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Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
If (x - a) is a factor of bx - ax + x2 - ab, what is the other factor?
A
(x + b)
B
(b - a)
C
(x - a)
D
(a + b)
E
(a - b)
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 #42358)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
Solution
Simplify (6 - x - x2) \div (x2 - 4)
A
(3 + x) ÷ (x + 2)
B
(x - 3) ÷ (x - 2)
C
(x - 3) ÷ (x + 3)
D
(3 - x) ÷ (x + 2)
E
(3 - x) ÷ (x - 2)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
(6 - x - x2) = ( 2 - x ) ( 3 + x )
divides
( x^2 - 4 ) = ( -2 - x ) ( 2 - x )
= ( 3 + x ) / ( x + 2)
Source: Myschool Past Questions Archive (Record #42360)
Mathematics
NECO SSCE 2005
Statistics (Data Representation, Central Tendency & Dispersion)
Find the absolute mean deviation of the sample 10, 12, 14, 11, 13.
A
14.6
B
14
C
12
D
6.2
E
1.2
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 #42362)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
In Δ ABC, A = 60°, C = 90° and AC = 12m. Find the Length of the hypotenuse.
A
24m
B
14m
C
12m
D
7m
E
6m
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 #42364)
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)