NECO SSCE - General Mathematics - 2008 (Objective)

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

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Loci

Angles Of Elevation And Depression

Coordinate Geometry

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Question 8 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

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Circles

Indices

Angles And Intercepts On Parallel Lines

Triangles And Polygons

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Question 9 Report

Find y if sin y = cos 48°

21°

24°

42°

48°

102°

Answer Details

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Sine, Cosine And Tangent Of An Angle

Circles

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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

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Solution Of Linear Equations

Algebraic Expressions

Algebraic Fractions

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Question 11 Report

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

$\sqrt{3}$

Answer Details

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Sine, Cosine And Tangent Of An Angle

Surds (radicals)

Logarithms

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Question 12 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 13 Report

Increase 135 in the ratio 3:5

225

216

143

140

Answer Details

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Modular Arithmetic

Ratio, Proportions And Rates

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Question 14 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 15 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

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Surds (radicals)

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Question 16 Report

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

Answer Details

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Probability

Measures Of Dispersion

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Question 17 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

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Quadratic Equations

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Question 18 Report

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

9a + 16a²

9a – 16a²

3a + 16a²

3a - 16a²

a - 16a²

Answer Details

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Surds (radicals)

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Question 19 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

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Circles

Triangles And Polygons

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Question 20 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.

Answer Details

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Variation

Areas

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Question 21 Report

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

-9

$\frac{1}{3}$

$\frac{1}{9}$

Answer Details

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Positive And Negative Integers, Rational Numbers

Logarithms

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Question 22 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

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Circles

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Question 23 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

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Ratio, Proportions And Rates

Areas

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Question 24 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 25 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 26 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 27 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

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Linear Inequalities

Measures Of Dispersion

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Question 28 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

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Solution Of Linear Equations

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Question 29 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

Answer Details

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Representation Of Data

Modular Arithmetic

Financial Arithmetic

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Question 30 Report

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

Answer Details

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Solution Of Linear Equations

Number Bases

Areas

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Question 31 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

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Sequence And Series

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Question 32 Report

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

-4

-24

Answer Details

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Solution Of Linear Equations

Algebraic Expressions

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Question 33 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

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Modular Arithmetic

Financial Arithmetic

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Question 34 Report

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

$\frac{1}{10}$

$\frac{2}{5}$

$\frac{1}{2}$

$\frac{3}{5}$

$\frac{9}{10}$

Answer Details

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Probability

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Question 35 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°

Answer Details

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Linear Inequalities

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Question 36 Report

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

-10

-12

Answer Details

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Question 37 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

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Volumes

Modular Arithmetic

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Question 38 Report

The graph of cumulative frequency distribution is known as

an ogive

a histogram

a frequency polygon

relative frequency

none

Answer Details

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Euclidean Geometry

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Question 39 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

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Quadratic Equations

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