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Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
If N112.00 exchanges for D14.95, calculate the value of D1.00 in naira
A
0.13
B
7.49
C
8.00
D
13.00
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
D14.95 = N112.00
D1.00 = \(\frac{N112}{D14.95} \times\) D1.00
= 7.49
Source: Myschool Past Questions Archive (Record #36628)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
A cylindrical container has a base radius of 14cm and height 18cm. How many litres of liquid can it hold? correct to the nearest litre [Take \(\pi = \frac{22}{7}\)]
A
11
B
14
C
16
D
18
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Volume of cylinder = \(\pi r^2 h\)
= \(\frac{22}{7} \times 14^2\) x 14 x 18 = 22 x 28 x 18
= 11088cm3
1000cm3 = \(\frac{1}{1000}\) x 11088cm3
= 11.088
= 11
Source: Myschool Past Questions Archive (Record #36640)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
Simplify \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)
A
3
B
2
C
\(\frac{3}{2}\)
D
\(\frac{3}{4}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{\log \sqrt{27}}{\log \sqrt{81}}\) = \(\frac{\log 27\frac{1}{2}}{81\frac{1}{2}}\)
= \(\frac{\log 3\frac{1}{2}}{\log 3^2}\)
\(\frac{\frac{3}{2} \log 3}{2 \log 3} = \frac{3}{2} \div \frac{2}{1}\)
= \(\frac{3}{2} \times \frac{1}{2}\)
= \(\frac{3}{4}\)
Source: Myschool Past Questions Archive (Record #36651)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
The length of a piece of stick is 1.75m. A girl measured it as 1.80m. Find the percentage error
A
\(\frac{28}{7}\)%
B
\(\frac{29}{7}\)%
C
5%
D
\(\frac{20}{7}\)%
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Error = 1.80m - 1.75m = 0.05m
%error = \(\frac{\text{error}}{\text{true measurement}}\) x 100%
%error = \(\frac{ 0.05}{ 1.75}\times100\)
%error = \(\frac{20}{7}\)% or 2.86%
Source: Myschool Past Questions Archive (Record #36654)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
What is the value of 3 in the number 42.7531?
A
\(\frac{3}{10000}\)
B
\(\frac{3}{1000}\)
C
\(\frac{3}{100}\)
D
\(\frac{1}{10}\)
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 #36664)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
The height of a cylinder is equal to its radius. If the volume is 0.216 \(\pi m^3\) Calculate the radius.
A
0.46m
B
0.60m
C
0.87m
D
1.80m
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
volume of cylinder = \(\pi r^2\)h
0.216\(\pi m^3 = \pi \times r^2 \times h\)
But h = r, pi cancels pi
Then, 0.216 = r\(^3\)
r\(^3\) = 0.216
r = \(\sqrt[3]{0.216}\)
= 0.60m
Source: Myschool Past Questions Archive (Record #36668)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
Factorize the expression: am + bn - an - bm
A
(a - b)(m + n)
B
(a - b)(m - n)
C
(a + b)(m - n)
D
(a + b)(m + n)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
am + bn - an - bm
am - an - bm + bn
a(m - n) - b(m - n)
(a - b)(m - n)
Source: Myschool Past Questions Archive (Record #36671)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
Simplify \(\frac{m}{n} + \frac{(m - 1)}{5n} = \frac{(m - 2)}{10n}\) where n \(\neq\) 0
A
\(\frac{m - 3}{10n}\)
B
\(\frac{11m}{10n}\)
C
\(\frac{m + 1}{10n}\)
D
