Working systematically

  • 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.

  • 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

    Can you work out which three numbers were pinned onto these children's backs?

  • problem
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    Reach 100

    Age
    7 to 11
    Challenge level
    2 out of 3

    Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

  • problem
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    Two Primes Make One Square

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you make square numbers by adding two prime numbers together?

  • problem
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    Orange Drink

    Age
    7 to 11
    Challenge level
    2 out of 3

    A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

  • Andy's Marbles
    problem
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    Andy's Marbles

    Age
    7 to 11
    Challenge level
    2 out of 3

    Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.

  • Finding Fifteen
    problem
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    Finding Fifteen

    Age
    7 to 11
    Challenge level
    2 out of 3

    Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?