GCSE · Percentages & growth

Percentage change and multipliersExam-style questions

Why every percentage increase or decrease is a single multiplication, how to build the multiplier, and why "percentage change" is always measured against the original amount.

19 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Last summer, a town council put up 380380 hanging baskets.

    The council expects to put up 15%15\% more hanging baskets this summer.

    Each hanging basket holds 66 plants.

    The plants are sold in trays of 4040
    (a) Using this estimate, work out the number of trays of plants the council needs to buy.

    (4 marks)

    This summer, the council actually put up 25%25\% more hanging baskets than last summer.
    (b) How does this affect your answer to part (a)?

    (1 mark)
    Level 3 · 5 marksTry it
  2. 2
    Grace buys 1212 boxes of greetings cards.

    There are 3030 cards in each box.

    She pays £14.40 for each box.

    Grace sells all the cards for 6060p each.

    Work out Grace's percentage profit.

    (3 marks)
    Level 3 · 3 marksTry it
  3. 3
    The price of a computer game is £24. A shop increases the price by 25%. The game does not sell, so the shop then reduces the new price by 25%.

    (a) Work out the final price of the game.

    (b) Work out the overall percentage change from the original £24.
    Level 3 · 5 marksTry it
  4. 4
    A company's annual profit rose from £1.8 million to £2.07 million. Work out the percentage increase in profit.
    Level 3 · 3 marksTry it
  5. 5
    The number of members of a running club rose from 8080 to 9292.

    Work out the percentage increase.
    Level 3 · 2 marksTry it

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