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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)
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
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
Geometry and Trigonometry
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)
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
Solution
Find the sum of the interior angle of a pentagon.
A
340\(^o\)
B
350\(^o\)
C
540\(^o\)
D
550\(^o\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Sum = (5 - ) 180\(^o\)
= (5 - 2) 180\(^o\) = 3 x 180\(^o\)
= 540\(^o\)
Source: Myschool Past Questions Archive (Record #58344)
Mathematics
WAEC / WASSCE 2020
Number and Numeration
Solution
The diameter of a sphere is 12 cm. Calculate, correct of the nearest cm\(^3\), the volume of the sphere, [Take \(\pi = \frac{22}{7}\)]
A
903 cm\(^3\)
B
904 cm\(^3\)
C
905 cm\(^3\)
D
906 cm\(^3\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Volume of sphere = \(\frac{4}{3}\)\(\pi\)r\(^3\)
diameter = 12cm ⇒ r = 6cm
V. of sphere = \(\frac{4}{3}\) x \(\frac{22}{7}\) x 6\(^3\) \(\approxeq\) 905cm\(^3\)
Source: Myschool Past Questions Archive (Record #58347)
Mathematics
WAEC / WASSCE 2020
Statistics and Probability
Solution
A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If a ball is selected at random from the box, what is the probability that it is green?
A
\(\frac{3}{4}\)
B
\(\frac{1}{2}\)
C
\(\frac{1}{3}\)
D
\(\frac{1}{4}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
No. of red = 5
No. of blue = 4
No. of green = 3
Total = 12
Pr(Green) = \(\frac{3}{12} = \frac{1}{4}\)
Source: Myschool Past Questions Archive (Record #58349)
Mathematics
WAEC / WASSCE 2020
Statistics and Probability
Solution
A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If two balls are selected at random one after the other with replacement, what is the probability that both are red?
A
\(\frac{25}{144}\)
B
\(\frac{5}{33}\)
C
\(\frac{5}{6}\)
D
\(\frac{103}{132}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Pr(RR) = \(\frac{5}{12}\) = \(\frac{5}{12} \times \frac{5}{12} = \frac{25}{144}\)
Source: Myschool Past Questions Archive (Record #58355)
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
Solution
x
6.20
6.85
7.50
y
3.90
5.20
6.50
The points on a linear graph are as shown in the table. Find the gradient (slope) of the line.
A
2\(\frac{1}{2}\)
B
2
C
1
D
\(\frac{1}{2}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Gradient = \(\frac{y_2 - y_ 1}{x_2 - x_1}\)
= \(\frac{5.20 - 3.90}{6.85 - 6.20}\)
= \(\frac{1.3}{0.5}\)
= 2
Source: Myschool Past Questions Archive (Record #58365)
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
Which of the following is not a sufficient condition for two triangles to be congruent?
A
AAS
B
SSS
C
SAS
D
SSA
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #58381)
Mathematics
WAEC / WASSCE 2020
Algebra
Solution
A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?
A
$675.25
B
$660.25
C
$656.25
D
$616.25
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{20}{100}\) x \(x\) = \(x - 525\)
\(\frac{x}{5} = x\) - 535
x = 5x - 2625
\(\frac{4x}{4} = \frac{2625}{4}\)
x = $656.25
OR
To find the original price of the cloth after a 20\% discount, we can set up the equation:
\(\text{Final Price} = \text{Original Price} - \text{Discount}\)
Let \( P \) be the original price. Since the woman received a 20\% discount, she paid 80\% of the original price:
\(525 = 0.8P\)
To find \( P \), divide both sides by 0.8:
\(P = \frac{525}{0.8}\)
Calculating this gives:
\(P = 656.25\)
Thus, the original price of the cloth was \(\$656.25\).
Source: Myschool Past Questions Archive (Record #58402)