NECO SSCE - General Mathematics - 2005…

Ajụjụ 1 Ripọtì

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

24m Azịza ziri ezi

14m

12m

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Circles (WAEC)

Gụọ akwụkwọ nkuzi na Angles Of Elevation And Depression (WAEC)

Circles

Angles Of Elevation And Depression

Lee Azịza

Ajụjụ 2 Ripọtì

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} Azịza ziri ezi

U = {1 < x < 10}

{2 < x < 10}

Akọwa Nkọwa

Lee Azịza

Ajụjụ 3 Ripọtì

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 Azịza ziri ezi

46.20 metres

46.25 metres

46.50 metres

48.25 metres

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Percentages (WAEC)

Gụọ akwụkwọ nkuzi na Fractions, Decimals, Approximations And Percentage (JAMB)

Percentages

Fractions, Decimals, Approximations And Percentage

Lee Azịza

Ajụjụ 4 Ripọtì

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

49 Azịza ziri ezi

196

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Algebraic Expressions (WAEC)

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Algebraic Expressions

Quadratic Equations

Lee Azịza

Ajụjụ 5 Ripọtì

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?

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

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

\(\frac{4}{9}\) Azịza ziri ezi

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Probability (WAEC)

Probability

Lee Azịza

Ajụjụ 6 Ripọtì

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 Azịza ziri ezi

60cm

80cm

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sine, Cosine And Tangent Of An Angle (WAEC)

Gụọ akwụkwọ nkuzi na Circles (WAEC)

Sine, Cosine And Tangent Of An Angle

Circles

Lee Azịza

Ajụjụ 7 Ripọtì

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

10001\(_{two}\)

10011\(_{two}\)

10111\(_{two}\)

11111\(_{two}\) Azịza ziri ezi

111111\(_{two}\)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Number Bases (WAEC)

Number Bases

Lee Azịza

Ajụjụ 8 Ripọtì

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

a = -1

a = 1

a = ±1 Azịza ziri ezi

a = ±5

a = 25

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Indices (WAEC)

Indices

Lee Azịza

Ajụjụ 9 Ripọtì

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 Azịza ziri ezi

8.4m

11.9m

17.3m

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

Lee Azịza

Ajụjụ 10 Ripọtì

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 Azịza ziri ezi

N400,000.00

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Ratio, Proportions And Rates (WAEC)

Gụọ akwụkwọ nkuzi na Financial Arithmetic (WAEC)

Ratio, Proportions And Rates

Financial Arithmetic

Lee Azịza

Ajụjụ 11 Ripọtì

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

p⁵

p⁴

p³

p^-3

p^-5 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Indices (WAEC)

Indices

Lee Azịza

Ajụjụ 12 Ripọtì

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 Azịza ziri ezi

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

6 years

8 years

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Gụọ akwụkwọ nkuzi na Number Bases (WAEC)

Solution Of Linear Equations

Number Bases

Lee Azịza

Ajụjụ 13 Ripọtì

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

14.6

6.2

1.2 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Representation Of Data (JAMB)

Gụọ akwụkwọ nkuzi na Measures Of Location (JAMB)

Representation Of Data

Measures Of Location

Lee Azịza

Ajụjụ 14 Ripọtì

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

1.4 Azịza ziri ezi

2.4

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Measures Of Dispersion (JAMB)

Measures Of Dispersion

Lee Azịza

Ajụjụ 15 Ripọtì

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

– 2.0

– 184

-1.84

2 Azịza ziri ezi

18.4

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Positive And Negative Integers, Rational Numbers (WAEC)

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Positive And Negative Integers, Rational Numbers

Quadratic Equations

Lee Azịza

Ajụjụ 16 Ripọtì

Simplify (6 - x - x2) ÷ (x2 - 4)

(3 + x) ÷ (x + 2) Azịza ziri ezi

(x - 3) ÷ (x - 2)

(x - 3) ÷ (x + 3)

(3 - x) ÷ (x + 2)

(3 - x) ÷ (x - 2)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Algebraic Expressions (WAEC)

Gụọ akwụkwọ nkuzi na Algebraic Fractions (WAEC)

