Exploring and noticing

  • Forgot the Numbers
    problem
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    Forgot the Numbers

    Age
    7 to 11
    Challenge level
    2 out of 3

    On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

  • Pumpkin Pie Problem
    problem
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    Pumpkin Pie Problem

    Age
    7 to 11
    Challenge level
    2 out of 3

    Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

  • Amy's Dominoes
    problem
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    Amy's Dominoes

    Age
    7 to 11
    Challenge level
    2 out of 3

    Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

  • Numerically Equal
    problem
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    Numerically Equal

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you draw a square in which the perimeter is numerically equal to the area?

  • Twenty Divided into Six
    problem
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    Twenty Divided Into Six

    Age
    7 to 11
    Challenge level
    2 out of 3

    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?

  • Mystery Matrix
    problem
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    Mystery Matrix

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you fill in this table square? The numbers 2-12 were used to generate it with just one number used twice.

  • In the Money
    problem
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    In the Money

    Age
    7 to 11
    Challenge level
    2 out of 3

    One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

  • Fractions in a Box
    problem
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    Fractions in a Box

    Age
    7 to 11
    Challenge level
    2 out of 3

    The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

  • problem
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    One Wasn't Square

    Age
    7 to 11
    Challenge level
    2 out of 3

    Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

  • All the Digits
    problem
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    All the Digits

    Age
    7 to 11
    Challenge level
    2 out of 3

    This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?