NECO SSCE - General Mathematics - 2005 (Objective)

Question 1 Report

Simplify (6 - x - x2) ÷ (x2 - 4)

(3 + x) ÷ (x + 2)

(x - 3) ÷ (x - 2)

(x - 3) ÷ (x + 3)

(3 - x) ÷ (x + 2)

(3 - x) ÷ (x - 2)

Algebraic Expressions

Algebraic Fractions

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Question 2 Report

For what value(s) of x is the expression (x² + 15x + 50) ÷ (x - 5) not defined

-5, -10

-10

-5

5

10, 5

Solution Of Linear Equations

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Question 3 Report

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

p⁵

p⁴

p³

p^-3

p^-5

Indices

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Question 4 Report

Find the standard deviation of the numbers 6, 9, 10, 8 and 7

1.4

2

2.4

5

8

Measures Of Dispersion

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Question 5 Report

A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours?

1

\(\frac{13}{26}\)

\(\frac{5}{18}\)

\(\frac{4}{9}\)

\(\frac{2}{9}\)

Probability

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Question 6 Report

If 2x : ( x + 1) = 3 : 2, what is the value of x?

\(\frac{1}{2}\)

1

1\(\frac{1}{2}\)

3

3\(\frac{1}{2}\)

Solution Of Linear Equations

Algebraic Expressions

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Question 7 Report

If 7 is subtracted from twice a certain number x, the result is at most 5. What is the range of the number?

x < 2

x < 3

x < 4

x < 5

x < 6

Solution Of Linear Equations

Linear Inequalities

Quadratic Equations

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Question 8 Report

Calculate without using tables Tan 45° + Cos 60°

\(\sqrt{\frac{3}{2}}\) - 1

\(\frac{1}{2}\)

1\(\frac{1}{2}\)

\(\sqrt{\frac{3}{2}}\) + 1

2

Sine, Cosine And Tangent Of An Angle

Trigonometry

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Question 9 Report

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.

5cm

6cm

7cm

10cm

12cm

Mensuration

Triangles And Polygons

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Question 10 Report

Solve for x in the quadratic equation. 2x² + 12x + 10 = 0

x = -5, -1

x = -5,1

x = -3, -2

x = 3, 2

x = 6, 5

Quadratic Equations

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Question 11 Report

Mohammed is 8 years older than Joy now. In five years’ time he will be twice as old as Joy. How old is Joy now?

1\(\frac{1}{2}\)years

3years

4\(\frac{1}{2}\)years

6 years

8 years

Solution Of Linear Equations

Number Bases

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Question 12 Report

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

39.40 metres

46.20 metres

46.25 metres

46.50 metres

48.25 metres

Percentages

Fractions, Decimals, Approximations And Percentage

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Question 13 Report

Find the Iength of a diagonal of a square whose area is 288cm².

24cm

48cm

95cm

100cm

124cm

Volumes

Lengths And Perimeters

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Question 14 Report

Two fair dice are tossed together once. What is the probability of getting a total of at least 9 from the outcome?

\(\frac{1}{9}\)

\(\frac{1}{6}\)

\(\frac{5}{18}\)

\(\frac{1}{3}\)

\(\frac{13}{18}\)

Probability

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Question 15 Report

Find the value of 2a - b if a + b = 8 and 4a - b = 22

2

4

6

8

10

Solution Of Linear Equations

Quadratic Equations

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Question 16 Report

The diagonals of a rhombus are 6cm and 8cm. Find the area of the rhombus.

96cm²

48cm²

24cm²

0.14cm²

12cm2

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Question 17 Report

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

I only

II only

III only

I and II only

II and III only

Representation Of Data

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Question 18 Report

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.

1.8m

3.5m

8.4m

11.9m

17.3m

Angles Of Elevation And Depression

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Question 19 Report

If y²+ 14y + k is a perfect square, then k =

4

7

28

49

196

Algebraic Expressions

Quadratic Equations

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Question 20 Report

A car dealer sells a car and makes a profit of 15%. If the car costs N320,000.00, how much did he sell the car?

N272,000.00

N296,000.00

N300,000.00

N368,000.00

N400,000.00

Ratio, Proportions And Rates

Financial Arithmetic

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Question 21 Report

Find the absolute mean deviation of the sample 10, 12, 14, 11, 13.

14.6

14

12

6.2

1.2

Representation Of Data

Measures Of Location

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Question 22 Report

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?

12cm

20cm

23cm

60cm

80cm

Sine, Cosine And Tangent Of An Angle

Circles

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Question 23 Report

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)

6468km

5469km

4470km

3470km

2488km