n5 num 9-jan-16compiled by mr. lafferty maths dept. percentages percentage with and without a...

N5 Num

21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.

PercentagesPercentagesw

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Expressing one number as a % of Another

Compound Interest

Appreciation & Depreciation

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Starter QuestionsStarter Questionsw

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14

1. Calculate 45.6 x 7

2. Write the fraction as a percentage

3. Calculate 2 + 3 4

4. 4 jars of sweets cost £2.40.

How much for 3 jars.

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PercentagesPercentagesw

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1.1. Remember the basic Remember the basic percentages.percentages.

1. We are reviewing basic percentages.

2.2. Calculate a basic Calculate a basic percentage without a percentage without a calculator.calculator.

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21 Apr 202321 Apr 2023 Compiled by Mr. Lafferty Maths Dept.Compiled by Mr. Lafferty Maths Dept.ww

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Copy down and learn the following basic percentages

Simple Simple PercentagesPercentages

100% 50%1

33 %3 25% 20% 10% 5% 1%

112

13

14

15

110

120

1100

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Copy down and learn the following basic percentages

Simple Simple PercentagesPercentages

100% 50%1

33 %3

266 %

3 20% 40%60% 80%

112

13

23

15

25

35

45

10% 30%70% 90%

110

310

710

910

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Q. Find 30% of £40

PercentagesPercentages

3 40

10

40 ÷10 x 3 =12

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Q. Find 75% of £600


3 600

4

600 ÷4 x 3 =450

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Remember money

2 decimal places

Find 17% of £450

PercentagesPercentagesof

means multiple

17 450100

17 100 450

£ 76.50

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With a Calculator

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Remember !! money

2 decimal places

Find 4% of £70


4 70100

4 100 70

£ 2.80

With a Calculator

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21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try N5 Lifeskills

Ex 1Ch3 (page 27)

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PercentagesPercentagesWith & Without a Calculator

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Percentagesw

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1.1. To know how to convert a To know how to convert a fraction / decimal to a fraction / decimal to a percentage.percentage.

1. We are learning to convert a fraction / decimal to a percentage and use them in context.

2.2. Be able to compare Be able to compare percentages in context.percentages in context.

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Fraction Decimal Percentage

Do the division x 100

3

40.75 75%

Do the division x 100

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Convert these percentages to fraction and simply


15

20100

20%

34

75100

75%

35

60100

60%

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17% =

81% =


17100

81100

40 2100 5

40% =

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Covert these fractions to percentages


110

1 10 100 10%

320

3 20 100 15%

45

4 5 100 80%

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= 27%

= 29%

= 15%

58 200 100

27 100 100

3÷20 100

PercentagesPercentagesComparing Percentages

27100

320

58200

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Franchesca got 45 out of 60 in her Maths examand Michael got 21 out of 30 in an English exam.Who got the best result.


4560 45 60 100 75%2130 21 30 100 70%

Franchesca has the best

result.

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Paul scored :24 out of 30 in English and 36 out of 40 in Maths.

By finding the percentage score for each, which is his

best subject ?

24

30 100 =


36

40 100 =

English Maths

80% 90%

Comparing Percentages

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Ex 2Ch3 (page 29)

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Are you on Target ?I can ?


Starter Starter QuestionsQuestions

Q1. Write these perecentages as decimals.

(a) 75% (b) 12.5% (c) 60%

Q2. Find 30% of £ 400.

Q3. Find the area of the shape.

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8cm

10cm

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Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know when to use To know when to use compound formula.compound formula.

1. We are learning how to use the compound formula for appropriate problems.

2.2. Solve problems Solve problems involving compound involving compound formula.formula.

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Friday, April 21, 2023Friday, April 21, 2023 created by Mr. lafferty @ created by Mr. lafferty @ www.mathsrevision.comwww.mathsrevision.com 2121

Compound InterestCompound Interest

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Compound InterestCompound InterestInterest

calculated on new value every year

Real life Interest is not a fixed quantity year after year. One year’s interest becomes part of the next year’s amount. Each year’s interest is calculated on the amount at the start of the year.

