NECO SSCE - General Mathematics - 2008

Question 1 Report

The graph of cumulative frequency distribution is known as

an ogive

a histogram

a frequency polygon

relative frequency

none

Euclidean Geometry

View Answer

Question 2 Report

The chances of Usman and Dele passing a Mathematics test are 12 and 13 respectively. What is the probability that neither of them passes the test?

\frac{3}{5}

\frac{2}{5}

\frac{4}{15}

\frac{1}{5}

\frac{2}{15}

View Answer

Question 3 Report

The ages of Abu, Segun, Kofi and Funmi are 17 years, (2x -13) years, 14 years and 16 years respectively. What is the value of x if their mean ages is 17.5 years?

18

23

25

36

70

Solution Of Linear Equations

Algebraic Expressions

Algebraic Fractions

View Answer

Question 4 Report

Evaluate (2⁵ × 4^-2) ÷ (2^-3 × 2⁶)

9

8

3

\frac{8}{9}

\frac{1}{4}

Indices

View Answer

Question 5 Report

Multiply (3 $\sqrt{a}$ - 4a) by (4a + 3 $\sqrt{a}$ )

9a + 16a²

9a – 16a²

3a + 16a²

3a - 16a²

a - 16a²

Surds (radicals)

View Answer

Question 6 Report

The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone

7cm

22cm

28cm

49cm

154cm

Modular Arithmetic

Financial Arithmetic

View Answer

Question 7 Report

If A = $\frac{1}{2}$ h (a + b), make ‘a’ the subject of the formula

(2A – 2bh) ÷ b

(2A – bh) ÷ h

(2A – bh) ÷ b

(A – 2bh) ÷ h

(2A – h) ÷ bh

View Answer

Question 8 Report

x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2?

2.5

5

6.25

6.52

7.5

View Answer

Question 9 Report

P = {x:(x - 2)(x + 3) (x - 4)(x + 5) = 0}. The elements in P are

-5,-2, 3, 4

-5, -3, 2, 4

-5, -3, -2,4

-4, -3, -2, 5

2, 3, 4, 5

View Answer

Question 10 Report

The radii of two similar cylindrical jugs are in the ratio 3:7. Calculate the ratio of their volumes

1 : 04

3 : 07

9 : 49

0.086111111

27 : 343

Volumes

Modular Arithmetic

View Answer

Question 11 Report

Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?

9.60m

6.06m

2.54m

2.53m

2.00m

Loci

Angles Of Elevation And Depression

Coordinate Geometry

View Answer

Question 12 Report

In proving the congruence of two triangles, which of the following is not important?

two sides and the included angles

two angles and a side

three sides

three angles

right angle, hypotenuse and another side

Circles

Indices

Angles And Intercepts On Parallel Lines

Triangles And Polygons

View Answer

Question 13 Report

A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre?

10cm

6cm

5cm

3cm

1cm

Circles

View Answer

Question 14 Report

If y + $\frac{1}{y}$ = 9, evaluate y² + $\frac{1}{y^2}$

27

38

54

63

79

Solution Of Linear Equations

Number Bases

Areas

View Answer

Question 15 Report

A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = $\frac{22}{7}$ )

14.1cm²

95.5cm²

190.9cm²

381.9cm²

763.7cm²

View Answer

Question 16 Report

2 bags of sugar at N_x per bag are mixed with 3 bags of sugar at N_y per bag. What is the cost in N of the mixture per bag?

\frac{(2x + 3y)}{5}

\frac{(x + y)}{2}

\frac{x}{2} +\frac{y}{3}

\frac{(x + y)}{5}

\frac{(3x + 2y)}{5}

Solution Of Linear Equations

View Answer

Question 17 Report

Rationalize the expression $\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}$

(44 + 3

\sqrt{3}

) ÷ 83

(44 + 2

\sqrt{3}

) ÷ 83

(44 - 3

\sqrt{3}

) ÷ 83

(44 - 4

\sqrt{3}

) ÷ 83

(44 - 2

\sqrt{3}

) ÷ 83

Surds (radicals)

View Answer

Question 18 Report

Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°

271.5cm²

135.8cm²

96.0cm²

48.0cm²

33.9cm²

Areas

Angles

View Answer

Question 19 Report

Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?

