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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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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Ibeere 7 Ìròyìn

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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Read lesson note on Probability (WAEC)

Probability

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Ibeere 8 Ìròyìn

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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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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Ibeere 9 Ìròyìn

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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Ibeere 10 Ìròyìn

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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Ibeere 11 Ìròyìn

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)

Read lesson note on Quadratic Equations (WAEC)

Positive And Negative Integers, Rational Numbers

Quadratic Equations

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Ibeere 12 Ìròyìn

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)

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

Circles

Angles Of Elevation And Depression

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Ibeere 13 Ìròyìn

Find the absolute mean deviation of the sample 10, 12, 14, 11, 13.

14.6

6.2

1.2

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Read lesson note on Representation Of Data (JAMB)

Read lesson note on Measures Of Location (JAMB)

Representation Of Data

Measures Of Location

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Ibeere 14 Ìròyìn

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

24cm

48cm

95cm

100cm

124cm

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Read lesson note on Volumes (WAEC)

Read lesson note on Lengths And Perimeters (WAEC)

Volumes

Lengths And Perimeters

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Ibeere 15 Ìròyìn

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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Wo Idahun

Ibeere 16 Ìròyìn

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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Read lesson note on Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

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Ibeere 17 Ìròyìn

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

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

Fractions, Decimals And Approximations

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Ibeere 18 Ìròyìn

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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Ibeere 19 Ìròyìn

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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Ibeere 20 Ìròyìn

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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Ibeere 21 Ìròyìn

In Δ ABC, A = 60°, C = 90° and AC = 12m. Find the Length of the hypotenuse.

24m

14m

12m

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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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Ibeere 22 Ìròyìn

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)

Read lesson note on Quadratic Equations (WAEC)

Solution Of Linear Equations

Linear Inequalities

Quadratic Equations

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Ibeere 23 Ìròyìn

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

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

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

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

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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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Ibeere 24 Ìròyìn

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)

Read lesson note on Circles (WAEC)

Sine, Cosine And Tangent Of An Angle

Circles

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Ibeere 25 Ìròyìn

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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Ibeere 26 Ìròyìn

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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Read lesson note on Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

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Ibeere 27 Ìròyìn

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

a = -1

a = 1

a = ±1

a = ±5

a = 25

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Read lesson note on Indices (WAEC)

Indices

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Ibeere 28 Ìròyìn

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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Read lesson note on Logarithms (WAEC)

Logarithms

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Ibeere 29 Ìròyìn

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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Read lesson note on Probability (WAEC)

Read lesson note on Probability (JAMB)

Probability

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Ibeere 30 Ìròyìn

Evaluate log 18 + log⁶ - log16\(^{\frac{1}{2}}\)

log 3

log 9

log 20

3 log 2

3 log 3

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Read lesson note on Logarithms (WAEC)

Indices, Logarithms And Surds

Logarithms

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Ibeere 31 Ìròyìn

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

p⁵

p⁴

p³

p^-3

p^-5

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Read lesson note on Indices (WAEC)

Indices

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Ibeere 32 Ìròyìn

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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Ibeere 33 Ìròyìn

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

96cm²