NECO SSCE - General Mathematics - 2008 (Objective)

Question 1 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

Answer Details

Read lesson note on Sequence And Series (WAEC)

Sequence And Series

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Question 2 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

6.52

7.5

Answer Details

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Question 3 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

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 4 Report

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

9a + 16a²

9a – 16a²

3a + 16a²

3a - 16a²

a - 16a²

Answer Details

Read lesson note on Surds (radicals) (WAEC)

Surds (radicals)

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Question 5 Report

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

-9

$\frac{1}{3}$

$\frac{1}{9}$

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 6 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

Answer Details

Read lesson note on Surds (radicals) (WAEC)

Surds (radicals)

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Question 7 Report

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

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 8 Report

The median of a distribution can be estimated from

Barchart

Cumulative frequency curve

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 9 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

Answer Details

Read lesson note on Volumes (WAEC)

Read lesson note on Modular Arithmetic (WAEC)

Volumes

Modular Arithmetic

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Question 10 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?

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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Question 11 Report

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

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 12 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?

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{4}{15}$

$\frac{1}{5}$

$\frac{2}{15}$

Answer Details

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Question 13 Report

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

-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 14 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

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 15 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?

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

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

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

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

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

Answer Details

Read lesson note on Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

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Question 16 Report

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

$\sqrt{3}$

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 17 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

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 18 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

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 19 Report

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

-10

-12

Answer Details

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Question 20 Report

Find y if sin y = cos 48°

21°

24°

42°

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 21 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

Answer Details

Read lesson note on Quadratic Equations (WAEC)

Quadratic Equations

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Question 22 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

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 23 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

Answer Details

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Question 24 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

39.81

Answer Details

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Question 25 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

Answer Details

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Question 26 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

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 27 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

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 28 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

Answer Details

Read lesson note on Circles (WAEC)

Circles

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Question 29 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

Answer Details

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Question 30 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.