1. Compiled by Mr. Lafferty Maths Dept.
Fractions
Egyptian Fractions
Using a to Find Fractions
Percentages
Using a to Finding a Percentage
Percentage Increase and Decrease
Rates and Working out Rates
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

2. Compiled by Mr. Lafferty Maths Dept.
Starter Questions S4
2cm
3cm
10cm
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

3. Compiled by Mr. Lafferty Maths Dept.
Egyptian Fractions S4
Learning Intention
Success Criteria
To understand what an Egyptian Fraction is and how to solve problems.
To understand the term Egyptian Fraction.
Be able to solve
Egyptian Fraction problems .
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

4. Compiled by Mr. Lafferty Maths Dept.
How long ago is this?
Egyptian Fractions S4
Egyptian Fractions were invented in 3000 BC
A Egyptian Fraction consists of 2 parts.
Top number ALWAYS 1 is called the numerator 1 5
Bottom number is called the denominator
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

5. Egyptian Fractions www.mathsrevision.com
Stored in the British Museum in London
Egyptian Fractions S4
Egyptian Fractions were invented in 3000 BC
It was a 25 year old Scotsman, Henry Rhind who brought the first evidence of Egyptian Fractions to Britain.
He bought at a market in Luxor, Egypt, in 1858 papyrus scrolls that contained evidence of fractions. These are called the
Rhind Mathematical Papyrus
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

6. Compiled by Mr. Lafferty Maths Dept.
Egyptian Fractions S4
Write down all the Egyptian Fractions you can see below:
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

7. Egyptian Fractions of 120 of 120 x 120 x 120 www.mathsrevision.com = =
‘of’ means ‘x’
Egyptian Fractions S4
How to calculate a fraction of a quantity.
of 120
of 120
x 120 =
x 120 =
Simply divide the quantity by the bottom number 60 30
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

8. Compiled by Mr. Lafferty Maths Dept.
Egyptian Fractions S4
Try these 75 70 40
5.06 90
10.1
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

9. Compiled by Mr. Lafferty Maths Dept.
Egyptian Fractions S4
Now try Ex 2.1
Ch5 Page 72
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

10. Compiled by Mr. Lafferty Maths Dept.
Starter Questions S4
20cm
2cm
5cm
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

11. Compiled by Mr. Lafferty Maths Dept.
Calculator Fractions S4
Q. Find of £1800
Calculator Keys 1 8 6 = 30
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

12. Fractions of a quantity
Learning Intention
Success Criteria
To show how to use a calculator to calculate a fraction of a quantity.
To know the 2 step for finding a fraction of a quantity.
Be able to calculate the fraction of a quantity.
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

13. Compiled by Mr. Lafferty Maths Dept.
Calculator Fractions S4
Q. Find of £142.50
Calculator Keys 1 4 2 . 5 1 9 =
7.5
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

14. Compiled by Mr. Lafferty Maths Dept.
Calculator Fractions S4
Q. Of 3500 people surveyed believed that Globe Warming was not a serious problem.
How many people believed it was not a problem.
Calculator Keys 3 5 2 5 =
140
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

15. Compiled by Mr. Lafferty Maths Dept.
Calculator Fractions S4
Now try Ex 2.2
Ch5 Page 74
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

16. Compiled by Mr. Lafferty Maths Dept.
Starter Questions S4
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

17. Compiled by Mr. Lafferty Maths Dept.
Percentages S4
Learning Intention
Success Criteria
To explain what the term percentage means and how it is connected to Egyptian Fractions.
To understand the term percentage.
Understand connection between percentage, and Egyptian Fractions.
3. Find a percentage of a quantity.
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

18. Percentages www.mathsrevision.com 31 out of a 100
When a shape is divided into
100 ‘bits’ each bit is called
“ 1 percent” = 1%
31 % means
7 % means
7 out of a 100
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

19. Percentages The basic Percentages (%)
are connected with the Egyptian Fractions.
You have 1 minute to write down
the basic percentages and there
equivalent fraction
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

20. Compiled by Mr. Lafferty Maths Dept.
Percentages S4
Answers
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

21. Compiled by Mr. Lafferty Maths Dept.
Percentages S4
Q. Change these percentages to fractions out of a 100
Q. Change these fractions to percentages
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

