Year 7 Being curious

  • Dicey Operations
    game
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    Dicey Operations

    Age
    7 to 14
    Challenge level
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    In these addition and subtraction games, you'll need to think strategically to get closest to the target.

  • Consecutive Numbers
    problem
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    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.

  • Your number is...
    problem
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    Your Number Is...

    Age
    7 to 14
    Challenge level
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    Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

  • A rolled up old-fashioned treasure map.
    problem
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    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?

  • missing multipliers
    problem
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    Missing Multipliers

    Age
    7 to 14
    Challenge level
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    What is the smallest number of answers you need to reveal in order to work out the missing headers?

  • The Number Jumbler
    problem
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    The Number Jumbler

    Age
    7 to 14
    Challenge level
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    The Number Jumbler can always work out your chosen symbol. Can you work out how?

  • 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.

  • Factors and Multiples Game
    game
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    Factors and Multiples Game

    Age
    7 to 16
    Challenge level
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    A game in which players take it in turns to choose a number. Can you block your opponent?

  • Summing Consecutive Numbers
    problem
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    Summing Consecutive Numbers

    Age
    11 to 14
    Challenge level
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    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

  • Number Daisy
    problem
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    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?

  • Number Pyramids
    problem
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    Number Pyramids

    Age
    11 to 14
    Challenge level
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    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Consecutive Seven
    problem
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    Consecutive Seven

    Age
    11 to 14
    Challenge level
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    Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

  • A glue stick with the lid off.
    problem
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    Sticky Numbers

    Age
    11 to 14
    Challenge level
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    Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

  • Shifting Times Tables
    problem
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    Shifting Times Tables

    Age
    11 to 14
    Challenge level
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    Can you find a way to identify times tables after they have been shifted up or down?

  • Sieve of Eratosthenes
    problem
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    Sieve of Eratosthenes

    Age
    11 to 14
    Challenge level
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    Follow this recipe for sieving numbers and see what interesting patterns emerge.

  • Perimeter Possibilities
    problem
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    Perimeter Possibilities

    Age
    11 to 14
    Challenge level
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    I'm thinking of a rectangle with an area of 24. What could its perimeter be?

  • About Average
    problem
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    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?

  • Beach Huts
    problem
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    Beach Huts

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

    Can you figure out how sequences of beach huts are generated?

  • Add to 200
    problem
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    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?

  • Climbing Complexity
    problem
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    Climbing Complexity

    Age
    11 to 14
    Challenge level
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    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?

  • More Number Pyramids
    problem
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    More Number Pyramids

    Age
    11 to 14
    Challenge level
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    When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

  • On the Edge
    problem
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    On the Edge

    Age
    11 to 14
    Challenge level
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    If you move the tiles around, can you make squares with different coloured edges?

  • Squares in rectangles
    problem
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    Squares in Rectangles

    Age
    11 to 14
    Challenge level
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    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
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    Litov's Mean Value Theorem

    Age
    11 to 14
    Challenge level
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    Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

  • Searching for mean(ing)
    problem
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    Searching for Mean(ing)

    Age
    11 to 16
    Challenge level
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    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?