NECO SSCE - General Mathematics - 2005

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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Pregunta 6 Informe

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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Read lesson note on Bearings (WAEC)

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Bearings

Coordinate Geometry

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Pregunta 7 Informe

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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Pregunta 8 Informe

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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Pregunta 9 Informe

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}

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Probability

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Pregunta 10 Informe

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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Pregunta 11 Informe

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

Angles Of Elevation And Depression

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Pregunta 12 Informe

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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Pregunta 13 Informe

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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Pregunta 14 Informe

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

\frac{1}{2}

\frac{1}{2}

\frac{1}{2}

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Read lesson note on Solution Of Linear Equations (WAEC)

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Solution Of Linear Equations

Algebraic Expressions

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Pregunta 15 Informe

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

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

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Sine, Cosine And Tangent Of An Angle

Circles

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Pregunta 16 Informe

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

196

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Algebraic Expressions

Quadratic Equations

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Pregunta 17 Informe

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

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Read lesson note on Circles (WAEC)

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Circles

Angles Of Elevation And Depression

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Pregunta 18 Informe

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

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Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Linear Inequalities (WAEC)

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Solution Of Linear Equations

Linear Inequalities

Quadratic Equations

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Pregunta 19 Informe

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

– 2.0

– 184

-1.84

18.4

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

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Positive And Negative Integers, Rational Numbers

Quadratic Equations

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Pregunta 20 Informe

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

p⁵

p⁴

p³

p^-3

p^-5

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Indices

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Pregunta 21 Informe

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

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Solution Of Linear Equations

Quadratic Equations

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Pregunta 22 Informe

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)

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Mensuration

Triangles And Polygons

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Pregunta 23 Informe

Calculate without using tables Tan 45° + Cos 60°

\sqrt{\frac{3}{2}}

- 1

\frac{1}{2}

\frac{1}{2}

\sqrt{\frac{3}{2}}

+ 1

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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 24 Informe

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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Pregunta 25 Informe

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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Pregunta 26 Informe

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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Pregunta 27 Informe

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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Pregunta 28 Informe

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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Pregunta 29 Informe

If x + $\frac{1}{x}$ = 8, find x² + $\frac{1}{x^2}$