Percentages www mathsrevision com Level 34 Revision of

Percentages www. mathsrevision. com Level 3/4 Revision of Level 2 Appreciation / Depreciation Expressing “A” as a percentage of “B” Finding Initial Value after increase or decrease 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 3/4 Q 1. 34. 5 + 0. 6 + 5 Q 2. Tidy-up the expression Q 3. Q 4. 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Percentages Revision of Level 2 www. mathsrevision. com Level 3/4 Learning Intention 1. Success Criteria Review of Level 2 work using Mind Map. 1. Convert percentages to fractions and decimals. 2. Change fraction to percentages. 3. Find percentage values. 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Percentages Revision of Level 2 www. mathsrevision. com Level 3/4 29 -Sep-20 Put over 100 3 Put over 100 7 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level 3/4 What simple % is missing 80% = Percentages Revision of Level 2 Example : Find 20% of £ 450 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

How to find % of a quantity using a calculator Level 3/4 www. mathsrevision. com example Find Step 1 : Convert % to a decimal of means x Step 2 : Step 3 : Do sum Calculator Keys 5 0 29 -Sep-20 1 0 0 x 3 0 Created by Mr. Lafferty Maths Dept. 0 = 150

How to find % of a quantity using a calculator Level 3/4 www. mathsrevision. com example Find Step 1 : Convert % to a decimal of means x Step 2 : Step 3 : Do sum Calculator Keys 4 0 29 -Sep-20 1 0 0 x 4 8 Created by Mr. Lafferty Maths Dept. 0 = 192

Percentages Revision of Level 2 www. mathsrevision. com Level 3/4 Now try Exercise 1 Ch 19 (page 92) 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 3/4 5 cm 29 -Sep-20 Created by Mr. Lafferty Maths Dept. 6 cm

Calculating Percentages Appreciation & Depreciation www. mathsrevision. com Level 3/4 Learning Intention Success Criteria 1. We are learning the terms appreciation and depreciation. 1. Understand the terms appreciation and depreciation. 2. Show appropriate working when solving problems containing appreciation and depreciation. 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Appreciation & Depreciation www. mathsrevision. com Level 3/4 Appreciation / Depreciation Appreciation : Going up in value e. g. House value Depreciation : Going down in value e. g. car value 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

www. mathsrevision. com Average house price in Glasgow has appreciated by 50% over the past 10 years. If you bought the house for £ 80 000 in 1994 how much would the house be worth now ? Appreciation = 50% x £ 80 000 = 0. 50 x £ 80 000 = £ 40 000 New value = Old Value + Appreciation = £ 80 000 + £ 40 000 = £ 120 000 29 -Sep-20 Created by Mr. Lafferty Maths Dept. Just working out percentages

Calculating Percentages Appreciation & Depreciation www. mathsrevision. com Level 3/4 A Mini Cooper cost £ 15 000 in 2005 At the end 2006 it will have depreciated by 20% What will the mini cooper worth at end 2006? End 2006 Depreciation = 20% x £ 15 000 = 0. 2 x £ 15 000 = £ 3 000 New value = Old value - Depreciation = £ 15 000 - £ 3000 = £ 12 000 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Appreciation & Depreciation www. mathsrevision. com Level 3/4 A valuable piece of jewellery appreciated by 10% in the 1 st year and by 20 % in the 2 nd Year. If its initial value was £ 1 000, what is its value now ? 1 st Year Appreciation = 10% x £ 1 000 = 0. 1 x £ 1 000 = £ 100 New Value = £ 1 000 + £ 100 = £ 1 100 2 nd Year Appreciation = 20% x £ 1 100 = 0. 2 x £ 1 100 = £ 220 New Value = £ 1 100 + £ 220 = £ 1320 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Appreciation & Depreciation www. mathsrevision. com Level 3/4 Now try Exercise 2 Ch 19 (page 94) 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 3/4 10 cm 29 -Sep-20 Created by Mr. Lafferty Maths Dept. 8 cm

Calculating Percentages Expressing “A” as a percentage of “B” www. mathsrevision. com Level 3/4 Learning Intention Success Criteria 1. We are learning to express “A” as a percentage of “B”. 1. To understand how to express “A” as a percentage of “B”. 2. Solve problems in context Showing appropriate working. . 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Expressing “A” as a percentage of “B” www. mathsrevision. com Level 3/4 Example 1 : Frances scored 13 out of 20 in a Maths test. What was her percentage score? A % mark = B 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Expressing “A” as a percentage of “B” www. mathsrevision. com Level 3/4 Example 2 : 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 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Expressing “A” as a percentage of “B” www. mathsrevision. com Level 3/4 Example 3 : A house in Barlanark bought for £ 40 000 in 2001 was sold last week for £ 50 000. Calculate the percentage appreciation in value? A Actual Increase = £ 50 000 - £ 40 000 = £ 10 000 % increase = B 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages Expressing “A” as a percentage of “B” www. mathsrevision. com Level 3/4 Now try Exercise 3 Ch 19 (page 97) 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com Level 3/4 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Percentages www. mathsrevision. com Level 3/4 Finding initial value after an increase or decrease Learning Intention Success Criteria 1. We are learning to find the initial value after an increase or decrease. 1. To understand the process of finding the initial value. 2. To solve problems using this process with appropriate working. 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages www. mathsrevision. com Level 3/4 Finding initial value after an increase or decrease Example 1 After a 10% increase the price of a house is £ 88 000. What was the price before the increase. Deduce from question : 100 % + 10 % = £ 88 000 We have : 110 % = £ 88 000 1%: Price before is 100% : £ 800 x 100 = £ 80 000 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages www. mathsrevision. com Level 3/4 Finding initial value after an increase or decrease Example 2 The value of a car depreciated by 15%. It is now valued at £ 2550. What was it’s original price. Deduce from question : 100 % - 15 % = £ 2 550 We have : 85 % = £ 2 550 1%: Price before is 100% : £ 30 x 100 = £ 3 000 29 -Sep-20 Created by Mr. Lafferty Maths Dept.

Calculating Percentages www. mathsrevision. com Level 3/4 Finding initial value after an increase or decrease Now try Exercise 4 Ch 19 (page 98) 29 -Sep-20 Created by Mr. Lafferty Maths Dept.