Working systematically

  • Small tomato seedlings in pink pots.
    problem

    Double With 1 to 9

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you find a number and its double using the digits $1$ to $9$ only once each?

  • Small tomato seedlings in pink pots.
    problem

    Rolling Along the Trail

    Age
    11 to 14
    Challenge level
    2 out of 3

    What could be the scores from five throws of this dice?

  • Small tomato seedlings in pink pots.
    problem

    The Square of My Age

    Age
    11 to 14
    Challenge level
    2 out of 3

    Lauren and Thomas tell their ages in terms of sums of squares. Can you work out how old they really are?

  • Staircase Sum
    problem

    Staircase Sum

    Age
    11 to 14
    Challenge level
    2 out of 3

    The digits 1-9 have been written in the squares so that each row and column sums to 13. What is the value of n?

  • Small tomato seedlings in pink pots.
    problem

    Latin Multiplication

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you choose one number from each row and column in this grid to form the largest possibe product?

  • Football Sum
    problem

    Football Sum

    Age
    11 to 14
    Challenge level
    2 out of 3

    Find the values of the nine letters in the sum: FOOT + BALL = GAME

  • Pair Sums
    problem

    Pair Sums

    Age
    11 to 14
    Challenge level
    3 out of 3

    Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

  • Coins
    problem

    Coins

    Age
    11 to 14
    Challenge level
    3 out of 3

    A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?

  • Distinct in a Line
    problem

    Distinct in a Line

    Age
    11 to 14
    Challenge level
    3 out of 3

    This grid can be filled so that each of the numbers 1, 2, 3, 4, 5 appears just once in each row, column and diagonal. Which number goes in the centre square?

  • Small tomato seedlings in yellow pots.
    problem

    Almost Constant Digits

    Age
    11 to 14
    Challenge level
    3 out of 3

    How many 10-digit numbers containing only 1s, 2s and 3s can you write?