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?

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

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

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

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

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

Answer Details

Read lesson note on Probability (WAEC)

Read lesson note on Surds (radicals) (WAEC)

Probability

Surds (radicals)

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Question 18 Report

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

68cm

72cm

80cm

88cm

92cm

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Question 19 Report

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

x² - x(2n-m) – 2mn = 0

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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Read lesson note on Quadratic Equations (WAEC)

Differentiation

Quadratic Equations

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Question 20 Report

Express the quotient of 0.422 and 0.004 in standard form

1.055 × 10²

10.55 × 10¹

105 × 10⁰

10.55 × 10^-1

1.055 × 10^-2

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Read lesson note on Modular Arithmetic (WAEC)

Fractions, Decimals And Approximations

Modular Arithmetic

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Question 21 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%

6.60%

6.70%

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Question 22 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:

Answer Details

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Read lesson note on Statistics (WAEC)

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Linear Inequalities

Statistics

Progression

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Question 23 Report

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

225

-75

-125

-225

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Question 24 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

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Question 25 Report

The nth term of a sequence is given as 4 x 3(3 - n). Calculate the third term.

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Sequence And Series

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Question 26 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?

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Sequence And Series

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Question 27 Report

Find x if (x - 2)² = 1\(\frac{7}{9}\)

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

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

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 28 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

179.7cm²

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Volumes

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Question 29 Report

If log₁₀² = 0.3010 and log₁₀³ = 0.4771, simplify: (Log₁₀⁸-log₉²) ÷ (Log₁₀⁹ - log₁₀²)

0.0784

-4

-0.0784

Answer Details

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Logarithms

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Question 30 Report

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

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

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

-3

Answer Details

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Algebraic Fractions (WAEC)

Read lesson note on Fractions, Decimals, Approximations And Percentage (JAMB)

Solution Of Linear Equations

Algebraic Fractions

Fractions, Decimals, Approximations And Percentage

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Question 31 Report

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

10001\(_{two}\)

11001\(_{two}\)

110001\(_{two}\)

11010\(_{two}\)

11100\(_{two}\)

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Read lesson note on Number Bases (JAMB)

Number Bases

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Question 32 Report

Find the value of t such that the expression \(\frac{1}{t}\) + \(\frac{4}{3}\) - \(\frac{5}{6t}\) + 1 is equal to zero

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

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

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

\(\frac{7}{6}\)

\(\frac{2}{5}\)

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Number Bases

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Question 33 Report

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

-3a

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

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

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

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

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Number Bases

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Question 34 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

12p - 3q

Answer Details

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Read lesson note on Quadratic Equations (WAEC)

Solution Of Linear Equations

Quadratic Equations

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Question 35 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′

Answer Details

Read lesson note on Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

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