NECO SSCE - General Mathematics - 2002

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

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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 8 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

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Volumes

Simple Operations On Algebraic Expressions

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Question 9 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

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Circles

Number Bases

Triangles And Polygons

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Question 10 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 11 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

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Solution Of Linear Equations

Algebraic Expressions

Simple Operations On Algebraic Expressions

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Question 12 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

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Bearings

Angles Of Elevation And Depression

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Question 13 Report

If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?

\(\frac{1}{\sqrt{3}}\)

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

\(\frac{1}{2}\)

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

\(\sqrt{3}\)

Answer Details

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Sine, Cosine And Tangent Of An Angle

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Question 14 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 15 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

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Angles Of Elevation And Depression

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Question 16 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)

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Algebraic Fractions

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Question 17 Report

The mean and the range of the set of numbers: 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10 are p and q respectively. What is the value of p ÷ q?

1.11

1.85

2.45

3.85

Answer Details

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Statistics

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Question 18 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)

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Algebraic Expressions

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Question 19 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?

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

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

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

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

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

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Surds (radicals)

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Question 20 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

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Probability

Surds (radicals)

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Question 21 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

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Euclidean Geometry

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Question 22 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

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Modular Arithmetic

Financial Arithmetic

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Question 23 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

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Simple Operations On Algebraic Expressions

Quadratic Equations

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Question 24 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?

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

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

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

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

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

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Probability

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Question 25 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 26 Report

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

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

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

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

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

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

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Solution Of Linear Equations

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Question 27 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 28 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

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Quadratic Equations

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Question 29 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

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Number Bases

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Question 30 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

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Volumes

Areas

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Question 31 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

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Bearings

Angles

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Question 32 Report