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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.

411.

If 3xC2=15, find the value of x?

A.

2

B.

4

C.

5

D.

6

Correct answer is A

3xC2=3x(3x1)(3x2)!(3x2)!2!=15

3x(3x1)=309x23x30=0

9x218x+15x30=9x(x2)+15(x2)=0

(9x+15)(x2)=0

x = 2.

412.

Marks 5-7 8-10 11-13 14-16 17-19 20-22
No of students 4 7 26 41 14 8

The table above shows the distribution of marks of students in a class. Find the upper class boundary of the modal class.

A.

13.5

B.

16

C.

16.5

D.

22.5

Correct answer is C

The modal class = 14 - 16

The upper class boundary = 16+172=332=16.5

413.

Find the standard deviation of the numbers 3,6,2,1,7 and 5.

A.

2.00

B.

2.16

C.

2.50

D.

2.56

Correct answer is B

x 3 6 2 1 7 5 Total = 24
xˉx -1 2 -2 -3 3 1  
(xˉx)2 1 4 4 9 9 1 28

ˉx=246=4

S.D=(xˉx)2n

= 286=4.667=2.16

414.

In how many ways can 3 prefects be chosen out of 8 prefects?

A.

6

B.

24

C.

56

D.

336

Correct answer is C

= 8C3=8!(83)!3!

= 8×7×63×2

= 56 ways

415.

The probability that Kofi and Ama hit a target in a shooting competition are 16 and 19 respectively. What is the probability that only one of them hit the target?

A.

154

B.

1354

C.

2027

D.

4154

Correct answer is B

P(only one hit target) = P(Kofi not Ama) + P(Ama not Kofi)

P(Kofi not Ama) = P(Kofi and Ama') = 16×89=854

P(Ama not Kofi) = P(Ama and Kofi') = 19×56=554

P(only one hit target) = 854+554=1354