NECO SSCE - General Mathematics - 2004…

Ajụjụ 1 Ripọtì

A bag Contains 2 red, 3 blue and 4 green identical balls. If two balls are picked at random one after the other without replacement, what is the probability that both are green?

\(\frac{1}{6}\) Azịza ziri ezi

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

\(\frac{16}{18}\)

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

\(\frac{4}{9}\)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Probability (WAEC)

Gụọ akwụkwọ nkuzi na Surds (radicals) (WAEC)

Probability

Surds (radicals)

Lee Azịza

Ajụjụ 2 Ripọtì

A car travels at an average speed of 75km/h. Find its speed in metres per second.

270m/s

208m/s

27.0m/s

20.8m/s Azịza ziri ezi

2.08m/s

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Lengths And Perimeters (WAEC)

Gụọ akwụkwọ nkuzi na Areas (WAEC)

Lengths And Perimeters

Areas

Lee Azịza

Ajụjụ 3 Ripọtì

Solve the equation: \(\frac{3}{[2(x - 2)]} - \frac{2}{[3(2 - x)]} = 0\)

2 Azịza ziri ezi

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

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

-3

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Gụọ akwụkwọ nkuzi na Algebraic Fractions (WAEC)

Gụọ akwụkwọ nkuzi na Fractions, Decimals, Approximations And Percentage (JAMB)

Solution Of Linear Equations

Algebraic Fractions

Fractions, Decimals, Approximations And Percentage

Lee Azịza

Ajụjụ 4 Ripọtì

The nth term of a sequence is given as 4 x 3(3 - n). Calculate the third term.

4 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sequence And Series (WAEC)

Sequence And Series

Lee Azịza

Ajụjụ 5 Ripọtì

The expression 4x² - 4 has the following as its factors EXCEPT

x - 1

x + 1

x² -1

4x + 1 Azịza ziri ezi

4x - 4

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Algebraic Expressions (WAEC)

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Algebraic Expressions

Quadratic Equations

Lee Azịza

Ajụjụ 6 Ripọtì

If log₁₀² = 0.3010 and log₁₀³ = 0.4771, simplify: (Log₁₀⁸-log₉²) ÷ (Log₁₀⁹ - log₁₀²)

0.0784

-4

-0.0784 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Logarithms (WAEC)

Logarithms

Lee Azịza

Ajụjụ 7 Ripọtì

Evaluate ut - \(\frac{1}{2}\)ft² when t = 5, u = -20 and f = 10

225

-75

-125

-225 Azịza ziri ezi

Akọwa Nkọwa

Lee Azịza

Ajụjụ 8 Ripọtì

If the mean of the following set of data, 2, 3,3,3, 2,4 4 and 3 is divided by its mode, the result is:

1 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Linear Inequalities (WAEC)

Gụọ akwụkwọ nkuzi na Statistics (WAEC)

Gụọ akwụkwọ nkuzi na Progression (JAMB)

Linear Inequalities

Statistics

Progression

Lee Azịza

Ajụjụ 9 Ripọtì

Find x if (x - 2)² = 1\(\frac{7}{9}\)

\(\frac{2}{3}\) or \(\frac{2}{7}\)

3\(\frac{1}{3}\) or \(\frac{2}{3}\) Azịza ziri ezi

3\(\frac{7}{9}\) or \(\frac{2}{7}\)

3\(\frac{1}{3}\) or \(\frac{7}{9}\)

\(\frac{3}{7}\) or \(\frac{2}{9}\)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Quadratic Equations

Lee Azịza

Ajụjụ 10 Ripọtì

Evaluate (Log₁₃ - log₅) ÷ X(log₅-log₁₃) without using tables

–x

X-1

–X^-1 Azịza ziri ezi

-1

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Logarithms (WAEC)

Logarithms

Lee Azịza

Ajụjụ 11 Ripọtì

Calculate (0.05 × 0.025) ÷ (4.25 × 3.35) and express your answer in standard form

8.7796 × 10⁵

8.7796 × 10⁴

8.7796 × 10³

8.7796 × 10^-3

8.7796 × 10^-5 Azịza ziri ezi

Akọwa Nkọwa

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

Fractions, Decimals And Approximations

Lee Azịza

Ajụjụ 12 Ripọtì

Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

10001\(_{two}\)

