FRACTIONS AND PERCENTAGES OF AMOUNTS - MrGoreMaths

WJEC MATHEMATICS INTERMEDIATE

FRACTIONS, DECIMALS, AND PERCENTAGES

FRACTIONS AND PERCENTAGES OF AMOUNTS

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Contents Fractions of amounts

? Non calculator ? Calculator Percentages of amounts ? Non Calculator ? Calculator Percentage change ? Non Calculator ? Calculator Reverse percentage increase One number as a percentage of another

Credits WJEC Question bank

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Fractions of amounts - Non Calculator To find a fraction of a number, divide that number by the denominator and multiply the result by the numerator.

Example 1 Example 2

Step 2 ?2 = 10

2 35

7

Step 1 35 ? 7 = 5

= 10

Step 2 ?3 = 33

3 55

5

Step 1

55 ? 5 = 11

= 33

Exercise N53

Calculate the following fractions of amounts without a calculator

a. 2 45

5

d. 8 72

12

g. 5 36

6

b. 3 56

7

e.

3 4

36

h. 7 144

12

c. 4 63

9

f. 1 70

2

i.

3 13

65

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Fractions of amounts - Calculator When you have a calculator let it do the hard work for you!

Key point! 'of' = multiply

Example 5 12 156

On a calculator paper, this becomes 5 ? 156 = 65

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Use the fraction button on your calculator for this!

Exercise N54

Calculate the following fractions of amounts with a calculator

a.

7 9

225

d. 8 300

12

g. 5 144

6

b. 3 175

7

e. 3 728

4

h. 7 408

12

c.

4 9

279

f.

1 2

449

i.

3 13

845

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Exam Questions N29 Try these questions without a calculator, then check using a calculator 1.

2.

3.

*When completing these without a calculator you may need to practice bus stop division. See the book 'Four Operations and BIDMAS'

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