Question Library
Browse, filter, and study verified past examination questions with step-by-step mathematical reasoning.
Searching 18,000+ Questions...
Sifting topics, KaTeX formulas & verified solutions
Showing 4231–4245 of 4910 verified questions
Sort by:
Mathematics
WAEC / WASSCE 1989
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR.
Attached Figure / Diagram
A
14o
B
28o
C
31o
D
45o
E
90o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
< QSR = 90^\circ (angle in a semi-circle)
\(\therefore\) < SQR = 180^\circ - (90^\circ + 62^\circ)
= 28^\circ
Source: Myschool Past Questions Archive (Record #22344)
Mathematics
WAEC / WASSCE 1989
Indices, Logarithms & Surds
Solution
Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\)
A
1.332
B
13.32
C
133.2
D
1332
E
13.320
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No
Log
5.34
0.7275 +
67.4
1.8287
2.5562 -
2.7
0.4314
Antilog = 133.2
2.1248
\(\therefore \frac{5.34 \times 67.4}{2.7} = 133.2\)
Source: Myschool Past Questions Archive (Record #22345)
Mathematics
WAEC / WASSCE 1989
Algebraic Expressions, Polynomials & Factorisation
Solution
Factorize 35 - 2b - b2
A
(35-2b)(b-1)
B
(7+b)(5-b)
C
(3+7b)(5-b)
D
(35-b)(3b+7)
E
(7+b)(5+b)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
35 - 2b - b 2;
35 - 7b + 5b - b 2
7(5 - b) + 5(5 - b)
(7 + b)(5 - b)
Source: Myschool Past Questions Archive (Record #22346)
Mathematics
WAEC / WASSCE 1989
Fractions, Decimals, Percentages & Approximations
Solution
Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form.
A
7.5 x 102
B
7.5 x 101
C
7.5 x 10-1
D
7.5 x 10-2
E
7.5 x 10-3
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{0.009}{0.012}\)
=\(\frac{0.009}{0.012}\) = \(\frac{9}{12}\) = 0.75
=\(7.5 \times 10^{-1}\)
Source: Myschool Past Questions Archive (Record #22347)
Mathematics
WAEC / WASSCE 1989
Linear, Simultaneous & Quadratic Equations
Diagram
Solution
The graph above is that of a quadratic function y = 2x\(^2\) - x - 6
The roots of the equation are
Attached Figure / Diagram
A
1.5, 2
B
-1.5, 2
C
1, -6
D
1, 6
E
-1, 6
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
The roots are; x = -1.5 and 2
Source: Myschool Past Questions Archive (Record #22348)
Mathematics
WAEC / WASSCE 1989
Algebraic Expressions, Polynomials & Factorisation
Solution
Factorize the following expression; 2x2 + x - 15
A
(2x+5)(x-3)
B
(2x-5)(x+3)
C
(2x-5)(x-3)
D
(2x-3)(x+5)
E
(2x+5)(x+3)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
2x 2 + x - 15; 2x 2 + 6x - 5x - 15
(2x 2 + 6x) - ( 5x + 15)
2x(x + 3) - 5(x + 3)
(2x - 5)(x + 3)
Source: Myschool Past Questions Archive (Record #22349)
Mathematics
WAEC / WASSCE 1989
Trigonometry, Elevation & Bearings
Solution
The angle of elevation of X from Y is 30o. If XY = 40m, how high is X above the level of Y?
A
10m
B
20m
C
20√3m
D
40m
E
50m
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
XZ = 40 x sin30o
= 20m
Source: Myschool Past Questions Archive (Record #22350)
Mathematics
WAEC / WASSCE 1989
Fractions, Decimals, Percentages & Approximations
Solution
Instead of recording the number 1.23cm of the radius of a tube, a student recorded 1.32cm. Find the percentage of error, correct to one decimal place.
A
6.8%
B
7.3%
C
9.6%
D
14.4%
E
15.4%
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
% error = error/exact x 100/1
= 0.09/1.23 x 100/1 = 7.3%
Source: Myschool Past Questions Archive (Record #22351)
Mathematics
WAEC / WASSCE 1989
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram above, ∠SPR = P and ∠SQR = 2x. Find x in terms of P
Attached Figure / Diagram
A
x = p + 2
B
x = p - 2
C
x = p2
D
x = p/2
E
x = 2p
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
P = 2x (angle in the same segment);
x = p/2
Source: Myschool Past Questions Archive (Record #22352)
Mathematics
WAEC / WASSCE 1989
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram above ABDE and FCDE are parallelograms. If |FC| = 12.2cm and the height |PC| = 4.0cm, calculate the area of the parallelogram ABDE.
Attached Figure / Diagram
A
3.05cm2
B
8.20cm2
C
16.20cm2
D
24.40cm2
E
48.8cm2
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Area of ABDE = b x h
12.2 x 4 = 48.8cm 2
Source: Myschool Past Questions Archive (Record #22353)
Mathematics
WAEC / WASSCE 1989
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
Using the above graph, if 10º < x < 60º, what is the value of x for which sin x = cos x?
Attached Figure / Diagram
A
0o
B
20o
C
30o
D
45o
E
50o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
From the graph; when sin x = cos x
x = 45º
Source: Myschool Past Questions Archive (Record #22354)
Mathematics
WAEC / WASSCE 1989
Sets, Logic & Venn Diagrams
Diagram
Solution
The venn diagram below shows the number of students who studied Physics, Chemistry, and Mathematics in a certain school. How many students took at least two of the three subjects?
Attached Figure / Diagram
A
165
B
160
C
155
D
135
E
85
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
At least 2 subjects = 30 + 45 + 75 + 10 = 160 students
Source: Myschool Past Questions Archive (Record #22355)
Mathematics
WAEC / WASSCE 1989
Plane Geometry, Polygons & Circle Theorems
Solution
An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take \pi = 22/7]
A
25.7o
B
44o
C
51.43o
D
98o
E
114.55o
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
L = 14cm, r = 7cm; \(\theta\)= ?
L = \(\frac{\theta}{360}\) x 2\pir
14= \(\frac{\theta\}{360}\) x 2\pi(7)
\(\theta = \frac{360 \times 14}{44}\)
=114.55^\circ
Source: Myschool Past Questions Archive (Record #22356)
Mathematics
WAEC / WASSCE 1989
Plane Geometry, Polygons & Circle Theorems
Solution
If twice a certain integer is subtracted from 5 times the integer, the result is 63. Find the integer.
A
21
B
9
C
7
D
4
E
3
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Let the integer = y
\(\therefore\) 5y - 2y = 63
3y = 63 \(\implies\) y = 21
Source: Myschool Past Questions Archive (Record #22357)
Mathematics
WAEC / WASSCE 1989
Indices, Logarithms & Surds
Solution
If 3\(^y\) = 243, find the value of y.
A
2
B
3
C
4
D
5
E
6
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
3\(^y\) = 243;
3\(^y\) = 3\(^5\)
y = 5
Source: Myschool Past Questions Archive (Record #22358)