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Mathematics
NECO SSCE 2008
Statistics and Probability
Solution
Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2750, find y.
A
51
B
48
C
30
D
25
E
18
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Let the total score for the girls and the boys be A and B respectively.
\(\frac{A}{20} = 52 \implies A = 52 \times 20\)
A = 1040
\(\frac{B}{y} = 57 \implies B = 57y\)
1040 + 57y = 2750
57y = 2750 - 1040
57y = 1710
y = \(\frac{1710}{57}\)
y = 30
Source: Myschool Past Questions Archive (Record #42495)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = \(\frac{22}{7}\))
A
14.1cm2
B
95.5cm2
C
190.9cm2
D
381.9cm2
E
763.7cm2
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 #42502)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?
A
9.60m
B
6.06m
C
2.54m
D
2.53m
E
2.00m
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 #42505)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Solution
The chances of Usman and Dele passing a Mathematics test are 3/5 and 1/3, respectively. What is the probability that neither of them passes the test?
A
\(\frac{3}{5}\)
B
\(\frac{2}{5}\)
C
\(\frac{4}{15}\)
D
\(\frac{1}{5}\)
E
\(\frac{2}{15}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
P\(\text{Usman fails}) = 1 - \frac{3}{5} = \frac{2}{5}\)
P\(\text{Dele fails}) = 1 - \frac{1}{3} = \frac{2}{3}\)
P\(\text{neither passes}) = \left(\frac{2}{5}\right) \times \left(\frac{2}{3}\right) = \frac{4}{15}\)
Source: Myschool Past Questions Archive (Record #42511)
Mathematics
NECO SSCE 2008
Number and Numeration
Solution
x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2?
A
2.5
B
5
C
6.25
D
6.52
E
7.5
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
x = \(\frac{ Ky}{z}\)
x = 5, y = 2 and z = 1
x = \(\frac{ Ky}{z}\)
5 = \(\frac{ K2}{1}\)
K = \(\frac{5}{2}\) = 2.5
find x when y = 5 and z = 2
x = \(\frac{2.5 \times5}{2}\)
x = \(\frac{12.5}{2}\) = 6.25.
Source: Myschool Past Questions Archive (Record #42514)
Mathematics
NECO SSCE 2008
Statistics and Probability
Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number
A
2
B
3
C
4
D
5
E
6
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 #42516)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°
A
271.5cm2
B
135.8cm2
C
96.0cm2
D
48.0cm2
E
33.9cm2
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 #42520)
Mathematics
NECO SSCE 2008
Number and Numeration
Solution
The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone
A
7cm
B
22cm
C
28cm
D
49cm
E
154cm
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
The base of a cone is a circle, r = 7cm
Base area of a cone = \(\pi\)r\(^2\)
Curve surface area of a cone = \(\pi\)l
\(\pi\)r\(^2\) : \(\pi\)l = 1 : 4
\(\frac{\pi r^2}{\pi l}\) = \(\frac{1}{4}\)
\(\frac{r}{l} = \frac{1}{4}\)
\(\frac{7}{l} = \frac{1}{4}\)
cross multiplying
l = 4 x 7 = 28cm.
Source: Myschool Past Questions Archive (Record #42523)
Mathematics
NECO SSCE 2008
Number and Numeration
Solution
Increase 135 in the ratio 3:5
A
225
B
216
C
143
D
140
E
140
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
To increase 135 in the ratio 3:5
Simply divide 135 by 3 and then multiply the result by 5
= \(\frac{135}{3}\) = 45, 45 x 5 = 225
Source: Myschool Past Questions Archive (Record #42526)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Solution
Find y if sin y = cos 48^\circ
A
21°
B
24°
C
42°
D
48°
E
102°
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Cos 48º = 0.6691
Then Sin y = 0.6691 (since sin y = cos 48º)
y = Sin\(^{-1}\) 0.6691 = 42º
Source: Myschool Past Questions Archive (Record #42532)
Mathematics
NECO SSCE 2008
Number and Numeration
Solution
Simplify the expression: \(Log_{4}16\) + \(Log_{3}27\) + \(Log_{8}4096\)
A
-9
B
\(\frac{1}{3}\)
C
\(\frac{1}{9}\)
D
3
E
9
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
WHERE:
\(Log_{4}16\) = 2
\(Log_{3}27\) = 3
\(Log_{8}4096\) = 4
: 2 + 3 + 4 = 9
Source: Myschool Past Questions Archive (Record #42536)
Mathematics
NECO SSCE 2008
Number and Numeration
Solution
The radii of two similar cylindrical jugs are in the ratio 3:7. Calculate the ratio of their volumes
A
1 : 04
B
3 : 07
C
9 : 49
D
0.086111111
E
27 : 343
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
radius ratio volume
r = \(r^3\)
so that
3 : 7 = \(3^3 : 7^3\) = 27 : 343
Source: Myschool Past Questions Archive (Record #42540)
Mathematics
NECO SSCE 2008
Number and Numeration
A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he covered?
A
262.5
B
945
C
970
D
995
E
1822.9
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 #42543)
Mathematics
NECO SSCE 2008
Statistics and Probability
The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years?
A
18
B
23
C
25
D
36
E
70
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #42546)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
2 bags of sugar at Nx per bag are mixed with 3 bags of sugar at Ny per bag. What is the cost in N of the mixture per bag?
A
\(\frac{(2x + 3y)}{5}\)
B
\(\frac{(x + y)}{2}\)
C
\(\frac{x}{2} +\frac{y}{3}\)
D
\(\frac{(x + y)}{5}\)
E
\(\frac{(3x + 2y)}{5}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #42575)