NECO SSCE - General Mathematics - 2002

Question 1 Report

Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

1.995 × 10³

1.95 × 10²

1.95 × 10¹

1.95 × 10^-2

1.95 × 10^-3

Answer Details

Read lesson note on Number Bases (WAEC)

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Number Bases

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Question 2 Report

What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?

312cm\(^2\)

96cm\(^2\)

36cm\(^2\)

24cm\(^2\)

12cm\(^2\)

Answer Details

Read lesson note on Volumes (WAEC)

Read lesson note on Areas (WAEC)

Volumes

Areas

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Question 3 Report

What are the factors of 2x\(^2\) - xy - 3y\(^2\) ?

(2x + 3y)(x + y)²

(2x + 3y)(x + y)

(2x + 3y)(x - y)

(2x - 3y)(x + y)

(2x - 3y)(x - y)

Answer Details

Read lesson note on Algebraic Expressions (WAEC)

Algebraic Expressions

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Question 4 Report

A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is

x² + 3x + 4 = 0

8x² + 10x + 3 = 0

8x² +12x – 3 = 0

8x² + 10x-3.= 0

8x² + 12x + 3 = 0

Answer Details

Read lesson note on Quadratic Equations (WAEC)

Quadratic Equations

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Question 5 Report

What must be added to 3x² - 5x to make it a perfect square?

\(\frac{36}{25}\)

\(\frac{25}{36}\)

-\(\frac{25}{36}\)

-\(\frac{5}{6}\)

-\(\frac{6}{5}\)

Answer Details

Read lesson note on Simple Operations On Algebraic Expressions (WAEC)

Read lesson note on Quadratic Equations (WAEC)

Simple Operations On Algebraic Expressions

Quadratic Equations

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Question 6 Report

The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?

60m

60\(\sqrt{3}\)m

80\(\sqrt{3}\)m

120\(\sqrt{3}\)m

240m

Answer Details

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

Angles Of Elevation And Depression

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Question 7 Report

A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

9.0cm

8.5cm

7.2cm

4.3cm

3.0cm

Answer Details

Read lesson note on Euclidean Geometry (JAMB)

Euclidean Geometry

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Question 8 Report

Simplify 2a² -4ab - 6a² - 10ab + 5ab - 5a²

-9(a + b)

9(a + b)

-9a (a + b)

9a(a - b)

9b(a + b)

Answer Details

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Algebraic Expressions (WAEC)

Read lesson note on Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Simple Operations On Algebraic Expressions

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Question 9 Report

The length, breadth and height of a cuboid are 8cm, 7\(\frac{1}{2}\)cm and 6\(\frac{1}{2}\) cm respectively. What Is its volume in m³ (leave your answer in standard form)?

3.9 × 10^-1m³

3.9 × 10^-2m³

3.9 × 10^-3m³

3.9 × 10^-4m³

3.9 × 10^-5m³

Answer Details

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Question 10 Report

One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?

\(\frac{2}{3}\)

\(\frac{3}{8}\)

\(\frac{7}{24}\)

\(\frac{1}{4}\)

\(\frac{1}{24}\)

Answer Details

Read lesson note on Probability (WAEC)

Read lesson note on Surds (radicals) (WAEC)

Probability

Surds (radicals)

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Question 11 Report

If \(\frac{t}{1}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when I = 4.5; t = 5 secs

3.20 ms²

11.31 ms²

32.00 ms²

56.57 ms²

160.00 ms²

Answer Details

Read lesson note on Probability (WAEC)

Read lesson note on Modular Arithmetic (WAEC)

Probability

Modular Arithmetic

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Question 12 Report

When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%?

N4800.00

N400

N1800.00

N1500.00

N960.00

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 13 Report

Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)

\(\frac{17}{30}\)

\(\frac{65}{102}\)

\(\frac{25}{34}\)

\(\frac{102}{75}\)

\(\frac{34}{25}\)

Answer Details

Read lesson note on Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

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Question 14 Report

A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?

20.64m

29.48m

44.49m

49.55m

62.76m

Answer Details

Read lesson note on Bearings (WAEC)

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

Bearings

Angles Of Elevation And Depression

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Question 15 Report

The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?

