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## Real and Confirmed WAEC 2018 Further Mathematics Questions and Expo Answer – May/June Expo

Verified WAEC 2018 may/June Further Mathematics OBJ and Essay questions and answers guidelines

*2018 WAEC MAY/JUNE FURTHER MATHS OBJ AND THEORY*

^ means raise to power
* means multiplication
/ means division

(1)

| x-3  -4  3 |
| 5     2   2 |       = -24
| 2   -4 6-x |

(x-3)[2(6-x) +8]+4[5(6-x) -4]+3(-20-4)  =-24
(x-3)[-2x+20]+4[-5x+26]+3(-24)= -24
-2x^2+26x-60-20x+104-72= -24
-2x^2+6x-4=0
X^2-3x+2=0
X^2-2x-x+2=0
X(x-2)-1(x-2)=0
(x-1)(x-2)=0
X-1=0 OR x-2=0
X=1 OR x=2

No 4
Sn = n/2[2a+(n-1)d]
S12 = 12/6[2a + 11d]
S12= 6[2a + 11d] = 168
2a + 11d = 28——-(1)
Also
T3 = a + 2d = 7———(2)
Multiplying 1 by 2
2a + 4d = 14
Eqn 1 minus  Eqn 3 gives
7d = 14
d = 2
Putting this in eqn 2
a + 2(2) = 7
a + (4)  = 7
a = 7 – 4
a = 3
Common difference = 2
First term  = 3
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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

(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