NECO SSCE - General Mathematics - 2005

Pergunta 1 Relatório

If A(I,2,3,...,10) ; B = (-5,-4,.....,-1) ; C = (-1, 0, 1, 2,....5) List all the elements in (B ∪ C) ∩ A

(-1,2,...5)

(-1,1,....5)

(1,2,..5)

(2,3,...10)

(1,2,...10)

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Pergunta 2 Relatório

T varies directly as D and inversely as A. Given that T = 6, D = 3, and A = 2, find A when T = 3 and D = 6.

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Pergunta 3 Relatório

A chord 20cm long subtends an angle of 60° at the circumference of a circle, what is the diameter of the circle the nearest cm?

12cm

20cm

23cm

60cm

80cm

Detalhes da Resposta

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

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Pergunta 4 Relatório

The parallel sides of a trapezium are 13cm and 7cm. If the area of the trapezium is 50cm2, find the perpendicular distance between the parallel sides.

5cm

6cm

7cm

10cm

12cm

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Read lesson note on Mensuration (JAMB)

Read lesson note on Triangles And Polygons (WAEC)

Mensuration

Triangles And Polygons

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Pergunta 5 Relatório

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

p⁵

p⁴

p³

p^-3

p^-5

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Indices

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Pergunta 6 Relatório

A flagpole is placed at the top of a tower. The angles of elevation of the bottom and top of the flagpole from a point on the ground 10m away are 40° and 50° respectively. Find the length of the flagpole.

1.8m

3.5m

8.4m

11.9m

17.3m

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Angles Of Elevation And Depression

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Pergunta 7 Relatório

A bag contains 4 blue and 8 red identical balls. If two balls are picked at random with replacement, what is the probability of picking two balls of different colours?

\(\frac{13}{26}\)

\(\frac{5}{18}\)

\(\frac{4}{9}\)

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

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Probability

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Pergunta 8 Relatório

Mohammed is 8 years older than Joy now. In five years’ time he will be twice as old as Joy. How old is Joy now?

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

3years

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

6 years

8 years

Detalhes da Resposta

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Number Bases (WAEC)

Solution Of Linear Equations

Number Bases

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Pergunta 9 Relatório

If a = {x : 1 < x < 9} ; b = {x : 0 < x < 9} ; C = {x : 2 x < 9} and a, b, c U, what are the elements in U?

U = {-1 < x < 9}

U = {0 < x < 9}

U = {1 < x < 9}

U = {1 < x < 10}

{2 < x < 10}

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Pergunta 10 Relatório

Find the value of 2a - b if a + b = 8 and 4a - b = 22

Detalhes da Resposta

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Quadratic Equations (WAEC)

Solution Of Linear Equations

Quadratic Equations

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Pergunta 11 Relatório

A car dealer sells a car and makes a profit of 15%. If the car costs N320,000.00, how much did he sell the car?

N272,000.00

N296,000.00

N300,000.00

N368,000.00

N400,000.00

Detalhes da Resposta

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

Read lesson note on Financial Arithmetic (WAEC)

Ratio, Proportions And Rates

Financial Arithmetic

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Pergunta 12 Relatório

Evaluate 0.0025 × 2.5 × 102 to 2 significant figures.

0.625 × 10^-3

0.63 × 10^-2

6.25 × 10^-3

6.3 × 10^-2

6.3 × 10^-1

Detalhes da Resposta

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

Fractions, Decimals And Approximations

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Pergunta 13 Relatório

If 7 is subtracted from twice a certain number x, the result is at most 5. What is the range of the number?

x < 2

x < 3

x < 4

x < 5

x < 6

Detalhes da Resposta

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Linear Inequalities (WAEC)

Read lesson note on Quadratic Equations (WAEC)

Solution Of Linear Equations

Linear Inequalities

Quadratic Equations

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Pergunta 14 Relatório

If 25a² = 5^-1 × 125. Find the value of a?

a = -1

a = 1

a = ±1

a = ±5

a = 25

Detalhes da Resposta

Read lesson note on Indices (WAEC)

Indices

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Pergunta 15 Relatório

Find the Iength of a diagonal of a square whose area is 288cm².

