General Mathematics/Mathematics (Core) 2 (Essay) 9:30 am. – 12:00 noon.
General Mathematics/ Mathematics (Core) 1 (Objective) 2:00 pm – 3:30 pm
.2022-WAEC-MATHEMATICS-ANSWERS
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MATHS-OBJ!!
(2a)
y= (Pr/m - P²r) -³/²
Multiply both index by -⅔
y-⅔= (Pr/m - P²r)-³/²*-⅔
y-⅔/1 = Pr/m - P²r/1
my-⅔ = Pr - mP²r
my-⅔/P-mP² = r (P-mP²)/P-mP²
m/(P-mP²)y⅔ = r
(2b)
y= -8, m=1, P=3
r = m/(P-mP²)y⅔
r = 1/(3-1*3²)* -8⅔
r = 1/(3-9)*(³√-8)²
r = 1/-6*(-2)² = 1/-6*4 = 1/-24
:. r = -1/24
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(3)
Perimeter of minor segment= AB + AB
AB = 2AM = 2rSin36°
= 2*24.5*Sin36°
= 28.8m
AB = 72°/360° * 2*22/7* 24.5
= 72/360* 154 = 30.8m
:. Perimeter= 30.8+28.8
= 57.6m
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(4a)
2(2y+10) = 5x-35 (angle at centre = twice at circle)
4y+20= 5x-35
5x = 4y+55
x = 4/5y +11..........(1)
(2y+10)+(2x+40) = 180 (supplementary angle)
2x+2y+50 = 180
x+y = 65........(2)
Put (1) into (2)
4/5y +11+y =65
9/5y = 54
y = 5/9*54 = 30
From (2) x=65-y = 65-30= 35
(4b)
= 360 - (175-35+40+70+40)
= 360-290
= 70°
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(5a)
Given m= tan30° = 1/√3
n = tan45° = 1
m -n/mn= 1/√3 -1/(1/√3)(1)
= √3(1/√3 -1)
= 1 - √3
(5b)
15-x+x+10-x =20
25-x = 20
x= 25-20 = 5
PnB(both) = 5/20 = 1/4
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(6a)
On x-axis: 2cm to 2units
On y-axis: 2cm to 10units
(6b)
(x+2)(x-4) = 0
x²-4x+2x-8 = 0
x²-2x-8= 0
mx² + nx + r = y
:. m=1, n= -2, r = -8
(6c)
Gradient= y2 -y1/x2 -x1
= -27 -5/-5 -3
= -32/-8 = 4
(6d)
(x+2)(x-4) > 0
x+2<0 or x-4<0
x< -2 or x<4
And x-4>0
x+2>0 or x-4>0
x> -2 or x>4
:. x> -2
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(10a)
[TABULATE]
Age X; 3 4 5 6 7 8 9 10
Number of children F; 2 6 5 x=4 6 9 8 5
Fx; 6 24 25 6x=24 42 72 72 50
x - x̄; -4 - 3 - 2 - 1 0 1 2 3
(x - x̄)²; 16 9 4 1 0 1 4 9
f(x - x̄)²; 32 54 20 4 0 9 32 45
Σf = x + 41
Σfx = 6x + 291
Σf(x - x̄)² = 196
Mean x̄ = Σf/Σf
x̄ = 7 = (6x + 291)/(x +41)
7x + 287 = 6x + 291
7x - 6x = 291 - 287
x = 4
(10b)
S.D = √[(Σf(x - x̄)²]/Σf
S.D = √(196/x+41)
S.D = √(196/45)
S.D = 2.1
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MATHS-OBJ!!
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11ABDDACCCDD
More coming On It!!!!!