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Mathematics
NECO SSCE 2002
Indices, Logarithms & Surds
Solution
If \(\frac{t}{L}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when L = 4.5; t = 5 secs
A
3.20 ms2
B
11.31 ms2
C
32.00 ms2
D
56.57 ms2
E
160.00 ms2
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{t}{L}\) = \(\sqrt{(\frac{4\pi^2}{g}})\)
Take square of both sides
\(\frac{t^2}{L^2}\) = \(\frac{4\pi^2}{g}\)
Cross multiply
t\(^2\)g = L\(^2\)4\(\pi\)\(^2\)
g = \(\frac{4\pi^2L^2}{t^2}\)
g = \(\frac{4 \times 4.5 \times 4.5 \pi^2}{5^2}\)
g = \(\frac{799.44}{25}\) = 31.9776 ≈ 32m/s\(^2\)
Source: Myschool Past Questions Archive (Record #42078)
Mathematics
NECO SSCE 2002
Permutations, Combinations & Probability
The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?
A
\(\frac{27}{125}\)
B
\(\frac{9}{25}\)
C
\(\frac{72}{125}\)
D
\(\frac{76}{125}\)
E
\(\frac{81}{125}\)
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 #42107)
Mathematics
NECO SSCE 2002
Mensuration (Areas, Perimeters & Volumes)
Solution
What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures?
A
440cm\(^2\)
B
220cm\(^2\)
C
88cm\(^2\)
D
44cm\(^2\)
E
22cm\(^2\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
T.S.A of a cylinder = \(2\pi r (r + h)\)
= \(2 \times \frac{22}{7} \times 2 (2 + 1.5)\)
= 44 cm\(^2\)
Source: Myschool Past Questions Archive (Record #42130)
Mathematics
NECO SSCE 2002
Permutations, Combinations & Probability
One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?
A
\(\frac{2}{3}\)
B
\(\frac{3}{8}\)
C
\(\frac{7}{24}\)
D
\(\frac{1}{4}\)
E
\(\frac{1}{24}\)
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 #42154)
Mathematics
NECO SSCE 2002
Linear, Simultaneous & Quadratic Equations
A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is
A
x2 + 3x + 4 = 0
B
8x2 + 10x + 3 = 0
C
8x2 +12x – 3 = 0
D
8x2 + 10x-3.= 0
E
8x2 + 12x + 3 = 0
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 #42161)
Mathematics
NECO SSCE 2002
Linear, Simultaneous & Quadratic Equations
Solution
What are the factors of 2x\(^2\) - xy - 3y\(^2\) ?
A
(2x + 3y)(x + y)2
B
(2x + 3y)(x + y)
C
(2x + 3y)(x - y)
D
(2x - 3y)(x + y)
E
(2x - 3y)(x - y)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
2x\(^2\) - xy - 3y\(^2\)
= 2x\(^2\) + 2xy - 3xy - 3y\(^2\)
= 2x(x + y) - 3y(x + y)
= (2x - 3y)(x + y)
Source: Myschool Past Questions Archive (Record #42170)
Mathematics
NECO SSCE 2002
Indices, Logarithms & Surds
If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?
A
\(\frac{1}{\sqrt{3}}\)
B
\(\frac{2}{\sqrt{3}}\)
C
\(\frac{1}{2}\)
D
\(\frac{\sqrt{3}}{2}\)
E
\(\sqrt{3}\)
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 #42179)
Mathematics
NECO SSCE 2002
Fractions, Decimals, Percentages & Approximations
Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?
A
N45.00
B
N42.50
C
N40.00
D
N35.50
E
N25.80
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 #42182)
Mathematics
NECO SSCE 2002
Fractions, Decimals, Percentages & Approximations
Solution
When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%?
A
N4800.00
B
N400
C
N1800.00
D
N1500.00
E
N960.00
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
When a shirt is sold for ₦12,000 at a 20% loss, it means ₦12,000 is 80% of the cost price.
Find the Cost Price (CP)
CP = \(\frac{12,000}{80\%} = \frac{12,000}{0.8}\) = ₦15,000
Find the selling price for 20% gain
To gain 20%, the new selling price should be 120% of the cost price.
SP = 120\(\% \text{ of } ₦15,000 = 1.2 \times\) 15,000 = ₦18,000.
Source: Myschool Past Questions Archive (Record #42187)
Mathematics
NECO SSCE 2002
Linear, Simultaneous & Quadratic Equations
What must be added to 3x2 - 5x to make it a perfect square?
A
\(\frac{36}{25}\)
B
\(\frac{25}{36}\)
C
-\(\frac{25}{36}\)
D
-\(\frac{5}{6}\)
E
-\(\frac{6}{5}\)
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 #42195)
Mathematics
NECO SSCE 2002
Inequalities & Linear Programming
Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?
A
x > 3
B
x ≥ 3
C
x ≤ 3
D
x < 3
E
x ≤ -3
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 #42197)
Mathematics
NECO SSCE 2002
Plane Geometry, Polygons & Circle Theorems
Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x2 - 1)]
A
- 3x ÷ (x2 - 1)
B
- x ÷ (x2 -1)
C
x ÷ (x2 - 1)
D
(x + 1) ÷ (x2 - 1)
E
(x + 4) ÷ (x2 - 1)
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 #42199)
Mathematics
NECO SSCE 2002
Plane Geometry, Polygons & Circle Theorems
The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?
A
1.52m
B
1.53m
C
1.54
D
1.55m
E
1.56m
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 #42201)
Mathematics
NECO SSCE 2002
Trigonometry, Elevation & Bearings
Solution
A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35^\circ, how far is the money from the girl?
A
20.64m
B
29.48m
C
44.49m
D
49.55m
E
62.76m
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
make a sketch
using trig.ratios
Sin\(\theta\) = \(\frac{opp}{hyp}\)
Sin35 = \(\frac{36}{hyp}\)
hyp = \(\frac{36}{sin35}\) = 62.76m
∴ the distance between the girl and the #10.00 note = 62.76m.
Source: Myschool Past Questions Archive (Record #42205)
Mathematics
NECO SSCE 2002
Fractions, Decimals, Percentages & Approximations
After what length of time will N2400.00 yield an interest of N60.00 at 1\(\frac{1}{2}\)% per annum?
A
2\(\frac{4}{5}\) years
B
1\(\frac{2}{3}\) years
C
1\(\frac{1}{2}\) years
D
1 years
E
\(\frac{3}{5}\) year
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 #42209)