35 mins

875.

P = {3, 9, 11, 13} and Q = {3, 7, 9, 15} are subset of the universal set ξ = {1, 3, 7, 9, 11, 13, 15} find P^I ∩ Q^I

{3, 9}

{5, 7, 9}

{1}

{1, 11}

View answer & explanation

Correct answer is C

P^I = {1, 7, 15} ; Q^I = {1, 13, 11}
P^I ∩ Q^I = {1}

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