SYLLABUS

Cambridge IGCSE

Mathematics

0580

Part 2 For examination in June and November 2017 and 2018

SALWA KAMEL

Operation Management Master in Education

Qualification in Mathematics

From Cambridge University

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Lesson (1.5)

Use the language and notation of

1- simple vulgar and decimal fractions

2- percentages in appropriate contexts.

3- Recognize equivalence and convert between these

forms.

4- Includes the conversion of recurring decimals to

fractions, e.g. change 0.7

Which fraction is proper, vulgar fraction and mixed

fraction

a) 7/8 b) 2/3 c) 6 ⅜

A) What is a decimal fractions? 2. 5

B) 1.23 means?

C) Change the fraction into decimal fraction

5/6? 1/3? 3/11?

D) change from decimal to fraction 0.49? , 0.9?

5) change from fraction to % 2/3? , 5/11?

6) change from decimal to % 0.45? , 0.5?

7) change from % to fraction and decimal:

36% 9%?

Arrange in order size (the smallest first)

a) 1/ 2 , 0.25 , 30%

b) 0.06 , 0.166, 0.66

c) ¾ , 0.166 , 0.66

4- Includes the conversion of recurring decimals

to fractions, e.g. change 0.7

Lesson (1.6)

Order quantities by magnitude and

demonstrate familiarity with the symbols

=, ≠, ≥, ≤, >, <.

When comparing quantities , all should be of the same unit.

a) Arrange in increasing order 8/17 , √1/4 , 0.48

b) Compare between 2/3 , 7/12

c) Arrange starting with smallest: 7/11, 5/8, ½, 11/16, ¾ d) Compare the longest distance first 1.95m, 2.5m, 2.03m, 1.91m, 0.69m, 2.17m

Lesson (1.6)

Order quantities by magnitude and

demonstrate familiarity with the symbols

=, ≠, ≥, ≤, >, <.

When comparing quantities , all should be

of the same unit.

a) Arrange in increasing order 8/17 , √1/4 , 0.48

b) Compare between 2/3 , 7/12

Lesson (1.7)

1- Understand the meaning and rules of indices.

2- Use the standard form A × 10n where n is a positive or negative integer,

and (1≤ A < 10). 3- Convert numbers into and out of standard form.

4- Calculate with values in standard form.

Evaluate:

a) 7-2

b) 1001/2

c) 8-2/3

d) 51/2

Write in standard form the following: 3100 7200

Find: (2.4 x 104) X (5 x 105) = Arrange in descending order 3.6x10-3 , 5.2x10-5, 1x10-2, 8.35x10-2

Lesson (1.8)

Use the four rules for calculations with

1- whole numbers, 2- decimals and vulgar (and mixed) fractions,

3- including correct ordering of operations and use of brackets

Order of operation

B D M A S

Lesson (1.9)

Make Estimates of numbers, quantities and

lengths, give approximations to specified numbers of significant figures and decimal

places and Round off answers to reasonable

accuracy in the context of a given problem.

Round off

Write the number 23643 nearest to 10, 100, 1000

33.5602 nearest to 1d.p, 2d.p, 3d.p

Round off

Round off the following:

1. 528 g to nearest 10 g

2. 31.75 cm to nearest cm

3. 1.26 k.g to nearest .01 kg

4. 5.01 to nearest tenth

Significant Figures

Write the number 3529 nearest to

1 S.F. =

2 S.F.= 3 S.F.=

30.06052 correct to

1 S.F. =

2 S.F.= 3 S.F.=

Significant Figures

Notice Zero:

403 40.7

0.000407

0.408

0.003824 correct to 1 S.F =

3.0057 correct 4 S.F. =

Estimates

By writing each number in the calculation correct to 2

S.F. estimate the value of:

478 X 49.82

0.1248

Lesson (1.10)

Give appropriate upper and lower bounds for

data given to a specified accuracy. Obtain appropriate upper and lower bounds to solutions of simple problems given data to

a specified accuracy.

Limits of Accuracy

If the length of square is 4 cm nearest to meter.

Find the limit of this length?

If L = 4.3 m to nearest 0.1 m

L = 4.30 m to nearest cm

Height = 240 m to nearest 10 m

Radius = 65 cm to nearest 5 cm

Limits of Accuracy

Given diameter of a circle equal 8.6 cm to nearest

0.1cm. Find the limits of accuracy of the radius.

Given a rectangle measured to the nearest meter as

length 8 cm and width 5 cm then the limits of the length

L is 7.5 ≤ L < 8.5 and Width 4.5 ≤ L < 5.5

Find the limits of its perimeter P and limits of its area A?

Limits of Accuracy

A girl’s height is given as 162 cm to the nearest cm.

1- work out the lower and upper bounds within her

height lie?

2- Represent this range of numbers on number line.

3- If the girl’s height is x cm, express this range as an

inequality?

Upper and Lower bounds Rules

Mulitip.

Upper= Upper x Upper

Lower = Lower x Lower

If 7 ≤ x < 8

5 ≤ Y < 4

Then upper x . y = lower x . Y =

Division:

Lower = Lower/upper

Upper = upper / lower

Upper and Lower bounds Rules

Calculate the upper and lower bound to 33.5/22.0 given

that each of numbers is accurate to 1 d.p?

Upper and Lower bounds Rules

Add:

L = L + L

U = U + U

Sub.

L = L – U

U = U - L

Upper and Lower bounds Rules

Absolute error of measurement:

It is the difference between the measured value of

quantity and its true value.

The measurements of a rectangle are given as 4.6 cm

and 2.8cm, correct to the nearest 0.1cm. Find the

greatest and least possible values of the area of the

rectangle and the largest possible error in area?

Upper and Lower bounds Rules

Absolute error of measurement:

H.W

The measurement of rectangle are given as 5.6 cm

and 4.8 cm, correct to the nearest tenth cm. find the

greatest and the smallest possible areas of the

rectangle?

Lesson (1.13)

Use a calculator efficiently.

Apply appropriate checks of accuracy.