Year 7 Being resilient

  • Reflecting Squarely
    problem

    Reflecting squarely

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • Dicey Operations
    game
    Favourite

    More Dicey operations

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    In these multiplication and division games, you'll need to think strategically to get closest to the target.

  • Estimating angles
    game
    Favourite

    Estimating angles

    Age
    7 to 14
    Challenge level
    filled star empty star empty star

    How good are you at estimating angles?

  • Consecutive Numbers
    problem

    Consecutive numbers

    Age
    7 to 14
    Challenge level
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    An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

  • Treasure Hunt
    problem

    Treasure hunt

    Age
    7 to 14
    Challenge level
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    Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

  • Sealed Solution
    problem

    Sealed solution

    Age
    7 to 14
    Challenge level
    filled star filled star empty star

    Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

  • Remainders
    problem

    Remainders

    Age
    7 to 14
    Challenge level
    filled star filled star empty star

    I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

  • Number Lines in Disguise
    problem

    Number lines in disguise

    Age
    7 to 14
    Challenge level
    filled star filled star empty star

    Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

  • Factors and Multiples Game
    game
    Favourite

    Factors and multiples game

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    A game in which players take it in turns to choose a number. Can you block your opponent?

  • Two and Two
    problem

    Two and two

    Age
    7 to 16
    Challenge level
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    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • Have you got it?
    problem

    Have you got it?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you explain the strategy for winning this game with any target?

  • Number Daisy
    problem

    Number daisy

    Age
    11 to 14
    Challenge level
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    Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

  • Odds and Evens
    problem

    Odds and evens

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Are these games fair? How can you tell?

  • Substitution Cipher
    problem

    Substitution cipher

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Find the frequency distribution for ordinary English, and use it to help you crack the code.

  • Factors and Multiples Puzzle
    problem

    Factors and multiples puzzle

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Using your knowledge of the properties of numbers, can you fill all the squares on the board?

  • m, m and m
    problem

    M, M and M

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

  • Multiples Sudoku
    problem

    Multiples Sudoku

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Each clue in this Sudoku is the product of the two numbers in adjacent cells.

  • About Average
    problem

    About average

    Age
    11 to 14
    Challenge level
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    Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

  • Add to 200
    problem

    Add to 200

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    By selecting digits for an addition grid, what targets can you make?

  • Can you Make 100?
    problem

    Can you make 100?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Climbing Complexity
    problem

    Climbing complexity

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

  • Squares in rectangles
    problem

    Squares in rectangles

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?

  • Litov's Mean Value Theorem
    problem

    Litov's mean value theorem

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...