NECO SSCE - General Mathematics - 2001

Question 1 Report

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

567

280

189

63

21

Sequence And Series

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Question 2 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

75

120

165

195

240

Modular Arithmetic

Ratio, Proportions And Rates

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Question 3 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

N40,000

N20,000

Modular Arithmetic

Sequence And Series

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Question 4 Report

If the volume of a cube is (8 x 103)cm $^3$ , what is the surface area the cube?

2,400 cm

^3

1,600 cm

^3

120 cm

^3

24 cm

^3

16 cm

^3

Volumes

Areas

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Question 5 Report

Find the value of x in the equation: 9x = 729

81

27

18

9

3

Solution Of Linear Equations

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Question 6 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%

17.65%

Percentages

Modular Arithmetic

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Question 7 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}

\frac{13}{8}

\frac{144}{15}

\frac{24}{5}

Sine, Cosine And Tangent Of An Angle

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Question 8 Report

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

8

24

27

81

648

Variation

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Question 9 Report

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

\frac{64}{5}

6

\frac{5}{34}

\frac{-5}{34}

\frac{-64}{5}

Solution Of Linear Equations

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Question 10 Report

Solve the equation x² - 3x - 10 = 0

-2 or -5

-3 or -10

5 or -2

2 or 5

3 or 10

Solution Of Linear Equations

Quadratic Equations

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Question 11 Report

Evaluate ( $\frac{1}{343}$ ) $^{\frac{1}{3}}$ + (64) $^{-\frac{1}{3}}$ - $\frac{4}{9}$ $^{-\frac{1}{2}}$

-

\frac{17}{36}

-

\frac{3}{28}

\frac{13}{28}

\frac{17}{36}

\frac{1}{4}

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Question 12 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)}}

Algebraic Fractions

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Question 13 Report

Simplify $\sqrt{6a} \times \sqrt{576a^6}$

± 16a2

± 16a

± 14a2

± 12a2

± 12a

Positive And Negative Integers, Rational Numbers

Surds (radicals)

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Question 14 Report

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

1

\frac{3}{4}

\frac{1}{2}

\frac{1}{3}

\frac{1}{4}

Probability

Measures Of Dispersion

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Question 15 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}

\frac{20}{51}

\frac{3}{17}

\frac{1}{51}

Probability

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Question 16 Report

Express 0.03785 in standard form correct to 3 significant figures.

3 × 10

^{-2}

3.78 × 10

^{-2}

3.79 × 10

^{-2}

3.79 × 10

^{-1}

3.78 × 10

^{-2}

Fractions, Decimals And Approximations

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Question 17 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

3:01

3:07

7:01

Coordinate Geometry

Ratio, Proportions And Rates

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Question 18 Report

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

5

3

\frac{5}{2}

\frac{5}{4}

\frac{1}{5}

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Question 19 Report

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

7

8

9

13

15

Sets

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Question 20 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

Bearings

Angles Of Elevation And Depression

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Question 21 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

N5290.00

N6900.00

Representation Of Data

Modular Arithmetic

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Question 22 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}

\frac{49}{144}

\frac{1}{6}

Probability

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Question 23 Report

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

50m

49m

45m

Circles

Angles Of Elevation And Depression

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Question 24 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°

41.5°

41.4°

38.2°

Triangles And Polygons

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Question 25 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

Circles

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Question 26 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

35.4 years

264.0 years

423.5 years

Integration

Statistics

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Question 27 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

2,100 cm

^3

4,300 cm

^3

Logical Reasoning

Volumes

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Question 28 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}

\frac{112}{13}

\frac{131}{65}

Sine, Cosine And Tangent Of An Angle

Introductory Calculus

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Question 29 Report

Convert 101.011₂ to base 10

63

43

10

\frac{77}{8}

\frac{53}{8}

Number Bases

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Question 30 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

8.02 cm

16.04 cm

32.08 cm

34 cm