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2018 WAEC Further Mathematics Theory And OBJ Answers/Expo/Dubs/Runs
WAEC April 7, 2018 • 3 years ago • One Comment

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👑 2018 MAY/JUNE WAEC FURTHER MATHEMATICS ANSWERS👑

 
100% VERIFIED FURTHER MATHEMATICS OBJ ANSWERS

1-10BCADDDDDBB
11-20BAABCCDDCC
21-30BCABBAABAB
31-40CBADBDDCAB

100% VERIFIED FURTHER MATHEMATICS THEORY ANSWERS
Snapped
1. CLICK HERE OR CLIK HERE
1, 2 & 3. CLICK HERE
4 & 5. CLICK HERE
5. CLICK HERE
6. CLICK HERE
7. CLICK HERE
8. CLICK HERE
8. CLICK HERE
9. CLICK HERE
11a. CLICK HERE
11b. CLICK HERE
12. CLICK HERE
13. CLICK HERE
14. CLICK HERE
15. CLICK HREE
15b. CLICK HERE
Typed

Please Note the below symbols
^ means raise to power
* means multiplication
/ means division

(1)
X-3|2 2| 4|5 2 | 3|5 2|= -24
| -4 6-x| |2 6-x| |2 -4|
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
===================
(2)
Log 3x – 3logx³ 2 = 0
Log 3x – 3log3³/log3x 2 = 0
Log3x – 3/log3x 2 = 0
P – 3/p 2 = 0 where P = log3x
P² – 3 2p = 0
P² 2p – 3 = 0
(p 3) ( p – 1) = 0
P = -3 OR p = 1
But log3x = p
when p = -3
Log3x = -3
X = 3-³ = 1/27
And when P = 1
Log3x = 1
X = 3¹ = 3
And X = 1/27 OR 3
======================
(3a)
U= x-2 ; hence X = u 2
Therefore :
X^3 5/(x-2)^4 = (u 2)^3 5/ (u 2-2)^4
=(u 2)^3 5/u^4
(3b)
(u 2)^3 5/u^4 = (u 2)^3/u^4 5/u^4
=======================
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
=======================
(5)
TABULATE
cooking oil type|a|b|c|d|e|f|g|h
x|8|5|1|7|2|6|3|4
y|6|3|4|8|5|7|1|8
d|2|2|-3|-1|-3|-1|2|2
d²|4|4|9|1|9|1|4|4
£d² = 4 4 9 1 9 1 4 4 = 36
r = 1- 6£d²/n(n²-1)
= 1 – 6×36/8(8²-1)
= 1 – 216/504
= 1 – 0.43
= 0.57
===========================
(6)
It follow that:
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
=======================
(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
===================
(9)
Draw the pie chart diagram (CLICK HERE)
radius is the same hence
(y – 2)² + (X – 3)² = (y + 4)² + (X – 5)² = (y + 1)² + (X + 2)²
Taking the first pair
Y² – 4y + 4 + x² – 6x + 9 = y² + 8y + 16 + x² – 10x + 25
– 6x – 4y + 13 = -10x+8y+41
4x – 12y = 28
X = 3y = 7——–(1)
Taking the second pair
Y² + 3y + 16+x² – 10x+25 = y²+ 2y + 1 + x²+ 4x + 4
-10x + 3y + 41 = 4x + 2y + 5
14x – 6y = 36
7x – 3y = 18———(2)
Eqn 2 minus Eqn 1
6x = 11
X = 11/6
Put this into Eqn (1)
11/6 – 3y = 7
3y = 11/6 – 7
3y = 11 – 42/6
3y = -31/6
y = -31/18
(a) coordinates of centre is (11/6, -31/18)
(b) Radius r = √(y-2)²+(x-3)²
r = √-31/18 -2)² + 11/6 – 3)²
r= √13.85 + 1.36
r = 3.9
(c) (X – 11/6)² + (y + 31/18)² = 3.9²
(X – 11/16)² + (y + 31/18)² = 15.21
========================
(12)
TABULATE
No of head|x 0|12|3|45|6|7|8|9|10
Frequency|f|2|7|23|36|11|61|100|12|8|5|3
Fx| 0|7|46|108|44|305|600|84|64|45|30
Ef = 268 Efx = 1333
(a) mean no heads = Efx/Ef = 1333/268 = 4.97
(b) prob (even no heads) = 23/268 + 11/268 + 100/268 + 8/268 + 3/268
= 145/268
(c) prob (odd as heads) 7/268 + 26/268 + 61/268 + 12/268 + 5/268
= 121/268
======================
(15)
(a)
DRAW THE DIAGRAM (CLICK HERE)
(b)
(2.2) 80(0.6) = 300(1.2) 100 (3)
2.2B 48 = 360 300
2.B 48 = 660
2.2B = 660 – 48
2.2B = 612
Reation at B = 278.18N
Taking moment about B
80(2.1) 300(1) = 2.2A 100 (0.8)
224 300 = 2.3A 80
524 – 80 = 2.2A
A = 444/2.2
Raction a A = 201.82N

=====COMPLETED====

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  1. Great

    Faseyitan matthew Aug 6, 2020 • 8:55 AM •

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