Practice Maths

Topic Review — Percentages

Mixed Practice — L13 – L16

This review covers all lessons in the Percentages topic. Try each question before checking your answers.

Review Questions

  1. Converting between percentages, fractions and decimals. Fluency

    1. Convert 45% to: (i) a decimal (ii) a fraction in simplest form
    2. Convert 0.08 to a percentage.
    3. Convert 7⁄8 to a percentage.
    4. Express 24 out of 40 as a percentage.
    5. Express 13 out of 52 as a percentage.
    6. Arrange in ascending order: 0.6,   58%,   3⁄5,   11⁄20

  2. Finding percentages of quantities. Fluency

    1. Find 35% of 80.
    2. Find 12% of 350.
    3. Find 7.5% of 400.
    4. 20% of a number is 46. Find the number.
    5. Find 125% of 64.
    6. What is 1% of $8 500?

  3. Percentage increase and decrease. Understanding

    1. Increase $240 by 15%.
    2. Decrease 560 by 25%.
    3. A price increases from $80 to $96. What is the percentage increase?
    4. A value decreases from 250 to 185. What is the percentage decrease?
    5. After a 20% decrease, the new value is 160. What was the original?
    6. A salary increases by 8% to $38 880. What was the original salary?

  4. Profit, loss, discount and GST. Understanding

    1. A bike is bought for $180 and sold for $225. Find the percentage profit.
    2. A tablet cost $640 and was sold for $512. Find the percentage loss.
    3. A jacket is discounted by 30% from $220. Find the sale price.
    4. Find the price including GST (10%) on an item priced at $340.
    5. A price including GST is $275. Find the pre-GST price.
    6. A store marks up an item by 40%. If the cost price was $65, what is the selling price?

  5. Mixed percentage problem solving. Problem Solving

    1. A school basketball team won 15 games and lost 9. What percentage of games did they win?
    2. A store has a “30% off everything” sale. GST (10%) is then added. James buys a shirt originally priced at $85. How much does he pay?
    3. A savings account earns 4% interest per year. If $2500 is invested, how much is in the account after one year?
    4. A car depreciates (loses value) by 15% per year. It is currently worth $22 000.
      1. What is it worth after one year?
      2. What is it worth after two years?
    5. On a test, Sophia scored 54 out of 60. The pass mark is 70%. Did she pass? Show your working.
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