NECO SSCE - General Mathematics - 2008 (Objective)

Question 1 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?

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{4}{15}$ Correct answer

$\frac{1}{5}$

$\frac{2}{15}$

Answer Details

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Question 2 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 Correct answer

(44 - 4$\sqrt{3}$) ÷ 83

(44 - 2$\sqrt{3}$) ÷ 83

Answer Details

Read lesson note on Surds (radicals) (WAEC)

Surds (radicals)

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Question 3 Report

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

-4

-24 Correct answer

Answer Details

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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Question 4 Report

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

-10 Correct answer

-12

Answer Details

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Question 5 Report

Increase 135 in the ratio 3:5

225 Correct answer

216

143

140

Answer Details

Read lesson note on Modular Arithmetic (WAEC)

Read lesson note on Ratio, Proportions And Rates (WAEC)

Modular Arithmetic

Ratio, Proportions And Rates

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Question 6 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 Correct answer

39.81

Answer Details

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Question 7 Report

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

(2A – 2bh) ÷ b

(2A – bh) ÷ h Correct answer

(2A – bh) ÷ b

(A – 2bh) ÷ h

(2A – h) ÷ bh

Answer Details

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Question 8 Report

The graph of cumulative frequency distribution is known as

an ogive Correct answer

a histogram

a frequency polygon

relative frequency

none

Answer Details

Read lesson note on Euclidean Geometry (JAMB)

Euclidean Geometry

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Question 9 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

III Correct answer

Answer Details

Read lesson note on Circles (WAEC)

Read lesson note on Triangles And Polygons (WAEC)

Circles

Triangles And Polygons

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Question 10 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 Correct answer

2, 3

3, 2

3,3

Answer Details

Read lesson note on Sequence And Series (WAEC)

Sequence And Series

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Question 11 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 Correct answer

three sides

three angles

right angle, hypotenuse and another side

Answer Details

Read lesson note on Circles (WAEC)

Read lesson note on Indices (WAEC)

Read lesson note on Angles And Intercepts On Parallel Lines (WAEC)

Read lesson note on Triangles And Polygons (WAEC)

Circles

Indices

Angles And Intercepts On Parallel Lines

Triangles And Polygons

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Question 12 Report

Find the value of log$_{\sqrt{3}}$ 81

8 Correct answer

$\sqrt{3}$

Answer Details

Read lesson note on Sine, Cosine And Tangent Of An Angle (WAEC)

Read lesson note on Surds (radicals) (WAEC)

Read lesson note on Logarithms (WAEC)

Sine, Cosine And Tangent Of An Angle

Surds (radicals)

Logarithms

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Question 13 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 Correct answer

2.00m

Answer Details

Read lesson note on Loci (WAEC)

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

Read lesson note on Coordinate Geometry (WAEC)

Loci

Angles Of Elevation And Depression

Coordinate Geometry

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Question 14 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 Correct answer

5.7

12.6

Answer Details

Read lesson note on Variation (WAEC)

Read lesson note on Progression (JAMB)

Variation

Progression

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Question 15 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 Correct answer

49cm

154cm

Answer Details

Read lesson note on Modular Arithmetic (WAEC)

Read lesson note on Financial Arithmetic (WAEC)

Modular Arithmetic

Financial Arithmetic

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Question 16 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 Correct answer

Answer Details

Read lesson note on Volumes (WAEC)

Read lesson note on Modular Arithmetic (WAEC)

Volumes

Modular Arithmetic

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Question 17 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 Correct answer

763.7cm²

Answer Details

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Question 18 Report

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

34 Correct answer

-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

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Question 19 Report

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

79 Correct answer

Answer Details

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Number Bases (WAEC)

Read lesson note on Areas (WAEC)

Solution Of Linear Equations

Number Bases

Areas

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Question 20 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

6.25 Correct answer

6.52

7.5

Answer Details

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Question 21 Report

Which of the following angular inequalities defines an obtuse angle?

