NECO SSCE - General Mathematics - 2002…

Pergunta 1 Relatório

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 Resposta correta

Detalhes da Resposta

Ler a nota de aula em Bearings (WAEC)

Ler a nota de aula em Angles (WAEC)

Bearings

Angles

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Pergunta 2 Relatório

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 Resposta correta

N35.50

N25.80

Detalhes da Resposta

Ler a nota de aula em Sine, Cosine And Tangent Of An Angle (WAEC)

Ler a nota de aula em Positive And Negative Integers, Rational Numbers (WAEC)

Ler a nota de aula em 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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Pergunta 3 Relatório

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) Resposta correta

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

Detalhes da Resposta

Ler a nota de aula em Algebraic Expressions (WAEC)

Algebraic Expressions

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Pergunta 4 Relatório

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} Resposta correta

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

Detalhes da Resposta

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Pergunta 5 Relatório

A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

9.0cm

8.5cm

7.2cm

4.3cm

3.0cm Resposta correta

Detalhes da Resposta

Ler a nota de aula em Euclidean Geometry (JAMB)

Euclidean Geometry

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Pergunta 6 Relatório

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 Resposta correta

27cm

Detalhes da Resposta

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Pergunta 7 Relatório

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

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

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

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

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

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

Detalhes da Resposta

Ler a nota de aula em Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

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Pergunta 8 Relatório

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

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

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

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

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

\(\sqrt{3}\)

Detalhes da Resposta

Ler a nota de aula em Sine, Cosine And Tangent Of An Angle (WAEC)

Sine, Cosine And Tangent Of An Angle

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Pergunta 9 Relatório

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?

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

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

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

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

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

Detalhes da Resposta

Ler a nota de aula em Probability (WAEC)

Ler a nota de aula em Surds (radicals) (WAEC)

Probability

Surds (radicals)

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Pergunta 10 Relatório

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?

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

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

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

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

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

Detalhes da Resposta

Ler a nota de aula em Surds (radicals) (WAEC)

Surds (radicals)

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Pergunta 11 Relatório

When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%?

N4800.00

N400

N1800.00 Resposta correta

N1500.00

N960.00

Detalhes da Resposta

Ler a nota de aula em Modular Arithmetic (WAEC)

Ler a nota de aula em Financial Arithmetic (WAEC)

Modular Arithmetic

Financial Arithmetic

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Pergunta 12 Relatório

What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures?

440cm\(^2\)

220cm\(^2\)

88cm\(^2\)

44cm\(^2\) Resposta correta

22cm\(^2\)

Detalhes da Resposta

Ler a nota de aula em Volumes (WAEC)

Ler a nota de aula em Areas (WAEC)

Volumes

Areas

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Pergunta 13 Relatório

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 Resposta correta

Detalhes da Resposta

Ler a nota de aula em Bearings (WAEC)

Ler a nota de aula em Angles Of Elevation And Depression (WAEC)

Bearings

Angles Of Elevation And Depression

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Pergunta 14 Relatório

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 Resposta correta

Detalhes da Resposta

Ler a nota de aula em Sine, Cosine And Tangent Of An Angle (WAEC)

Ler a nota de aula em Variation (JAMB)

Ler a nota de aula em Financial Arithmetic (WAEC)

Sine, Cosine And Tangent Of An Angle

Variation

Financial Arithmetic

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Pergunta 15 Relatório

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 Resposta correta

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

1 years

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

Detalhes da Resposta

Ler a nota de aula em Fractions, Decimals And Approximations (WAEC)

Fractions, Decimals And Approximations

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Pergunta 16 Relatório

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

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

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

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

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

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

Detalhes da Resposta

Ler a nota de aula em Simple Operations On Algebraic Expressions (WAEC)

Ler a nota de aula em Quadratic Equations (WAEC)

Simple Operations On Algebraic Expressions

Quadratic Equations

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Pergunta 17 Relatório

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

312cm\(^2\) Resposta correta

96cm\(^2\)

36cm\(^2\)

24cm\(^2\)

12cm\(^2\)

Detalhes da Resposta

Ler a nota de aula em Volumes (WAEC)

Ler a nota de aula em Areas (WAEC)

Volumes

Areas

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Pergunta 18 Relatório

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 Resposta correta

120\(\sqrt{3}\)m

240m

Detalhes da Resposta

Ler a nota de aula em Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

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Pergunta 19 Relatório

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?