Example

Daniel has £400 in the bank. He leaves it in the bank for 3 years. The interest is 7% each year. Calculate the simply interest and then the compound interest after 3 years.

Initial value


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Daniel has £400 in the bank. He leaves it in the bank for 3 years. The interest is 7% each year. Calculate the compound interest and the amount he has in the bank after 3 years.

Y1 : Interest = 7% of £400 = £28

Amount = £400 + £28 = £428

Y 2 : Interest = 7% of £428 = £29.96

Amount = £428 + £29.96 = £457.96

Y 3 : Interest = 7% of £457.96 = £32.06Amount = £457.06 + £32.06 = £490.02

Compound is £490.02 - £400 = £90.02Simple Interest is only £84

Interest = 7% of £400 = £28

3 x 28 = £84

Simple Interest

Interest calculated on

new value every year



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Easier MethodEasier Method


n

100

%1IV

n = period of timeDays, months years

± = increase or decrease

I = initial value

V = Value

IMPORTANT

Can only use this when percentage

is fixed

This is called the multiplier.


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Calculate the money in the bank after 3 years if the Calculate the money in the bank after 3 years if the compound interest rate is 7% and the initial value is compound interest rate is 7% and the initial value is £400.£400.

V= 400 x (1.07)3 =

£490.02


n

100

%1IV

n = 3

± = increase 1+0.07=1.07I =400


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Ex 3Ch3 (page 31)

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PercentagesPercentagesCompound Interest

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Starter Questionsw

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with length 3 cm.

2. 4.56 + 2.36 - 1.2

3. Find an equivalent fraction

with denominator 100 for .1

20

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Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know the terms To know the terms appreciation and appreciation and depreciation.depreciation.

1. We are learning about the terms appreciation and depreciation.

2.2. Show appropriate Show appropriate workingworkingwhen solving problems when solving problems containing appreciation containing appreciation and depreciation.and depreciation.

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Appreciation & DepreciationAppreciation & Depreciation


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Appreciation : Going up in value e.g. House value

Depreciation : Going down in value e.g. car value



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Average house price in Ayr has appreciated by 79% over past 10 years.

If you bought the house for £64995 ten years ago in 1994 how much would the house be worth now ?

Appreciation = 79% x £ 64995= 0.79 x £64995

= £ 51346.05New value = Old Value + Appreciation

= £64995 + £51346.05= £ 116341.05

Just working out

percentages

Friday, April 21, 2023 created by Mr. lafferty @ www.mathsrevision.com

33

Quicker MethodEasier

% £100 64995179 05.116341£64995

100

179

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A Mini Cooper cost £14 625 in 2002A Mini Cooper cost £14 625 in 2002

At the end 2003 it At the end 2003 it depreciateddepreciated by 23% by 23%

At the end 2004 it will depreciate by a further 16%At the end 2004 it will depreciate by a further 16%

What will the mini cooper worth at end 2004?What will the mini cooper worth at end 2004?

End 2003 End 2003

Depreciation Depreciation = 23% x £14625= 23% x £14625

= 0.23 x £14625= 0.23 x £14625

= £3363.75= £3363.75

New valueNew value = Old value - Depreciation= Old value - Depreciation

= £14625 - £3363.75= £14625 - £3363.75

= = £11261.25£11261.25

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End 2003 End 2003

Depreciation Depreciation = 23% x £14625= 23% x £14625

= 0.23 x £14625= 0.23 x £14625

= £3363.75= £3363.75

New valueNew value = Old value - Depreciation= Old value - Depreciation

= £14625 - £3363.75= £14625 - £3363.75

= £11261.25= £11261.25

End 2004 End 2004

Depreciation Depreciation = 16% x £11261.25= 16% x £11261.25

= 0.16 x £11261.25= 0.16 x £11261.25

= £1801.80= £1801.80

New Value New Value = £11261.25 - £1801.80= £11261.25 - £1801.80

= £9459.45= £9459.45


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Now try lifeskills

Ex 4Ch3 (page 29)

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PercentagesPercentagesComparing Percentages

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Log ?

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n5 num 9-jan-16compiled by mr. lafferty maths dept. percentages percentage with and without a...

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