NECO SSCE - General Mathematics - 2002

One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?

\(\frac{2}{3}\)

\(\frac{3}{8}\)

\(\frac{7}{24}\)

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

\(\frac{1}{24}\)

Detalles de la respuesta

Read lesson note on Probability (WAEC)

Read lesson note on Surds (radicals) (WAEC)

Probability

Surds (radicals)

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Pregunta 4 Informe

Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?

7cm

15cm

22cm

26cm

30cm

Detalles de la respuesta

Read lesson note on Circles (WAEC)

Read lesson note on Number Bases (JAMB)

Read lesson note on Triangles And Polygons (WAEC)

Circles

Number Bases

Triangles And Polygons

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Pregunta 5 Informe

Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

{17}

{16, 17, 19, 20}

{1, 4, 15, 17, 18}

{14, 15, 16, 18, 19, 20}

{14, 15, 16, 17, 18, 19, 20}

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Pregunta 6 Informe

The length, breadth and height of a cuboid are 8cm, 7\(\frac{1}{2}\)cm and 6\(\frac{1}{2}\) cm respectively. What Is its volume in m³ (leave your answer in standard form)?

3.9 × 10^-1m³

3.9 × 10^-2m³

3.9 × 10^-3m³

3.9 × 10^-4m³

3.9 × 10^-5m³

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Pregunta 7 Informe

What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?

312cm\(^2\)

96cm\(^2\)

36cm\(^2\)

24cm\(^2\)

12cm\(^2\)

Detalles de la respuesta

Read lesson note on Volumes (WAEC)

Read lesson note on Areas (WAEC)

Volumes

Areas

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Pregunta 8 Informe

Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?

N45.00

N42.50

N40.00

N35.50

N25.80

Detalles de la respuesta

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

Read lesson note on Positive And Negative Integers, Rational Numbers (WAEC)

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

Sine, Cosine And Tangent Of An Angle

Positive And Negative Integers, Rational Numbers

Ratio, Proportions And Rates

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Pregunta 9 Informe

Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

1.995 × 10³

1.95 × 10²

1.95 × 10¹

1.95 × 10^-2

1.95 × 10^-3

Detalles de la respuesta

Read lesson note on Number Bases (WAEC)

Read lesson note on Number Bases (JAMB)

Number Bases

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Pregunta 10 Informe

A boy leaves station X on a bearing of 035° to station y which is 21km away. He then travels to another station Z on a bearing of 125°. If Z is directly East of X, what is the distance from X to his present position?

3.0km

12.04km

17.2km

34.18km

36.61km

Detalles de la respuesta

Read lesson note on Bearings (WAEC)

Read lesson note on Angles (WAEC)

Bearings

Angles

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Pregunta 11 Informe

After what length of time will N2400.00 yield an interest of N60.00 at 1\(\frac{1}{2}\)% per annum?

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

1\(\frac{2}{3}\) years

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

1 years

\(\frac{3}{5}\) year

Detalles de la respuesta

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

Fractions, Decimals And Approximations

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Pregunta 12 Informe

Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)

\(\frac{17}{30}\)

\(\frac{65}{102}\)

\(\frac{25}{34}\)

\(\frac{102}{75}\)

\(\frac{34}{25}\)

Detalles de la respuesta

Read lesson note on Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

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Pregunta 13 Informe

A wire was shaped to form a square of area 81cm\(^2\). An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?

3cm

6cm

9cm

12cm

27cm

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Pregunta 14 Informe

If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?

T = (a²s² – 1)

T = (a²s²– 1) ÷ a

T = a ÷ (a² - s²)

T = a ÷ (a²s² – 1)

T = (as – 1)²

Detalles de la respuesta

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Algebraic Expressions

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Pregunta 15 Informe

A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?

20.64m

29.48m

44.49m

49.55m

62.76m

Detalles de la respuesta

Read lesson note on Bearings (WAEC)

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

Bearings

Angles Of Elevation And Depression

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Pregunta 16 Informe

What must be added to 3x² - 5x to make it a perfect square?

