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Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
If P = {3, 5, 6} and Q = {4, 5, 6} then P∩Q equals
A
{3, 4}
B
{4, 5}
C
{4, 6}
D
{5, 6}
E
{3, 5}
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
P ∩ Q = {5, 6}
Source: Myschool Past Questions Archive (Record #23855)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?
A
105
B
27
C
15
D
12
E
7
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Let x represent the intersection
34 - x + 22 - x + x = 49
  - x = 49 - 56; x = 7
Source: Myschool Past Questions Archive (Record #23856)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
A student found the approximate value of 0.02548 correct to two places of decimal instead of two significant figures. Find the percentage error.
A
0%
B
131/3%
C
15 5/13%
D
2/3%
E
20%
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
0.02548 \(\approxeq\) 0.03 (to 2 decimal places)
0.02548 \(\approxeq\) 0.025 (2 sig. figs)
Error = 0.03 - 0.025
= 0.005
% error = \(\frac{0.005}{0.025} \times 100%\)
= 20%
Source: Myschool Past Questions Archive (Record #23857)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
Simplify log39 + log315 - log35
A
log319
B
log3
C
3
D
1
E
o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
log3 (9 x 15)/5 = log327 = 3
Source: Myschool Past Questions Archive (Record #23858)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9
A
729/16
B
6
C
4
D
16/9
E
4/3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
P α 1/w2; P = K/W2
9 = K/42; 9 = K/16
K = 9 x 16 = 144
P = K/W2; when w = 9
P = 144/92 = 144/81 = 16/9
Source: Myschool Past Questions Archive (Record #23863)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Diagram
If x varies over the set of real numbers, which of the following is illustrated in the diagram above?
Attached Figure / Diagram
A
-2 ≤ x < 3
B
-2 < x ≤ 3
C
-2 < x < 3
D
-2 ≤ x ≤ 3
E
x ≥ 3
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 #23864)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
Calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm in terms of π
A
64πcm2
B
12Oπcm2
C
184πcm2
D
200πcm2
E
32Oπcm2
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Total surface are of a cone
= πr(r + l)
= π x 8 (8 + 150)
= 184πcm2
Source: Myschool Past Questions Archive (Record #23868)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume
A
48cm3
B
6Ocm3
C
96cm3
D
120cm3
E
24Ocm3
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Volume = base area x height
= 1/2 x 4 x 3 x 8
= 48cm3
Source: Myschool Past Questions Archive (Record #23869)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Diagram
Solution
In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x
Attached Figure / Diagram
A
2cm
B
3cm
C
4cm
D
5cm
E
6cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
2/2 + 4 = x/x + 6
2x + 12 = 6x
4x = 12
x = 3cm
Source: Myschool Past Questions Archive (Record #23873)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Diagram
PQRS and GHRS are parallelograms on the same base SR and between the same parallel straight line PH and SR. Which of the following is true?
Attached Figure / Diagram
A
Δ PGS = Δ QHR
B
Parallelogram PQRS = Δ QHR
C
Trapezium PQXS = Δ QHR
D
Δ PGS = Parallelogram GHRS
E
Parallelogram PQRS = Parallelogram GHRS
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #23875)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
Divide 3.6721 by 4
A
0.9180
B
1.4180
C
1.1680
D
1.9180
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{3.6721}{4} = 0.918025\)
\(\approxeq\) 0.9180
Source: Myschool Past Questions Archive (Record #23879)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
The eleventh term of an AP, is 25 and its first term is -3. Find its common difference.
A
19/10
B
21/5
C
23/11
D
21/2
E
24/5
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
a + 10d = 25
-3 + 10d = 25
d = 28/10 = 24/5
Source: Myschool Past Questions Archive (Record #23880)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
Find the common ratio in the GP: log 3, log 9, log 81 ..........
A
1
B
2
C
3
D
6
E
9
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
r = log9/log3 = 2log3/log3 = 2
Source: Myschool Past Questions Archive (Record #23881)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
Find the value of t for which \(\frac{64}{27} = (\frac{3}{4})^{t - 1}\)
A
-4
B
-2
C
11/3
D
2
E
4
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{64}{27} = (\frac{3}{4})^{t-1}\)
\((\frac{3}{4})^t = \frac{64}{27} \times \frac{3}{4} = \frac{16}{9}\)
\((\frac{3}{4})^t = (\frac{9}{16})^{-1}\)
\((\frac{3}{4})^t = (\frac{3}{4})^{-2}\)
t = -2
Source: Myschool Past Questions Archive (Record #23882)
Mathematics
WAEC / WASSCE 1997
Number and Numeration
Solution
Given that \(\frac{1}{2} \log_{10} P = 1\), find the value of P.
A
104
B
103
C
102
D
101
E
10-1
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{1}{2} \log_{10} P = 1\)
\(\log_{10} P^{\frac{1}{2}} = 1\)
\(P^{\frac{1}{2}} = 10^{1}\)
\(\implies P = 10^{2}\)
Source: Myschool Past Questions Archive (Record #23885)