Further Mathematics questions and answers

Further Mathematics Questions and Answers

Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.

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.