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Mathematics
WAEC / WASSCE 2020
Number and Numeration
Solution
Two buses start from the same station at 9.00am and travel in opposite directions along the same straight road. The first bus travel at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240km apart?
A
1:00 pm
B
12:00 noon
C
11:00 am
D
10:00 am
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Let x be the time
Then 72x + 48x = 240
\(\frac{120}{120} \times \frac{240}{120}\)
x = 2hrs
9:00 + 2hrs = 11:00 am
Source: Myschool Past Questions Archive (Record #58303)
Mathematics
WAEC / WASSCE 2020
Number and Numeration
Solution
A solid cuboid has a length of 7 cm, a width of 5 cm, and a height of 4 cm. Calculate its total surface area.
A
280 cm\(^2\)
B
166 cm\(^2\)
C
140 cm\(^2\)
D
83 cm\(^2\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Total = 2(LB + BH + LH)
Surface area
= 2(7 x 5 + 5 x 4 + 7 x 4)
= 2(35 + 20 + 28)
= 2(83)
= 166cm\(^2\)
Source: Myschool Past Questions Archive (Record #58304)
Mathematics
WAEC / WASSCE 2020
Number and Numeration
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
Algebra
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Geometry and Trigonometry
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
Geometry and Trigonometry
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
Number and Numeration
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
Geometry and Trigonometry
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
Number and Numeration
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
Geometry and Trigonometry
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
Geometry and Trigonometry
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
Number and Numeration
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)