NECO SSCE - General Mathematics - 2004 (Objective)

A bag Contains 2 red, 3 blue and 4 green identical balls. If two balls are picked at random one after the other without replacement, what is the probability that both are green?

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

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

\(\frac{16}{18}\)

\(\frac{3}{8}\)

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

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Probability

Surds (radicals)

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Question 6 Report

If cos x = 4/5, 0° \( \leq \) x \( \leq \) 90°, find the value of (1 + tan x)/(1 - tan x)

7 Correct answer

\(\frac{7}{16}\)

\(\frac{9}{25}\)

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Question 7 Report

The bearing of Y from X is 0850. What is the bearing of X from Y?

005°

095°

185°

265° Correct answer

275°

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Bearings

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Question 8 Report

The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus

68cm Correct answer

72cm

80cm

88cm

92cm

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Question 9 Report

Two angles of a triangle are 450 each and its longest side is 12cm. Find the length of one of the other sides

12cm

9\(\sqrt{2}\)cm

6\(\sqrt{2}\)cm Correct answer

6cm

3\(\sqrt{2}\)cm

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Angles

Triangles And Polygons

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Question 10 Report

Solve the equation: \(\frac{3}{[2(x - 2)]} - \frac{2}{[3(2 - x)]} = 0\)

2 Correct answer

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

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

-3

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Solution Of Linear Equations

Algebraic Fractions

Fractions, Decimals, Approximations And Percentage

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Question 11 Report

The 4th term of a G.P is 3 and its first term is 81. What is its common ratio?

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

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

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

-3

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Sequence And Series

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Question 12 Report

A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man

50° 54′

35° 06′

30° 00′

290 90′

29° 54′ Correct answer

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Angles Of Elevation And Depression

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Question 13 Report

Evaluate (Log₁₃ - log₅) ÷ X(log₅-log₁₃) without using tables

–x

X-1

–X^-1 Correct answer

-1

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Logarithms

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Question 14 Report

A bag contains p dozens of bananas and 3q of these proved to be bad. If I buy one third of the goods ones, how many do I get?

P -3q

\(\frac{1}{3}\) (p - 3q)

4p - q Correct answer

12p - 3q

Answer Details

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Solution Of Linear Equations

Quadratic Equations

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Question 15 Report

The expression 4x² - 4 has the following as its factors EXCEPT

x - 1

x + 1

x² -1

4x + 1 Correct answer

4x - 4

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Algebraic Expressions

Quadratic Equations

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Question 16 Report

What must be added to b²-3ab to make it a perfect square?

-3a

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

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

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

\(\frac{9^2}{4}\) Correct answer

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Number Bases

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Question 17 Report

Find the area of a triangle ABC such that a = 16cm, b = 14cm, c = 12cm, leave your answer in surd form

5\(\sqrt{15}\)cm²

7\(\sqrt{15}\)cm²

21\(\sqrt{3}\)cm²

21\(\sqrt{5}\)cm²

21\(\sqrt{15}\)cm² Correct answer

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Question 18 Report

Express the quotient of 0.422 and 0.004 in standard form

1.055 × 10² Correct answer

10.55 × 10¹

105 × 10⁰

10.55 × 10^-1

1.055 × 10^-2

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Fractions, Decimals And Approximations

Modular Arithmetic

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Question 19 Report

Calculate (0.05 × 0.025) ÷ (4.25 × 3.35) and express your answer in standard form

8.7796 × 10⁵

8.7796 × 10⁴

8.7796 × 10³

8.7796 × 10^-3

8.7796 × 10^-5 Correct answer

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Fractions, Decimals And Approximations

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Question 20 Report

Express the product of 0.007 and 0.057 to two significant figures

0.0004 Correct answer

0.00039

0.004

0.0039

0.04

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Fractions, Decimals And Approximations

Modular Arithmetic

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Question 21 Report

If y varies inversely as x², how does x vary with y?

x varies inversely as y²

x varies inversely as \(\sqrt{y}\) Correct answer

x varies directly as y²

x varies directly as \(\sqrt{y}\)

x varies directly as y

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Variation

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Question 22 Report

A sales boy gave a change of N75.00 to a buyer instead of N80.00, calculate his percentage error, correct to one decimal place?

6.00%

6.20%

6.30% Correct answer

6.60%

6.70%

Answer Details

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Question 23 Report

The angle subtended by a diameter of a circle at the circumference is a/an

acute angle

obtuse angle

reflex angle

right angle Correct answer

supplementary angle

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Circles

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Question 24 Report

Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (π = \(\frac{22}{5}\))

12.8cm²

25.7cm²

77.0cm²

154.0cm² Correct answer

179.7cm²

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Volumes

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Question 25 Report

The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?

64 Correct answer

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Sequence And Series

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Question 26 Report

Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

10001\(_{two}\)

11001\(_{two}\)

110001\(_{two}\)

11010\(_{two}\) Correct answer

11100\(_{two}\)

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Number Bases

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Question 27 Report

Evaluate ut - \(\frac{1}{2}\)ft² when t = 5, u = -20 and f = 10

225

-75

-125

-225 Correct answer

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Question 28 Report

Divide the LCM of 15abc and 20a\(^2\)bc by their HCF

10a

12a Correct answer

5abc

12a²bc

60a²bc

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Sine, Cosine And Tangent Of An Angle

Number Bases

Modular Arithmetic

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Question 29 Report

Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils?

10.5yrs.

11yrs.

11.5 yrs. Correct answer

12yrs.

12.5yrs.

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Fractions, Decimals And Approximations

Surds (radicals)

Financial Arithmetic

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Question 30 Report

If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms?

6 Correct answer

Answer Details

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Sequence And Series

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Question 31 Report

Find x if (x - 2)² = 1\(\frac{7}{9}\)

\(\frac{2}{3}\) or \(\frac{2}{7}\)

3\(\frac{1}{3}\) or \(\frac{2}{3}\) Correct answer

3\(\frac{7}{9}\) or \(\frac{2}{7}\)

3\(\frac{1}{3}\) or \(\frac{7}{9}\)

\(\frac{3}{7}\) or \(\frac{2}{9}\)

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Quadratic Equations

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Question 32 Report

Simplify (216\(\frac{1}{3}\))^-2

\(\frac{1}{36}\) Correct answer

\(\frac{1}{18}\)

\(\frac{1}{13}\)

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

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

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Fractions, Decimals And Approximations

Number Bases

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Question 33 Report

If the mean of the following set of data, 2, 3,3,3, 2,4 4 and 3 is divided by its mode, the result is:

1 Correct answer

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Linear Inequalities

Statistics

Progression

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Question 34 Report

A car travels at an average speed of 75km/h. Find its speed in metres per second.

270m/s

208m/s

27.0m/s

20.8m/s Correct answer

2.08m/s

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Lengths And Perimeters

Areas

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Question 35 Report

The roots of a quadratic equation in x, are -m and 2n. Fine equation.

x² - x(2n-m) – 2mn = 0 Correct answer

x² + x(2n - m) - 2mn = 0

x² + x(m - 2n) + 2mn = 0

X² + x (m + 2n ) + 2mn = 0

x² - x (m - 2n) - 2mn = 0

Answer Details

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Differentiation

Quadratic Equations

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