22. Compiled by Mr. Lafferty Maths Dept.
Percentages S4
Q. Change these percentages to decimals.
Q. Change these decimals to percentages
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

23. Compiled by Mr. Lafferty Maths Dept.
Percentages S4
Q. Find 50% of 70 35
Q. Find 25% of 180 45
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

24. Compiled by Mr. Lafferty Maths Dept.
Percentages S4
Now try Ex 3.1
Ch5 Page 76
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

25. Compiled by Mr. Lafferty Maths Dept.
Starter Questions S4
6cm
1cm
3cm
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

26. Percentages (Calculator)
Learning Intention
Success Criteria
To understand how to calculate a percentage of a quantity using a calculator.
Use a calculator to find a percentage of a quantity.
Show all working.
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

27. Percentages Q. Find 17% of £450 www.mathsrevision.com = £76.50
Remember money is always 2 decimal places
Percentages S4
Q. Find 17% of £450
= £76.50
Calculator Keys 4 5 1 x 1 7 =
76.5
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

28. Percentages Q. Find 4% of £70 www.mathsrevision.com = £2.80
Remember money is always 2 decimal places
Percentages S4
Q. Find 4% of £70
= £2.80
Calculator Keys 7 1 x 4 =
2.8
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

29. Compiled by Mr. Lafferty Maths Dept.
Calculator Fractions S4
Q. 73% of 3600 people in a survey have brown eyes.
How many people have brown eyes.
Calculator Keys 3 6 5 1 x 7 3 =
2628
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

30. Compiled by Mr. Lafferty Maths Dept.
Percentages S4
Now try Ex 3.2
Ch5 Page 78
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

31. Compiled by Mr. Lafferty Maths Dept.
Starter Questions S4
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

32. Percentage Increase / Decrease
Learning Intention
Success Criteria
1. To explain some simple increases and decreases in percentages using shop prices.
Understand terms increase /decrease for percentages.
Calculate simple increases / decreases in percentages.
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

33. Percentage Increase / Decrease
Example 1
In a sale the cost of a jumper is reduced by 10%.
What is the sale price of the jumper.
Original Price
£35
Sale Price =
Created by Mr. Lafferty
Maths Dept

34. Percentage Increase / Decrease
Example 2
The total hours of sunshine in June was 260.
The total for July was 5% higher than June..
What is the total hours of sunshine in July.
July Total Hours =
Created by Mr. Lafferty
Maths Dept

35. Compiled by Mr. Lafferty Maths Dept.
Simple Percentages S4
Now try Exercise 4.1
Ch5 Page 80
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

36. Compiled by Mr. Lafferty Maths Dept.
Starter Questions S4
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

37. Compiled by Mr. Lafferty Maths Dept.
Rates S4
Learning Intention
Success Criteria
1. To explain some more basic percentages.
To know the basic percentages.
Calculate basic percentage without a calculator.
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.

38. Created by Mr. Lafferty Maths Dept.
Rates
Example 1 :
Mick the mechanic hourly rate of pay is £6.50.
Last week he worked 5 hours. What is his basic pay?
Pay is =
£6.50 x 5 = £32.50
20-Apr-17
Created by Mr. Lafferty Maths Dept.

39. Created by Mr. Lafferty Maths Dept.
Rates
Example 2 :
Jim is a joiner his hourly rate of pay is £10.50.
He works 40 hours a week. What is his basic pay?
Pay is =
£10.50 x 40 = £420.00
20-Apr-17
Created by Mr. Lafferty Maths Dept.

40. Created by Mr. Lafferty Maths Dept.
Rates
Example 3 :
Wendy can type 300 words in 6 minutes.
How many words does she type per minute.
Words per minute
300 ÷ 6 = 50 words
20-Apr-17
Created by Mr. Lafferty Maths Dept.

41. Created by Mr. Lafferty Maths Dept.
Rates
Example 4 :
Six bags of crisps were bought for £2.10.
How much for 1 bag of crisps.
1 bag =
£2.10 ÷ 6 = £0.35
20-Apr-17
Created by Mr. Lafferty Maths Dept.

42. Compiled by Mr. Lafferty Maths Dept.
Rates S4
Now try Ex 5.1 & 5.2
Ch5 Page 82
20-Apr-17
Compiled by Mr. Lafferty Maths Dept.