Addition and subtraction

  • How many eggs?
    problem

    How many eggs?

    Age
    7 to 11
    Challenge level
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    Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had.
  • Special 24
    problem

    Special 24

    Age
    7 to 11
    Challenge level
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    Find another number that is one short of a square number and when you double it and add 1, the result is also a square number.
  • Zargon Glasses
    problem

    Zargon glasses

    Age
    7 to 11
    Challenge level
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    Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
  • Magic Circles
    problem

    Magic circles

    Age
    7 to 11
    Challenge level
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    Put the numbers 1, 2, 3, 4, 5, 6 into the squares so that the numbers on each circle add up to the same amount. Can you find the rule for giving another set of six numbers?
  • Arranging the Tables
    problem

    Arranging the tables

    Age
    7 to 11
    Challenge level
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    There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
  • Number Juggle
    problem

    Number juggle

    Age
    7 to 11
    Challenge level
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    Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).
  • A Rod and a Pole
    problem

    A rod and a pole

    Age
    7 to 11
    Challenge level
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    A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?
  • Make 100
    problem

    Make 100

    Age
    7 to 11
    Challenge level
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    Find at least one way to put in some operation signs to make these digits come to 100.

  • Next Number
    problem

    Next number

    Age
    7 to 11
    Challenge level
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    Find the next number in this pattern: 3, 7, 19, 55 ...
  • Amy's Dominoes
    problem

    Amy's dominoes

    Age
    7 to 11
    Challenge level
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    Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?