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Percentages & Proportions Guide

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Percentages & Proportions Guide

Show your calculations where asked. Write fractions in simplest form.

Connect percentages, ratios, and fractions

A percent is a quantity expressed out of 100. A ratio compares quantities, and a proportion states that two ratios are equal.

1.The bar has 4 of its 10 equal parts shaded. Write the shaded amount as a fraction in simplest form and as a percentage.
2.Complete the equivalent forms: 35% = :100 = /100 = /20.
3.Write 45% as a fraction in simplest form.
4.Write 7/8 as a percentage.
5.Which choices are equal to 30%? Select every correct answer.
  • 3:10
  • 30/100
  • 3/5
  • 6/20
6.In a group of 80 students, 22 ride the bus to school. What percentage of the group rides the bus? Show how you set up a proportion.

Use percentages in everyday situations

For each money problem, include the amount and the appropriate dollar sign.

7.A backpack costs $64 before a 25% discount. Find the discount amount, then find the sale price.
8.A $52 meal is subject to 7.5% sales tax. How much sales tax will be added?
9.Jayden wants to leave a 20% tip on a $36 restaurant bill. How much should the tip be?

2 printable pages

  • Year 7 practice connecting fractions, ratios, and percentages, including a shaded fraction bar.

    Page 1

  • Year 7 real-world percentage problems with discounts, sales tax, and tips.

    Page 2

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