NECO SSCE - General Mathematics - 2005…

Ibeere 1 Ìròyìn

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

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

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

\(\frac{5}{18}\) Ìdáhùn tó tọ́

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

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

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Probability (WAEC)

Ka ìwé ẹ̀kọ́ nípa Probability (JAMB)

Probability

Wo Idahun

Ibeere 2 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 Ìdáhùn tó tọ́

8.4m

11.9m

17.3m

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

Wo Idahun

Ibeere 3 Ìròyìn

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

24m Ìdáhùn tó tọ́

14m

12m

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Circles (WAEC)

Ka ìwé ẹ̀kọ́ nípa Angles Of Elevation And Depression (WAEC)

Circles

Angles Of Elevation And Depression

Wo Idahun

Ibeere 4 Ìròyìn

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

49 Ìdáhùn tó tọ́

196

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Algebraic Expressions (WAEC)

Ka ìwé ẹ̀kọ́ nípa Quadratic Equations (WAEC)

Algebraic Expressions

Quadratic Equations

Wo Idahun

Ibeere 5 Ìròyìn

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

-5, -10

-10

-5

5 Ìdáhùn tó tọ́

10, 5

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Wo Idahun

Ibeere 6 Ìròyìn

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 Ìdáhùn tó tọ́

46.20 metres

46.25 metres

46.50 metres

48.25 metres

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Percentages (WAEC)

Ka ìwé ẹ̀kọ́ nípa Fractions, Decimals, Approximations And Percentage (JAMB)

Percentages

Fractions, Decimals, Approximations And Percentage

Wo Idahun

Ibeere 7 Ìròyìn

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

96cm²

48cm²

24cm² Ìdáhùn tó tọ́

0.14cm²

12cm2

Awọn alaye Idahun

Wo Idahun

Ibeere 8 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 Ìdáhùn tó tọ́

6cm

7cm

10cm

12cm

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Mensuration (JAMB)

Ka ìwé ẹ̀kọ́ nípa Triangles And Polygons (WAEC)

Mensuration

Triangles And Polygons

Wo Idahun

Ibeere 9 Ìròyìn

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

a = -1

a = 1

a = ±1 Ìdáhùn tó tọ́

a = ±5

a = 25

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Indices (WAEC)

Indices

Wo Idahun

Ibeere 10 Ìròyìn

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

(x + b) Ìdáhùn tó tọ́

(b - a)

(x - a)

(a + b)

(a - b)

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Solution Of Linear Equations (WAEC)

Ka ìwé ẹ̀kọ́ nípa Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Wo Idahun

Ibeere 11 Ìròyìn

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

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

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

3 Ìdáhùn tó tọ́

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

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Solution Of Linear Equations (WAEC)

Ka ìwé ẹ̀kọ́ nípa Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Wo Idahun

Ibeere 12 Ìròyìn

Calculate without using tables Tan 45° + Cos 60°

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

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

1\(\frac{1}{2}\) Ìdáhùn tó tọ́

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

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Sine, Cosine And Tangent Of An Angle (WAEC)

Ka ìwé ẹ̀kọ́ nípa Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

Wo Idahun

Ibeere 13 Ìròyìn

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

0.0432

0.4322

1.0791 Ìdáhùn tó tọ́

1.2552

1.5225

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Logarithms (WAEC)

Logarithms

Wo Idahun

Ibeere 14 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) Ìdáhùn tó tọ́

(2,3,...10)

(1,2,...10)

Awọn alaye Idahun

Wo Idahun

Ibeere 15 Ìròyìn

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

p⁵

p⁴

p³

p^-3

p^-5 Ìdáhùn tó tọ́

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Indices (WAEC)

Indices

Wo Idahun

Ibeere 16 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} Ìdáhùn tó tọ́

U = {1 < x < 10}

{2 < x < 10}

Awọn alaye Idahun

Wo Idahun

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 Ìdáhùn tó tọ́

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Fractions, Decimals And Approximations (WAEC)

Fractions, Decimals And Approximations

Wo Idahun

Ibeere 18 Ìròyìn

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

x = -5, -1 Ìdáhùn tó tọ́

x = -5,1

x = -3, -2

x = 3, 2

x = 6, 5

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Quadratic Equations (WAEC)

Quadratic Equations

Wo Idahun

Ibeere 19 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?