0° < x < 90°

0° ≤ x > 180°

90° < x < 180° Correct answer

90° ≤ x < 180°

90° > x < 180°

Answer Details

Read lesson note on Linear Inequalities (WAEC)

Linear Inequalities

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Question 22 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 Correct answer

Answer Details

Read lesson note on Areas (WAEC)

Read lesson note on Angles (WAEC)

Areas

Angles

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Question 23 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 Correct answer

2.1

1.9

Answer Details

Read lesson note on Linear Inequalities (WAEC)

Read lesson note on Measures Of Dispersion (JAMB)

Linear Inequalities

Measures Of Dispersion

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Question 24 Report

Find y if sin y = cos 48°

21°

24°

42° Correct answer

48°

102°

Answer Details

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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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 Correct answer

970

995

1822.9

Answer Details

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

Read lesson note on Financial Arithmetic (WAEC)

Fractions, Decimals And Approximations

Financial Arithmetic

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Question 26 Report

Evaluate (2⁵ × 4^-2) ÷ (2^-3 × 2⁶)

$\frac{8}{9}$

$\frac{1}{4}$ Correct answer

Answer Details

Read lesson note on Indices (WAEC)

Indices

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Question 27 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 Correct answer

N2,538.00

N3,288.00

N4,038.00

Answer Details

Read lesson note on Representation Of Data (JAMB)

Read lesson note on Modular Arithmetic (WAEC)

Read lesson note on Financial Arithmetic (WAEC)

Representation Of Data

Modular Arithmetic

Financial Arithmetic

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Question 28 Report

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

9a + 16a²

9a – 16a² Correct answer

3a + 16a²

3a - 16a²

a - 16a²

Answer Details

Read lesson note on Surds (radicals) (WAEC)

Surds (radicals)

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Question 29 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?

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

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

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

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

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

Answer Details

Read lesson note on Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

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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 Correct answer

3x² - 11x - 21 = 0

x² - 11x – 21 = 0

Answer Details

Read lesson note on Quadratic Equations (WAEC)

Quadratic Equations

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Question 31 Report

The median of a distribution can be estimated from

Barchart

Cumulative frequency curve Correct answer

Frequency polygon

Pictorial

Pie chart

Answer Details

Read lesson note on Representation Of Data (JAMB)

Read lesson note on Permutation And Combination (JAMB)

Read lesson note on Measures Of Location (JAMB)

Representation Of Data

Permutation And Combination

Measures Of Location

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Question 32 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 Correct answer

N125,000.00

Answer Details

Read lesson note on Ratio, Proportions And Rates (WAEC)

Read lesson note on Areas (WAEC)

Ratio, Proportions And Rates

Areas

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Question 33 Report

Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number

3 Correct answer

Answer Details

Read lesson note on Probability (WAEC)

Read lesson note on Measures Of Dispersion (JAMB)

Probability

Measures Of Dispersion

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Question 34 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 Correct answer

-5, -3, -2,4

-4, -3, -2, 5

2, 3, 4, 5

Answer Details

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Question 35 Report

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

$\frac{1}{10}$

$\frac{2}{5}$

$\frac{1}{2}$

$\frac{3}{5}$ Correct answer

$\frac{9}{10}$

Answer Details

Read lesson note on Probability (WAEC)

Probability

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Question 36 Report

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

-9

$\frac{1}{3}$

$\frac{1}{9}$

9 Correct answer

Answer Details

Read lesson note on Positive And Negative Integers, Rational Numbers (WAEC)

Read lesson note on Logarithms (WAEC)

Positive And Negative Integers, Rational Numbers

Logarithms

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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.

30 Correct answer

Answer Details

Read lesson note on Variation (JAMB)

Read lesson note on Areas (WAEC)

Variation

Areas

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Question 38 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 Correct answer

6cm

5cm

3cm

1cm

Answer Details

Read lesson note on Circles (WAEC)

Circles

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Question 39 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 Correct answer

Answer Details

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Algebraic Expressions (WAEC)

Read lesson note on Algebraic Fractions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Algebraic Fractions

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