Question Library
Browse, filter, and study verified past examination questions with step-by-step mathematical reasoning.
Searching 18,000+ Questions...
Sifting topics, KaTeX formulas & verified solutions
Showing 14896–14910 of 29821 verified questions
Sort by:
Mathematics
NECO SSCE 2005
Fractions, Decimals, Percentages & Approximations
A is at 50°N and B is at 10°N, If A and B are on the same longitude, find the distance AS. Correct your answer to Four significant figures. (Earth radius = 6400km)
A
6468km
B
5469km
C
4470km
D
3470km
E
2488km
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 #42441)
Mathematics
NECO SSCE 2005
Inequalities & Linear Programming
Solution
If a = {x : 1 < x < 9} ; b = {x : 0 < x < 9} ; C = {x : 2 x < 9} and a, b, c U, what are the elements in U?
A
U = {-1 < x < 9}
B
U = {0 < x < 9}
C
U = {1 < x < 9}
D
U = {1 < x < 10}
E
{2 < x < 10}
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
a = {x : 1 < x < 9}: a = {2, 3, 4, 5, 6, 7, 8}
b = {x : 0 < x < 9}: b = {1, 2, 3, 4, 5, 6, 7, 8}
C = {x : 2 < x < 9}; c = {3, 4, 5, 6, 7, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8} = {0 < x < 9}.
Source: Myschool Past Questions Archive (Record #42442)
Mathematics
NECO SSCE 2005
Indices, Logarithms & Surds
If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12?
A
0.0432
B
0.4322
C
1.0791
D
1.2552
E
1.5225
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 #42449)
Mathematics
NECO SSCE 2005
Inequalities & Linear Programming
Solution
If 7 is subtracted from twice a certain number x, the result is at most 5. What is the range of the number?
A
x < 2
B
x < 3
C
x < 4
D
x < 5
E
x < 6
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
At most 5 = less than or equal to 5
2x - 7 \le 5
2x \le 5 + 7
2x \le 12
divide through by 2
x \le 6
Source: Myschool Past Questions Archive (Record #42450)
Mathematics
NECO SSCE 2005
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
Find the standard deviation of the numbers 6, 9, 10, 8 and 7
A
1.4
B
2
C
2.4
D
5
E
8
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
6, 9, 10, 8 and 7
S.D = \(\sqrt{V}\)
S.D = standard deviation, V = variance
V = \(\frac{\sum({x - \overline{x})^2}}{n}\)
Mean(\(\overline{x}\)) = \(\frac{6 + 9 + 10 + 8 + 7}{5}\) = 8
x
x - \(\overline{x}\)
(x - \(\overline{x}\))\(^2\)
6
6 - 8 = -2
4
9
9 - 8 = 1
1
10
10 - 8 = 2
4
8
8 - 8 = 0
0
7
7 - 8 = -1
1
TOTAL = 10
V = \(\frac{\sum({x - \overline{x})^2}}{n}\) = \(\frac{10}{5}\) = 2
S.D = \(\sqrt{V}\) = \(\sqrt{2}\) = 1.414 ≈ 1.4
Source: Myschool Past Questions Archive (Record #42451)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
Simplify P-6 × P3 × P2 ÷ P4 × P0
A
p5
B
p4
C
p3
D
p-3
E
p-5
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 #42454)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
Solution
3 - 7, 8 - 12, 13 - 17, 18 - 22. Which of the following is/are true?
I. The class Interval is 4
II. The class boundaries are 2.5, 7.5, 12.5, 18.5, 22.5
III. The mid-marks are 5, 10, 15, and 20
A
I only
B
II only
C
III only
D
I and II only
E
I and III only
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Given the class intervals: \(3 - 7\), \(8 - 12\), \(13 - 17\), and \(18 - 22\):
The class interval is \(4\):
\(7 - 3 = 4 \quad \text{(True)}\)
Class boundaries are \(2.5, 7.5, 12.5, 18.5, 22.5\):
- Correct boundaries: \(2.5, 7.5, 12.5, 17.5, 22.5\) False.