\frac{1}{10}

\frac{2}{5}

\frac{1}{2}

\frac{3}{5}

\frac{9}{10}

Probability

View Answer

Question 20 Report

Find y if sin y = cos 48°

21°

24°

42°

48°

102°

Sine, Cosine And Tangent Of An Angle

Circles

View Answer

Question 21 Report

Simplify the expression: $Log_{4}16$ + $Log_{3}27$ + $Log_{8}4096$

-9

\frac{1}{3}

\frac{1}{9}

3

9

Positive And Negative Integers, Rational Numbers

Logarithms

View Answer

Question 22 Report

A pair of shoes was sold for N2,250.00 at a loss of 10%. What was the cost price?

N750.00

N2,500.00

N2,538.00

N3,288.00

N4,038.00

Representation Of Data

Modular Arithmetic

Financial Arithmetic

View Answer

Question 23 Report

If tan α = $\frac{1}{2}$ and tan β = $\frac{1}{3}$ and both α and β are acute, find tan (α + β).

0.015

1

10

39.81

45

View Answer

Question 24 Report

Given that x² + y² + k = 60 and x = $\sqrt{10}$ when y = 4 , find the value of k.

56

34

32

-34

-56

Answer Details

x $^{2}$ + y $^{2}$ + k = 60

(?10) $^{2}$ + (4) $^{2}$ + k = 60

k + 10 + 16 = 60

k = 60 - 26

k = 34

Read lesson note on Quadratic Equations (WAEC)

Quadratic Equations

View Answer

Question 25 Report

A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he covered?

262.5

945

970

995

1822.9

Fractions, Decimals And Approximations

Financial Arithmetic

View Answer

Question 26 Report

If 5x - 3 = 4x - 7, what is the value 6x?

24

6

4

-4

-24

Solution Of Linear Equations

Algebraic Expressions

View Answer

Question 27 Report

If the 3rd and the 5th terms of an A.P are 6 and 10 respectively, find the 1st term and the common difference respectively.

1, 2

2, 2

2, 3

3, 2

3,3

Sequence And Series

View Answer

Question 28 Report

The ages of 10 students in a class are; 15, 16, 15.5, 17, 14.9, 14.5, 14.1, 15.1, 14.8. find the range of their ages.

6.1

4.8

2.9

2.1

1.9

Linear Inequalities

Measures Of Dispersion

View Answer

Question 29 Report

Which of the following angular inequalities defines an obtuse angle?

0° < x < 90°

0° ≤ x > 180°

90° < x < 180°

90° ≤ x < 180°

90° > x < 180°

Linear Inequalities

View Answer

Question 30 Report

Construct a quadratic equation whose roots are - $\frac{3}{2}$ and 7

3x² + 11x + 21 = 0

2x² + 11x + 21 = 0

2x² - 11x – 21 = 0

3x² - 11x - 21 = 0

x² - 11x – 21 = 0

Quadratic Equations

View Answer

Question 31 Report

The median of a distribution can be estimated from

Barchart

Cumulative frequency curve

Frequency polygon

Pictorial

Pie chart

Representation Of Data

Permutation And Combination

Measures Of Location

View Answer

Question 32 Report

Find the coefficient of xy in the expansion of (x - 4y)(3x + 2y)

14

12

10

-10

-12

View Answer

Question 33 Report

T varies inversely as the square root of F when T = 7, F = 2 $\frac{1}{4}$ . Find T when F = $\frac{27}{9}$

1.5

6.3

6.30

12.6

21

Variation

Progression

View Answer

Question 34 Report

Increase 135 in the ratio 3:5

225

216

143

140

Modular Arithmetic

Ratio, Proportions And Rates

View Answer

Question 35 Report

If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years?

N2,500.00

N5,000.00

N12,500.00

N27,500.00

N125,000.00

Ratio, Proportions And Rates

Areas

View Answer

Question 36 Report

which of the following properties is/are common to parallelograms and rectangles?
I. all angles are right angles
II. the diagonals are equals.
III. the opposite sides are equal and parallel.

I and II

I and III

II and III

I

III

Circles

Triangles And Polygons

View Answer

Question 37 Report

Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2750, find y.

51

48

30

25

18