\(\frac{11m + 4}{10n}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{m}{n} + \frac{(m - 1)}{5n} - \frac{(m - 2)}{10n}\); \(\frac{10m + 2(m - 1) - 1(m - 2)}{10m}\)
= \(\frac{10m + 2m - 2 - m + 2}{10n}\)
= \(\frac{10m + 2m - m - 2 + 2}{10n}\)
= \(\frac{11m}{10n}\)
Source: Myschool Past Questions Archive (Record #36676)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
If \(\sqrt{72} + \sqrt{32} - 3 \sqrt{18} = x \sqrt{8}\), Find the value of x
A
1
B
\(\frac{3}{4}\)
C
\(\frac{1}{2}\)
D
\(\frac{1}{4}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\sqrt{72} + \sqrt{32} - 3\sqrt{18} = x\sqrt{8}\)
= \(\sqrt{36 \times 2} + \sqrt{16 \times 2} - 3\sqrt{2 \times 9}\)
= x\(\sqrt{2 \times 4}\)
= 6\(\sqrt{2} + 4\sqrt{2} - 9\sqrt{2} = 2 \times \sqrt{2}\)
\(\sqrt{2} (6 + 4 - 9) = 2x\sqrt{2}\)
\(\sqrt{2} = 2x \sqrt{2}\) divide both sides by \(\sqrt{2}\)
\(\frac{\sqrt{2}}{\sqrt{2}} = \frac{ 2x\sqrt{2}}{\sqrt{2}}\)
1 = 2x
2x = 1
x = \(\frac{1}{2}\)
Source: Myschool Past Questions Archive (Record #36677)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100
A
15
B
25
C
75
D
225
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
G \(\alpha\) H2
G = KH2
4 = K(3)2
4 = 9k; K = \(\frac{4}{9}\)
100 = \(\frac{4}{9}H^2\)
4H2 = 900
H2 = \(\frac{900}{4}\)
H2 = 225
H = \(\sqrt{225}\)
H = 15
Source: Myschool Past Questions Archive (Record #36678)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
Given that n(p) = 19, m(P \(\cup\) Q) = 38 and n(P \(\cap\) Q) = 7, Find n(C)
A
26
B
31
C
36
D
50
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
n(P \(\cup\) Q) = m(P \(\cap\) C)
38 = 19 = n(C) - 7
n(C) = 38 - 12
= 26
Source: Myschool Past Questions Archive (Record #36679)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
What must be added to (2x - 3y) to get (x - 2y)?
A
5y - x
B
y - x
C
x - 5x
D
x - y
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
What must be added to 2x - 3y = Difference between x - 2y and 2x - 3y
x - 2y - 2y - (2x - 3y); x - 2y - 2x + 3y
= x - 2x + 3y - 2y
= y - x
Source: Myschool Past Questions Archive (Record #36681)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
Simplify 1\(\frac{3}{4} - (2 \frac{1}{3} + 4)\)
A
3\(\frac{5}{12}\)
B
2\(\frac{7}{12}\)
C
-4 \(\frac{7}{12}\)
D
-5 \(\frac{7}{12}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
1\(\frac{3}{4} - (2 \frac{1}{3} + 4)\) = \(\frac{7}{4} - (\frac{7}{3} + \frac{4}{1})\); \(\frac{7 + 12}{3}\)
\(\frac{7}{4} - \frac{19}{3} = \frac{21 + 76}{12}\)
= \(\frac{-55}{12} = -4 \frac{7}{12}\)
Source: Myschool Past Questions Archive (Record #36682)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Solution
If 27x = 9y. Find the value of \(\frac{x}{y}\)
A
\(\frac{1}{3}\)
B
\(\frac{2}{3}\)
C
1\(\frac{1}{2}\)
D
3
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
27x = 9y
33x = 32y
3x = 2y
Source: Myschool Past Questions Archive (Record #36691)
Mathematics
WAEC / WASSCE 2011
Number and Numeration
Diagram
Solution
The histogram shows the age distribution of members of a club. How many members are in the club?
Attached Figure / Diagram
A
52
B
50
C
48
D
40
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
2 + 2 + 5 + 8 + 12 + H + 7 + 3 + 2 = 52
Source: Myschool Past Questions Archive (Record #36703)