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 14881–14895 of 29821 verified questions
Sort by:
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
For what value(s) of x is the expression (x2 + 15x + 50) ÷ (x - 5) not defined
A
-5, -10
B
-10
C
-5
D
5
E
10, 5
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 #42368)
Mathematics
NECO SSCE 2005
Indices, Logarithms & Surds
Solution
Evaluate log 18 + log6 - log16\(^{\frac{1}{2}}\)
A
log 3
B
log 9
C
log 20
D
3 log 2
E
3 log 3
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
To evaluate the expression \( \log 18 + \log 6 - \log 16^{\frac{1}{2}} \), we can use the properties of logarithms.
Simplify \( \log 16^{\frac{1}{2}} \)
Using the power rule of logarithms: \(\log 16^{\frac{1}{2}} = \frac{1}{2} \log 16\)
Substitute back into the expression:
Now rewrite the expression: \(\log 18 + \log 6 - \frac{1}{2} \log 16\)
Combine the logarithms:
Using the product property of logarithms: \(\log 18 + \log 6 = \log (18 \cdot 6) = \log 108\)
So we can rewrite the expression as: \(\log 108 - \frac{1}{2} \log 16\)
Rewrite \( \frac{1}{2} \log 16\)
Using the power rule again: \(\frac{1}{2} \log 16 = \log 16^{\frac{1}{2}} = \log 4\)
Substitute back;
Now we have: \(\log 108 - \log 4\)
Using the quotient property of logarithms: \(\log \left( \frac{108}{4} \right)\)
Simplify \(\frac{108}{4}\)
Calculating: \(\frac{108}{4}\) = 27
Thus, the expression simplifies to: log 27 = 3log3
NOTE: all is in base 10.
Source: Myschool Past Questions Archive (Record #42373)
Mathematics
NECO SSCE 2005
Permutations, Combinations & Probability
A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours?
A
1
B
\(\frac{13}{26}\)
C
\(\frac{5}{18}\)
D
\(\frac{4}{9}\)
E
\(\frac{2}{9}\)
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 #42378)
Mathematics
NECO SSCE 2005
Fractions, Decimals, Percentages & Approximations
A car dealer sells a car and makes a profit of 15%. If the car costs N320,000.00, how much did he sell the car?
A
N272,000.00
B
N296,000.00
C
N300,000.00
D
N368,000.00
E
N400,000.00
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 #42379)
Mathematics
NECO SSCE 2005
Sets, Logic & Venn Diagrams
If A(I,2,3,...,10) ; B = (-5,-4,.....,-1) ; C = (-1, 0, 1, 2,....5) List all the elements in (B ∪ C) ∩ A
A
(-1,2,...5)
B
(-1,1,....5)
C
(1,2,..5)
D
(2,3,...10)
E
(1,2,...10)
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 #42382)
Mathematics
NECO SSCE 2005
Fractions, Decimals, Percentages & Approximations
What is the positive difference between the squares of 2.5 and 2.1 to 1 significant figures?
A
– 2.0
B
– 184
C
-1.84
D
2
E
18.4
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 #42385)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
Find the value of 2a - b if a + b = 8 and 4a - b = 22
A
2
B
4
C
6
D
8
E
10
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 #42388)
Mathematics
NECO SSCE 2005
Trigonometry, Elevation & Bearings
A flagpole is placed at the top of a tower. The angles of elevation of the bottom and top of the flagpole from a point on the ground 10m away are 40° and 50° respectively. Find the length of the flagpole.
A
1.8m
B
3.5m
C
8.4m
D
11.9m
E
17.3m
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 #42391)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
Find the Iength of a diagonal of a square whose area is 288cm2.
A
24cm
B
48cm
C
95cm
D
100cm
E
124cm
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 #42394)
Mathematics
NECO SSCE 2005
Linear, Simultaneous & Quadratic Equations
Solve for x in the quadratic equation. 2x2 + 12x + 10 = 0
A
x = -5, -1
B
x = -5,1
C
x = -3, -2
D
x = 3, 2
E
x = 6, 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 #42413)
Mathematics
NECO SSCE 2005
Fractions, Decimals, Percentages & Approximations
A surveyor measured the length of a obtained 42.55 metres. If his measurement was more than the actual length and the percentage error of his measurement was 8%, calculate the actual length of the land
A
39.40 metres
B
46.20 metres
C
46.25 metres
D
46.50 metres
E
48.25 metres
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 #42414)
Mathematics
NECO SSCE 2005
Indices, Logarithms & Surds
Solution
If x + \(\frac{1}{x}\) = 8, find x\(^2\) + \(\frac{1}{x^2}\)
A
64
B
62
C
32
D
16
E
4
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Given that \(x + \frac{1}{x} = 8\)
We want to find
\(x^2 + \frac{1}{x^2}\)
We can use the identity:
\(x^2 + \frac{1}{x^2} = \left( x + \frac{1}{x} \right)^2 - 2\)
Substituting the given value:
\(x^2 + \frac{1}{x^2} = 8^2 - 2\)
Calculating \( 8^2 \):
\(8^2 = 64\)
Now substituting back:
\(x^2 + \frac{1}{x^2} = 64 - 2 = 62\)
Thus, the final answer is \(x^2 + \frac{1}{x^2} = 62\)
Source: Myschool Past Questions Archive (Record #42419)
Mathematics
NECO SSCE 2005
Indices, Logarithms & Surds
Solution
Evaluate 0.0025 \times 2.5 \times 10\(^2\) to 2 significant figures.
A
0.625 × 10-3
B
0.63 × 10-2
C
6.25 × 10-3
D
6.3 × 10-2
E
6.3 × 10-1
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
0.0025 \times 2.5 \times 10\(^2\)
0.0025 \times 2.5 \times 10\(^2\) = 0.0025 x 2.5 x 100 = 0.625 ≈ 0.63 to 2 significant figures.
6.3 \times 10\(^{-1}\)
Source: Myschool Past Questions Archive (Record #42422)
Mathematics
NECO SSCE 2005
Trigonometry, Elevation & Bearings
A ship sails 6km from a port on a bearing 070° and then 8km on a bearing of 040°. Find the distance from the port.
A
7.21km
B
13.53km
C
16.86km
D
44.57km
E
67.17km
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 #42431)
Mathematics
NECO SSCE 2005
Trigonometry, Elevation & Bearings
Calculate without using tables Tan 45° + Cos 60°
A
\(\sqrt{\frac{3}{2}}\) - 1
B
\(\frac{1}{2}\)
C
1\(\frac{1}{2}\)
D
\(\sqrt{\frac{3}{2}}\) + 1
E
2
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 #42438)