24cm

48cm

95cm

100cm

124cm

Detalhes da Resposta

Read lesson note on Volumes (WAEC)

Read lesson note on Lengths And Perimeters (WAEC)

Volumes

Lengths And Perimeters

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Pergunta 16 Relatório

Simplify (6 - x - x2) ÷ (x2 - 4)

(3 + x) ÷ (x + 2)

(x - 3) ÷ (x - 2)

(x - 3) ÷ (x + 3)

(3 - x) ÷ (x + 2)

(3 - x) ÷ (x - 2)

Detalhes da Resposta

Read lesson note on Algebraic Expressions (WAEC)

Read lesson note on Algebraic Fractions (WAEC)

Algebraic Expressions

Algebraic Fractions

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Pergunta 17 Relatório

For what value(s) of x is the expression (x² + 15x + 50) ÷ (x - 5) not defined

-5, -10

-10

-5

10, 5

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Solution Of Linear Equations

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Pergunta 18 Relatório

A is at 50°N and B is at 10°N, If A and B are on the same longitude, find the distance AS. Correct your answer to Four significant figures. (Earth radius = 6400km)

6468km

5469km

4470km

3470km

2488km

Detalhes da Resposta

Read lesson note on Circles (WAEC)

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

Circles

Angles Of Elevation And Depression

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Pergunta 19 Relatório

If y²+ 14y + k is a perfect square, then k =

196

Detalhes da Resposta

Read lesson note on Algebraic Expressions (WAEC)

Read lesson note on Quadratic Equations (WAEC)

Algebraic Expressions

Quadratic Equations

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Pergunta 20 Relatório

A surveyor measured the length of a obtained 42.55 metres. If his measurement was more than the actual length and the percentage error of his measurement was 8%, calculate the actual length of the land

39.40 metres

46.20 metres

46.25 metres

46.50 metres

48.25 metres

Detalhes da Resposta

Read lesson note on Percentages (WAEC)

Read lesson note on Fractions, Decimals, Approximations And Percentage (JAMB)

Percentages

Fractions, Decimals, Approximations And Percentage

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Pergunta 21 Relatório

If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12?

0.0432

0.4322

1.0791

1.2552

1.5225

Detalhes da Resposta

Read lesson note on Logarithms (WAEC)

Logarithms

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Pergunta 22 Relatório

If 2x : ( x + 1) = 3 : 2, what is the value of x?

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

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

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

Detalhes da Resposta

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

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Pergunta 23 Relatório

Two fair dice are tossed together once. What is the probability of getting a total of at least 9 from the outcome?

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

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

\(\frac{5}{18}\)

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

\(\frac{13}{18}\)

Detalhes da Resposta

Read lesson note on Probability (WAEC)

Read lesson note on Probability (JAMB)

Probability

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Pergunta 24 Relatório

Solve for x in the quadratic equation. 2x² + 12x + 10 = 0

x = -5, -1

x = -5,1

x = -3, -2

x = 3, 2

x = 6, 5

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Read lesson note on Quadratic Equations (WAEC)

Quadratic Equations

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Pergunta 25 Relatório

The diagonals of a rhombus are 6cm and 8cm. Find the area of the rhombus.

96cm²

48cm²

24cm²

0.14cm²

12cm2

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Pergunta 26 Relatório

3 - 7, 8 - 12, 13 - 17, 18 - 22. Which of the following is/are true?
I. The class Interval is 4
II. The class boundaries are 2.5, 7.5, 12.5, 18.5, 22.5
III. The mid-marks are 5, 10, 15, and 20

I only

II only

III only

I and II only

II and III only

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Read lesson note on Representation Of Data (JAMB)

Representation Of Data

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Pergunta 27 Relatório

What is the positive difference between the squares of 2.5 and 2.1 to 1 significant figures?

– 2.0