GCSE · Fractions & decimals

Fractions of amountsExam-style questions

Why "of" means multiply, why the base matters when a problem says "of the remainder", and how to reverse from a fractional part back to the whole.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    A theatre has 480480 seats.

    Each seat is in the stalls, the circle or the balcony.

    512\frac{5}{12} of the seats are in the stalls.

    There are 44 seats in the circle for every 33 seats in the balcony.

    number of seats in the circle : number of seats in the stalls =n:1= n : 1
    (a) Work out the value of nn.

    You must show all your working.

    (5 marks)

    The theatre takes out 1515 of the seats in the balcony to make space for a sound desk.
    (b) Does this affect your answer to part (a)?

    Give a reason for your answer.

    (1 mark)
    Level 3 · 6 marksTry it
  2. 2
    A hotel has 240240 rooms.

    The hotel has single rooms, double rooms and family rooms.

    On Saturday night, 78\frac{7}{8} of the rooms were booked.

    The ratios below are for the booked rooms only.

    number of single rooms : number of double rooms =3:5= 3 : 5

    number of double rooms : number of family rooms =2:1= 2 : 1

    What percentage of the 240240 rooms were single rooms booked on Saturday night?

    (5 marks)
    Level 3 · 5 marksTry it
  3. 3
    Work out 47\dfrac{4}{7} of £322
    Level 3 · 2 marksTry it
  4. 4
    Which is larger: 23\dfrac{2}{3} of £8484, or 34\dfrac{3}{4} of £7676?

    You must show your working.
    Level 3 · 3 marksTry it