Question Library
Browse, filter, and study verified past examination questions with step-by-step mathematical reasoning.
Searching 18,000+ Questions...
Sifting topics, KaTeX formulas & verified solutions
Showing 2101–2115 of 4910 verified questions
Sort by:
Mathematics
NECO SSCE 2008
Fractions, Decimals, Percentages & Approximations
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
Trigonometry, Elevation & Bearings
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
Indices, Logarithms & Surds
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
Fractions, Decimals, Percentages & Approximations
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
Fractions, Decimals, Percentages & Approximations
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
Plane Geometry, Polygons & Circle Theorems
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
Plane Geometry, Polygons & Circle Theorems
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)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
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
Sequences & Series (AP & GP)
Solution
If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively.
A
1, 2
B
2, 2
C
2, 3
D
3, 2
E
3,3
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Given the 3rd and 5th terms of an A.P. are 6 and 10 respectively, we have:
The formula for the \( n \)-th term of an A.P. is given by:
\(T_n = a + (n-1)d\)
where \( a \) is the first term and \( d \) is the common difference.
For the 3rd term:
\(T_3 = a + 2d = 6 \quad \text{(Equation 1)}\)
For the 5th term:
\(T_5 = a + 4d = 10 \quad \text{(Equation 2)}\)
From these equations, we have:
\(a + 2d = 6 \tag{1}\)
\(a + 4d = 10 \tag{2}\)
Subtract Equation 1 from Equation 2:
\((a + 4d) - (a + 2d) = 10 - 6\)
This simplifies to:
\(2d = 4\)
Thus,
\(d = 2\)
Substituting \( d = 2 \) into Equation 1:
\(a + 2(2) = 6\)
This simplifies to:
\(a + 4 = 6\)
Thus,
\(a = 2\)
The first term \( a \) is \( 2 \) and the common difference \( d \) is \( 2 \).
Source: Myschool Past Questions Archive (Record #42580)
Mathematics
NECO SSCE 2008
Fractions, Decimals, Percentages & Approximations
Solution
A pair of shoes was sold for N2,250.00 at a loss of 10%. What was the cost price?
A
N750.00
B
N2,500.00
C
N2,538.00
D
N3,288.00
E
N4,038.00
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Using: CP = \(\frac{SP \times 100}{100 − L%}\)
L% = 10
SP = 2250
CP = \(\frac{2250 \times 100}{100 − 10}\) = \(\frac{225000}{90}\) = #2500
Source: Myschool Past Questions Archive (Record #42583)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
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
Inequalities & Linear Programming
Which of the following angular inequalities defines an obtuse angle?
A
0° < x < 90°
B
0° ≤ x > 180°
C
90° < x < 180°
D
90° ≤ x < 180°
E
90° > x < 180°
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 #42594)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
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
Fractions, Decimals, Percentages & Approximations
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
Linear, Simultaneous & Quadratic Equations
Construct a quadratic equation whose roots are -\(\frac{3}{2}\) and 7
A
3x2 + 11x + 21 = 0
B
2x2 + 11x + 21 = 0
C
2x2 - 11x – 21 = 0
D
3x2 - 11x - 21 = 0
E
x2 - 11x – 21 = 0
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 #42634)