2024 WAEC MATHEMATICS: Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS (8064)

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Monday 17th August 2020
General mathematics(core) 2(Essay) – 9:30am – 12:00noon (2hrs 30mins)
General mathematics(core) 2(objective) – 3:00pm – 4:30pm
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KEEP REFRESHING THIS PAGE IN EVERY 5 MINUTES STARTING FROM 1HR TO THE EXAM

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MATHS OBJ
1-10: CBCDACDCCD
11-20: AADBDACBBC
21-30: BDDABDCDAD
31-40: CBACCCCCDA
41-50: BBBCDCACDB

 

COMPLETED



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Welcome to official midnight 2023 Mathematics (maths) questions and answers page

(1a)
Given A={2,4,6,8,...}
B={3,6,9,12,...}
C={1,2,3,6}
U= {1,2,3,4,5,6,7,8,9,10}

A' = {1,3,5,7,9}
B' = {1,2,4,5,7,8,10}
C' = {4,5,7,8,9,10}
A'nB'nC' = {5, 7}

(1b)
Cost of each premiere ticket = $18.50
At bulk purchase, cost of each = $80.00/50 = $16.00

Amount saved = $18.50 - $16.00
=$2.50

Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS 2024 WAEC MATHEMATICS: Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS (8064) Welcome to official 2024 Mathematics WAEC answer page. We provide 2024 Mathematics WAEC Questions and Answers on Essay, Theory, OBJ midnight before the exam, this is verified & correct WAEC Maths Expo

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(2ai)
P = (rk/Q - ms)?
P^3/2 = rk/Q - ms
rk/Q = P^3/2 + ms
Q= rk/P^3/2 + ms

(2aii)
When P =3, m=15, s=0.2, k=4 and r=10
Q = rk/p^3/2 + ms = 10(4)/(3)^3/2 + (15)(0.2)
= 40/8.196 = 4.88(1dp)

(2b)
x + 2y/5 = x - 2y
Divide both sides by y
X/y + 2/5 = x/y - 2
Cross multiply
5(x/y) - 10 = x/y + 2
5(x/y) - x/y = 2 + 10
4x/y = 12
X/y = 3
X : y = 3 : 1

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(3a)
Draw the diagram

CBD = CDB(Base angles of an issoceles triangle)
BCD + CBD + CDB = 180°(sum of angles in a triangle)
2CDB + BCD = 180°
2CDB + 108° = 180°
2CDB = 180° - 108° =72°
CDB = 72/2 = 36°
BDE = 90°(angle in a semi-circle)
CDE = CDB + BDE
= 36° + 90°
= 126°

(3b)
(CosX)² - SinX/(SinX)²+ CosX
Using Pythagoras theorem, third side of triangle
y² = 1² + |3²
y² = 1 + 3 = 4
y = square root e = 2
Cos X = 1/2(adj/hyp)
Sin X = root 3/2(opp/hyp)
(CosX)² - SinX/(SinX)² + CosX
= (1/2)² - root3/2 / (root3/2)² + 1/2
= 1/4 - root3/2 / 3/4 + 1/2
= 1 - 2root3/4 / 3+2/4
= 1-2root3/5

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(4a)
Given: r : l = 2 : 5 (ie l = 5/2r)
Total surface area of cone =πr² + url
224π = π(r² + r(5/2r))
224 = r² + 5/2r²
224 = 7/2r²
7r² = 448
r² = 448/7 = 64
r = root 64 = 8.0cm

(4b)
L = 5/2r = 5/2 × 8 = 20cm
Using Pythagoras theorem
L² = r² + h²
h² = l² - r²
h² = 20² - 8²
h² = (20 + 8)(20 - 8)
h² = 28 × 12
h = root28×12
h = 18.33cm

Volume of cone = 1/3πr²h
= 1/3 × 22 × 7 × 8² × 18.33
=1229cm³

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(5a)
Prob(2) = no of 2s/Total outcomes
0.15 = m/32+m+25+40+28+45
0.15 = m/m + 170
m = 0.15m + 25.5
m - 0.15m = 25.5
0.85m = 25.5
m = 25.5/0.85 = 30

(5b)
Number of times dice was rolled = m + 170
= 30 + 70
= 200

(5c)
Prob(even number) = no of even numbers/Total outcome
= m+40+45/200
=30+40+45/200
=115/200
= 23/40 = 0.575
Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS 2024 WAEC MATHEMATICS: Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS (8064) Welcome to official 2024 Mathematics WAEC answer page. We provide 2024 Mathematics WAEC Questions and Answers on Essay, Theory, OBJ midnight before the exam, this is verified & correct WAEC Maths Expo

