Year 7 Exploring and noticing

  • Dicey Operations
    game
    Favourite

    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.

  • Dozens
    problem
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    Dozens

    Age
    7 to 14
    Challenge level
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    Can you select the missing digit(s) to find the largest multiple?

  • Got It
    problem
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    Got It

    Age
    7 to 14
    Challenge level
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    A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

  • 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?

  • 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.

  • problem
    Favourite

    Doughnut Percents

    Age
    7 to 14
    Challenge level
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    Can you make doughnuts by matching these fractions, decimals and percentages?

  • Factors and Multiples Game
    game
    Favourite

    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?

  • Up, down, flying around
    game
    Favourite

    Up, Down, Flying Around

    Age
    11 to 14
    Challenge level
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    Play this game to learn about adding and subtracting positive and negative numbers

  • Summing Consecutive Numbers
    problem
    Favourite

    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?

  • Shady Symmetry
    problem
    Favourite

    Shady Symmetry

    Age
    11 to 14
    Challenge level
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    How many different symmetrical shapes can you make by shading triangles or squares?

  • Odds and Evens
    problem
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    Odds and Evens

    Age
    11 to 14
    Challenge level
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    Are these games fair? How can you tell?

  • Substitution Cipher
    problem
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    Substitution Cipher

    Age
    11 to 14
    Challenge level
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    Find the frequency distribution for ordinary English, and use it to help you crack the code.

  • Mirror, mirror...
    problem
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    Mirror, Mirror...

    Age
    11 to 14
    Challenge level
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    Explore the effect of reflecting in two parallel mirror lines.

  • A glue stick with the lid off.
    problem
    Favourite

    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?

  • Going round in circles
    problem
    Favourite

    Going Round in Circles

    Age
    11 to 14
    Challenge level
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    Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

  • Shifting Times Tables
    problem
    Favourite

    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?

  • Attractive rotations
    problem
    Favourite

    Attractive Rotations

    Age
    11 to 14
    Challenge level
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    Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

  • Perimeter Expressions
    problem
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    Perimeter Expressions

    Age
    11 to 14
    Challenge level
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    Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

  • 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.

  • Odds, Evens and More Evens
    problem
    Favourite

    Odds, Evens and More Evens

    Age
    11 to 14
    Challenge level
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    Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

  • Magic Letters
    problem
    Favourite

    Magic Letters

    Age
    11 to 14
    Challenge level
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    Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

  • Strange Bank Account
    problem
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    Strange Bank Account

    Age
    11 to 14
    Challenge level
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    Imagine a very strange bank account where you are only allowed to do two things...

  • 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
    Favourite

    Beach Huts

    Age
    11 to 14
    Challenge level
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    Can you figure out how sequences of beach huts are generated?

  • Add to 200
    problem
    Favourite

    Add to 200

    Age
    11 to 14
    Challenge level
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    By selecting digits for an addition grid, what targets can you make?

  • Can you Make 100?
    problem
    Favourite

    Can You Make 100?

    Age
    11 to 14
    Challenge level
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    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Fractions Rectangle
    problem
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    Fractions Rectangle

    Age
    11 to 14
    Challenge level
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    The large rectangle is divided into quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?