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 25 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

Answer Details

Read lesson note on Angles (WAEC)

Read lesson note on Triangles And Polygons (WAEC)

Angles

Triangles And Polygons

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Question 26 Report

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

7 Correct answer

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

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

Answer Details

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Question 27 Report

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

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

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

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

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

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

Answer Details

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

Read lesson note on Number Bases (WAEC)

Fractions, Decimals And Approximations

Number Bases

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Question 28 Report

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

x - 1

x + 1

x² -1

4x + 1 Correct answer

4x - 4

Answer Details

Read lesson note on Algebraic Expressions (WAEC)

Read lesson note on Quadratic Equations (WAEC)

Algebraic Expressions

Quadratic Equations

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Question 29 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

Answer Details

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Question 30 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

Answer Details

Read lesson note on Variation (JAMB)

Variation

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Question 31 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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Question 32 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

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 33 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 34 Report

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

–x

X-1

–X^-1 Correct answer

-1

Answer Details

Read lesson note on Logarithms (WAEC)

Logarithms

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Question 35 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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