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

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

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

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

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

Answer Details

Read lesson note on Probability (WAEC)

Read lesson note on Surds (radicals) (WAEC)

Probability

Surds (radicals)

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Question 20 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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Read lesson note on Variation (JAMB)

Variation

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Question 21 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

Read lesson note on Differentiation (JAMB)

Read lesson note on Quadratic Equations (WAEC)

Differentiation

Quadratic Equations

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Question 22 Report

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

0.0784

-4

-0.0784 Correct answer

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Read lesson note on Logarithms (WAEC)

Logarithms

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Question 23 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 24 Report

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

005°

095°

185°

265° Correct answer

275°

Answer Details

Read lesson note on Bearings (WAEC)

Bearings

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Question 25 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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Read lesson note on Circles (WAEC)

Circles

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Question 26 Report

One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon

6 Correct answer

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Read lesson note on Triangles And Polygons (WAEC)

Triangles And Polygons

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Question 27 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

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Quadratic Equations (WAEC)

Solution Of Linear Equations

Quadratic Equations

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Question 28 Report

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

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

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

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

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

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

Answer Details

Read lesson note on Number Bases (WAEC)

Number Bases

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Question 29 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

Read lesson note on Sequence And Series (WAEC)

Sequence And Series

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Question 30 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

Answer Details

Read lesson note on Fractions, Decimals And Approximations (WAEC)

Read lesson note on Modular Arithmetic (WAEC)

Fractions, Decimals And Approximations

Modular Arithmetic

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Question 31 Report

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

225

-75

-125

-225 Correct answer

Answer Details

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Question 32 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

Answer Details

Read lesson note on Sequence And Series (WAEC)

Sequence And Series

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Question 33 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 \(\frac{2}{9}\)

Answer Details

Read lesson note on Quadratic Equations (WAEC)

Quadratic Equations

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Question 34 Report

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

10001\(_{two}\)

11001\(_{two}\)

110001\(_{two}\)

11010\(_{two}\) Correct answer

11100\(_{two}\)

Answer Details

Read lesson note on Number Bases (WAEC)

Read lesson note on Number Bases (JAMB)

Number Bases

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Question 35 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

Answer Details

Read lesson note on Volumes (WAEC)

Volumes

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