Algebraic Expressions

Algebraic Fractions

Lee Azịza

Ajụjụ 17 Ripọtì

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

96cm²

48cm²

24cm² Azịza ziri ezi

0.14cm²

12cm2

Akọwa Nkọwa

Lee Azịza

Ajụjụ 18 Ripọtì

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

x = -5, -1 Azịza ziri ezi

x = -5,1

x = -3, -2

x = 3, 2

x = 6, 5

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Quadratic Equations

Lee Azịza

Ajụjụ 19 Ripọtì

Calculate without using tables Tan 45° + Cos 60°

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

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

1\(\frac{1}{2}\) Azịza ziri ezi

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sine, Cosine And Tangent Of An Angle (WAEC)

Gụọ akwụkwọ nkuzi na Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

Lee Azịza

Ajụjụ 20 Ripọtì

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

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

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

3 Azịza ziri ezi

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Gụọ akwụkwọ nkuzi na Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Lee Azịza

Ajụjụ 21 Ripọtì

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

10 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Solution Of Linear Equations

Quadratic Equations

Lee Azịza

Ajụjụ 22 Ripọtì

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.

8 Azịza ziri ezi

Akọwa Nkọwa

Lee Azịza

Ajụjụ 23 Ripọtì

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) Azịza ziri ezi

(2,3,...10)

(1,2,...10)

Akọwa Nkọwa

Lee Azịza

Ajụjụ 24 Ripọtì

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

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

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

\(\frac{5}{18}\) Azịza ziri ezi

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

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Probability (WAEC)

Gụọ akwụkwọ nkuzi na Probability (JAMB)

Probability

Lee Azịza

Ajụjụ 25 Ripọtì

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

62 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Algebraic Expressions (WAEC)

Algebraic Expressions

Lee Azịza

Ajụjụ 26 Ripọtì

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 Azịza ziri ezi

6cm

7cm

10cm

12cm

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Mensuration (JAMB)

Gụọ akwụkwọ nkuzi na Triangles And Polygons (WAEC)

Mensuration

Triangles And Polygons

Lee Azịza

Ajụjụ 27 Ripọtì

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

log 3

log 9

log 20

3 log 2

3 log 3 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Indices, Logarithms And Surds (JAMB)

Gụọ akwụkwọ nkuzi na Logarithms (WAEC)

Indices, Logarithms And Surds

Logarithms

Lee Azịza

Ajụjụ 28 Ripọtì

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 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Gụọ akwụkwọ nkuzi na Linear Inequalities (WAEC)

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Solution Of Linear Equations

Linear Inequalities

Quadratic Equations

Lee Azịza

Ajụjụ 29 Ripọtì

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 Azịza ziri ezi

16.86km

44.57km

67.17km

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Bearings (WAEC)

Gụọ akwụkwọ nkuzi na Coordinate Geometry (JAMB)

Bearings

Coordinate Geometry

Lee Azịza

Ajụjụ 30 Ripọtì

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

0.0432

0.4322

1.0791 Azịza ziri ezi

1.2552

1.5225

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Logarithms (WAEC)

Logarithms

Lee Azịza

Ajụjụ 31 Ripọtì

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 Azịza ziri ezi

II only

III only

I and II only

II and III only

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Representation Of Data (JAMB)

Representation Of Data

Lee Azịza

Ajụjụ 32 Ripọtì

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

(x + b) Azịza ziri ezi

(b - a)

(x - a)

(a + b)

(a - b)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Gụọ akwụkwọ nkuzi na Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Lee Azịza

Ajụjụ 33 Ripọtì

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

-5, -10

-10

-5

5 Azịza ziri ezi

10, 5

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Lee Azịza

Ajụjụ 34 Ripọtì

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

24cm Azịza ziri ezi

48cm

95cm

100cm

124cm

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Volumes (WAEC)

Gụọ akwụkwọ nkuzi na Lengths And Perimeters (WAEC)

Volumes

Lengths And Perimeters

Lee Azịza

Ajụjụ 35 Ripọtì

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 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Fractions, Decimals And Approximations (WAEC)

Fractions, Decimals And Approximations

Lee Azịza

Ajụjụ 36 Ripọtì

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 Azịza ziri ezi

3470km

2488km

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Circles (WAEC)

Gụọ akwụkwọ nkuzi na Angles Of Elevation And Depression (WAEC)

Circles

Angles Of Elevation And Depression

Lee Azịza






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NECO SSCE - General Mathematics - 2005 (Objective)