WAEC Mathematics Past Questions & Answers - Page 28

136.

In the diagram, O is the centre of the circle. If < NLM = 74\(^o\), < LMN = 39\(^o\) and < LOM = x, find the value of x. 

A.

134\(^o\)

B.

126\(^o\)

C.

113\(^o\)

D.

106\(^o\)

Correct answer is A

L\(N\)M = 180\(^o\) - (74\(^o\) + 39\(^o\)) 

180\(^o\) - 113\(^o\) 

= 67\(^o\)

L\(^O\)

M = x = 2 x 67\(^o\) 

= 134\(^o\)

137.

If (x + 2) is a factor of x\(^2\) +px - 10, find the value of P. 

A.

3

B.

-3

C.

7

D.

-7

Correct answer is B

x + 2 = 0

x -2

x\(^2\) = px - 10 = 0

(-2)\(^2\) - 2p - 10 = 0

4 - 2p - 10 = 0

\(\frac{-2p}{-2} = \frac{6}{-2}\) \(\to\) p = -3

139.

The graph of the equations y = 2x + 5 and y = 2x\(^2\) + x - 1 are shown. Use the information above to answer this question.

Find the point of intersection of the two graphs.

A.

(2.0, 9.0) and (-1.5, 2.0)

B.

(2.0, 8.5) and (-1.5, 2.0)

C.

(2.0, 8.0) and (-1.5, 2.5)

D.

(2.0, 7.5) and (-1.5, 2.5)

Correct answer is A

The point of intersection are (2.0, 9.0) and (-1.5, 2.0)

140.

The interquartile range of distribution is 7. If the 25th percentile is 16, find the upper quartile.

A.

35

B.

30

C.

23

D.

9

Correct answer is C

Q\(_3\) - Q\(_1\) = 7

Q\(_3\) - 16 = 7

Q\(_3\) - 7 + 16

= 23