Year 7 Working systematically

  • The Remainders Game
    game
    Favourite

    The Remainders Game

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

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

  • Consecutive Numbers
    problem
    Favourite

    Consecutive Numbers

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

    An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

  • Dozens
    problem
    Favourite

    Dozens

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

    Can you select the missing digit(s) to find the largest multiple?

  • Got It
    problem
    Favourite

    Got It

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

    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.

  • missing multipliers
    problem
    Favourite

    Missing Multipliers

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

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

  • The Number Jumbler
    problem
    Favourite

    The Number Jumbler

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

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

  • Sealed Solution
    problem
    Favourite

    Sealed Solution

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

    Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

  • problem
    Favourite

    Doughnut Percents

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

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

  • Two and Two
    problem
    Favourite

    Two and Two

    Age
    7 to 16
    Challenge level
    filled star filled star filled star

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

  • Summing Consecutive Numbers
    problem
    Favourite

    Summing Consecutive Numbers

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

    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
    Favourite

    Number Daisy

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

    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?

  • Reflecting Squarely
    problem
    Favourite

    Reflecting Squarely

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

    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • Shady Symmetry
    problem
    Favourite

    Shady Symmetry

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

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

  • Number Pyramids
    problem
    Favourite

    Number Pyramids

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

    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Consecutive Seven
    problem
    Favourite

    Consecutive Seven

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

    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
    Favourite

    Substitution Cipher

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

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

  • m, m and m
    problem
    Favourite

    M, M and M

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

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

  • Multiples Sudoku
    problem
    Favourite

    Multiples Sudoku

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

    Each clue in this Sudoku is the product of the two numbers in adjacent cells.

  • A glue stick with the lid off.
    problem
    Favourite

    Sticky Numbers

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

    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
    filled star empty star empty star

    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
    filled star empty star empty star

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

  • Changing areas, changing perimeters
    problem
    Favourite

    Changing Areas, Changing Perimeters

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

    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
    Favourite

    Magic Letters

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

    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
    Favourite

    Hidden Squares

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

    Can you find the squares hidden on these coordinate grids?

  • Perimeter Possibilities
    problem
    Favourite

    Perimeter Possibilities

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

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

  • About Average
    problem
    Favourite

    About Average

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

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

  • Cryptarithms
    problem
    Favourite

    Cryptarithms

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

    Can you crack these cryptarithms?

  • Add to 200
    problem
    Favourite

    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?

  • Perimeter Challenge
    problem
    Favourite

    Perimeter Challenge

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

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

  • Guess \my Quad
    problem
    Favourite

    Guess My Quad

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

    How many questions do you need to identify my quadrilateral?