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Understanding Percentages Basics

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Understanding Percentages Basics

Complete each task. Show your working for calculations and simplify fractions where possible.

Percentage foundations

1.Complete both statements: A percentage describes a number of parts out of , and its symbol is .

2.What does 35% mean?

35 out of 100
35 out of 35
35 out of 10
100 out of 35

3.Shade the fraction bar to show 25% of a whole.

Fractions, decimals and percentages

Fraction

Decimal

Percentage

1/2

_____

0.25

_____

75%

1/5

_____

4.Convert 3/8 to a percentage. Show how you worked it out.

5.Select every value that is equivalent to 40%.

2/5
0.4
4/10
0.04
40/100

Percentages in everyday situations

6.A rain jacket costs $120 and is reduced by 15%. How much money is taken off the price?

7.A group of 80 students takes part in a survey. If 45% cycle to school, how many students cycle?

8.Which offer gives the greatest saving?

20% off a $90 backpack
25% off a $64 backpack
30% off a $50 backpack

9.A forecast gives a 30% chance of rain tomorrow. Explain what this percentage tells you.

Apply and explain

10.Match each percentage to its equivalent fraction.

4/5
3/20
2/5
1/20

11.There are 25 people in a club. If 64% bring a reusable drink bottle, how many people bring one?

12.Draw a bar model divided into 10 equal parts to represent 40% of a group of students. Shade the part representing the students described by 40%.

13.In your own words, describe what a percentage represents and give a suitable everyday example.

14.Describe one method for changing a fraction into a percentage, and explain why you prefer that method.

15.Decide whether each statement is true or false: 0.6 equals 60%; 1/5 is greater than 25%; 100% represents a whole; and a percentage can be greater than 100%.

TrueFalse