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Mathematics
NECO SSCE 2002
Number and Numeration
What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?
A
7.07cm\(^3\)
B
50.0cm\(^3\)
C
125.0cm\(^3\)
D
353.4cm\(^3\)
E
625.0cm\(^3\)
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 #42018)
Mathematics
NECO SSCE 2002
Number and Numeration
If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?
A
T = (a2s2 – 1)
B
T = (a2s2– 1) ÷ a
C
T = a ÷ (a2 - s2)
D
T = a ÷ (a2s2 – 1)
E
T = (as – 1)2
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 #42034)
Mathematics
NECO SSCE 2002
Number and Numeration
What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?
A
312cm\(^2\)
B
96cm\(^2\)
C
36cm\(^2\)
D
24cm\(^2\)
E
12cm\(^2\)
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 #42040)
Mathematics
NECO SSCE 2002
Number and Numeration
The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?
A
60m
B
60\(\sqrt{3}\)m
C
80\(\sqrt{3}\)m
D
120\(\sqrt{3}\)m
E
240m
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 #42070)
Mathematics
NECO SSCE 2002
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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
Number and Numeration
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)
Mathematics
NECO SSCE 2002
Number and Numeration
Solution
An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R
A
3 : 1 : 4
B
3 : 2 : 1
C
3 : 2 : 4
D
3 : 3 : 4
E
3 : 2 : 8
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
P gets 3 Q gets 2, Q gets 1 and R gets R
When Q gets 1 then P will get \(\frac{3}{2}\)
P : Q: R = \(\frac{3}{2}\) : 1 : 4
multiplying through by 2, we have
3 : 2: 8.
Source: Myschool Past Questions Archive (Record #42215)
Mathematics
NECO SSCE 2002
Number and Numeration
Simplify 2a2 -4ab - 6a2 - 10ab + 5ab - 5a2
A
-9(a + b)
B
9(a + b)
C
-9a (a + b)
D
9a(a - b)
E
9b(a + b)
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 #42218)