Year 7 Explaining, convincing and proving

  • Got It
    problem
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    Got It

    Age
    7 to 14
    Challenge level
    1 out of 3

    By choosing to add numbers from 1-4, can you hit the target number in this game?

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

    Age
    7 to 14
    Challenge level
    1 out of 3

    Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

  • A First Product Sudoku
    problem
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    A First Product Sudoku

    Age
    7 to 14
    Challenge level
    1 out of 3

    Given the products of adjacent cells, can you complete this Sudoku?

  • A rolled up old-fashioned treasure map.
    problem
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    Treasure Hunt

    Age
    7 to 14
    Challenge level
    1 out of 3

    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
    1 out of 3

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

  • Orange lottery balls in a spinning cage.
    problem
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    The Number Jumbler

    Age
    7 to 14
    Challenge level
    1 out of 3

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

  • Less is More
    problem
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    Less Is More

    Age
    7 to 14
    Challenge level
    1 out of 3

    Use your knowledge of place value to try to win this game. How will you maximise your score?

  • More Less is More
    problem
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    More Less Is More

    Age
    7 to 14
    Challenge level
    1 out of 3

    In each of these games, you will need a little bit of luck and your knowledge of place value to develop a winning strategy.

  • Sealed Solution
    problem
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    Sealed Solution

    Age
    7 to 14
    Challenge level
    2 out of 3

    The sum of the numbers inside an envelope is written on the outside. What could the numbers be?

  • A chopped carrot beside a whole carrot. The carrot top sits away from the chopped carrot.
    problem
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    Remainders

    Age
    7 to 14
    Challenge level
    2 out of 3

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

  • problem
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    Doughnut Percents

    Age
    7 to 14
    Challenge level
    2 out of 3

    Can you make doughnuts by matching these fractions, decimals and percentages?

  • Number Lines in Disguise
    problem
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    Number Lines in Disguise

    Age
    7 to 14
    Challenge level
    2 out of 3

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

  • 5 by 5 Mathdokus
    problem
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    5 by 5 Mathdokus

    Age
    7 to 16
    Challenge level
    1 out of 3

    Can you use the clues to complete these 5 by 5 Mathematical Sudokus?

  • Quadrilaterals game
    game
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    Quadrilaterals Game

    Age
    11 to 14
    Challenge level
    1 out of 3

    A game for 2 or more people, based on the traditional card game Rummy.

  • Odds and Evens
    problem
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    Odds and Evens

    Age
    11 to 14
    Challenge level
    1 out of 3

    Are these games fair? How can you tell?

  • m, m and m
    problem
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    M, M and M

    Age
    11 to 14
    Challenge level
    1 out of 3

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

  • Mixing Lemonade
    problem
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    Mixing Lemonade

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you work out which drink has the stronger flavour?

  • Perimeter Possibilities
    problem
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    Perimeter Possibilities

    Age
    11 to 14
    Challenge level
    1 out of 3

    I'm thinking of a rectangle with an area of 24. What could its perimeter be?

  • Strange Bank Account
    problem
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    Strange Bank Account

    Age
    11 to 14
    Challenge level
    1 out of 3

    Imagine a very strange bank account where you are only allowed to do two things...

  • Cryptarithms
    problem
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    Cryptarithms

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you crack these cryptarithms?

  • Perimeter Challenge
    problem
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    Perimeter Challenge

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you deduce the perimeters of the shapes from the information given?

  • Colourful Cube
    problem
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    Colourful Cube

    Age
    11 to 14
    Challenge level
    1 out of 3

    A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

  • More Number Pyramids
    problem
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    More Number Pyramids

    Age
    11 to 14
    Challenge level
    2 out of 3

    When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

  • Shear Magic
    problem
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    Shear Magic

    Age
    11 to 14
    Challenge level
    2 out of 3

    Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

  • Squares in rectangles
    problem
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    Squares in Rectangles

    Age
    11 to 14
    Challenge level
    2 out of 3

    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?

  • Thousands and Millions
    problem
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    Thousands and Millions

    Age
    11 to 14
    Challenge level
    2 out of 3

    Here's a chance to work with large numbers...

  • Unequal Averages
    problem
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    Unequal Averages

    Age
    11 to 14
    Challenge level
    2 out of 3

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

  • Statistical shorts
    problem
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    Statistical Shorts

    Age
    11 to 16
    Challenge level
    1 out of 3

    Can you decide whether these short statistical statements are always, sometimes or never true?