NECO SSCE - General Mathematics - 2001 (Objective)

From the kip of a storey-buliding, the angle of depression of a mango on a tree 20 m away from the base of the storey-building is 68°. if the mango is 4.5 m above the ground, what is the height of the storey-building to the nearest metre?

55m

54m Correct answer

50m

49m

45m

Answer Details

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Circles

Angles Of Elevation And Depression

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Question 4 Report

If cos x = - \(\frac{5}{13}\) where 180° < X < 270°, what is the value of tan x -sin x ?

\(\frac{111}{13}\)

\(\frac{321}{65}\)

-\(\frac{216}{65}\) Correct answer

\(\frac{112}{13}\)

\(\frac{131}{65}\)

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Sine, Cosine And Tangent Of An Angle

Introductory Calculus

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Question 5 Report

If t varies inversely as the cube of s, and t = 24, when s = 3, find t when s = 2

81 Correct answer

648

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Variation

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Question 6 Report

A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article

N3450.00

N3910.00

N4000.00 Correct answer

N5290.00

N6900.00

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Representation Of Data

Modular Arithmetic

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Question 7 Report

The angle of elevation of the top T of a pole from a point X on the horizontal ground is 32°, if X is 68 m away from the foot F of the pole, calculate the height FT of the pole, correct to one decimal place.

128.3m

108.8m

80.2m

57.7m

42.5m Correct answer

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Bearings

Angles Of Elevation And Depression

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Question 8 Report

The bearing of a point Y from point x is 150°. What is the bearing of X from Y?

330° Correct answer

240°

150°

120°

30°

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Bearings

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Question 9 Report

The radius of a sphere is 21cm. If s and v represent the curved surface area and volume respectively, what is s : v? (take π = 3.142)

1:03

1:07 Correct answer

3:01

3:07

7:01

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Coordinate Geometry

Ratio, Proportions And Rates

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Question 10 Report

In an acute angle-triangle XYZ, XZ = 9cm, YZ = 11cm and ∠XZY = 35° Calculate ∠YXZ, correct to the nearest degree.

57°

45°

33°

16°

89° Correct answer

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Sine, Cosine And Tangent Of An Angle

Trigonometry

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Question 11 Report

Express 0.03785 in standard form correct to 3 significant figures.

3 × 10\(^{-2}\)

3.78 × 10\(^{-2}\)

3.79 × 10\(^{-2}\) Correct answer

3.79 × 10\(^{-1}\)

37.9 × 10\(^{-3}\)

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Fractions, Decimals And Approximations

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Question 12 Report

Given that (3 - y) ÷ 2x = (6y + 7) ÷ (4x - 5), find the value of x when y = 2

\(\frac{64}{5}\)

\(\frac{5}{34}\)

\(\frac{-5}{34}\) Correct answer

\(\frac{-64}{5}\)

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Solution Of Linear Equations

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Question 13 Report

If s = \(\sqrt{(\frac{a^2}{x^2} - \frac{b^2}{y^2})}\)what does y equal?

\(\sqrt{\frac{(b^2 - a^2)}{(s^2 - x^2)}}\)

\(\sqrt{\frac{(b^2 - a^2)}{(s^2 \times 2)}}\)

\(\sqrt{\frac{x^2 - a^2 - b^2}{s}}\)

\(\frac{x^2 - a^2 - b^2}{s}\)

\(\sqrt{\frac{(b^2 x^2)}{(a^2 - s^2 x^2)}}\) Correct answer

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Algebraic Fractions

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Question 14 Report

Simplify 27\(^{-\frac{1}{3}}\) \(\times\) 64\(^{-\frac{1}{3}}\) \(\times\) 4\(^{\frac{1}{3}}\)

\(\frac{4}{3}\)

\(\frac{1}{12}\) Correct answer

\(\frac{1}{48}\)

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Logarithms

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Question 15 Report

If the mean of 3, 5, 8, k, 14 and 17 is 11, what is the value of k

19 Correct answer

967

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Surds (radicals)

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Question 16 Report

Simplify \(\sqrt{6a} \times \sqrt{576a^6}\)

± 16a2

± 16a

± 14a2

± 12a2 Correct answer

± 12a

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Positive And Negative Integers, Rational Numbers

Surds (radicals)

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Question 17 Report

Two fair coins are tossed at the same time. what is the probability of getting a head?

\(\frac{3}{4}\)

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

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

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

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Probability

Measures Of Dispersion

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Question 18 Report

Mr Aborowa bought a car for N200,000.00 and later sold it for N170,000.00. What is the percentage loss?

