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 3346–3360 of 4910 verified questions
Sort by:
Mathematics
WAEC / WASSCE 1998
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
Find the value of x in the diagram above
Attached Figure / Diagram
A
8.0cm
B
6.8cm
C
6.6cm
D
6.5cm
E
5.6cm
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
\(\frac{x}{4} = \frac{4}{5}\)
therefore x = \(\frac{28}{5}\)
x = 5.6cm.
Source: Myschool Past Questions Archive (Record #26366)
Mathematics
WAEC / WASSCE 1998
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
Find the angle x in the diagram above
Attached Figure / Diagram
A
310o
B
230o
C
190o
D
130o
E
100o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
The given shape is a pentagon(5-sided polygon) = 540º
540º - ( 105º + 105º + 50º + 50º) = yº
yº = 230º
But yº + xº = 360º (
Source: Myschool Past Questions Archive (Record #26367)
Mathematics
WAEC / WASSCE 1998
Mensuration (Areas, Perimeters & Volumes)
Solution
Find the curved surface area of a cone of radius 3cm and slant height 7cm (\(take \pi = \frac{22}{7}\)
A
\(22cm^2\)
B
\(44cm^2\)
C
\(66cm^2\)
D
\(132cm^2\)
E
\(198cm^2\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Curved surface area of a cone \(= \pi rt\\
\frac{22}{7}\times 3\times 7 = 66cm^2\)
Source: Myschool Past Questions Archive (Record #26369)
Mathematics
WAEC / WASSCE 1998
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram above, |PQ| = |PR| = |RS| and ∠RSP = 35^\circ. Find ∠QPR
Attached Figure / Diagram
A
70o
B
50o
C
45o
D
40o
E
35o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
In the diagram above,
\alpha = 35º ( base angles of isosceles triangle)
< PRQ = 35º + 35º = 70º ( sum of opp. interior angles)
< QPR = 180º - ( 70 + 70)º = 40º
Source: Myschool Past Questions Archive (Record #26370)
Mathematics
WAEC / WASSCE 1998
Variations
Diagram
Solution
P varies inversely as Q. The table above shows the value of Q for some selected values of P
What is the missing value of Q in the table?
Attached Figure / Diagram
A
4
B
9
C
15
D
16
E
144
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
K = 6 x 24 = 144 from the first column
P = \(\frac{\text{K}}{\text{Q}}\)
when P = 9, Q = ?
Q = \(\frac{144}{9}\) = 16
Source: Myschool Past Questions Archive (Record #26371)
Mathematics
WAEC / WASSCE 1998
Plane Geometry, Polygons & Circle Theorems
Three of the angles of a hexagon are each Xo. The others are each 3Xo. Find X
A
30o
B
40o
C
60o
D
80o
E
120o
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 #26372)
Mathematics
WAEC / WASSCE 1998
Indices, Logarithms & Surds
Solution
Evaluate \(\sqrt{20}\times (\sqrt{5})^3\)
A
10
B
20
C
25
D
50
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\sqrt{20}\times (\sqrt{5})^3\)
2\(\sqrt{5}\times \sqrt{5}\times \sqrt{5}\times \sqrt{5}=2\times 5\times 5 = 50\)
Source: Myschool Past Questions Archive (Record #26373)
Mathematics
WAEC / WASSCE 1998
Sets, Logic & Venn Diagrams
If P = {3, 7, 11, 13} and Q = {2, 4, 8, 16}, which of the following is correct
A
\((P\cap Q)^l={2, 3, 4, 13}\)
B
\(n(P\cup Q)=4\)
C
\(P\cup Q = \emptyset\)
D
\(P\cap Q = \emptyset\)
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 #26374)
Mathematics
WAEC / WASSCE 1998
Indices, Logarithms & Surds
Solution
It is observed that \(1 + 3 = 2^2, 1 + 3 + 5 = 3^2, 1 + 3 + 5 + 7 = 4^2\).
If 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = P\(^2\) find P
A
6
B
7
C
8
D
9
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64
where 64 = 8\(^2\)
That is, P is 8
Source: Myschool Past Questions Archive (Record #26375)
Mathematics
WAEC / WASSCE 1998
Indices, Logarithms & Surds
Solution
Evaluate \(3.0\times 10^1 - 2.8\times 10^{-1}\)leaving the answer in standard form
A
\(2\times 10^{-1}\)
B
\(2\times 10^{2}\)
C
\(2.972 \times 10^{1}\)
D
\(2.972 \times 10^{2}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(3.0\times 10^1 - 2.8\times 10^{-1}\) = 30 - 0.28 = 29.72 = 2.972 x 10\(^1\)
Source: Myschool Past Questions Archive (Record #26376)
Mathematics
WAEC / WASSCE 1998
Fractions, Decimals, Percentages & Approximations
A trader makes a loss of 15% when selling an article. Find the ratio, selling price : cost price
A
3:20
B
3:17
C
17:20
D
20:23
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 #26377)
Mathematics
WAEC / WASSCE 1998
Fractions, Decimals, Percentages & Approximations
Solution
The side of a square is increased from 20cm to 21cm. Calculate the percentage increase in its area
A
2.5%
B
9.3%
C
10.0%
D
10.25%
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
old area = 20\(^2\) = 400
new area = 21\(^2\) = 441
% increase in area \(=\frac{41}{400}\times \frac{100}{1}\)
=10.25%
Source: Myschool Past Questions Archive (Record #26378)
Mathematics
WAEC / WASSCE 1998
Fractions, Decimals, Percentages & Approximations
Arrange in ascending order of magnitude \(26_8, 36_7, and 25_9\)
A
\(25_9 26_8 36_7\)
B
\(26_8 25_9 36_7\)
C
\(36_7 26_8 25_9\)
D
\(36_7 25_9 26_8\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #26379)
Mathematics
UTME / JAMB 1998
Indices, Logarithms & Surds
Solution
If \(1011_2\) + \(X_7\) = \(25_{10}\), solve for X.
A
207
B
\(14_7\)
C
\(25_7\)
D
\(24_7\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(1011_2 + X_7 = 25_{10} = 1011_2 = 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0\)
= 8 + 0 + 2 + 1
= \(11_{10}\)
\(X_7 = 25_{10} - 11_{10}\)
= \(14_{10}\)
\(\begin{array}{c|c}
7 & 14 \\ 7 & 2 R 0 \\ & 0 R 2
\end{array}\)
X = \(20_7\)
Source: Myschool Past Questions Archive (Record #30554)
Mathematics
UTME / JAMB 1998
Fractions, Decimals, Percentages & Approximations
Solution
Evaluate [\(\frac{1}{0.03}\) \(\div\) \(\frac{1}{0.024}\)]-1 correct to 2 decimal places
A
3.76
B
1.25
C
0.94
D
0.75
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
[\(\frac{1}{0.03}\) + \(\frac{1}{0.024}\)]
= [\(\frac{1}{0.03 \times 0.024}\)]-1
= [\(\frac{0.024}{0.003}\)]-1
= \(\frac{0.03}{0.024}\)
= \(\frac{30}{24}\) = 1.25
Source: Myschool Past Questions Archive (Record #30559)