Year 3 Being resilient

  • Strike it out
    problem

    Strike it out

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

    Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

  • 4 Dom
    problem

    4 dom

    Age
    5 to 11
    Challenge level
    filled star filled star filled star

    Use these four dominoes to make a square that has the same number of dots on each side.

  • The Third Dimension
    problem

    The third dimension

    Age
    5 to 11
    Challenge level
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    Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

  • Buying a Balloon
    problem

    Buying a balloon

    Age
    7 to 11
    Challenge level
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    Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

  • Which Scripts?
    problem

    Which scripts?

    Age
    7 to 11
    Challenge level
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    There are six numbers written in five different scripts. Can you sort out which is which?

  • problem

    How many times?

    Age
    7 to 11
    Challenge level
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    On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

  • Square Corners
    problem

    Square corners

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

    What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

  • A Square of Numbers
    problem

    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?

  • problem

    Fifteen cards

    Age
    7 to 11
    Challenge level
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    Can you use the information to find out which cards I have used?

  • Build it up
    problem

    Build it up

    Age
    7 to 11
    Challenge level
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    Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

  • Roll these Dice
    problem

    Roll these dice

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

    Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

  • Domino Square
    problem

    Domino square

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

    Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

  • Amy's Dominoes
    problem

    Amy's dominoes

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

    Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

  • Finding Fifteen
    problem

    Finding fifteen

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

    Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

  • problem

    How much did it cost?

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

    Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.

  • problem

    This Pied Piper of Hamelin

    Age
    7 to 11
    Challenge level
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    Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

  • 5 on the clock
    problem

    5 on the clock

    Age
    7 to 11
    Challenge level
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    On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

  • Board Block Challenge
    problem

    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?

  • Dice in a Corner
    problem

    Dice in a corner

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

    How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

  • Consecutive Numbers
    problem

    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.

  • Sealed Solution
    problem

    Sealed solution

    Age
    7 to 14
    Challenge level
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    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?

  • Got It
    problem

    Got it

    Age
    7 to 14
    Challenge level
    filled star filled 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.

  • problem

    Inky cube

    Age
    7 to 14
    Challenge level
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    This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?