117.60%

11.76%

13.60%

17.65% Correct answer

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Percentages

Modular Arithmetic

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Question 19 Report

51 women wore coloured shoes to a party, out of which 21 wore purple and 9 wore white. if a woman is selected at Random. What is the probability that she is wearing neither a purple shoe nor a white shoe?

\(\frac{10}{17}\)

\(\frac{7}{17}\) Correct answer

\(\frac{20}{51}\)

\(\frac{3}{17}\)

\(\frac{1}{51}\)

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Probability

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Question 20 Report

A chord is drawn 12cm away from the centre of a circle of radius 13cm. What is the length of the chord?

169.00 cm

144.00 cm

25.00 cm

17.69 cm

10.00 cm Correct answer

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Circles

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Question 21 Report

Find the value of k such that \(t^2\) + kt + \(\frac{25}{4}\) is a perfect square

5 Correct answer

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

\(\frac{5}{4}\)

\(\frac{1}{5}\)

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Question 22 Report

If n{A} = 6, n{B} = 5 and n{A ∩ B} = 2, find n{A ∪ B}

9 Correct answer

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Sets

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Question 23 Report

If 3 boys shared x oranges among themselves in the ratio 3:5:8, and smallest share was 45 oranges, find the value of x

120

165

195

240 Correct answer

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Modular Arithmetic

Ratio, Proportions And Rates

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Question 24 Report

If sin θ = 4/5 where 0° ∠ θ ∠ 900, what is the value of cos θ + tan θ?

\(\frac{14}{15}\)

\(\frac{29}{15}\) Correct answer

\(\frac{13}{8}\)

\(\frac{144}{15}\)

\(\frac{24}{5}\)

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Sine, Cosine And Tangent Of An Angle

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Question 25 Report

Solve the equation x² - 3x - 10 = 0

-2 or -5

-3 or -10

5 or -2 Correct answer

2 or 5

3 or 10

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Solution Of Linear Equations

Quadratic Equations

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Question 26 Report

The first term of a G.P is 7. Find its 4th term, if its common ratio is 3.

567

280

189 Correct answer

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Sequence And Series

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Question 27 Report

Convert 101.011₂ to base 10

\(\frac{77}{8}\)

\(\frac{53}{8}\) Correct answer

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Number Bases

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Question 28 Report

The lengths of the sides of a triangle are 15m, 21m, and 28cm. What is the size of the angle facing the side 21m (correct to one decimal place)?

85.7°

47.5° Correct answer

41.5°

41.4°

38.2°

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Triangles And Polygons

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Question 29 Report

The surface area of a sphere is 616m2. what is the volume of-the sphere (correct to two significant figures)? (take π = 3.142)

14 cm\(^3\)

210 cm\(^3\)

1,400 cm\(^3\) Correct answer

2,100 cm\(^3\)

4,300 cm\(^3\)

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Logical Reasoning

Volumes

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Question 30 Report

The mean age of 12 boys involved survey is 19 years, 3 months. lf the-age of one of the boys is 22 years, what is the mean age of the other-boys?

10.5 years

19.0 years Correct answer

35.4 years

264.0 years

423.5 years

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Integration

Statistics

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Question 31 Report

An arc of a circle subtends an angle of 75° at the centre of the circle. If the diameter of the circle is 7cm, what Is the length of the arc? (take π = 3.142)

4.58 cm Correct answer

8.02 cm

16.04 cm

32.08 cm

34 cm

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Sine, Cosine And Tangent Of An Angle

Circles

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Question 32 Report

Two beads are drawn at random, one after the other, with replacement, from a box containing 5 red and 7 white identical beads. What is the probability that the beads are the same colour

\(\frac{119}{144}\)

\(\frac{95}{144}\)

\(\frac{37}{72}\) Correct answer

\(\frac{49}{144}\)

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

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Probability

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Question 33 Report

Find the 19th term of the A.P. \(\frac{5}{6}\), \(\frac{8}{6}\), \(\frac{11}{6}\).................

7\(\frac{1}{2}\)

9\(\frac{1}{2}\)

9\(\frac{5}{6}\) Correct answer

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Sequence And Series

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Question 34 Report

A bottle of malt costs three times as much as a bottle of Mirinda. If 5 bottles of malt and 4 bottles of Mirinda cost N380.00 altogether, how much does a bottle of malt cost?

N90.00

N80.000

N60,000 Correct answer

N40,000

N20,000

Answer Details

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Modular Arithmetic

Sequence And Series

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Question 35 Report