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.
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.
In how many ways can a committee of 3 women and 2 men be chosen from a group of 7 men and 5 women?
500
350
720
210
Correct answer is D
For choosing, its different 'combinations'
Options - 7 men, 5 women
To pick - 2 men, 3 women
∴ The number of ways to choose a committee of 3 women and 2 men from a group of 7 men and 5 women is:
=5C3×7C2
=5×4×33×2×7×62×1
=10×21
=210
An exponential sequence (G.P.) is given by 92,34,18,....Find its sum to infinity
525
415
1312
634
Correct answer is A
Sum to infinity of a G.P when /r/ < 1 = a1−r
a = 92,r=T2T1=34+92
r = 34×29=16
S∞=921−16=9256=275
∴
2.0
3.0
2.5
4.0
Correct answer is C
∑ clock wise moments =∑ anti clock wise moments
= 60 x 10 = 30 x m
= 600 = 30 m
m = \frac{600}{30} = 20 N
W = mg ==> m = \frac{W}{g}
∴ m = \frac{20}{10} = 2kg
If f : x → 2 tan x and g : x → √(x^2 + 8), find ( g o f )(45^o)
4
2√3
6
3√2
Correct answer is B
f : x → 2 tan x
g : x → √(x^2 + 8)
( g o f ) = √((2 tan x)^2 + 8)
( g o f )(45º) = √((2 tan 45º)^2 + 8)
= √(4 + 8) = √12
= √(4 x 3)
∴ 2√3