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REVISION

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TASK 9

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HOW TO USE THESE ONLINE NOTES?• There are 4 sections that will be covered in fractions, we do 4 lessons of one hour each

and one lesson of 30 min in a week. That gives you a total of 4.5 hours to complete this section of work for the week.

• Please assign 1 hour per section excluding the revision examples. Use the 30 min or more if you want, to do the revision exercises.

• You will ONLY get SOLUTIONS once I see that you have completed all the exercises!!!!! In the mean time you can use a calculator at home to check your final answers.

• If you are struggling refer to your school textbooks for extra information or various websites such as:

• www.mathsisfun.com

GOOD LUCK AND ENJOY!

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FOR TERM 2 WE HAVE COVERED:• Task 1: Fractions• Task 2: Decimal fractions Part 1• Task 3: Decimal Fractions Part 2• Task 4: Functions• Task 5: Area and Perimeter of Rectangles• Task 6: Area and Perimeter of Triangles• Task 7: Surface area and Volume• Task 8: Capacity

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TASK 1: FRACTIONS

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COMMON FRACTIONS1. Adding and subtracting fractions2. Tenths, hundredths and thousandths3. Fraction of a fraction4. Division by a fraction

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FRACTIONS EXAMPLE 1:

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FRACTIONS EXAMPLE 2:

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FRACTIONS EXAMPLE 3:

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FRACTIONS EXAMPLE 4:

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TA S K 2 : D E C I M A L F R A C T I O N S PA R T 1

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IN THIS SECTION YOU WILL LEARN:1. Ordering and comparing decimal fractions2. Counting in decimal fractions3. Rounding off decimal fractions4. Addition/subtraction of decimal fractions by

whole numbers and decimal fractions

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DECIMAL FRACTIONS EXAMPLE 1:Question

Write these numbers in ascending order:

0.7 ; 0.3 ; 0.8 ; 0.2 ; 0.9

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Answer

Ascending order means small to big:0.2 ; 0.3 ; 0.7 ; 0.8 ; 0.9

DECIMAL FRACTIONS EXAMPLE 2:Question

Write down the value of the underlined digit as a decimal fraction:

2.974021

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Answer

0.01 = Hundreds

DECIMAL FRACTIONS EXAMPLE 3:

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DECIMAL FRACTIONS EXAMPLE 4:Question

Round off the following values to the nearest rand:A. R7.99

B. R500.25C. R350.55

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Answer

A. = R8B. = R500C. = R351

DECIMAL FRACTIONS EXAMPLE 5:Question

Add 13.6 and 42.18

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DECIMAL FRACTIONS EXAMPLE 6:Question

Add 1347 and .0005

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DECIMAL FRACTIONS EXAMPLE 7:Question

Subtract 14.69 from 113.06

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TA S K 3 : D E C I M A L F R A C T I O N S PA R T 2

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IN THIS SECTION YOU WILL LEARN:

1. Multiplication of decimal fractions

2. Division of decimal fractions

3. Solving problems in context involving decimal fractions

4. Recognising and using equivalent forms between common fractions, decimal fractions and percentages

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DECIMAL FRACTIONS EXAMPLE 1:Question

Multiply 0.02 by 0.008

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3 digits to the right of 0.008 + 2 digits to the right of 0.02 = 5 digits to the right of

the final answer

DECIMAL FRACTIONS EXAMPLE 7:Question

Subtract 14.69 from 113.06

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DECIMAL FRACTIONS EXAMPLE 2:

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2 digits to the right of 1.02 + 1 digit to the right of 0.3 = 3 digits to the right of

the final answer

TASK 4: FUNCTIONS

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IN THIS SECTION YOU WILL LEARN:1. Determining input, output values and rules for

relationships

2. Determining, interpreting and justifying equivalence in different forms on the same relationship

3. Flow diagrams, tables, formulae, number sentences and verbal representation of relationships

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FUNCTIONS EXAMPLE 1:Question/Answer

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(-1x5)+20=15

(-3x5)+20=5

(-4x5)+20=0

(-5x5)+20=-5

(-2x5)+20=10

FUNCTIONS EXAMPLE 2:

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FUNCTIONS EXAMPLE 2:

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TA S K 6 : A R E A A N D P E R I M E T E R O F T R I A N G L E S

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IN THIS SECTION YOU WILL LEARN:1. Calculating the perimeter of regular and irregular

polygons

2. Using formulae to calculate the area and perimeter of squares, rectangles and triangles

3. Solving problems involving perimeter and area of polygons

4. Using and converting between units of length and area

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PERIMETER OF TRIANGLE EXAMPLE 1:Question

Calculate the perimeter of

Triangle ABC

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Perimeter of triangle ABC = 4.5+4+5 = 13.5cm

AREA OF TRIANGLE EXAMPLE 1:Question

Calculate the area of

Triangle ABC

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TA S K 5 : A R E A A N D P E R I M E T E R O F R E C TA N G L E S

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IN THIS SECTION YOU WILL LEARN:1. Calculating the perimeter of regular and irregular

polygons

2. Using formulae to calculate the area and perimeter of squares, rectangles and triangles

3. Solving problems involving perimeter and area of polygons

4. Using and converting between units of length and area

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PERIMETER OF RECTANGLE EXAMPLE 1:Question

Calculate the perimeter of the rectangle below

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Perimeter of Rectangle = 2(6)+2(4)

= 20cm

AREA OF RECTANGLE EXAMPLE 1:Question

Calculate the area of the

Rectangle below

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TA S K 7 : S U R FA C E A R E A A N D V O L U M E

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IN THIS SECTION YOU WILL LEARN:1. Using formulae to calculate the surface area, volume and capacity

of cubes and rectangular prisms

2. Describing the interrelationship between surface area and volume

3. Solving problems involving surface area, volume and capacity

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VOLUME OF RECTANGULAR PRISM EXAMPLE 1:Question

Calculate the volume of the rectangular prism below

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SURFACE AREA OF RECTANGULAR PRISM EXAMPLE 1:Question

Calculate the surface area of the rectangular prism below

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TASK 8: CAPACIT Y

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IN THIS SECTION YOU WILL LEARN:

1. Using and converting between units of volume

2. Investigating the nets of cubes and rectangular prisms

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CAPACITY EXAMPLE 1:Question

Convert the following value to their required units

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1cm = 10mm 1m = 100cm 1dm = 10cm 1m = 10dm

CAPACITY EXAMPLE 2:

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A decimetre (dm) is equal to10 centimetres (cm) therefore 30 dm = 300 cm and 1500 dm2 = 150000 cm2  

because (1 dm2 = 100cm2) therefore the volume = 300x150000 = 45000000 = 45x106 cm3

The final answer is in exponential notation

PLEASE ATTEMPT THE FOLLOWING PAST PAPER ADAPTED FROM INTUNETUTORING TO

PREPARE FOR NEXT WEEKS TEST

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BIBLIOGRAPHY:Textbooks:Spot On Mathematics Grade 7 Learner's Book : Grade 7: Learner's Book by D. HartJ. Kendall.

Websites:https://www.intunetutoring.co.za/mathematics-exam-papers

https://gallery.mailchimp.com/d5ec4dd1cb8ecb514db482c99/files/5180a395-f4fc-4961-8771-d096a49e87ca/Grade_7_Maths_Exam_November_2016_L_Klemp.pdf

http://www.mathematicshed.com/uploads/1/2/5/7/12572836/decimals.pdf

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THANK YOU!AND STAY SAFE

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