Year 7 Working systematically

  • The Remainders Game
    game
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    The Remainders Game

    Age
    7 to 14
    Challenge level
    1 out of 3

    Play this game and see if you can figure out the computer's chosen number.

  • Consecutive Numbers
    problem
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    Consecutive Numbers

    Age
    7 to 14
    Challenge level
    1 out of 3

    What can you discover about adding and subtracting sets of consecutive numbers?

  • Dozens
    problem
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    Dozens

    Age
    7 to 14
    Challenge level
    1 out of 3

    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
    1 out of 3

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

  • 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?

  • 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?

  • 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?

  • 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?

  • 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?

  • Two and Two
    problem
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    Two and Two

    Age
    7 to 16
    Challenge level
    3 out of 3

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

  • Summing Consecutive Numbers
    problem
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    Summing Consecutive Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    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
    1 out of 3

    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?

  • Shady Symmetry
    problem
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    Shady Symmetry

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many different symmetrical shapes can you make by shading triangles or squares?

  • Number Pyramids
    problem
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    Number Pyramids

    Age
    11 to 14
    Challenge level
    1 out of 3

    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
    1 out of 3

    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?

  • Substitution Cipher
    problem
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    Substitution Cipher

    Age
    11 to 14
    Challenge level
    1 out of 3

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

  • 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?

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

    Age
    11 to 14
    Challenge level
    1 out of 3

    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
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    Going Round in Circles

    Age
    11 to 14
    Challenge level
    1 out of 3

    Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

  • Shifting Times Tables
    problem
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    Shifting Times Tables

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find a way to identify times tables after they have been shifted up or down?

  • Changing areas, changing perimeters
    problem
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    Changing Areas, Changing Perimeters

    Age
    11 to 14
    Challenge level
    1 out of 3

    How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

  • Magic Letters
    problem
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    Magic Letters

    Age
    11 to 14
    Challenge level
    1 out of 3

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

  • Hidden Squares
    problem
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    Hidden Squares

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find the squares hidden on these coordinate grids?

  • 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?

  • About Average
    problem
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    About Average

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

  • Half a minute
    problem
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    Half a Minute

    Age
    11 to 14
    Challenge level
    1 out of 3

    Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

  • 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?

  • Guess \my Quad
    problem
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    Guess My Quad

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many questions do you need to identify my quadrilateral?