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Percentages National 4 NUM 1. 2 www. mathsrevision. com Conversion between % Fractions and Decimals Percentages using a calculator Percentage rise (Increase) Percentage fall (Decrease) One quantity as a Percentage of another Percentage Profit / Loss Percentage Increase / Decrease 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com National 4 NUM 1. 2 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com National 4 NUM 1. 2 Learning Intention 1. To explain what the term percentage means and how it is connected to fractions and decimals. 15 -Mar-18 Success Criteria 1. To understand the term percentage. 2. Understand connection between percentages, fractions and decimals. Compiled by Mr. Lafferty Maths Dept.

31 out of a Percentages 100 www. mathsrevision. com National 4 NUM 1. 2 It is common to express fractions using a denominator of a 100 means 31 % means 7 % 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept. 7 out of a 100

Percentages National 4 NUM 1. 2 www. mathsrevision. com Q. Write down the following as a fraction and a decimal. 27% 15% 2% 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com National 4 NUM 1. 2 Convert these percentages to fraction and simply 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com National 4 NUM 1. 2 Covert these fractions to percentages 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com National 4 NUM 1. 2 Sandra got 15 out of 20 in an maths exam. What percentage is this. 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Franchesca has Percentages the best result. www. mathsrevision. com National 4 NUM 1. 2 Franchesca got 45 out of 60 in her Maths exam and Michael got 21 out of 30 in an English exam. Who got the best result. 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com National 4 NUM 1. 2 Now try Ex 1 Page 41 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com National 4 NUM 1. 2 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com National 4 NUM 1. 2 Learning Intention 1. To explain how to calculate a percentage of a quantity using a calculator. Success Criteria 1. To know how to calculate a percentage using a calculator. 2. Show working. 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

National 4 NUM 1. 2 of means multiple www. mathsrevision. com Q. 15 -Mar-18 Percentages Find 17% of £ 450 Remember money 2 decimal places Compiled by Mr. Lafferty Maths Dept.

National 4 NUM 1. 2 of means multiple www. mathsrevision. com Q. Percentages Find 4% of £ 70 Remember !! money 2 decimal places 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com National 4 NUM 1. 2 Now try Ex 2 a Ch 4 (page 42) 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com National 4 NUM 1. 2 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentage Increase www. mathsrevision. com National 4 NUM 1. 2 Learning Intention 1. To explain some simple increases in percentages using shop prices. Success Criteria 1. Understand terms increase for percentages. 2. Calculate simple increases in percentages. 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

National 4 NUM 1. 2 Percentage Increase / Decrease www. mathsrevision. com 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 Total Hours = Created by Mr. Lafferty Maths Dept

Simple Percentages www. mathsrevision. com National 4 NUM 1. 2 Now try Exercise 2 b Ch 4 (page 44) 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com National 4 NUM 1. 2 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentage Fall (Decrease) www. mathsrevision. com National 4 NUM 1. 2 Learning Intention 1. To explain some simple decreases in percentages using shop prices. Success Criteria 1. Understand terms decrease for percentages. 2. Calculate simple decreases in percentages. 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Percentage Fall (decrease) National 4 NUM 1. 2 www. mathsrevision. com 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

Percentage Fall (decrease) www. mathsrevision. com National 4 NUM 1. 2 Now try Exercise 2 c Ch 4 (page 47) 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com National 4 NUM 1. 2 8 cm 15 -Mar-18 Created by Mr. Lafferty Maths Dept. 6 cm

Calculating Percentages www. mathsrevision. com National 4 NUM 1. 2 Learning Intention Success Criteria 1. To understand how to express “A” as a percentage of “B”. 2. Solve problems in context. 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Calculating Percentages www. mathsrevision. com National 4 NUM 1. 2 Linda scored 45 out of 100 in a Maths test. Write her score as a fraction in it simplest form ? Fraction = What was her percentage score ? 15 -Mar-18 Created by Mr. Lafferty Maths Dept. 45 %

Calculating Percentages www. mathsrevision. com National 4 NUM 1. 2 My council tax has gone up by £ 60. It was £ 300 before the increase. Calculate the council tax increase as a percentage ? Increase = £ 60 % Increase 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Calculating Percentages www. mathsrevision. com National 4 NUM 1. 2 My car has decreased in value to £ 3000. Before the decrease it was valued at £ 5000. Calculate the decrease as a percentage ? Increase = 5000 – 3000 = £ 2000 % decrease 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Calculating Percentages www. mathsrevision. com National 4 NUM 1. 2 Now try Extension booklet Ex 3 E Ch 4 (page 13) 15 -Mar-18 Compiled by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com National 4 NUM 1. 2 Q 1. 0. 5 + 5 x 8 Q 2. Q 3. 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Profit and Loss www. mathsrevision. com National 4 NUM 1. 2 Learning Intention Success Criteria 1. To understand the terms profit and loss in terms of percentages. 1. To know the meaning of the terms PROFIT and LOSS in terms of percentages. . 2. Apply knowledge to calculations. 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Profit and Loss www. mathsrevision. com National 4 NUM 1. 2 Profit : When you sell something for MORE than you bought it. PROFIT = Selling Price – Buying Price Loss : When you sell something for LESS than you bought it. LOSS = Buying Price – Selling Price 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Profit and Loss www. mathsrevision. com National 4 NUM 1. 2 If I buy a i. Pod for £ 200 and sell it for £ 220. What is my percentage profit. I have made a PROFIT of £ 220 - £ 200 = £ 20 % increase = 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Profit and Loss www. mathsrevision. com National 4 NUM 1. 2 I bought a bunch of flowers for £ 6. 00 and tried to sell them for a profit. But I found it difficult to sell them. I sold them for £ 4. 00 before they went off. I made a LOSS of £ 6. 00 - £ 4. 00 = £ 2. 00 % decrease = 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Profit and Loss www. mathsrevision. com National 4 NUM 1. 2 Now try Extension booklet Ex 4 E Ch 4(page 16) 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com National 4 NUM 1. 2 10 cm 15 -Mar-18 Created by Mr. Lafferty Maths Dept. 8 cm

Calculating Percentages Percentage Increase / Decrease www. mathsrevision. com National 4 NUM 1. 2 Learning Intention Success Criteria 1. To understand how to calculate percentage increase / decrease. 2. Solve problems in context. 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Calculating Percentages www. mathsrevision. com National 4 NUM 1. 2 Example 1 : Frances scored 13 out of 20 in a Maths test. What was her percentage score? A % mark = B 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Percentage Increase / Decrease National 4 NUM 1. 2 Example 1 : Daniel was paid £ 20 per week. He got a wage rise to £ 22 per week. What was his percentage increase in pay ? A Actual Increase = £ 22 - £ 20 = £ 2 % increase = B 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Percentage Increase / Decrease National 4 NUM 1. 2 Example 2 : A house in Barlanark bought for £ 40 000 in 2001 was sold last week for £ 50 000. Calculate the percentage increase in value? A Actual Increase = £ 50 000 - £ 40 000 = £ 10 000 % increase = B 15 -Mar-18 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Percentage Increase / Decrease www. mathsrevision. com National 4 NUM 1. 2 Now try Extension Booklet Ex 5 E (page 17) 15 -Mar-18 Created by Mr. Lafferty Maths Dept.