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

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

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

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

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

Detalhes da Resposta

Ler a nota de aula em Probability (WAEC)

Probability

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Pergunta 20 Relatório

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 Resposta correta

1.55m

1.56m

Detalhes da Resposta

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Pergunta 21 Relatório

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

-0.866

-0.5

0.0.5 Resposta correta

0.866

Detalhes da Resposta

Ler a nota de aula em Sine, Cosine And Tangent Of An Angle (WAEC)

Ler a nota de aula em Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

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Pergunta 22 Relatório

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 Resposta correta

8x² + 12x + 3 = 0

Detalhes da Resposta

Ler a nota de aula em Quadratic Equations (WAEC)

Quadratic Equations

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Pergunta 23 Relatório

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) Resposta correta

T = (as – 1)²

Detalhes da Resposta

Ler a nota de aula em Algebraic Expressions (WAEC)

Algebraic Expressions

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Pergunta 24 Relatório

If \(\frac{t}{1}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when I = 4.5; t = 5 secs

3.20 ms²

11.31 ms²

32.00 ms² Resposta correta

56.57 ms²

160.00 ms²

Detalhes da Resposta

Ler a nota de aula em Probability (WAEC)

Ler a nota de aula em Modular Arithmetic (WAEC)

Probability

Modular Arithmetic

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Pergunta 25 Relatório

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 Resposta correta

1.95 × 10^-2

1.95 × 10^-3

Detalhes da Resposta

Ler a nota de aula em Number Bases (WAEC)

Ler a nota de aula em Number Bases (JAMB)

Number Bases

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Pergunta 26 Relatório

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 Resposta correta

3.9 × 10^-5m³

Detalhes da Resposta

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Pergunta 27 Relatório

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

-9(a + b)

9(a + b)

-9a (a + b) Resposta correta

9a(a - b)

9b(a + b)

Detalhes da Resposta

Ler a nota de aula em Solution Of Linear Equations (WAEC)

Ler a nota de aula em Algebraic Expressions (WAEC)

Ler a nota de aula em Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Simple Operations On Algebraic Expressions

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Pergunta 28 Relatório

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

- 3x ÷ (x² - 1)

- x ÷ (x² -1) Resposta correta

x ÷ (x² - 1)

(x + 1) ÷ (x² - 1)

(x + 4) ÷ (x² - 1)

Detalhes da Resposta

Ler a nota de aula em Algebraic Fractions (WAEC)

Algebraic Fractions

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Pergunta 29 Relatório

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\(^3\) Resposta correta

353.4cm\(^3\)

625.0cm\(^3\)

Detalhes da Resposta

Ler a nota de aula em Volumes (WAEC)

Ler a nota de aula em Simple Operations On Algebraic Expressions (WAEC)

Volumes

Simple Operations On Algebraic Expressions

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Pergunta 30 Relatório

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 Resposta correta

x ≤ 3

x < 3

x ≤ -3

Detalhes da Resposta

Ler a nota de aula em Solution Of Linear Equations (WAEC)

Ler a nota de aula em Inequalities (JAMB)

Ler a nota de aula em Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Inequalities

Simple Operations On Algebraic Expressions

Ver Resposta

Pergunta 31 Relatório

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 Resposta correta

2.45

3.85

Detalhes da Resposta

Ler a nota de aula em Statistics (WAEC)

Statistics

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Pergunta 32 Relatório

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 Resposta correta

26cm

30cm

Detalhes da Resposta

Ler a nota de aula em Circles (WAEC)

Ler a nota de aula em Number Bases (JAMB)

Ler a nota de aula em Triangles And Polygons (WAEC)

Circles

Number Bases

Triangles And Polygons

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NECO SSCE - General Mathematics - 2002 (Objective)