Addition and subtraction

  • Throw a 100
    problem

    Throw a 100

    Age
    7 to 11
    Challenge level
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    Can you score 100 by throwing rings on this board? Is there more than way to do it?
  • Rocco's Race
    problem

    Rocco's race

    Age
    7 to 11
    Challenge level
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    Rocco ran in a 200 m race for his class. Use the information to find out how many runners there were in the race and what Rocco's finishing position was.
  • Super Shapes
    problem

    Super shapes

    Age
    7 to 11
    Challenge level
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    The value of the circle changes in each of the following problems. Can you discover its value in each problem?

  • Twenty Divided into Six
    problem

    Twenty divided into six

    Age
    7 to 11
    Challenge level
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    Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

  • 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?

  • Calendar Calculations
    problem

    Calendar calculations

    Age
    7 to 11
    Challenge level
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    Try adding together the dates of all the days in one week. Now multiply the first date by 7 and add 21. Can you explain what happens?
  • Mrs Beeswax
    problem

    Mrs Beeswax

    Age
    5 to 7
    Challenge level
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    In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

  • Eleven
    problem

    Eleven

    Age
    11 to 14
    Challenge level
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    Replace each letter with a digit to make this addition correct.
  • 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 ...
  • Add 3 Dice
    problem

    Add 3 dice

    Age
    7 to 11
    Challenge level
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    Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?