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

Angles Of Elevation And Depression

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Question 27 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 28 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 29 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 30 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

Answer Details

Read lesson note on Lengths And Perimeters (WAEC)

Read lesson note on Areas (WAEC)

Lengths And Perimeters

Areas

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Question 31 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 32 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 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

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 35 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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