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Mathematics NECO SSCE 2002 Statistics and 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
Mathematics NECO SSCE 2002 Algebra
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
Mathematics NECO SSCE 2002 Number and Numeration
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
Mathematics NECO SSCE 2002 Geometry and Trigonometry
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
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
Mathematics NECO SSCE 2002 Geometry and Trigonometry
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
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
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
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
Mathematics NECO SSCE 2002 Statistics and Probability
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
Mathematics NECO SSCE 2002 Number and Numeration
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
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
Mathematics NECO SSCE 2002 Algebra
Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)
A
\(\frac{17}{30}\)
B
\(\frac{65}{102}\)
C
\(\frac{25}{34}\)
D
\(\frac{102}{75}\)
E
\(\frac{34}{25}\)
medium Difficulty
Mathematics NECO SSCE 2002 Number and Numeration
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
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
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