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Fractions and Percentages
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Fractions and Percentages
Convert between fractions, decimals and percentages, then use percentages to solve shopping and estimation problems. Show your working where needed.
Fractions, decimals and percentages
1.Write 3/5 as a decimal and as a percentage.
2.Write 7/20 as a decimal and as a percentage.
3.Write 0.45 as a fraction in simplest form and as a percentage.
4.Write 0.125 as a fraction in simplest form and as a percentage.
5.Which pair gives the correct decimal and percentage for 5/8?
- 0.58 and 58%
- 0.625 and 62.5%
- 0.8 and 80%
- 0.65 and 65%
Finding percentages and sale prices
6.A book costs $36. It is reduced by 25%. What is the sale price?
7.A backpack costs $72 and is discounted by 15%. Find the sale price.
8.Find 35% of 240.
9.Find 12.5% of 320.
10.Find 70% of $150.
Estimate, calculate and apply
11.Estimate 49% of 203 by rounding the percentage and the number to friendly values. Then calculate the exact answer.
12.Estimate 21% of 94 using friendly numbers, then calculate the exact answer.
13.Select every reasonable estimate for 48% of 250.
- About 50% of 250, which is 125
- About half of 250, which is 125
- About 10% of 100, which is 10
- About 10% of 250, which is 25
14.At a weekend market, a family buys a fruit box priced at $30 with 10% off and a juice pack priced at $24 with 25% off. Find each sale price, the total paid and the change from $60.
15.Match each fraction to its equivalent decimal and percentage.
- 3/4
- 2/5
- 7/10
- 1/8
- 0.125 and 12.5%
- 0.75 and 75%
- 0.4 and 40%
- 0.7 and 70%
16.Explain one efficient way to calculate 30% of $260.
17.Complete the statements: 25% of a number is the same as dividing it by . To find 10% of a number, . To find 50% of a number, .
18.A circle is divided into 8 equal parts. Shade 3 parts to show 3/8, then write the matching percentage.
19.Explain why 0.5, 1/2 and 50% represent the same amount.
4 printable pages
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Page 4
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