Introducing algebra

  • Sisters and Brothers
    problem

    Sisters and Brothers

    Age
    7 to 11
    Challenge level
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    Cassandra, David and Lachlan are brothers and sisters. They range in age between 1 year and 14 years. Can you figure out their exact ages from the clues?
  • Gift Stacks
    problem

    Gift Stacks

    Age
    7 to 11
    Challenge level
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    Use the information to work out how many gifts there are in each pile.
  • Cherry Buns
    problem

    Cherry Buns

    Age
    7 to 11
    Challenge level
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    Sam's grandmother has an old recipe for cherry buns. She has enough mixture to put 45 grams in each of 12 paper cake cases. What was the weight of one egg?
  • Two Number Lines
    problem

    Two Number Lines

    Age
    7 to 11
    Challenge level
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    Max and Mandy put their number lines together to make a graph. How far had each of them moved along and up from 0 to get the counter to the place marked?
  • Counting Counters
    problem

    Counting Counters

    Age
    7 to 11
    Challenge level
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    Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
  • 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.
  • Augustus' Age
    problem

    Augustus' Age

    Age
    7 to 11
    Challenge level
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    In 1871 a mathematician called Augustus De Morgan died. De Morgan made a puzzling statement about his age. Can you discover which year De Morgan was born in?
  • Buckets of Thinking
    problem

    Buckets of Thinking

    Age
    7 to 11
    Challenge level
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    There are three buckets each of which holds a maximum of 5 litres. Use the clues to work out how much liquid there is in each bucket.

  • problem

    Gran, How Old Are You?

    Age
    7 to 11
    Challenge level
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    When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?