GCSE · Data representation

Two-way tablesExam-style questions

Why every person in a two-way table is counted exactly once, so the rows, the columns and the grand total all have to agree — and why completing a table is never guesswork: you find the row or column with a single gap and work outwards.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    There are 3030 students in a class. 1818 of them are girls.

    1212 of the students wear glasses. 77 of the girls wear glasses.

    A student is chosen at random. Work out the probability that the student is a boy who does not wear glasses. (3 marks)
    Level 3 · 3 marksTry it
  2. 2
    A shop received 180180 orders in one week. Each order was either collected in store or delivered, and each order was paid for by card or by cash.

    The two-way table shows some information about the orders.
    CardCashTotal
    Collected in store27277575
    Delivered
    Total144144180180
    (a) Complete the two-way table.

    (b) Work out how many more orders were paid for by card than were paid for by cash.
    Level 3 · 5 marksTry it
  3. 3
    120120 people were asked whether they had visited the town's new library.

    7070 of the people were female.

    4545 of the females had visited the library.

    3232 of the males had not visited the library.

    (a) Use this information to complete the two-way table.
    VisitedNot visitedTotal
    Male
    Female
    Total120120
    (b) Work out how many more of the 120120 people had visited the library than had not visited it.
    Level 3 · 5 marksTry it
  4. 4
    A cinema sold 240240 tickets for a film. Each ticket was a standard, a premium or a VIP ticket, and each ticket was bought online or at the desk.

    The two-way table shows some information about the tickets.
    StandardPremiumVIPTotal
    Online86861717
    At the desk35359696
    Total1321327676240240
    (a) Complete the two-way table.

    (b) Work out how many of the tickets sold were premium tickets or VIP tickets.
    Level 3 · 5 marksTry it