WAEC Further Mathematics Past Questions & Answers - Page 16

76.

Which of the following is the semi-interquartile range of a distribution?

A.

Mode - Median

B.

Highest score - Lowest score

C.

1/2 (Upper Quartile - Median)

D.

1/2 (Upper Quartile - Lower Quartile)

Correct answer is D

"Semi" means "half"
Interquartile range = Upper quartile - Lower quartile

Semi interquartile range = 1
2
( upper quartile - lower quartile )

77.

A straight line makes intercepts of -3 and 2 on the x and y axes respectively. Find the equation of the line.

A.

2x + 3y + 6 = 0

B.

3x - 2y - 6 = 0

C.

-3x 2y - 6 = 0

D.

-2x + 3y - 6 = 0

Correct answer is D

Recall:

  x
a
+ y
b
=1  



Where 'a' and 'b' are the x and y intercept respectively.
 

  x
-3
+ y
2
=1  



2x-3y = -6
2x - 3y + 6 = 0 -------(1)
multiply through by -1
-2x + 3y - 6 = 0

78.

Express \(\frac{4π}{2}\) radians in degrees.

A.

288º

B.

200º

C.

144º

D.

120º

Correct answer is C

\(\frac{4π}{2}\) = \(\frac{4}{5} * 180\)

= 144º

79.

The functions f:x → 2x\(^2\) + 3x -7 and g:x →5x\(^2\) + 7x - 6 are defined on the set of real numbers, R. Find the values of x for which 3f(x) = g(x).

A.

x = -3 or -5

B.

x = -3 or 5

C.

x = 3 or -5

D.

x = 3 or 5

Correct answer is C

f:x → 2x\(^2\) + 3x -7 and

g:x →5x\(^2\) + 7x - 6

If 3f(x) = g(x)

3(2x\(^2\) + 3x -7) = 5x\(^2\) + 7x - 6

6x\(^2\) + 9x - 21 = 5x\(^2\) + 7x - 6

6x\(^2\) - 5x\(^2\) + 9x - 7x - 21 + 6

x\(^2\) + 2x - 15 = 0

x = 3 or -5

80.

Consider the following statement:

x: All wrestlers are strong

y: Some wresters are not weightlifters.

Which of the following is a valid conclusion?

A.

All strong wrestlers are weightlifters

B.

Some strong wrestlers are not weightlifters

C.

Some weak wrestlers are weightlifters

D.

All weightlifters are wrestlers

Correct answer is B

No explanation has been provided for this answer.