NECO SSCE - General Mathematics - 2008

Question 1 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

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Question 2 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

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Question 3 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

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Question 4 Report

Increase 135 in the ratio 3:5

225

216

143

140

Modular Arithmetic

Ratio, Proportions And Rates

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Question 5 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

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Question 6 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

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Question 7 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

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Question 8 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

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Question 9 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

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Question 10 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

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Question 11 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

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Question 12 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

Variation

Areas

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Question 13 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

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Question 14 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

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Question 15 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}

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Question 16 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

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Question 17 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

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Question 18 Report

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

2

3

4

5

6

Probability

Measures Of Dispersion

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Question 19 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

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Question 20 Report

Evaluate (2⁵ × 4^-2) ÷ (2^-3 × 2⁶)

9

8

3

\frac{8}{9}

\frac{1}{4}

Indices

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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°

90° ≤ x < 180°

90° > x < 180°

Linear Inequalities

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Question 22 Report

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

9a + 16a²

9a – 16a²

3a + 16a²

3a - 16a²

a - 16a²

Surds (radicals)

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Question 23 Report

Find y if sin y = cos 48°

21°

24°

42°

48°

102°

Sine, Cosine And Tangent Of An Angle

Circles

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Question 24 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

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Question 25 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