Exploring and noticing

  • Make 100
    problem
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    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.

  • Forgot the Numbers
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    Forgot the Numbers

    Age
    7 to 11
    Challenge level
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    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
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    Pumpkin Pie Problem

    Age
    7 to 11
    Challenge level
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    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
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    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?

  • Numerically Equal
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    Numerically Equal

    Age
    7 to 11
    Challenge level
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    Can you draw a square in which the perimeter is numerically equal to the area?

  • Twenty Divided into Six
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    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?

  • Mystery Matrix
    problem
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    Mystery Matrix

    Age
    7 to 11
    Challenge level
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    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
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    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
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    Fractions in a Box

    Age
    7 to 11
    Challenge level
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    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.

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    One Wasn't Square

    Age
    7 to 11
    Challenge level
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    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.