NECO SSCE - General Mathematics - 2002 (Objective)

Question 1 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

Quadratic Equations

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Question 2 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

Solution Of Linear Equations

Inequalities

Simple Operations On Algebraic Expressions

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Question 3 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

Angles Of Elevation And Depression

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Question 4 Report

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

-9(a + b)

9(a + b)

-9a (a + b)

9a(a - b)

9b(a + b)

Solution Of Linear Equations

Algebraic Expressions

Simple Operations On Algebraic Expressions

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Question 5 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\(^2\)

Volumes

Areas

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Question 6 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

Bearings

Angles

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Question 7 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

Number Bases

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Question 8 Report

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

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

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

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

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

\(\sqrt{3}\)

Sine, Cosine And Tangent Of An Angle

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Question 9 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

65

1.85

2.45

3.85

Statistics

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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?

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

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

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

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

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

Probability

Surds (radicals)

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Question 11 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

Bearings

Angles Of Elevation And Depression

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Question 12 Report

After what length of time will N2400.00 yield an interest of N60.00 at 1\(\frac{1}{2}\)% per annum?

2\(\frac{4}{5}\) years

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

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

1 years

\(\frac{3}{5}\) year

Fractions, Decimals And Approximations

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Question 13 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\(^2\)

Volumes

Areas

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Question 14 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)

Algebraic Expressions

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Question 15 Report

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

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

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

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

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

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

Simple Operations On Algebraic Expressions

Quadratic Equations

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Question 16 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?

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

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

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

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

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

Surds (radicals)

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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

Algebraic Expressions

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Question 18 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

Probability

Modular Arithmetic

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Question 19 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

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Question 20 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\(^3\)

Volumes

Simple Operations On Algebraic Expressions

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Question 21 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

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Question 22 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

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Question 23 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

Sine, Cosine And Tangent Of An Angle

Positive And Negative Integers, Rational Numbers

Ratio, Proportions And Rates

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Question 24 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

Modular Arithmetic

Financial Arithmetic

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Question 25 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?

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

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

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

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

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

Probability

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Question 26 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}

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Question 27 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

Euclidean Geometry

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Question 28 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

Sine, Cosine And Tangent Of An Angle

Variation

Financial Arithmetic

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Question 29 Report

If sin 30° = 0.5, what is the cosine of its complement?

-0.866

-0.5

0.0.5

0.866

1

Sine, Cosine And Tangent Of An Angle

Trigonometry

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Question 30 Report

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

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

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

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

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

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

Solution Of Linear Equations

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Question 31 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