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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.

81.

Simplify 93n+13n+23n+13n

A.

3

B.

9

C.

27

D.

81

Correct answer is B

93n+13n+23n+13n

= 3n3n3132323n313n

3n(3231)3n(311)

27931

182

= 9

82.

If log10(3x+1)+log104=log10(9x+2), find the value of x 

A.

13

B.

1

C.

2

D.

3

Correct answer is C

log10(3x+1)+log104=log10(9x+2)

log104(3x+1)=log10(9x+2)

4(3x+1) = 9x + 2

12x -4 = 9x + 2

12x - 9x = 2 + 4

3x = 6

x = 2

83.

(365+5435)1

A.

536

B.

3156

C.

5612

D.

5312

Correct answer is C

(365+5435)1

= 5(35)36+36

= 3566=526

= 52626+26=10646

= 5612

84.

A binary operation ∆ is defined on the set of real numbers R, by x∆y = x+yxy4, where x, yER. Find the value of 4∆3

A.

16

B.

8

C.

4

D.

2

Correct answer is D

x∆y = x+yxy4

4∆3 = 4+3434 

4+33

4

= 2.

85.

The table shows the distribution of marks obtained by some students in a test

Marks 0-9 10-19 20-29 30-39 40-49
Frequency 4 12 16 6 2

 

Find the modal class mark.

A.

4.5

B.

14.5

C.

24.5

D.

34.5

Correct answer is C

Modal class 20 - 29

Modal class mark = 20+292

492

= 24.5