\(\frac{27}{125}\)

\(\frac{9}{25}\)

\(\frac{72}{125}\)

\(\frac{76}{125}\)

\(\frac{81}{125}\)

Answer Details

Read lesson note on Probability (WAEC)

Probability

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Question 16 Report

The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?

1.52m

1.53m

1.54

1.55m

1.56m

Answer Details

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Question 17 Report

If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?

T = (a²s² – 1)

T = (a²s²– 1) ÷ a

T = a ÷ (a² - s²)

T = a ÷ (a²s² – 1)

T = (as – 1)²

Answer Details

Read lesson note on Algebraic Expressions (WAEC)

Algebraic Expressions

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Question 18 Report

A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?

\(\frac{4}{39}\)

\(\frac{4}{13}\)

\(\frac{5}{13}\)

\(\frac{6}{13}\)

\(\frac{9}{13}\)

Answer Details

Read lesson note on Surds (radicals) (WAEC)

Surds (radicals)

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Question 19 Report

A boy leaves station X on a bearing of 035° to station y which is 21km away. He then travels to another station Z on a bearing of 125°. If Z is directly East of X, what is the distance from X to his present position?

3.0km

12.04km

17.2km

34.18km

36.61km

Answer Details

Read lesson note on Bearings (WAEC)

Read lesson note on Angles (WAEC)

Bearings

Angles

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Question 20 Report

What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures?

440cm\(^2\)

220cm\(^2\)

88cm\(^2\)

44cm\(^2\)

22cm\(^2\)

Answer Details

Read lesson note on Volumes (WAEC)

Read lesson note on Areas (WAEC)

Volumes

Areas

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Question 21 Report

Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

{17}

{16, 17, 19, 20}

{1, 4, 15, 17, 18}

{14, 15, 16, 18, 19, 20}

{14, 15, 16, 17, 18, 19, 20}

Answer Details

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Question 22 Report

Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x² - 1)]

- 3x ÷ (x² - 1)

- x ÷ (x² -1)

x ÷ (x² - 1)

(x + 1) ÷ (x² - 1)

(x + 4) ÷ (x² - 1)

Answer Details

Read lesson note on Algebraic Fractions (WAEC)

Algebraic Fractions

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Question 23 Report

Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?

x > 3

x ≥ 3

x ≤ 3

x < 3

x ≤ -3

Answer Details

Read lesson note on Solution Of Linear Equations (WAEC)

Read lesson note on Inequalities (JAMB)

Read lesson note on Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Inequalities

Simple Operations On Algebraic Expressions

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Question 24 Report

What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

7.07cm\(^3\)

50.0cm\(^3\)

125.0cm\(^3\)

353.4cm\(^3\)

625.0cm\(^3\)

Answer Details

Read lesson note on Volumes (WAEC)

Read lesson note on Simple Operations On Algebraic Expressions (WAEC)

Volumes

Simple Operations On Algebraic Expressions

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Question 25 Report

A wire was shaped to form a square of area 81cm\(^2\). An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?

3cm

6cm

9cm

12cm

27cm

Answer Details

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Question 26 Report

Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?

N45.00

N42.50

N40.00

N35.50

N25.80

Answer Details

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

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

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

Sine, Cosine And Tangent Of An Angle

Positive And Negative Integers, Rational Numbers

Ratio, Proportions And Rates

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Question 27 Report

An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R

3 : 1 : 4

3 : 2 : 1

3 : 2 : 4

3 : 3 : 4

3 : 2 : 8

Answer Details

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

Read lesson note on Variation (JAMB)

Read lesson note on Financial Arithmetic (WAEC)

Sine, Cosine And Tangent Of An Angle

Variation

Financial Arithmetic

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Question 28 Report

Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?

7cm

15cm

22cm

26cm

30cm

Answer Details

Read lesson note on Circles (WAEC)

Read lesson note on Number Bases (JAMB)

Read lesson note on Triangles And Polygons (WAEC)

Circles

Number Bases

Triangles And Polygons