**WAEC GCE Further Mathematics questions and answers 2022/2023 Essay and objectives. Download WAEC GCE further maths expo. The Lates Updates on Further Mathematics WAEC GCE Questions and Answers for Paper 1 and 2 are below.**

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WAEC GCE Further Maths Questions and Answers 2022

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## Further Mathematics Essay WAEC GCE Questions and Answers PDF

1a)

8m + 2³m = 1/4

2²m + 2²m = 2-²

4³m = 2-²

Equate the base

6m = – 2

m = -2/4 = -1/3

1b)

log15 base 4 = x

x = log15 base/log4 base 10 = 1.1761/0.6020

= 1.9536

therefore x approximately 1.954

========

2a)

(-2) = m(-2)² + n(-2)+2=0

4m-2n = – – – – – – – – (1)

F(1) = m(1)²+n(1)+2=3

m+n+2=3

m+n=3-2

m+n=1 – – – – – – – – – – – -(2)

X Equate (2) by 4

4m+4n=4 – – – – – – – – – – (3)

4m-2n= -2

-4m+4n=4/-6n = – 6

n=1

============

4)

Given y= 5/x² + 3

Y = 5(x² +3)-1

dy/dx = anxn-1

y = 5(x² + 3)-1

dy = 5(-1) (x2 +3)-1^1

dy/dx = 10x (x² + 3)-²

dy/dx = – 10/(x² +3)²

============

5a)

^nP5 ÷ ^nC4 = 24

n!/(n-5)! ÷ n!/(n-4)!4! =24

n!/(n-5)! * (n-4)!4!/n! =24

(n-4)!4!/(n-5)!=24

(n-4)(n-5)!4!/(n-5)! = 24

n-4=1

n=4+1

n=5

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