NECO SSCE - General Mathematics - 2005

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 Triangles And Polygons (WAEC)

Mensuration

Triangles And Polygons

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Pergunta 8 Relatório

If (x - a) is a factor of bx - ax + x² - ab, what is the other factor?

(x + b)

(b - a)

(x - a)

(a + b)

(a - b)

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Solution Of Linear Equations

Algebraic Expressions

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Pergunta 9 Relatório

Calculate without using tables Tan 45° + Cos 60°

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

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

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

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

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Sine, Cosine And Tangent Of An Angle

Trigonometry

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Pergunta 10 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 11 Relatório

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

196

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Algebraic Expressions

Quadratic Equations

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Pergunta 12 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 13 Relatório

Find the standard deviation of the numbers 6, 9, 10, 8 and 7

1.4

2.4

Detalhes da Resposta

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Measures Of Dispersion

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Pergunta 14 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

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Logarithms

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Pergunta 15 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 16 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 17 Relatório

A ship sails 6km from a port on a bearing 070° and then 8km on a bearing of 040°. Find the distance from the port.

7.21km

13.53km

16.86km

44.57km

67.17km

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Bearings

Coordinate Geometry

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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

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Circles

Angles Of Elevation And Depression

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Pergunta 19 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 20 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 21 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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Representation Of Data

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Pergunta 22 Relatório

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

a = -1

a = 1

a = ±1

a = ±5

a = 25

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Indices

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Pergunta 23 Relatório

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

Detalhes da Resposta

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Solution Of Linear Equations

Quadratic Equations

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Pergunta 24 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 25 Relatório

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

24cm

48cm

95cm

100cm

124cm

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Volumes

Lengths And Perimeters

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Pergunta 26 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)

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Algebraic Expressions

Algebraic Fractions

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Pergunta 27 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

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Ratio, Proportions And Rates

Financial Arithmetic

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Pergunta 28 Relatório

What is the Value of 11101\(_{two}\)+ 10011\(_{two}\) - 10001\(_{two}\)?

10001\(_{two}\)

10011\(_{two}\)

10111\(_{two}\)

11111\(_{two}\)

111111\(_{two}\)

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Number Bases

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Pergunta 29 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 30 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

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Percentages

Fractions, Decimals, Approximations And Percentage

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Pergunta 31 Relatório