Mid-marks are \(5, 10, 15, 20\):
\(\text{Mid-mark} = \frac{\text{Lower} + \text{Upper}}{2}\)
- \(3 - 7: 5\)
- \(8 - 12: 10\)
- \(13 - 17: 15\)
- \(18 - 22: 20\) True.
Source: Myschool Past Questions Archive (Record #42455)
Mathematics
NECO SSCE 2005
Variations
Solution
T varies directly as D and inversely as A. Given that T = 6, D = 3, and A = 2, find A when T = 3 and D = 6.
A
4
B
6
C
8
D
12
E
24
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
T = \(\frac{ \text{KD}}{\text{A}}\)
6 = \(\frac{3K}{2}\)
3K = 12
K = 4
T= \(\frac{4D}{A}\)
but T = 3, D = 6 and A =?
T = \(\frac{4D}{A}\)
A = \(\frac{4D}{T}\)
A = \(\frac{4 \times 6}{3}\) = 8
Source: Myschool Past Questions Archive (Record #42456)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
A chord 20cm long subtends an angle of 60° at the circumference of a circle, what is the diameter of the circle the nearest cm?
A
12cm
B
20cm
C
23cm
D
60cm
E
80cm
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 #42458)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
If 25a2 = 5-1 × 125. Find the value of a?
A
a = -1
B
a = 1
C
a = ±1
D
a = ±5
E
a = 25
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 #42460)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
The parallel sides of a trapezium are 13cm and 7cm. If the area of the trapezium is 50cm2, find the perpendicular distance between the parallel sides.
A
5cm
B
6cm
C
7cm
D
10cm
E
12cm
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 #42462)
Mathematics
NECO SSCE 2005
Permutations, Combinations & Probability
Two fair dice are tossed together once. What is the probability of getting a total of at least 9 from the outcome?
A
\(\frac{1}{9}\)
B
\(\frac{1}{6}\)
C
\(\frac{5}{18}\)
D
\(\frac{1}{3}\)
E
\(\frac{13}{18}\)
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 #42465)
Mathematics
NECO SSCE 2005
Plane Geometry, Polygons & Circle Theorems
If 2x : ( x + 1) = 3 : 2, what is the value of x?
A
\(\frac{1}{2}\)
B
1
C
1\(\frac{1}{2}\)
D
3
E
3\(\frac{1}{2}\)
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 #42467)
Mathematics
NECO SSCE 2005
Linear, Simultaneous & Quadratic Equations
Solution
If y\(^2\)+ 14y + k is a perfect square, then k =
A
4
B
7
C
28
D
49
E
196
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
y\(^2\)+ 14y + k
let a = 1, b = 14, c = k (where a and b represent the coefficient of y and y\(^2\) respectively)
4ac = b\(^2\)
4 x 1 x c = 14 x 14 = 196
4c = 196
c = \(\frac{196}{4}\) = 49
Source: Myschool Past Questions Archive (Record #42469)
Mathematics
WAEC / WASSCE 2005
Indices, Logarithms & Surds
Solution
(a) Evaluate without using the mathematical table or calculator, \(\log_{10} \sqrt{30} - \log_{10} \sqrt{6} + \log_{10} \sqrt{2}\).
(b)
\(U = {1, 2, 3, ..., 10} ; A = {1, 2, 3, 4, 5} ; B = {2, 3, 5}\) and \(C = {6, 8, 10}\). (i) Given that the Venn diagram represents the sets above, copy and fill in the elements.
(ii) Find \(A \cap C\) ; (iii) Find \(A \cap B'\).
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
(a) \(\log_{10} \sqrt{30} - \log_{10} \sqrt{6} + \log_{10} \sqrt{2}\)
= \(\log_{10} (\sqrt{\frac{30}{6}} \times \sqrt{2})\)
= \(\log_{10} (\sqrt{5} \times \sqrt{2})\)
= \(\log_{10} \sqrt{10}\)
= \(\log_{10} (10^{\frac{1}{2}})\)
= \(\frac{1}{2} \log_{10} 10\)
= \(\frac{1}{2}\).
(b)
(ii) \(A \cap C = { } \)
(iii) \(A \cap B' = {1, 4}\).
Source: Myschool Past Questions Archive (Record #53057)