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(7a)
Total surface area = url + 2πr²
=πr(l + 2r)

Draw the diagram
From pythagoras theorem
Hyp² = Adj² + Opp²
L² = 14² + 48²
L² = 196 + 2304
L² = 2500
L = /2500 = 50m

=πr(L + 2r)
= 22/7 ×14(50 + 2(14))
= 44(50 + 28)
= 3432m²
Total surface area = 3432m²
~3430m²(to 3s.f)

(7b)
Five years ago,
Let Musa's age = x
Let Sesay's age = y
X - 5 = 2(Y - 5)
X - 5 = 2y - 10
X - 2y = 5 - 10
X - 2y = -5 ..... (1)
-X + y = 100 ..... (2)
-3y = -105
Subtracting eqn 2 from 1
-3y/3 = -105/-3
y = 35
Sesay's present age = 35 years
Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS 2024 WAEC MATHEMATICS: Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS (8064) Welcome to official 2024 Mathematics WAEC answer page. We provide 2024 Mathematics WAEC Questions and Answers on Essay, Theory, OBJ midnight before the exam, this is verified & correct WAEC Maths Expo

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(8a)
Let Ms Maureen's Income = Nx
1/4x = shopping mall
1/3x = at an open market

Hence shopping mall and open market = 1/4x + 1/3x
= 3x + 4x/12 = 7/12x

Hence the remaining amount
= X-7/12x = 12x-7x/12 =5x/12

Then 2/5(5x/12) = mechanic workshop
= 2x/12 = x/6
Amount left = N225,000
Total expenses
= 7/12x + X/6 + 225000
= Nx

7x+2x+2,700,000/12 =Nx
9x + 2,700,000 = 12x
2,700,000 = 12x - 9x
2,700,000/3 = 3x/3
X = N900,000

(ii) Amount spent on open market = 1/3X
= 1/3 × 900,000
= N300,000

(8b)
T3 = a + 2d = 4m - 2n
T9 = a + 8d = 2m - 8n
-6d = 4m - 2m - 2n + 8n
-6d = 2m + 6n
-6d/-6 = 2m+6n/-6
d = -m/3 - n
d = -1/3m - n

Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS 2024 WAEC MATHEMATICS: Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS (8064) Welcome to official 2024 Mathematics WAEC answer page. We provide 2024 Mathematics WAEC Questions and Answers on Essay, Theory, OBJ midnight before the exam, this is verified & correct WAEC Maths Expo
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(9a)
Draw the triangle

(9b)
(i)Using cosine formulae
q² = x² + y² - 2xycosQ
q² = 9² + 5² - 2×9×5cos90°
q² = 81 + 25 - 90 × 0
q² = 106
q = square root 106
q = 10.30 = 10km/h
Distance = 10 × 2 = 20km

(ii)
Using sine formula
y/sin Y = q/sin Q
5/sin Y = 10.30/sin 90°
Sin Y = 5 × sin90°/10.30
Sin Y = 5 × 1/10.30
Sin Y = 0.4854
Y = sin?¹(0.4854), Y = 29.04

Bearing of cyclist X from y
= 90° + 19.96°
= 109.96° = 110°

(9c)
Speed = 20/4, average speed = 5km/h
Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS 2024 WAEC MATHEMATICS: Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS (8064) Welcome to official 2024 Mathematics WAEC answer page. We provide 2024 Mathematics WAEC Questions and Answers on Essay, Theory, OBJ midnight before the exam, this is verified & correct WAEC Maths Expo

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(11a)
Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS 2024 WAEC MATHEMATICS: Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS (8064) Welcome to official 2024 Mathematics WAEC answer page. We provide 2024 Mathematics WAEC Questions and Answers on Essay, Theory, OBJ midnight before the exam, this is verified & correct WAEC Maths Expo

(11b)
Given 8y+4x=24
8y=-4x + 24
y=4/8x + 24/8
y=-1/2x +3
Gradient = -1/2
Using m = y-y/x-x¹ and given (x¹=-8) (y¹=12)
-1/2=y-12/x+8
2(y-12)=-x-8
2y-24=-x-8
2y+x=24-8
2y+x=16
Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS 2024 WAEC MATHEMATICS: Verified 2024 WAEC MATHEMATICS (Maths) Questions and ANSWERS (8064) Welcome to official 2024 Mathematics WAEC answer page. We provide 2024 Mathematics WAEC Questions and Answers on Essay, Theory, OBJ midnight before the exam, this is verified & correct WAEC Maths Expo

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(12)
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