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Mathematics
WAEC / WASSCE 2020
Plane Geometry, Polygons & Circle Theorems
Solution
In the diagram, PQ // SR. Find the value of x
A
34
B
46
C
57
D
68
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
x + 68\(^o\) + 246\(^o\) = 360\(^o\)
x + 314\(^o\) = 360\(^o\)
x = 360\(^o\) - 314\(^o\)
x = 46\(^o\)
Source: Myschool Past Questions Archive (Record #58305)
Mathematics
WAEC / WASSCE 2020
Coordinate Geometry
Solution
Find the equation of the line parallel to 2y = 3(x - 2) and passes through the point (2, 3)
A
y = \(\frac{2}{3} x - 3\)
B
y = \(\frac{2}{3} x - 2\)
C
y = \(\frac{3}{2} x\)
D
y = \(\frac{-2}{3} x\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
2y = 3(x - 2)
\(\frac{2y}{2} = \frac{3x}{2} - \frac{6}{2}\)
y = \(\frac{3}{2}x - 3\)
m = \(\frac{3}{2}\)
\(\frac{y - y_1}{x - x_1}\) = m
\(\frac{y - 3}{x - 2} = \frac{3}{2}\)
2y - 6 = 3x - 6
\(\frac{2y}{2} = \frac{3x}{2}\)
y = \(\frac{3}{2}\)x
Source: Myschool Past Questions Archive (Record #58306)
Mathematics
WAEC / WASSCE 2020
Algebraic Expressions, Polynomials & Factorisation
Solution
The expression \(\frac{5x + 3}{6x (x + 1)}\) will be undefined when x equals
A
{0, 1}
B
{0, -1}
C
{-3, -11}
D
{-3, 0}
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
6x(x + 1) = 0
When 6x = 0 and
x + 1 = 0
x = 0 and x = -1
(0, -1)
Source: Myschool Past Questions Archive (Record #58307)
Mathematics
WAEC / WASSCE 2020
Plane Geometry, Polygons & Circle Theorems
Solution
A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.
A
5y\(^2 - 16y - 380 = 0\)
B
5y\(^2 - 24y - 380 = 0\)
C
5y\(^2 - 16y - 330 = 0\)
D
5y\(^2 + 24y - 324 = 0\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Man = x, Son = y
x = 5y
(x + 4)(y + 4) = 350
(5y + 4)(y + 4) = 340
5y\(^2\) + 20y + 4y + 16 - 240 = 0
5y\(^2\) + 24y - 324 = 0
Source: Myschool Past Questions Archive (Record #58308)
Mathematics
WAEC / WASSCE 2020
Plane Geometry, Polygons & Circle Theorems
Solution
Simplify; \(\frac{a}{b} - \frac{b}{a} - \frac{c}{b}\)
A
\(\frac{a - b + c}{ab}\)
B
\(\frac{ab - bc - ac}{ab}\)
C
\(\frac{a^2 - b^2 + ac}{ab}\)
D
\(\frac{a^2 - b^2 - ac}{ab}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{a}{b} - \frac{b}{a} - \frac{c}{b}\)
\(\frac{a^2 - b^2- ac}{ab}\)
Source: Myschool Past Questions Archive (Record #58309)
Mathematics
WAEC / WASSCE 2020
Indices, Logarithms & Surds
Solution
In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of \(\overline{XY}\). Find tan (< XZT)
A
\(\frac{1}{\sqrt{3}}\)
B
\(\frac{\sqrt{3}}{2}\)
C
\(\sqrt{3}\)
D
\(\frac{1}{2}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
ZT = \(\sqrt{6^2 - 3^2}\)
ZT = \(\sqrt{27}\) = \(3\sqrt{3}\)
tan (< XZT) = \(\frac{3}{3\sqrt{3}}\)
= - \(\frac{1}{\sqrt{3}}\)
Source: Myschool Past Questions Archive (Record #58311)
Mathematics
WAEC / WASSCE 2020
Trigonometry, Elevation & Bearings
Solution
A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence.
A
76.11\(^o\)
B
53.67\(^o\)
C
52.40\(^o\)
D
51.32\(^o\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Tan \(\theta\) = \(\frac{13.6}{10}\)
= tan\(^{-1}\)(1.36)
\(\theta\) = 53.67\(^o\)
Source: Myschool Past Questions Archive (Record #58312)
Mathematics
WAEC / WASSCE 2020
Fractions, Decimals, Percentages & Approximations
Solution
Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?