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

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

\(\frac{4}{9}\) Ìdáhùn tó tọ́

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

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Probability (WAEC)

Probability

Wo Idahun

Ibeere 20 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 Ìdáhùn tó tọ́

N400,000.00

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Ratio, Proportions And Rates (WAEC)

Ka ìwé ẹ̀kọ́ nípa Financial Arithmetic (WAEC)

Ratio, Proportions And Rates

Financial Arithmetic

Wo Idahun

Ibeere 21 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 Ìdáhùn tó tọ́

60cm

80cm

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Sine, Cosine And Tangent Of An Angle (WAEC)

Ka ìwé ẹ̀kọ́ nípa Circles (WAEC)

Sine, Cosine And Tangent Of An Angle

Circles

Wo Idahun

Ibeere 22 Ìròyìn

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

62 Ìdáhùn tó tọ́

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Algebraic Expressions (WAEC)

Algebraic Expressions

Wo Idahun

Ibeere 23 Ìròyìn

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

10001\(_{two}\)

10011\(_{two}\)

10111\(_{two}\)

11111\(_{two}\) Ìdáhùn tó tọ́

111111\(_{two}\)

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Number Bases (WAEC)

Number Bases

Wo Idahun

Ibeere 24 Ìròyìn

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

log 3

log 9

log 20

3 log 2

3 log 3 Ìdáhùn tó tọ́

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Indices, Logarithms And Surds (JAMB)

Ka ìwé ẹ̀kọ́ nípa Logarithms (WAEC)

Indices, Logarithms And Surds

Logarithms

Wo Idahun

Ibeere 25 Ìròyìn

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

– 2.0

– 184

-1.84

2 Ìdáhùn tó tọ́

18.4

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Positive And Negative Integers, Rational Numbers (WAEC)

Ka ìwé ẹ̀kọ́ nípa Quadratic Equations (WAEC)

Positive And Negative Integers, Rational Numbers

Quadratic Equations

Wo Idahun

Ibeere 26 Ìròyìn

Simplify (6 - x - x2) ÷ (x2 - 4)

(3 + x) ÷ (x + 2) Ìdáhùn tó tọ́

(x - 3) ÷ (x - 2)

(x - 3) ÷ (x + 3)

(3 - x) ÷ (x + 2)

(3 - x) ÷ (x - 2)

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Algebraic Expressions (WAEC)

Ka ìwé ẹ̀kọ́ nípa Algebraic Fractions (WAEC)

Algebraic Expressions

Algebraic Fractions

Wo Idahun

Ibeere 27 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 Ìdáhùn tó tọ́

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Solution Of Linear Equations (WAEC)

Ka ìwé ẹ̀kọ́ nípa Linear Inequalities (WAEC)

Ka ìwé ẹ̀kọ́ nípa Quadratic Equations (WAEC)

Solution Of Linear Equations

Linear Inequalities

Quadratic Equations

Wo Idahun

Ibeere 28 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 Ìdáhùn tó tọ́

16.86km

44.57km

67.17km

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Bearings (WAEC)

Ka ìwé ẹ̀kọ́ nípa Coordinate Geometry (JAMB)

Bearings

Coordinate Geometry

Wo Idahun

Ibeere 29 Ìròyìn

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

24cm Ìdáhùn tó tọ́

48cm

95cm

100cm

124cm

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Volumes (WAEC)

Ka ìwé ẹ̀kọ́ nípa Lengths And Perimeters (WAEC)

Volumes

Lengths And Perimeters

Wo Idahun

Ibeere 30 Ìròyìn

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

1.4 Ìdáhùn tó tọ́

2.4

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Measures Of Dispersion (JAMB)

Measures Of Dispersion

Wo Idahun

Ibeere 31 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.

8 Ìdáhùn tó tọ́

Awọn alaye Idahun

Wo Idahun

Ibeere 32 Ìròyìn

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

14.6

6.2

1.2 Ìdáhùn tó tọ́

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Representation Of Data (JAMB)

Ka ìwé ẹ̀kọ́ nípa Measures Of Location (JAMB)

Representation Of Data

Measures Of Location

Wo Idahun

Ibeere 33 Ìròyìn

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 Ìdáhùn tó tọ́

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

6 years

8 years

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Solution Of Linear Equations (WAEC)

Ka ìwé ẹ̀kọ́ nípa Number Bases (WAEC)

Solution Of Linear Equations

Number Bases

Wo Idahun

Ibeere 34 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 Ìdáhùn tó tọ́

3470km

2488km

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Circles (WAEC)

Ka ìwé ẹ̀kọ́ nípa Angles Of Elevation And Depression (WAEC)

Circles

Angles Of Elevation And Depression

Wo Idahun

Ibeere 35 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 Ìdáhùn tó tọ́

II only

III only

I and II only

II and III only

Awọn alaye Idahun

Ka ìwé ẹ̀kọ́ nípa Representation Of Data (JAMB)

Representation Of Data

Wo Idahun

Ibeere 36 Ìròyìn

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