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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
Number and Numeration
The ages of 10 students in a class are; 15, 16, 15.5, 17, 14.9, 14.5, 14.1, 15.1, 14.8. find the range of their ages.
A
6.1
B
4.8
C
2.9
D
2.1
E
1.9
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 #42578)
Mathematics
NECO SSCE 2008
Number and Numeration
Find the coefficient of xy in the expansion of (x - 4y)(3x + 2y)
A
14
B
12
C
10
D
-10
E
-12
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 #42587)
Mathematics
NECO SSCE 2008
Number and Numeration
If y + \(\frac{1}{y}\) = 9, evaluate y2 + \(\frac{1}{y^2}\)
A
27
B
38
C
54
D
63
E
79
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 #42625)
Mathematics
NECO SSCE 2008
Number and Numeration
Solution
If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years?
A
N2,500.00
B
N5,000.00
C
N12,500.00
D
N27,500.00
E
N125,000.00
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Simple Interest = Principal x Rate x Time
Where: Principal = N25,000, Rate = 2% or 0.02 and Time = 5 years
Plugging in the values:
Simple Interest = N25,000 x 0.02 x 5 Simple Interest = N25,000 x 0.1 Simple Interest = N2,500
To find the total amount at the end of 5 years, we add the simple interest to the principal:
Total Amount = Principal + Simple Interest Total Amount = N25,000 + N2,500 Total Amount = N27,500
Therefore, at the end of 5 years, the total amount would be N27,500.
Source: Myschool Past Questions Archive (Record #42629)
Mathematics
NECO SSCE 2008
Number and Numeration
Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)
A
(44 + 3\(\sqrt{3}\)) ÷ 83
B
(44 + 2\(\sqrt{3}\)) ÷ 83
C
(44 - 3\(\sqrt{3}\)) ÷ 83
D
(44 - 4\(\sqrt{3}\)) ÷ 83
E
(44 - 2\(\sqrt{3}\)) ÷ 83
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 #42649)
Mathematics
NECO SSCE 2008
Number and Numeration
Multiply (3\(\sqrt{a}\) - 4a) by (4a + 3\(\sqrt{a}\))
A
9a + 16a2
B
9a – 16a2
C
3a + 16a2
D
3a - 16a2
E
a - 16a2
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 #42658)
Mathematics
NECO SSCE 2008
Number and Numeration
If A = \(\frac{1}{2}\)h (a + b), make ‘a’ the subject of the formula
A
(2A – 2bh) ÷ b
B
(2A – bh) ÷ h
C
(2A – bh) ÷ b
D
(A – 2bh) ÷ h
E
(2A – h) ÷ bh
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 #42661)
Mathematics
NECO SSCE 2008
Number and Numeration
Solution
T varies inversely as the square root of F when T = 7, F = 2\(\frac{1}{4}\). Find T when F = \(\frac{27}{9}\)
A
1.5
B
6.1
C
6.3
D
12.6
E
21
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
T ∝ \(\frac{1}{\sqrt{F}}\)
T = \(\frac{K}{\sqrt{F}}\)
K = T x \(\sqrt{F}\)
K = 7 x \(\frac{3}{2}\) = 10.5
T = \(\frac{10.5}{\sqrt{F}}\)
T = T = \(\frac{10.5}{\sqrt{3}}\) ≈ 6.1
Source: Myschool Past Questions Archive (Record #42664)
Mathematics
NECO SSCE 2008
Number and Numeration
Evaluate (25 × 4-2) ÷ (2-3 × 26)
A
9
B
8
C
3
D
\(\frac{8}{9}\)
E
\(\frac{1}{4}\)
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 #42665)
Mathematics
NECO SSCE 2008
Number and Numeration
If 5x - 3 = 4x - 7, what is the value 6x?
A
24
B
6
C
4
D
-4
E
-24
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 #42666)
Mathematics
NECO SSCE 2008
Number and Numeration
P = {x:(x - 2)(x + 3) (x - 4)(x + 5) = 0}. The elements in P are
A
-5,-2, 3, 4
B
-5, -3, 2, 4
C
-5, -3, -2,4
D
-4, -3, -2, 5
E
2, 3, 4, 5
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 #42668)
Mathematics
NECO SSCE 2008
Number and Numeration
Find the value of log\(_{\sqrt{3}}\) 81
A
81
B
16
C
8
D
3
E
\(\sqrt{3}\)
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 #42669)
Mathematics
WAEC / WASSCE 2008
Number and Numeration
Solution
(a) Without using calculator or tables, find the value of \(\log 3.6\) given that \(\log 2 = 0.3010, \log 3 = 0.4771\) and \(\log 5 = 0.6990\).
(b) If all numbers in the equation \(\frac{y}{y + 101} = \frac{11}{10010}\) are in base two, solve for y.
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
(a) \(\log 3.6 = \log (\frac{18}{5})\)
\(\log 18 - \log 5 = \log (2 \times 3^{2}) - \log 5\)
\(\log 2 + \log 3^{2} - \log 5 = \log 2 + 2\log 3 - \log 5\)
= \(0.3010 + 2(0.4771) - 0.6990\)
= \(0.3010 + 0.9542 - 0.6990\)
= \(0.5562\).
(b) \(\frac{y}{y + 101} = \frac{11}{10010}\) (all in base 2)
Cross multiplying,
\(11(y + 101) = 10010y\)
\(11y + 1111 = 10010y\)
\(10010y - 11y = 1111\)
\(1111y = 1111\)
\(y = 1\).
Source: Myschool Past Questions Archive (Record #52935)