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# Original! WAEC Further Mathematics Questions 2018 Confirmed OBJ And Theory Answers

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Original! WAEC Further Mathematics Questions 2018 Confirmed OBJ And Theory Answers. (1)
X-3|2 2|+4|5 2 |+3|5 2|= -24
| -4 6-x| |2 6-x| |2 -4|

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X-3(12-2x+8)+4(30-5x-4)+3(-20-4) = -24
X-3(20-2x)+4(26-5x)+3(-24)= -24
20x – 2x² – 60 + 6x + 104 – 20x – 72 = -24
-2x² + 6x – 60+104-72+24 = 0
-2x² + 6x – 4 = 0
Divide through by -2
X² – 3X + 2 = 0
X² – 2X – X + 2= 0
X(X-2)-1(X-2)=0
(X – 1)(X – 2)=0
X=1 OR X=2

(6)
P(n) = 1/3 and p(k)¹ = 1 – 1/3 = 2/3
P(T) = 1/5 and P(T)¹ = 1- 1/5 = 4/5

Hence,
probability that only one if the them will be solve the questions will be:

= (1/3 × 4/5) + (1/5 × 2/3)
= 4/15 + 2/15
= 6/15
= 2/5

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(7)
m = 3i – 2j ; n = 2i + 3j ; p = i + 6j

Therefore:
4(3i – 2j) +2(2i +3j) -3(-i + 6j)
12i – 8j + 4i + 6j + 3i – 18j
12i + 4i + 3i – 8j + 6j – 18j
19i = 20j

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(8)
m1 = 20kg
u1 = 8ms-1
m2 = 30kg
u2 = 50ms-1

(a)
In same direction
m1u1 + m2u2 = (m1+m2)v
20 × 80 + 30 × 50 = (20+30)v
1600+1500 = 50v
3100/50 = 50/50
V = 62ms-1

(b)
In opposite direction
m1u1 – m2u2 = (m1 + u2)V
20×30 – 30×50 = (20+30)V
1600 – 1500 = 50V
100/50 = 50V/50
V = 2m/s         Don’t miss the next subject, click here for other subjects

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