NECO SSCE - General Mathematics - 2005 (Objective)

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 Correct answer

II only

III only

I and II only

II and III only

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Representation Of Data

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Question 4 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 Correct answer

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

6 years

8 years

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Solution Of Linear Equations

Number Bases

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Question 5 Report

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

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

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

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

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

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

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Probability

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Question 6 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 Correct answer

N400,000.00

Answer Details

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Ratio, Proportions And Rates

Financial Arithmetic

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Question 7 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?

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

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

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

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

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Probability

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Question 8 Report

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

10 Correct answer

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Solution Of Linear Equations

Quadratic Equations

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Question 9 Report

If A(I,2,3,...,10) ; B = (-5,-4,.....,-1) ; C = (-1, 0, 1, 2,....5) List all the elements in (B ∪ C) ∩ A

(-1,2,...5)

(-1,1,....5)

(1,2,..5) Correct answer

(2,3,...10)

(1,2,...10)

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Question 10 Report

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

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

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

3 Correct answer

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

Answer Details

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Solution Of Linear Equations

Algebraic Expressions

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Question 11 Report

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

p⁵

p⁴

p³

p^-3

p^-5 Correct answer

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Indices

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Question 12 Report

Evaluate 0.0025 × 2.5 × 102 to 2 significant figures.

0.625 × 10^-3

0.63 × 10^-2

6.25 × 10^-3

6.3 × 10^-2

6.3 × 10^-1 Correct answer

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Fractions, Decimals And Approximations

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Question 13 Report

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

x = -5, -1 Correct answer

x = -5,1

x = -3, -2

x = 3, 2

x = 6, 5

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Quadratic Equations

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Question 14 Report

What is the Value of 11101\(_{two}\)+ 10011\(_{two}\) - 10001\(_{two}\)?

10001\(_{two}\)

10011\(_{two}\)

10111\(_{two}\)

11111\(_{two}\) Correct answer

111111\(_{two}\)

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Number Bases

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Question 15 Report

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

-5, -10

-10

-5

5 Correct answer

10, 5

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Solution Of Linear Equations

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Question 16 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 Correct answer

6cm

7cm

10cm

12cm

Answer Details

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Mensuration

Triangles And Polygons

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Question 17 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 Correct answer

60cm

80cm

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Sine, Cosine And Tangent Of An Angle

Circles

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Question 18 Report

Simplify (6 - x - x2) ÷ (x2 - 4)

(3 + x) ÷ (x + 2) Correct answer

(x - 3) ÷ (x - 2)

(x - 3) ÷ (x + 3)

(3 - x) ÷ (x + 2)

(3 - x) ÷ (x - 2)

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Algebraic Expressions

Algebraic Fractions

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Question 19 Report

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.

8 Correct answer

Answer Details

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Question 20 Report

What is the positive difference between the squares of 2.5 and 2.1 to 1 significant figures?

– 2.0

– 184

-1.84

2 Correct answer

18.4

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Positive And Negative Integers, Rational Numbers

Quadratic Equations

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Question 21 Report

If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12?

0.0432

0.4322

1.0791 Correct answer

1.2552

1.5225

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Logarithms

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Question 22 Report

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?

U = {-1 < x < 9}

U = {0 < x < 9}

U = {1 < x < 9} Correct answer

U = {1 < x < 10}

{2 < x < 10}

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Question 23 Report

If 25a² = 5^-1 × 125. Find the value of a?

a = -1

a = 1

a = ±1 Correct answer

a = ±5

a = 25

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Indices

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Question 24 Report

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

1.4 Correct answer

2.4

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Measures Of Dispersion

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Question 25 Report

Evaluate log 18 + log⁶ - log16\(^{\frac{1}{2}}\)

log 3

log 9

log 20

3 log 2

3 log 3 Correct answer

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Indices, Logarithms And Surds

Logarithms

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Question 26 Report

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

14.6

6.2

1.2 Correct answer

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Representation Of Data

Measures Of Location

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Question 27 Report

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

96cm²

48cm²

24cm² Correct answer

0.14cm²

12cm2

Answer Details

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Question 28 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 Correct answer

46.20 metres

46.25 metres

46.50 metres

48.25 metres

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Percentages

Fractions, Decimals, Approximations And Percentage

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Question 29 Report

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

24cm Correct answer

48cm

95cm

100cm

124cm

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Volumes

Lengths And Perimeters

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Question 30 Report

If x + \(\frac{1}{x}\) = 8, find x² + \(\frac{1}{x^2}\)

62 Correct answer

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Algebraic Expressions

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Question 31 Report

If (x - a) is a factor of bx - ax + x² - ab, what is the other factor?

(x + b) Correct answer

(b - a)

(x - a)

(a + b)

(a - b)

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Solution Of Linear Equations

Algebraic Expressions

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Question 32 Report

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

49 Correct answer

196

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Algebraic Expressions

Quadratic Equations

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Question 33 Report

In Δ ABC, A = 60°, C = 90° and AC = 12m. Find the Length of the hypotenuse.

24m Correct answer

14m

12m

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Circles

Angles Of Elevation And Depression

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Question 34 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 Correct answer

8.4m

11.9m

17.3m

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Angles Of Elevation And Depression

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Question 35 Report

Calculate without using tables Tan 45° + Cos 60°

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

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

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

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

Answer Details

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Sine, Cosine And Tangent Of An Angle

Trigonometry

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Question 36 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 Correct answer

3470km

2488km

Answer Details

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Circles

Angles Of Elevation And Depression

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