Being collaborative

  • Roll these Dice
    problem
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    Roll These Dice

    Age
    7 to 11
    Challenge level
    2 out of 3

    Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

  • Making Boxes
    problem
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    Making Boxes

    Age
    7 to 11
    Challenge level
    2 out of 3

    Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

  • Making Cuboids
    problem
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    Making Cuboids

    Age
    7 to 11
    Challenge level
    2 out of 3

    Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

  • problem
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    Maze 100

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you go through this maze so that the numbers you pass add to exactly 100?

  • Domino Square
    problem
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    Domino Square

    Age
    7 to 11
    Challenge level
    2 out of 3

    Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

  • Egyptian Rope
    problem
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    Egyptian Rope

    Age
    7 to 11
    Challenge level
    2 out of 3

    The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

  • 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?

  • 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?