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Mathematics
NECO SSCE 2005
Number and Numeration
What is the positive difference between the squares of 2.5 and 2.1 to 1 significant figures?
A
– 2.0
B
– 184
C
-1.84
D
2
E
18.4
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Number and Numeration
Find the value of 2a - b if a + b = 8 and 4a - b = 22
A
2
B
4
C
6
D
8
E
10
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Geometry and Trigonometry
A flagpole is placed at the top of a tower. The angles of elevation of the bottom and top of the flagpole from a point on the ground 10m away are 40° and 50° respectively. Find the length of the flagpole.
A
1.8m
B
3.5m
C
8.4m
D
11.9m
E
17.3m
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Number and Numeration
Find the Iength of a diagonal of a square whose area is 288cm2.
A
24cm
B
48cm
C
95cm
D
100cm
E
124cm
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Algebra
Solve for x in the quadratic equation. 2x2 + 12x + 10 = 0
A
x = -5, -1
B
x = -5,1
C
x = -3, -2
D
x = 3, 2
E
x = 6, 5
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Number and Numeration
A surveyor measured the length of a obtained 42.55 metres. If his measurement was more than the actual length and the percentage error of his measurement was 8%, calculate the actual length of the land
A
39.40 metres
B
46.20 metres
C
46.25 metres
D
46.50 metres
E
48.25 metres
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Number and Numeration
Solution
If x + \(\frac{1}{x}\) = 8, find x\(^2\) + \(\frac{1}{x^2}\)
A
64
B
62
C
32
D
16
E
4
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Number and Numeration
Solution
Evaluate 0.0025 \times 2.5 \times 10\(^2\) to 2 significant figures.
A
0.625 × 10-3
B
0.63 × 10-2
C
6.25 × 10-3
D
6.3 × 10-2
E
6.3 × 10-1
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Geometry and Trigonometry
A ship sails 6km from a port on a bearing 070° and then 8km on a bearing of 040°. Find the distance from the port.
A
7.21km
B
13.53km
C
16.86km
D
44.57km
E
67.17km
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Geometry and Trigonometry
Calculate without using tables Tan 45° + Cos 60°
A
\(\sqrt{\frac{3}{2}}\) - 1
B
\(\frac{1}{2}\)
C
1\(\frac{1}{2}\)
D
\(\sqrt{\frac{3}{2}}\) + 1
E
2
medium Difficulty
Study Solution
Mathematics
NECO SSCE 2005
Geometry and Trigonometry
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
Study Solution
Mathematics
NECO SSCE 2005
Number and Numeration
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
Study Solution
Mathematics
NECO SSCE 2005
Number and Numeration
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
Study Solution
Mathematics
NECO SSCE 2005
Number and Numeration
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
Study Solution
Mathematics
NECO SSCE 2005
Geometry and Trigonometry
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
Study Solution