Year 7 Being curious

  • Dicey Operations
    game
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    Dicey Operations

    Age
    7 to 14
    Challenge level

    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

    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

    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

    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

    What is the smallest number of answers you need to reveal in order to work out the missing headers?

  • The Number Jumbler
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    The Number Jumbler

    Age
    7 to 14
    Challenge level

    The Number Jumbler can always work out your chosen symbol. Can you work out how?

  • Dicey Operations
    game
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    More Dicey Operations

    Age
    7 to 14
    Challenge level

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

  • Factors and Multiples Game
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    Factors and Multiples Game

    Age
    7 to 16
    Challenge level

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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

    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?

  • Unequal Averages
    problem
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    Unequal Averages

    Age
    11 to 14
    Challenge level

    Play around with sets of five numbers and see what you can discover about different types of average...

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