Good thinkers are resourceful and reflective. They think critically and can explain and justify the choices that they make. They become absorbed in what they are doing and show attention to detail. They look back on what they have done in order to learn from both successes and failures.
How can you become more resourceful?
These problems require careful consideration. Immerse yourself in them and appreciate that the journey is often as important as the destination!
You can browse through the Number, Measures, Geometry or Statistics collections, or scroll down to see the full set of problems below.
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Being resourceful - Upper Primary number
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Being resourceful - Upper Primary measures
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Being resourceful - Upper Primary geometry
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Being resourceful - