NECO SSCE - General Mathematics - 2002

Tambaya 1 Rahoto

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

Duba Amsa

Tambaya 2 Rahoto

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

Circles

Number Bases

Triangles And Polygons

Duba Amsa

Tambaya 3 Rahoto

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

Duba Amsa

Tambaya 4 Rahoto

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

Duba Amsa

Tambaya 5 Rahoto

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

Duba Amsa

Tambaya 6 Rahoto

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

Duba Amsa

Tambaya 7 Rahoto

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

Duba Amsa

Tambaya 8 Rahoto

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

Duba Amsa

Tambaya 9 Rahoto

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)

Algebraic Fractions

Duba Amsa

Tambaya 10 Rahoto

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

Duba Amsa

Tambaya 11 Rahoto

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

Duba Amsa

Tambaya 12 Rahoto

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

Duba Amsa

Tambaya 13 Rahoto

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

Duba Amsa

Tambaya 14 Rahoto

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

Duba Amsa

Tambaya 15 Rahoto

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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Tambaya 16 Rahoto

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

Duba Amsa

Tambaya 17 Rahoto

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

Duba Amsa

Tambaya 18 Rahoto

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

Duba Amsa

Tambaya 19 Rahoto

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}

Duba Amsa

Tambaya 20 Rahoto

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

Duba Amsa

Tambaya 21 Rahoto

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

Duba Amsa

Tambaya 22 Rahoto

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

Duba Amsa

Tambaya 23 Rahoto

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

Duba Amsa

Tambaya 24 Rahoto

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)

Duba Amsa

Tambaya 25 Rahoto

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

Duba Amsa

Tambaya 26 Rahoto

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

Duba Amsa

Tambaya 27 Rahoto

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)

Duba Amsa

Tambaya 28 Rahoto

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