NECO SSCE - General Mathematics - 2002…

Vraag 1 Verslag

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 Juist antwoord

1.55m

1.56m

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Vraag 2 Verslag

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 Juist antwoord

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Lees lesnotitie op Angles Of Elevation And Depression (WAEC)

Bearings

Angles Of Elevation And Depression

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Vraag 3 Verslag

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) Juist antwoord

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

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Lees lesnotitie op Algebraic Expressions (WAEC)

Algebraic Expressions

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Vraag 4 Verslag

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 Juist antwoord

26cm

30cm

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Lees lesnotitie op Circles (WAEC)

Lees lesnotitie op Number Bases (JAMB)

Lees lesnotitie op Triangles And Polygons (WAEC)

Circles

Number Bases

Triangles And Polygons

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Vraag 5 Verslag

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?

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

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

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

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

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

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Lees lesnotitie op Probability (WAEC)

Probability

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Vraag 6 Verslag

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

-9(a + b)

9(a + b)

-9a (a + b) Juist antwoord

9a(a - b)

9b(a + b)

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Lees lesnotitie op Solution Of Linear Equations (WAEC)

Lees lesnotitie op Algebraic Expressions (WAEC)

Lees lesnotitie op Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Algebraic Expressions

Simple Operations On Algebraic Expressions

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Vraag 7 Verslag

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 Juist antwoord

56.57 ms²

160.00 ms²

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Lees lesnotitie op Probability (WAEC)

Lees lesnotitie op Modular Arithmetic (WAEC)

Probability

Modular Arithmetic

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Vraag 8 Verslag

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\(^3\) Juist antwoord

353.4cm\(^3\)

625.0cm\(^3\)

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Lees lesnotitie op Volumes (WAEC)

Lees lesnotitie op Simple Operations On Algebraic Expressions (WAEC)

Volumes

Simple Operations On Algebraic Expressions

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Vraag 9 Verslag

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 Juist antwoord

N1500.00

N960.00

Antwoorddetails

Lees lesnotitie op Modular Arithmetic (WAEC)

Lees lesnotitie op Financial Arithmetic (WAEC)

Modular Arithmetic

Financial Arithmetic

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Vraag 10 Verslag

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 Juist antwoord

x ≤ 3

x < 3

x ≤ -3

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Lees lesnotitie op Solution Of Linear Equations (WAEC)

Lees lesnotitie op Inequalities (JAMB)

Lees lesnotitie op Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Inequalities

Simple Operations On Algebraic Expressions

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Vraag 11 Verslag

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} Juist antwoord

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

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Vraag 12 Verslag

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

-0.866

-0.5

0.0.5 Juist antwoord

0.866

Antwoorddetails

Lees lesnotitie op Sine, Cosine And Tangent Of An Angle (WAEC)

Lees lesnotitie op Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

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Vraag 13 Verslag

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 Juist antwoord

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Lees lesnotitie op Bearings (WAEC)

Lees lesnotitie op Angles (WAEC)

Bearings

Angles

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Vraag 14 Verslag

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 Juist antwoord

120\(\sqrt{3}\)m

240m

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Angles Of Elevation And Depression

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Vraag 15 Verslag

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 Juist antwoord

N35.50

N25.80

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Lees lesnotitie op Sine, Cosine And Tangent Of An Angle (WAEC)

Lees lesnotitie op Positive And Negative Integers, Rational Numbers (WAEC)

Lees lesnotitie op 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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Vraag 16 Verslag

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 Juist antwoord

1.95 × 10^-2

1.95 × 10^-3

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Lees lesnotitie op Number Bases (WAEC)

Lees lesnotitie op Number Bases (JAMB)

Number Bases

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Vraag 17 Verslag

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) Juist antwoord

T = (as – 1)²

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Lees lesnotitie op Algebraic Expressions (WAEC)

Algebraic Expressions

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Vraag 18 Verslag

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 Juist antwoord

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Lees lesnotitie op Euclidean Geometry (JAMB)

Euclidean Geometry

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Vraag 19 Verslag

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

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

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

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

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

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

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Lees lesnotitie op Simple Operations On Algebraic Expressions (WAEC)

Lees lesnotitie op Quadratic Equations (WAEC)

Simple Operations On Algebraic Expressions

Quadratic Equations

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Vraag 20 Verslag

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 Juist antwoord

8x² + 12x + 3 = 0

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Quadratic Equations

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Vraag 21 Verslag

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

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

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

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

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

\(\sqrt{3}\)

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Lees lesnotitie op Sine, Cosine And Tangent Of An Angle (WAEC)

Sine, Cosine And Tangent Of An Angle

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Vraag 22 Verslag

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

- 3x ÷ (x² - 1)

- x ÷ (x² -1) Juist antwoord

x ÷ (x² - 1)

(x + 1) ÷ (x² - 1)

(x + 4) ÷ (x² - 1)

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Lees lesnotitie op Algebraic Fractions (WAEC)

Algebraic Fractions

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Vraag 23 Verslag

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?

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

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

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

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

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

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Lees lesnotitie op Surds (radicals) (WAEC)

Probability

Surds (radicals)

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Vraag 24 Verslag

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 Juist antwoord

2.45

3.85

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Lees lesnotitie op Statistics (WAEC)

Statistics

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Vraag 25 Verslag

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 Juist antwoord

3.9 × 10^-5m³

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Vraag 26 Verslag

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 Juist antwoord

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

1 years

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

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Lees lesnotitie op Fractions, Decimals And Approximations (WAEC)

Fractions, Decimals And Approximations

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Vraag 27 Verslag

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 Juist antwoord

27cm

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Vraag 28 Verslag

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?

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

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

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

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

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

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Lees lesnotitie op Surds (radicals) (WAEC)

Surds (radicals)

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Vraag 29 Verslag

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