NECO SSCE - General Mathematics - 2001

Tambaya 1 Rahoto

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

-\(\frac{17}{36}\)

-\(\frac{3}{28}\)

\(\frac{13}{28}\)

\(\frac{17}{36}\)

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

Bayanin Amsa

Duba Amsa

Tambaya 2 Rahoto

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°

Bayanin Amsa

Read lesson note on Triangles And Polygons (WAEC)

Triangles And Polygons

Duba Amsa

Tambaya 3 Rahoto

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

648

Bayanin Amsa

Read lesson note on Variation (WAEC)

Read lesson note on Variation (JAMB)

Variation

Duba Amsa

Tambaya 4 Rahoto

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\(^3\)

Bayanin Amsa

Read lesson note on Volumes (WAEC)

Read lesson note on Areas (WAEC)

Volumes

Areas

Duba Amsa

Tambaya 5 Rahoto

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

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

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

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

Bayanin Amsa

Read lesson note on Logarithms (WAEC)

Logarithms

Duba Amsa

Tambaya 6 Rahoto

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

967

Bayanin Amsa

Read lesson note on Surds (radicals) (WAEC)

Surds (radicals)

Duba Amsa

Tambaya 7 Rahoto

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

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

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

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

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

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

Bayanin Amsa

Read lesson note on Sine, Cosine And Tangent Of An Angle (WAEC)

Sine, Cosine And Tangent Of An Angle

Duba Amsa

Tambaya 8 Rahoto

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

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

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

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

Bayanin Amsa

Duba Amsa

Tambaya 9 Rahoto

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

330°

240°

150°

120°

30°

Bayanin Amsa

Read lesson note on Bearings (WAEC)

Bearings

Duba Amsa

Tambaya 10 Rahoto

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%

Bayanin Amsa

Read lesson note on Percentages (WAEC)

Read lesson note on Modular Arithmetic (WAEC)

Percentages

Modular Arithmetic

Duba Amsa

Tambaya 11 Rahoto

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

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

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

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

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

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

Bayanin Amsa

Read lesson note on Sine, Cosine And Tangent Of An Angle (WAEC)

Read lesson note on Introductory Calculus (WAEC)

Sine, Cosine And Tangent Of An Angle

Introductory Calculus

Duba Amsa

Tambaya 12 Rahoto

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

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

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

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

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

Bayanin Amsa

Read lesson note on Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Duba Amsa

Tambaya 13 Rahoto

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\(^{-2}\)

Bayanin Amsa

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

Fractions, Decimals And Approximations

Duba Amsa

Tambaya 14 Rahoto

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°

Bayanin Amsa

Read lesson note on Sine, Cosine And Tangent Of An Angle (WAEC)

Read lesson note on Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

Duba Amsa

Tambaya 15 Rahoto

Convert 101.011₂ to base 10

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

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

Bayanin Amsa

Read lesson note on Number Bases (WAEC)

Number Bases

Duba Amsa

Tambaya 16 Rahoto

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

Bayanin Amsa

Read lesson note on Bearings (WAEC)

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

Bearings

Angles Of Elevation And Depression

Duba Amsa

Tambaya 17 Rahoto

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

Bayanin Amsa

Read lesson note on Coordinate Geometry (WAEC)

Read lesson note on Ratio, Proportions And Rates (WAEC)

Coordinate Geometry

Ratio, Proportions And Rates

Duba Amsa

Tambaya 18 Rahoto

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?

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

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

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

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

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

Bayanin Amsa

Read lesson note on Probability (WAEC)

Probability

Duba Amsa

Tambaya 19 Rahoto

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

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

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

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

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

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

Bayanin Amsa

Read lesson note on Algebraic Fractions (WAEC)

Algebraic Fractions

Duba Amsa

Tambaya 20 Rahoto

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

Bayanin Amsa

Read lesson note on Modular Arithmetic (WAEC)

Read lesson note on Ratio, Proportions And Rates (WAEC)

Modular Arithmetic

Ratio, Proportions And Rates

Duba Amsa

Tambaya 21 Rahoto

Solve the equation x² - 3x - 10 = 0

-2 or -5

-3 or -10

5 or -2

2 or 5

3 or 10

Bayanin Amsa

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Quadratic Equations (WAEC)

Solution Of Linear Equations

Quadratic Equations

Duba Amsa

Tambaya 22 Rahoto

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

Bayanin Amsa

Read lesson note on Modular Arithmetic (WAEC)

Read lesson note on Sequence And Series (WAEC)

Modular Arithmetic

Sequence And Series

Duba Amsa

Tambaya 23 Rahoto

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

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

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

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

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

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

Bayanin Amsa

Read lesson note on Probability (WAEC)

Probability

Duba Amsa

Tambaya 24 Rahoto

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\(\frac{5}{6}\)

Bayanin Amsa

Read lesson note on Sequence And Series (WAEC)

Sequence And Series

Duba Amsa

Tambaya 25 Rahoto

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

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

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

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

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

Bayanin Amsa

Read lesson note on Probability (WAEC)

Read lesson note on Probability (JAMB)

Read lesson note on Measures Of Dispersion (JAMB)

Probability

Measures Of Dispersion

Duba Amsa

Tambaya 26 Rahoto

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

Bayanin Amsa

Read lesson note on Sets (WAEC)

Read lesson note on Sets (JAMB)

Sets

Duba Amsa

Tambaya 27 Rahoto

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

Bayanin Amsa

Read lesson note on Circles (WAEC)

Circles

Duba Amsa

Tambaya 28 Rahoto

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

Bayanin Amsa

Read lesson note on Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Duba Amsa

Tambaya 29 Rahoto

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

Bayanin Amsa

Read lesson note on Integration (JAMB)

Read lesson note on Statistics (WAEC)

Integration

Statistics

Duba Amsa

Tambaya 30 Rahoto

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

Bayanin Amsa

Read lesson note on Sine, Cosine And Tangent Of An Angle (WAEC)

Read lesson note on Circles (WAEC)

Sine, Cosine And Tangent Of An Angle

Circles

Duba Amsa

Tambaya 31 Rahoto

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

Bayanin Amsa

Read lesson note on Circles (WAEC)

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

Circles

Angles Of Elevation And Depression

Duba Amsa

Tambaya 32 Rahoto