\(\frac{36}{25}\)

\(\frac{25}{36}\)

-\(\frac{25}{36}\)

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

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

Detalles de la respuesta

Read lesson note on Simple Operations On Algebraic Expressions (WAEC)

Read lesson note on Quadratic Equations (WAEC)

Simple Operations On Algebraic Expressions

Quadratic Equations

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Pregunta 17 Informe

The mean and the range of the set of numbers: 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10 are p and q respectively. What is the value of p ÷ q?

1.11

1.85

2.45

3.85

Detalles de la respuesta

Read lesson note on Statistics (WAEC)

Statistics

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Pregunta 18 Informe

A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?

\(\frac{4}{39}\)

\(\frac{4}{13}\)

\(\frac{5}{13}\)

\(\frac{6}{13}\)

\(\frac{9}{13}\)

Detalles de la respuesta

Read lesson note on Surds (radicals) (WAEC)

Surds (radicals)

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Pregunta 19 Informe

Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?

x > 3

x ≥ 3

x ≤ 3

x < 3

x ≤ -3

Detalles de la respuesta

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Inequalities (JAMB)

Read lesson note on Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Inequalities

Simple Operations On Algebraic Expressions

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Pregunta 20 Informe

The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?

\(\frac{27}{125}\)

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

\(\frac{72}{125}\)

\(\frac{76}{125}\)

\(\frac{81}{125}\)

Detalles de la respuesta

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Probability

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Pregunta 21 Informe

The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?

60m

60\(\sqrt{3}\)m

80\(\sqrt{3}\)m

120\(\sqrt{3}\)m

240m

Detalles de la respuesta

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

Angles Of Elevation And Depression

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Pregunta 22 Informe

Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x² - 1)]

- 3x ÷ (x² - 1)

- x ÷ (x² -1)

x ÷ (x² - 1)

(x + 1) ÷ (x² - 1)

(x + 4) ÷ (x² - 1)

Detalles de la respuesta

Read lesson note on Algebraic Fractions (WAEC)

Algebraic Fractions

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Pregunta 23 Informe

An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R

3 : 1 : 4

3 : 2 : 1

3 : 2 : 4

3 : 3 : 4

3 : 2 : 8

Detalles de la respuesta

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

Read lesson note on Variation (JAMB)

Read lesson note on Financial Arithmetic (WAEC)

Sine, Cosine And Tangent Of An Angle

Variation

Financial Arithmetic

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Pregunta 24 Informe

If sin 30° = 0.5, what is the cosine of its complement?

-0.866

-0.5

0.0.5

0.866

Detalles de la respuesta

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

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Pregunta 25 Informe

What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

7.07cm\(^3\)

50.0cm\(^3\)

125.0cm\(^3\)

353.4cm\(^3\)

625.0cm\(^3\)

Detalles de la respuesta

Read lesson note on Volumes (WAEC)

Read lesson note on Simple Operations On Algebraic Expressions (WAEC)

Volumes

Simple Operations On Algebraic Expressions

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Pregunta 26 Informe

Simplify 2a² -4ab - 6a² - 10ab + 5ab - 5a²

-9(a + b)

9(a + b)

-9a (a + b)

9a(a - b)

9b(a + b)

Detalles de la respuesta

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Algebraic Expressions (WAEC)

Read lesson note on Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Simple Operations On Algebraic Expressions

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Pregunta 27 Informe

What are the factors of 2x\(^2\) - xy - 3y\(^2\) ?

(2x + 3y)(x + y)²

(2x + 3y)(x + y)

(2x + 3y)(x - y)

(2x - 3y)(x + y)

(2x - 3y)(x - y)

Detalles de la respuesta

Read lesson note on Algebraic Expressions (WAEC)

Algebraic Expressions

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Pregunta 28 Informe

A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is

x² + 3x + 4 = 0

8x² + 10x + 3 = 0

8x² +12x – 3 = 0

8x² + 10x-3.= 0

8x² + 12x + 3 = 0

Detalles de la respuesta

Read lesson note on Quadratic Equations (WAEC)

Quadratic Equations

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Pregunta 29 Informe

The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?

1.52m

1.53m

1.54

1.55m

1.56m

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Pregunta 30 Informe

If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?

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

\(\frac{2}{\sqrt{3}}\)

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