2024 WAEC GCE FIRST SERIES (JANUARY) FURTHER MATHEMATICS: WAEC GCE first series 2024 FURTHER MATHEMATICS ANSWERS (8175)
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Tuesday 7th May, 2019
Further Mathematics/Mathematics (Elective) 2 (Essay) 30mins 09:30 a.m 12:00 noon
Further Mathematics/Mathematics (Elective) 1 (Objective) 30mins 3:30p.m 5:00 p.m.
FURTHER MATHS OBJ:
1-10: AACACBDABC
11-20: DAACCDBDAA
21-30: BCCBABABCC
31-40: BCCBCCDDDD
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No1
NUMBER 1 FINAL ANSWER IS 6/26
====================================
(2a)
Using y2 - y1/x2 - x1
Where y2 = 7, y1 = -5,
X2 = -2, and X1 = 7
7 - -5/-2 - 7
=7+5/-9
=12/-9
=4/-3
Coordinate points :
-4/3(3 : 2)
=-12/3 : -8/3
= -4 : -2⅔
X = (-4, 2⅔)
(2b)
2/1-√2 - 2/2+√2
=2(2+√2)-2(1-√2)/(1-√2)(2+√2)
=4+2√2 - 2+2√2/2+√2-2√2 - 2
=2 + 4√2/-√2
=(2+4√2)(-√2)/-√2(-√2)
= -2√2 - 4(2)/2
= -8 - 2√2/2
= -4 - √2
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No3
(3)
Sn = A/2[2n+(n-1)d]
Where Sn = 165
a = -3, d = 2
165 = A/2[2(-3)+(n-1)2]
165 = n[-6+2n-2]/2
165×2 = n[2n - 8]
330 = 2n
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