A
₦(xy + 10)
B
₦(x + 10y)
C
₦(10x + y)
D
₦10(x + y)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Selling Price for each = ₦x + ₦y
= 10(₦x + ₦y)
Source: Myschool Past Questions Archive (Record #58314)
Mathematics
WAEC / WASSCE 2020
Trigonometry, Elevation & Bearings
If tan y is positive and sin y is negative, in which quadrant would y lie?
A
First and third only
B
First and second only
C
Third only
D
Second only
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #58315)
Mathematics
WAEC / WASSCE 2020
Mensuration (Areas, Perimeters & Volumes)
Solution
The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid?
A
10cm
B
6cm
C
8cm
D
7cm
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Volume = \(\frac{1}{3}\) x 9 x 5 x h
105 = \(\frac{1}{3}\) x 9 x 5 x h
\(\frac{105}{15} = \frac{15h}{15}\)
h = 7cm
Source: Myschool Past Questions Archive (Record #58316)
Mathematics
WAEC / WASSCE 2020
Plane Geometry, Polygons & Circle Theorems
Solution
Each interior angle of a regular polygon is 168\(^o\). Find the number of sides of the polygon
A
30
B
36
C
24
D
18
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Exterior angle = 180\(^o\) - 168\(^o\)
Number of sides = \(\frac{360^o}{12}\)
= 30\(^o\)
Source: Myschool Past Questions Archive (Record #58317)
Mathematics
WAEC / WASSCE 2020
Plane Geometry, Polygons & Circle Theorems
Solution
The length of an arc of a circle of radius 3.5 cm is 1\(\frac{19}{36}\) cm. Calculate, correct to the nearest degree , the angle substended by the centre of the circle. [Take \(\pi = \frac{22}{7}\)]
A
55\(^o\)
B
36\(^o\)
C
25\(^o\)
D
22\(^o\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
L = \(\frac{\theta}{360^o}\) = 2\(\pi\)
\(\frac{55}{36} = \frac{\theta}{360^o} \times 2 \times \frac{22}{7} \times 3.5\)
\(\theta = \frac{360 \times 55 \times 44 \times 0.5}{3 \times 44 \times 0.5}\)
= \(\theta = 25^o\)
Source: Myschool Past Questions Archive (Record #58330)
Mathematics
WAEC / WASSCE 2020
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, \(\overline{PU}\)/\(\overline{SR}\), \(\overline{PS}\)/\(\overline{TR}\), \(\overline{QS}\)/\(\overline{UR}\), \(\overline{UR}\) = 15cm, \(\overline{SR}\) = 8 cm, \(\overline{PS}\) = 10 cm and area of △SUR = 24 cm\(^2\). Calculate the area of PTRS.
Attached Figure / Diagram
A
40 cm\(^2\)
B
48 cm\(^2\)
C
80 cm\(^2\)
D
120 cm\(^2\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Area PTRS = 10cm x 8cm
= 80cm
Source: Myschool Past Questions Archive (Record #58331)
Mathematics
WAEC / WASSCE 2020
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
Solution
The pie chart shows the population of men, women, and children in a city. If the population of the city is 1,800,000, how many men are in the city?
Attached Figure / Diagram
A
845,000
B
600,000
C
355,000
D
250,000
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Angle of Men = 360\(^o\) - (120 + 169)
= 360\(^o\) - 289\(^o\) = 71\(^o\)
No. of men \(\frac{71}{360}\) x 1800,000
= 355,000
Source: Myschool Past Questions Archive (Record #58335)
Mathematics
WAEC / WASSCE 2020
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate the standard deviation
A
9
B
6
C
5
D
0
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
x
x - \(\overline{x}\))\(^2\)
(x - \(\overline{x}\))\(^2\)
15
21
17
26
18
29
-6
0
-4
5
-3
-8
36
0
16
25
9
64
\(\sum (x - \overline{x})^2\) = 150
Standard deviation = \(\sqrt{\frac{ \sum (x - \overline{x})^2}{n} }\)
= \(\frac{150}{6}\)
= \(\sqrt{25}\)
= 5
Source: Myschool Past Questions Archive (Record #58337)