Fractions, Decimals And Percentages Worksheet - Level 2 Page 2
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14Know Zone
Percentages
• You need to be able to convert between equivalent fractions, decimals and percentages.
__
7
Example: 0.7
70%
10
__
2
0.666…
66.6…%
3
• It is useful to use these equivalences when you order fractions, decimals and percentages.
__
__
3
2
Example:
0.75, 80% 0.8,
0.666….
4
3
Converting to decimals, you can easily see that you can arrange the numbers in
__
__
2
3
ascending order as
,
, 80%.
3
4
• You need to be able to fi nd a percentage of a quantity.
To fi nd the VAT (at 17.5%) that you pay on something that costs £25,
multiply the cost by 0.175
£25 0.175 £4.38 (rounding to the nearest penny)
• Percentage changes occur in practical problems.
For example, prices can by increased by a percentage, such as VAT, or
decreased by a percentage, such as a sales discount.
To increase a quantity by 5%, a quick method is to multiply the quantity
by 1.05 (1 0.05).
To decrease a quantity by 8%, the quickest way is to multiply the
quantity by 0.92 (1 0.08).
• You need to know how to write one number as a percentage of another.
Example: to write 158 as a percentage of 795:
158 795 100 19.87%
Therefore 158 is roughly 20% of 795.
Finding the percentage change
• To calculate percentage change use this formula:
You buy something for £400. You sell it for £300.
What is the decrease in percentage price?
’Change’ is the amount of
increase (profi t) or decrease
change
______________
Percentage change
100
(loss). Here the change is
original value
£100 decrease (loss).
___
100
100 25%
400
19
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education