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Biology
NECO SSCE 2008
Science of Living Things
Solution
What will the phenotypic ratio when a tall pea plant (TT) is crossed with a short pea plant (Tt)?
A
0:04
B
1:03
C
2:02
D
3:01
E
4:00
medium Difficulty
Verified Correct Answer: Option E
Biological Concept & Syllabus Guide
The phenotypic ratio will be two homozygous tall and two heterozygous tall...
That implies that all four offsprings will come out tall.
Source: Official Exam / Past Question Archive
Mathematics
NECO SSCE 2005
Number and Numeration
Solution
What is the Value of 11101\(_{two}\)+ 10011\(_{two}\) - 10001\(_{two}\)?
A
10001\(_{two}\)
B
10011\(_{two}\)
C
10111\(_{two}\)
D
11111\(_{two}\)
E
111111\(_{two}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
11101\(_{two}\) → 29
+ 10011\(_{two}\) → 19
- 10001\(_{two}\) → 17
11111 = 31
Source: WAEC / JAMB / NECO Classroom Archive (Record #42425)
Physics
NECO SSCE 2005
Reflection of Light
Solution
An object is placed in front of a concave mirror whose radius of curvature is 12cm. If the magnification of the Image produced is 1.5, how far is the object from the mirror?
A
8cm
B
10cm
C
15cm
D
18cm
E
20cm
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Radius of curvature(r)=12cm
focal length(F) = r \div 2 → 12 \div 2 = 6cm
therefore F = 6cm
magnification(M) = v \div u
1.5 = v \div u
:v = 1.5u
Using mirror formula
1/f =1/v + 1/u
\(\frac{1}{6}\) =\(\frac{1}{1.5u}\) + \(\frac{1}{u}\)
\(\frac{1}{6}\) = \(\frac{1 + 1.5}{1.5u}\)
\(\frac{1}{6}\) = \(\frac{2.5}{1.5u}\)
1 * 1.5u = 2.5 * 6
u = \(\frac{15}{1.5}\) = 10
therefore object distance =10cm.
Source: WAEC / JAMB / NECO Classroom Archive (Record #42997)
Physics
NECO SSCE 2005
Sound Wave
Solution
Notes of the same frequency sounded on a guitar and trumpet may differ in
I. loudness
II. Pitch
III. quality Which of the statements above is correct?
A
I only
B
II only
C
III only
D
I and II only
E
I, II and III
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The quality or timbre of sound is that characteristic which enables us to distinguish one sound from another having the same pitch and loudness.
Source: WAEC / JAMB / NECO Classroom Archive (Record #43039)
Physics
NECO SSCE 2005
Application of Lens
Solution
Which of the following is NOT a component of a slide projector?
A
Concave mirror
B
Condenser
C
Convex mirror
D
light source
E
Screen.
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
You will find convex lenses in telescopes, microscopes, magnifying glasses, cameras, slide and movie projectors, and other instruments that use light to create an image.
Source: WAEC / JAMB / NECO Classroom Archive (Record #43037)
Mathematics
NECO SSCE 2005
Geometry and Trigonometry
Solution
The diagonals of a rhombus are 6cm and 8cm. Find the area of the rhombus.
A
96cm2
B
48cm2
C
24cm2
D
0.14cm2
E
12cm2
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Area of a rhombus = \(\frac{pq}{2}\)
where p and q are the two diagonals of the rhombus.
Source: Myschool Past Questions Archive (Record #42350)
Mathematics
NECO SSCE 2005
Number and Numeration
Mohammed is 8 years older than Joy now. In five years’ time he will be twice as old as Joy. How old is Joy now?
A
1\(\frac{1}{2}\)years
B
3years
C
4\(\frac{1}{2}\)years
D
6 years
E
8 years
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 #42354)
Mathematics
NECO SSCE 2005
Number and Numeration
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
Number and Numeration
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 and Probability
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Statistics and 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
Geometry and Trigonometry
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)