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Biology
NECO SSCE 2005
Science of Living Things
The medium of transportation in higher plants is
A
cell sap
B
cytoplasm fluid
C
phloem
D
water
E
xylem
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #42298)
Biology
NECO SSCE 2005
Science of Living Things
An organism with identical allelic genes is described as
A
dihybrid
B
heterozygous
C
homozygous
D
monohybrid
E
recessive
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #42306)
Biology
NECO SSCE 2005
Science of Living Things
Which of the following organisms maintains a fairly constant body temperature?
A
Chicken
B
Fish
C
Lizard
D
Toad
E
Snake
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #42307)
Biology
NECO SSCE 2005
Science of Living Things
The medium of transportation in higher plants is
A
cell sap
B
cytoplasm fluid
C
phloem
D
water
E
xylem
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Official Exam / Past Question Archive
Mathematics
NECO SSCE 2004
Number and Numeration
Solution
Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)
A
10001\(_{two}\)
B
11001\(_{two}\)
C
110001\(_{two}\)
D
11010\(_{two}\)
E
10001\(_{two}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Convert each value to decimal (base 10)
\(1011_{two}\) → 11
+ \(1101_{two}\) → 13
+ \(1001_{two}\) → 9
- \(111_{two}\) → 7
: 11 + 13 + 9 - 7 = 26
26 → \(11010_{two}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #42253)
Mathematics
NECO SSCE 2004
Number and Numeration
Solution
Simplify \((216^{{\frac{1}{3}}})^{-2}\)
A
\(\frac{1}{36}\)
B
\(\frac{1}{18}\)
C
\(\frac{1}{13}\)
D
\(\frac{1}{6}\)
E
\(\frac{1}{3}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\((216^{\frac{1}{3}})^{-2}\)
= \(216^{\frac{-2}{3}}\)
= (3\sqrt216)\(^{-2}\)
= (6)\(^{-2}\)
= \(\frac{1}{6^2}\)
=\(\frac{1}{36}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #42297)
Mathematics
NECO SSCE 2004
Number and Numeration
Solution
Divide the LCM of 15abc and 20a\(^2\)bc by their HCF
A
10a
B
12a
C
5abc
D
12a2bc
E
60a2bc
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
LCM of 15abc and 20a\(^2\)bc = 60a\(^2\)bc
Factors of 15abc = 1, 3, 5,15, a, b, c
and of 20a\(^2\)bc = 1, 2, 4, 5, 10, 20, a, b, c
HCF of 15abc and 20a\(^2\)bc = 5abc
→ LCM \div HCF = 60a\(^2\)bc \div 5abc
= 12a
Source: WAEC / JAMB / NECO Classroom Archive (Record #42299)
Mathematics
NECO SSCE 2004
Algebra
Solution
The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?
A
64
B
48
C
43
D
24
E
11
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
first term[a] = 3 * d → 3 * 8 = 24
sixth term of the A.P = a + 5d → 24 + [5 * 8]
⇒ 24 + 40 = 64
Source: WAEC / JAMB / NECO Classroom Archive (Record #42305)
Mathematics
NECO SSCE 2004
Geometry and Trigonometry
Solution
A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man
A
50° 54′
B
35° 06′
C
30° 00′
D
290 90′
E
29° 54′
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
From the diagram above,
Tan \(\alpha\) = \(\frac{\text{opp}}{\text{Adj}}\)
Tan \(\alpha\) = \(\frac{23}{40}\) = 0.575
\(\alpha\) = Tan\(^{-1}\) 0.575 ≈ 29.899
In degrees per minute = 29 + 0.89 x 60 = 29^\circ 54¹
Source: WAEC / JAMB / NECO Classroom Archive (Record #42332)
Physics
NECO SSCE 2004
Work, Energy and Power
Solution
A force F is applied to a body P as shown in the diagram above. If the body moves through a distance, a, which of the following represents the work done?
A
Fa
B
Fa Cos θ
C
\(\frac{Fa}{\cos \theta}\)
D
FaSin θ
E
\(\frac{Fa}{\sin \theta}\)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Resolving the Force F into x and y components;
\(F_x = Fcos\theta\)
\(F_y = Fsin\theta\)
but workdone = Force x distance.
therefore, work done = \(Fcos\theta \times a = FaCos \theta\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #42958)
Physics
NECO SSCE 2004
Electric Field
Solution
Calculate the magnitude of the electric field intensity in a vacuum at a distance of 25cm from a charge of 5 × 10-3C. Take (\(\frac{1}{4πε0} = 9\times10^9Nm^2C^{-2}\))
A
7.2 × 108NC-1
B
1.8 × 108NC-1
C
5.6 × 108NC-1
D
3.6 × 108NC-1
E
1.5 × 106NC-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Electric field intensity = \(\frac{q}{ 4\piε₀r^2}\) r = 0.25m
= \(\frac{9 \times10^9 \times 5 \times 10^{-3}}{0.25^2}\)
= \(7.20 \times 10^8NC^{-1}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #42965)
Mathematics
NECO SSCE 2004
Number and Numeration
Solution
Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (\pi = \(\frac{22}{7}\))
A
12.8cm2
B
25.7cm2
C
77.0cm2
D
154.0cm2
E
179.7cm2
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Surface area of a sphere
\(A = 4\pi r^2 \)
\(r = 3.5 = \frac{7}{2},\quad \pi = \frac{22}{7}\)
\(A = 4 \times \frac{22}{7} \times \left(\frac{7}{2}\right)^2 = 4 \times \frac{22}{7} \times \frac{49}{4}\) = 154
Source: Myschool Past Questions Archive (Record #42247)
Mathematics
NECO SSCE 2004
Geometry and Trigonometry
Solution
Two angles of a triangle are 45º each and its longest side is 12cm. Find the length of one of the other sides
A
12cm
B
9\(\sqrt{2}\)cm
C
6\(\sqrt{2}\)cm
D
6cm
E
3\(\sqrt{2}\)cm
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Two angles of a triangle are 45º each and its longest side is 12cm, this simply describes an isosceles triangle
two equal angles and two equal sides
using Pythagoras theorem,
\(x^2 + x^2 = 12^2\)
\(2x^2\) = 144
\(x^2\) = 72( after dividing b/sides by 2)
x = \(\sqrt{72} = 6\sqrt{2}\)cm.
Source: Myschool Past Questions Archive (Record #42248)
Mathematics
NECO SSCE 2004
Algebra
Solution
The nth term of a sequence is given as \(4 \times 3^{(3 - n)}\). Calculate the third term.
A
12
B
32
C
4
D
3
E
1
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(4 \times 3^{(3 - n)}\)
for the third term, n = 3
then
\(4 \times 3^{(3 - 3)}\) = \(4 \times 3^{0}\) = 4 x 1 = 4.
Source: Myschool Past Questions Archive (Record #42249)
Mathematics
NECO SSCE 2004
Number and Numeration
If y varies inversely as x2, how does x vary with y?
A
x varies inversely as y2
B
x varies inversely as \(\sqrt{y}\)
C
x varies directly as y2
D
x varies directly as \(\sqrt{y}\)
E
x varies directly as y
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 #42250)