11001\(_{two}\)

110001\(_{two}\)

11010\(_{two}\) Azịza ziri ezi

11100\(_{two}\)

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Number Bases (WAEC)

Gụọ akwụkwọ nkuzi na Number Bases (JAMB)

Number Bases

Lee Azịza

Ajụjụ 13 Ripọtì

The angle subtended by a diameter of a circle at the circumference is a/an

acute angle

obtuse angle

reflex angle

right angle Azịza ziri ezi

supplementary angle

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Circles (WAEC)

Circles

Lee Azịza

Ajụjụ 14 Ripọtì

The roots of a quadratic equation in x, are -m and 2n. Fine equation.

x² - x(2n-m) – 2mn = 0 Azịza ziri ezi

x² + x(2n - m) - 2mn = 0

x² + x(m - 2n) + 2mn = 0

X² + x (m + 2n ) + 2mn = 0

x² - x (m - 2n) - 2mn = 0

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Differentiation (JAMB)

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Differentiation

Quadratic Equations

Lee Azịza

Ajụjụ 15 Ripọtì

If y varies inversely as x², how does x vary with y?

x varies inversely as y²

x varies inversely as \(\sqrt{y}\) Azịza ziri ezi

x varies directly as y²

x varies directly as \(\sqrt{y}\)

x varies directly as y

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Variation (JAMB)

Variation

Lee Azịza

Ajụjụ 16 Ripọtì

Find the area of a triangle ABC such that a = 16cm, b = 14cm, c = 12cm, leave your answer in surd form

5\(\sqrt{15}\)cm²

7\(\sqrt{15}\)cm²

21\(\sqrt{3}\)cm²

21\(\sqrt{5}\)cm²

21\(\sqrt{15}\)cm² Azịza ziri ezi

Akọwa Nkọwa

Lee Azịza

Ajụjụ 17 Ripọtì

Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils?

10.5yrs.

11yrs.

11.5 yrs. Azịza ziri ezi

12yrs.

12.5yrs.

Akọwa Nkọwa

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

Gụọ akwụkwọ nkuzi na Surds (radicals) (WAEC)

Gụọ akwụkwọ nkuzi na Financial Arithmetic (WAEC)

Fractions, Decimals And Approximations

Surds (radicals)

Financial Arithmetic

Lee Azịza

Ajụjụ 18 Ripọtì

Simplify (216\(\frac{1}{3}\))^-2

\(\frac{1}{36}\) Azịza ziri ezi

\(\frac{1}{18}\)

\(\frac{1}{13}\)

\(\frac{1}{6}\)

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

Akọwa Nkọwa

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

Gụọ akwụkwọ nkuzi na Number Bases (WAEC)

Fractions, Decimals And Approximations

Number Bases

Lee Azịza

Ajụjụ 19 Ripọtì

Two angles of a triangle are 450 each and its longest side is 12cm. Find the length of one of the other sides

12cm

9\(\sqrt{2}\)cm

6\(\sqrt{2}\)cm Azịza ziri ezi

6cm

3\(\sqrt{2}\)cm

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Angles (WAEC)

Gụọ akwụkwọ nkuzi na Triangles And Polygons (WAEC)

Angles

Triangles And Polygons

Lee Azịza

Ajụjụ 20 Ripọtì

What must be added to b²-3ab to make it a perfect square?

-3a

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

\(\frac{9}{4}\)

\(\frac{9a}{4}\)

\(\frac{9^2}{4}\) Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Number Bases (WAEC)

Number Bases

Lee Azịza

Ajụjụ 21 Ripọtì

Divide the LCM of 15abc and 20a\(^2\)bc by their HCF

10a

12a Azịza ziri ezi

5abc

12a²bc

60a²bc

Akọwa Nkọwa

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

Gụọ akwụkwọ nkuzi na Number Bases (WAEC)

Gụọ akwụkwọ nkuzi na Modular Arithmetic (WAEC)

Sine, Cosine And Tangent Of An Angle

Number Bases

Modular Arithmetic

Lee Azịza

Ajụjụ 22 Ripọtì

If cos x = 4/5, 0° \( \leq \) x \( \leq \) 90°, find the value of (1 + tan x)/(1 - tan x)

7 Azịza ziri ezi

\(\frac{7}{16}\)

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

Akọwa Nkọwa

Lee Azịza

Ajụjụ 23 Ripọtì

The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?

