Interactive activities

  • A Square of Numbers
    problem
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    A Square of Numbers

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

  • Fractional Triangles
    problem
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    Fractional Triangles

    Age
    7 to 11
    Challenge level
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    Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

  • An Easy Way to Multiply by 10?
    problem
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    An Easy Way to Multiply by 10?

    Age
    7 to 11
    Challenge level
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    Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

  • Diagonally Square
    problem
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    Diagonally Square

    Age
    7 to 11
    Challenge level
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    Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

  • Nine-Pin Triangles
    problem
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    Nine-Pin Triangles

    Age
    7 to 11
    Challenge level
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    How many different triangles can you make on a circular pegboard that has nine pegs?

  • Twice as Big?
    problem
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    Twice as Big?

    Age
    7 to 11
    Challenge level
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    Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

  • A wooden noughts and crosses game, with three crosses in a diagonal row.
    problem
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    First Connect Three

    Age
    7 to 11
    Challenge level
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    Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

  • An arrow target with three arrows sticking out of the centre section.
    problem
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    Four-Digit Targets

    Age
    7 to 11
    Challenge level
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    You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

  • Coded hundred square
    problem
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    Coded Hundred Square

    Age
    7 to 11
    Challenge level
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    This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

  • Times Tables Shifts
    problem
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    Times Tables Shifts

    Age
    7 to 11
    Challenge level
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    In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

  • Matching fractions
    problem
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    Matching Fractions

    Age
    7 to 11
    Challenge level
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    Can you find different ways of showing the same fraction? Try this matching game and see.

  • Shape Draw
    problem
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    Shape Draw

    Age
    7 to 11
    Challenge level
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    Use the information on these cards to draw the shape that is being described.

  • Seeing Parallelograms
    problem
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    Seeing Parallelograms

    Age
    7 to 11
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

  • Mystery Matrix
    problem
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    Mystery Matrix

    Age
    7 to 11
    Challenge level
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    Can you fill in this table square? The numbers 2-12 were used to generate it with just one number used twice.

  • problem
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    Take Your Dog for a Walk

    Age
    7 to 11
    Challenge level
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    Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

  • More Transformations on a Pegboard
    problem
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    More Transformations on a Pegboard

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

    Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

  • Light the Lights Again
    problem
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    Light the Lights Again

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

    Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

  • Seeing Rhombuses
    problem
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    Seeing Rhombuses

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

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • Quadrilaterals
    problem
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    Quadrilaterals

    Age
    7 to 11
    Challenge level
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    How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

  • Triangles all Around
    problem
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    Triangles All Around

    Age
    7 to 11
    Challenge level
    filled star filled star filled star

    Can you find all the different triangles on these peg boards, and find their angles?

  • Board Block Challenge
    problem
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    Board Block Challenge

    Age
    7 to 11
    Challenge level
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    Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

  • Dozens
    problem
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    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
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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?

  • missing multipliers
    problem
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    Missing Multipliers

    Age
    7 to 14
    Challenge level
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    What is the smallest number of answers you need to reveal in order to work out the missing headers?

  • 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?

  • 4 by 4 Mathdokus
    problem
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    4 by 4 Mathdokus

    Age
    7 to 14
    Challenge level
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    Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

  • problem
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    Factor Lines

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

    Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

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

  • Number Lines in Disguise
    problem
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    Number Lines in Disguise

    Age
    7 to 14
    Challenge level
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    Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

  • A cardboard carton of cherries.
    problem
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    Fruity Totals

    Age
    7 to 16
    Challenge level
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    In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

  • 5 by 5 Mathdokus
    problem
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    5 by 5 Mathdokus

    Age
    7 to 16
    Challenge level
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    Can you use the clues to complete these 5 by 5 Mathematical Sudokus?

  • Xavi's T-shirt
    problem
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    Xavi's T-Shirt

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

    How much can you read into a T-shirt?

  • Number Pyramids
    problem
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    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?

  • Tilted Squares
    problem
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    Tilted Squares

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

    It's easy to work out the areas of most squares that we meet, but what if they were tilted?