NECO SSCE - General Mathematics - 2005…

Swali 1 Ripoti

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 Jibu sahihi

6cm

7cm

10cm

12cm

Maelezo ya Majibu

Soma maelezo ya somo kwenye Mensuration (JAMB)

Soma maelezo ya somo kwenye Triangles And Polygons (WAEC)

Mensuration

Triangles And Polygons

Tazama Jibu

Swali 2 Ripoti

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 Jibu sahihi

8.4m

11.9m

17.3m

Maelezo ya Majibu

Soma maelezo ya somo kwenye Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

Tazama Jibu

Swali 3 Ripoti

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 Jibu sahihi

46.20 metres

46.25 metres

46.50 metres

48.25 metres

Maelezo ya Majibu

Soma maelezo ya somo kwenye Percentages (WAEC)

Soma maelezo ya somo kwenye Fractions, Decimals, Approximations And Percentage (JAMB)

Percentages

Fractions, Decimals, Approximations And Percentage

Tazama Jibu

Swali 4 Ripoti

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

24m Jibu sahihi

14m

12m

Maelezo ya Majibu

Soma maelezo ya somo kwenye Circles (WAEC)

Soma maelezo ya somo kwenye Angles Of Elevation And Depression (WAEC)

Circles

Angles Of Elevation And Depression

Tazama Jibu

Swali 5 Ripoti

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) Jibu sahihi

(2,3,...10)

(1,2,...10)

Maelezo ya Majibu

Tazama Jibu

Swali 6 Ripoti

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

96cm²

48cm²

24cm² Jibu sahihi

0.14cm²

12cm2

Maelezo ya Majibu

Tazama Jibu

Swali 7 Ripoti

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

10001\(_{two}\)

10011\(_{two}\)

10111\(_{two}\)

11111\(_{two}\) Jibu sahihi

111111\(_{two}\)

Maelezo ya Majibu

Soma maelezo ya somo kwenye Number Bases (WAEC)

Number Bases

Tazama Jibu

Swali 8 Ripoti

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

a = -1

a = 1

a = ±1 Jibu sahihi

a = ±5

a = 25

Maelezo ya Majibu

Soma maelezo ya somo kwenye Indices (WAEC)

Indices

Tazama Jibu

Swali 9 Ripoti

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

p⁵

p⁴

p³

p^-3

p^-5 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Indices (WAEC)

Indices

Tazama Jibu

Swali 10 Ripoti

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 Jibu sahihi

16.86km

44.57km

67.17km

Maelezo ya Majibu

Soma maelezo ya somo kwenye Bearings (WAEC)

Soma maelezo ya somo kwenye Coordinate Geometry (JAMB)

Bearings

Coordinate Geometry

Tazama Jibu

Swali 11 Ripoti

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

24cm Jibu sahihi

48cm

95cm

100cm

124cm

Maelezo ya Majibu

Soma maelezo ya somo kwenye Volumes (WAEC)

Soma maelezo ya somo kwenye Lengths And Perimeters (WAEC)

Volumes

Lengths And Perimeters

Tazama Jibu

Swali 12 Ripoti

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

– 2.0

– 184

-1.84

2 Jibu sahihi

18.4

Maelezo ya Majibu

Soma maelezo ya somo kwenye Positive And Negative Integers, Rational Numbers (WAEC)

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Positive And Negative Integers, Rational Numbers

Quadratic Equations

Tazama Jibu

Swali 13 Ripoti

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

49 Jibu sahihi

196

Maelezo ya Majibu

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Algebraic Expressions

Quadratic Equations

Tazama Jibu

Swali 14 Ripoti

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 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Fractions, Decimals And Approximations (WAEC)

Fractions, Decimals And Approximations

Tazama Jibu

Swali 15 Ripoti

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

62 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Algebraic Expressions

Tazama Jibu

Swali 16 Ripoti

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 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Soma maelezo ya somo kwenye Linear Inequalities (WAEC)

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Solution Of Linear Equations

Linear Inequalities

Quadratic Equations

Tazama Jibu

Swali 17 Ripoti

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

14.6

6.2

1.2 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Representation Of Data (JAMB)

Soma maelezo ya somo kwenye Measures Of Location (JAMB)

Representation Of Data

Measures Of Location

Tazama Jibu

Swali 18 Ripoti

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

0.0432

0.4322

1.0791 Jibu sahihi

1.2552

1.5225

Maelezo ya Majibu

Soma maelezo ya somo kwenye Logarithms (WAEC)

Logarithms

Tazama Jibu

Swali 19 Ripoti

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?