64 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sequence And Series (WAEC)

Sequence And Series

Lee Azịza

Ajụjụ 24 Ripọtì

Find the value of t such that the expression \(\frac{1}{t}\) + \(\frac{4}{3}\) - \(\frac{5}{6t}\) + 1 is equal to zero

\(\frac{1}{6}\)

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

- \(\frac{3}{2}\) Azịza ziri ezi

\(\frac{7}{6}\)

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

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Number Bases (WAEC)

Number Bases

Lee Azịza

Ajụjụ 25 Ripọtì

The bearing of Y from X is 0850. What is the bearing of X from Y?

005°

095°

185°

265° Azịza ziri ezi

275°

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Bearings (WAEC)

Bearings

Lee Azịza

Ajụjụ 26 Ripọtì

A sales boy gave a change of N75.00 to a buyer instead of N80.00, calculate his percentage error, correct to one decimal place?

6.00%

6.20%

6.30% Azịza ziri ezi

6.60%

6.70%

Akọwa Nkọwa

Lee Azịza

Ajụjụ 27 Ripọtì

If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms?

6 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sequence And Series (WAEC)

Sequence And Series

Lee Azịza

Ajụjụ 28 Ripọtì

The 4th term of a G.P is 3 and its first term is 81. What is its common ratio?

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

\(\frac{1}{3}\) Azịza ziri ezi

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

-3

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Sequence And Series (WAEC)

Sequence And Series

Lee Azịza

Ajụjụ 29 Ripọtì

One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon

6 Azịza ziri ezi

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Triangles And Polygons (WAEC)

Triangles And Polygons

Lee Azịza

Ajụjụ 30 Ripọtì

Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (π = \(\frac{22}{5}\))

12.8cm²

25.7cm²

77.0cm²

154.0cm² Azịza ziri ezi

179.7cm²

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Volumes (WAEC)

Volumes

Lee Azịza

Ajụjụ 31 Ripọtì

The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus

68cm Azịza ziri ezi

72cm

80cm

88cm

92cm

Akọwa Nkọwa

Lee Azịza

Ajụjụ 32 Ripọtì

Express the quotient of 0.422 and 0.004 in standard form

1.055 × 10² Azịza ziri ezi

10.55 × 10¹

105 × 10⁰

10.55 × 10^-1

1.055 × 10^-2

Akọwa Nkọwa

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

Gụọ akwụkwọ nkuzi na Modular Arithmetic (WAEC)

Fractions, Decimals And Approximations

Modular Arithmetic

Lee Azịza

Ajụjụ 33 Ripọtì

Express the product of 0.007 and 0.057 to two significant figures

0.0004 Azịza ziri ezi

0.00039

0.004

0.0039

0.04

Akọwa Nkọwa

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

Gụọ akwụkwọ nkuzi na Modular Arithmetic (WAEC)

Fractions, Decimals And Approximations

Modular Arithmetic

Lee Azịza

Ajụjụ 34 Ripọtì

A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man

50° 54′

35° 06′

30° 00′

290 90′

29° 54′ Azịza ziri ezi

Akọwa Nkọwa

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

Angles Of Elevation And Depression

Lee Azịza

Ajụjụ 35 Ripọtì

A bag contains p dozens of bananas and 3q of these proved to be bad. If I buy one third of the goods ones, how many do I get?

P -3q

\(\frac{1}{3}\) (p - 3q)

4p - q Azịza ziri ezi

12p - 3q

Akọwa Nkọwa

Gụọ akwụkwọ nkuzi na Solution Of Linear Equations (WAEC)

Gụọ akwụkwọ nkuzi na Quadratic Equations (WAEC)

Solution Of Linear Equations

Quadratic Equations

Lee Azịza






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NECO SSCE - General Mathematics - 2004 (Objective)