NECO SSCE - General Mathematics - 2002…

Ajụjụ 1 Ripọtì

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

-0.866

-0.5

0.0.5 Azịza ziri ezi

0.866

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sine, Cosine And Tangent Of An Angle (WAEC)

Gụọ akwụkwọ nkuzi na Trigonometry (JAMB)

Sine, Cosine And Tangent Of An Angle

Trigonometry

Lee Azịza

Ajụjụ 2 Ripọtì

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 Azịza ziri ezi

120\(\sqrt{3}\)m

240m

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

Lee Azịza

Ajụjụ 3 Ripọtì

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

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

\(\frac{25}{36}\) Azịza ziri ezi

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

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

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Simple Operations On Algebraic Expressions (WAEC)

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Simple Operations On Algebraic Expressions

Quadratic Equations

Lee Azịza

Ajụjụ 4 Ripọtì

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?

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

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

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

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

\(\frac{81}{125}\) Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Probability (WAEC)

Probability

Lee Azịza

Ajụjụ 5 Ripọtì

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 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Bearings (WAEC)

Gụọ akwụkwọ nkuzi na Angles (WAEC)

Bearings

Angles

Lee Azịza

Ajụjụ 6 Ripọtì

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\(^3\) Azịza ziri ezi

353.4cm\(^3\)

625.0cm\(^3\)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Volumes (WAEC)

Gụọ akwụkwọ nkuzi na Simple Operations On Algebraic Expressions (WAEC)

Volumes

Simple Operations On Algebraic Expressions

Lee Azịza

Ajụjụ 7 Ripọtì

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?

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

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

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

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

\(\frac{9}{13}\) Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Surds (radicals) (WAEC)

Surds (radicals)

Lee Azịza

Ajụjụ 8 Ripọtì

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 Azịza ziri ezi

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

1 years

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Fractions, Decimals And Approximations (WAEC)

Fractions, Decimals And Approximations

Lee Azịza

Ajụjụ 9 Ripọtì

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 Azịza ziri ezi

8x² + 12x + 3 = 0

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Quadratic Equations

Lee Azịza

Ajụjụ 10 Ripọtì

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 Azịza ziri ezi

2.45

3.85

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Statistics (WAEC)

Statistics

Lee Azịza

Ajụjụ 11 Ripọtì

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 Azịza ziri ezi

26cm

30cm

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Circles (WAEC)

Gụọ akwụkwọ nkuzi na Number Bases (JAMB)

Gụọ akwụkwọ nkuzi na Triangles And Polygons (WAEC)

Circles

Number Bases

Triangles And Polygons

Lee Azịza

Ajụjụ 12 Ripọtì

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) Azịza ziri ezi

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Algebraic Expressions (WAEC)

Algebraic Expressions

Lee Azịza

Ajụjụ 13 Ripọtì

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 Azịza ziri ezi

N1500.00

N960.00

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Modular Arithmetic (WAEC)

Gụọ akwụkwọ nkuzi na Financial Arithmetic (WAEC)

Modular Arithmetic

Financial Arithmetic

Lee Azịza

Ajụjụ 14 Ripọtì

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 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Euclidean Geometry (JAMB)

Euclidean Geometry

Lee Azịza

Ajụjụ 15 Ripọtì

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\(^2\) Azịza ziri ezi

22cm\(^2\)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Volumes (WAEC)

Gụọ akwụkwọ nkuzi na Areas (WAEC)

Volumes

Areas

Lee Azịza

Ajụjụ 16 Ripọtì

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 Azịza ziri ezi

1.95 × 10^-2

1.95 × 10^-3

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Number Bases (WAEC)

Gụọ akwụkwọ nkuzi na Number Bases (JAMB)

Number Bases

Lee Azịza

Ajụjụ 17 Ripọtì

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 Azịza ziri ezi

3.9 × 10^-5m³

Akọwa Nkọwa

Lee Azịza

Ajụjụ 18 Ripọtì

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

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

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

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

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

\(\frac{34}{25}\) Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Lee Azịza

Ajụjụ 19 Ripọtì

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 Azịza ziri ezi

x ≤ 3

x < 3

x ≤ -3

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Gụọ akwụkwọ nkuzi na Inequalities (JAMB)

Gụọ akwụkwọ nkuzi na Simple Operations On Algebraic Expressions (WAEC)

Solution Of Linear Equations

Inequalities

Simple Operations On Algebraic Expressions

Lee Azịza

Ajụjụ 20 Ripọtì

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 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sine, Cosine And Tangent Of An Angle (WAEC)

Gụọ akwụkwọ nkuzi na Variation (JAMB)

Gụọ akwụkwọ nkuzi na Financial Arithmetic (WAEC)

Sine, Cosine And Tangent Of An Angle

Variation

Financial Arithmetic

Lee Azịza

Ajụjụ 21 Ripọtì

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 Azịza ziri ezi

N35.50

N25.80

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sine, Cosine And Tangent Of An Angle (WAEC)

Gụọ akwụkwọ nkuzi na Positive And Negative Integers, Rational Numbers (WAEC)

Gụọ akwụkwọ nkuzi na Ratio, Proportions And Rates (WAEC)

Sine, Cosine And Tangent Of An Angle

Positive And Negative Integers, Rational Numbers

Ratio, Proportions And Rates

Lee Azịza

Ajụjụ 22 Ripọtì

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

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

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

\(\frac{1}{2}\) Azịza ziri ezi

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

\(\sqrt{3}\)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sine, Cosine And Tangent Of An Angle (WAEC)

Sine, Cosine And Tangent Of An Angle

Lee Azịza

Ajụjụ 23 Ripọtì

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 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Bearings (WAEC)

Gụọ akwụkwọ nkuzi na Angles Of Elevation And Depression (WAEC)

Bearings

Angles Of Elevation And Depression

Lee Azịza

Ajụjụ 24 Ripọtì

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

312cm\(^2\) Azịza ziri ezi

96cm\(^2\)

36cm\(^2\)

24cm\(^2\)

12cm\(^2\)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Volumes (WAEC)

Gụọ akwụkwọ nkuzi na Areas (WAEC)

Volumes

Areas

Lee Azịza

Ajụjụ 25 Ripọtì

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) Azịza ziri ezi

T = (as – 1)²

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Algebraic Expressions (WAEC)

Algebraic Expressions

Lee Azịza

Ajụjụ 26 Ripọtì

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 Azịza ziri ezi

56.57 ms²

160.00 ms²

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Probability (WAEC)

Gụọ akwụkwọ nkuzi na Modular Arithmetic (WAEC)

Probability

Modular Arithmetic

Lee Azịza

Ajụjụ 27 Ripọtì

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} Azịza ziri ezi

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

Akọwa Nkọwa

Lee Azịza

Ajụjụ 28 Ripọtì

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 Azịza ziri ezi

1.55m

1.56m

Akọwa Nkọwa

Lee Azịza

Ajụjụ 29 Ripọtì

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?

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

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

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

\(\frac{1}{4}\) Azịza ziri ezi

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Probability (WAEC)

Gụọ akwụkwọ nkuzi na Surds (radicals) (WAEC)

Probability

Surds (radicals)

Lee Azịza

Ajụjụ 30 Ripọtì

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 Azịza ziri ezi

27cm

Akọwa Nkọwa

Lee Azịza

Ajụjụ 31 Ripọtì

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

-9(a + b)

9(a + b)

-9a (a + b) Azịza ziri ezi