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

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

\(\frac{4}{9}\) Jibu sahihi

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

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

Probability

Tazama Jibu

Swali 20 Ripoti

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

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

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

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

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

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

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

Soma maelezo ya somo kwenye Probability (JAMB)

Probability

Tazama Jibu

Swali 21 Ripoti

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} Jibu sahihi

U = {1 < x < 10}

{2 < x < 10}

Maelezo ya Majibu

Tazama Jibu

Swali 22 Ripoti

Simplify (6 - x - x2) ÷ (x2 - 4)

(3 + x) ÷ (x + 2) Jibu sahihi

(x - 3) ÷ (x - 2)

(x - 3) ÷ (x + 3)

(3 - x) ÷ (x + 2)

(3 - x) ÷ (x - 2)

Maelezo ya Majibu

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Soma maelezo ya somo kwenye Algebraic Fractions (WAEC)

Algebraic Expressions

Algebraic Fractions

Tazama Jibu

Swali 23 Ripoti

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 Jibu sahihi

N400,000.00

Maelezo ya Majibu

Soma maelezo ya somo kwenye Ratio, Proportions And Rates (WAEC)

Soma maelezo ya somo kwenye Financial Arithmetic (WAEC)

Ratio, Proportions And Rates

Financial Arithmetic

Tazama Jibu

Swali 24 Ripoti

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

-5, -10

-10

-5

5 Jibu sahihi

10, 5

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Tazama Jibu

Swali 25 Ripoti

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

log 3

log 9

log 20

3 log 2

3 log 3 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Indices, Logarithms And Surds (JAMB)

Soma maelezo ya somo kwenye Logarithms (WAEC)

Indices, Logarithms And Surds

Logarithms

Tazama Jibu

Swali 26 Ripoti

Calculate without using tables Tan 45° + Cos 60°

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

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

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

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

Maelezo ya Majibu

Soma maelezo ya somo kwenye Sine, Cosine And Tangent Of An Angle (WAEC)

Soma maelezo ya somo kwenye Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

Tazama Jibu

Swali 27 Ripoti

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

1.4 Jibu sahihi

2.4

Maelezo ya Majibu

Soma maelezo ya somo kwenye Measures Of Dispersion (JAMB)

Measures Of Dispersion

Tazama Jibu

Swali 28 Ripoti

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 Jibu sahihi

60cm

80cm

Maelezo ya Majibu

Soma maelezo ya somo kwenye Sine, Cosine And Tangent Of An Angle (WAEC)

Soma maelezo ya somo kwenye Circles (WAEC)

Sine, Cosine And Tangent Of An Angle

Circles

Tazama Jibu

Swali 29 Ripoti

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

x = -5, -1 Jibu sahihi

x = -5,1

x = -3, -2

x = 3, 2

x = 6, 5

Maelezo ya Majibu

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Quadratic Equations

Tazama Jibu

Swali 30 Ripoti

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

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

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

3 Jibu sahihi

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

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Tazama Jibu

Swali 31 Ripoti

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 Jibu sahihi

3470km

2488km

Maelezo ya Majibu

Soma maelezo ya somo kwenye Circles (WAEC)

Soma maelezo ya somo kwenye Angles Of Elevation And Depression (WAEC)

Circles

Angles Of Elevation And Depression

Tazama Jibu

Swali 32 Ripoti

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

(x + b) Jibu sahihi

(b - a)

(x - a)

(a + b)

(a - b)

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Tazama Jibu

Swali 33 Ripoti

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 Jibu sahihi

II only

III only

I and II only

II and III only

Maelezo ya Majibu

Soma maelezo ya somo kwenye Representation Of Data (JAMB)

Representation Of Data

Tazama Jibu

Swali 34 Ripoti

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