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Mathematics
WAEC / WASSCE 1998
Number and Numeration
Find the number whose logarithm to base 10 is 2.6025
A
0.0004
B
4.004
C
40.04
D
400.4
E
4004
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 #24000)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
A piece of cloth was measured as 6.10m. If the actual length of the cloth is 6.35, find the percentage error, correct to 2 decimal places
A
3.05%
B
3.95%
C
15.00%
D
25.00%
E
39.30%
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 #24002)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
Solution
Simplify \(\frac{8^{\frac{2}{3}} \times 27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
A
-3
B
\(\frac{1}{9}\)
C
\(\frac{1}{3}\)
D
\(\frac{27}{8}\)
E
4
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{8^{\frac{2}{3}} \times 27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)
Calculating each part:
1. \(8 = 2^3 \Rightarrow 8^{\frac{2}{3}} = 4\)
2. \(27 = 3^3 \Rightarrow 27^{\frac{-1}{3}} = \frac{1}{3}\)
3. \(64 = 4^3 \Rightarrow 64^{\frac{1}{3}} = 4\)
Now substituting these values:
\(\frac{4 \times \frac{1}{3}}{4} = \frac{1}{3}\)
Thus, the simplified expression is: \(\frac{1}{3}\)
Source: Myschool Past Questions Archive (Record #24003)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
p and q are two positive numbers such that p > 2q. Which one of the following statements is not true?
A
-p < -2q
B
-p > -2q
C
-q < 2p
D
q < 1/2p
E
p2 > 2q2
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 #24012)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
Solution
For what value of x is the expression x - 5/x2 - 2x - 3 not defined?
A
3, 1
B
-1, -3
C
-1, 3
D
3, -2
E
1, -3
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
x(x - 3) + (x - 3) = 0
(x + 1)(x - 3) = 0
x = -1 or 3
Source: Myschool Past Questions Archive (Record #24053)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
Solution
If h(m+n) = m(h+r) find h in terms of m, n and r
A
\(h=\frac{mr}{2m+n}\)
B
\(h=\frac{mr}{n+m}\)
C
\(h=\frac{m+n}{n}\)
D
\(h=\frac{m+n}{m}\)
E
\(h=\frac{mr}{n}\)
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
\(h(m+n) = m(h+r)\\
hm+hn=hm+mr\\
hn=mr\\
h=\frac{mr}{n}\)
Source: Myschool Past Questions Archive (Record #26337)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
Solution
The following numbers represent at a set of scores for a class of 32 students, where the maximum score possible was 12, 6, 5, 9, 4, 4, 8, 7, 5, 6, 3, 2, 5, 4, 6, 9, 10, 4, 3, 2, 3, 4, 6, 8, 7, 4, 2, 1, 8, 7, 7, 6, 11. What is the percentage of the class, correct to the nearest whole number, scored above 6?
A
34%
B
35%
C
37%
D
39%
E
36%
F
38%
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\text{There are 33 scores in total. Hence, the class size is: } n = 33\)
\(\text{Scores greater than 6 are: } 7, 8, 9, 10, 11, 12.\)
\(\text{Number of students who scored above 6: } f = 12\)
\(\text{Fraction of students who scored above 6: } \frac{f}{n} = \frac{12}{33}\)
\(\text{Convert the fraction to percentage: } \frac{12}{33} \times 100 = 36.36\%\)
\(\text{Rounded to the nearest whole number: } 36\%\)
Source: Myschool Past Questions Archive (Record #26342)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
Diagram
Solution
The values of x when y = -1 are approximately
Attached Figure / Diagram
A
-10 and 2.0
B
-1.3 and 2.3
C
-0.6 and 2.6
D
-0.6 and 1.6
E
1.6 and 1.6
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Draw a straight line from y = -1 to meet the curve on both sides. From the point where the straight line touches the curve, draw a line from there to meet the x-axis, then read off the values.
So when y = -1, x = - 0.6 or 1.6
Source: Myschool Past Questions Archive (Record #26346)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
Diagram
Solution
The pie chart above shows the distribution of how students travelled to a certain school on a particular day. Use this information to answer the question below
What percentage, to the nearest whole number, of the students travelled to school on foot?
Attached Figure / Diagram
A
24%
B
23%
C
20%
D
15%
E
14%
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
What percentage, to the nearest whole number, of the students travelled to school on foot = \(\frac{85}{360}\) x 100 = 23.6% (to 1 decimal place) ≈ 24 to the nearest whole number.
Source: Myschool Past Questions Archive (Record #26363)
Mathematics
WAEC / WASSCE 1998
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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)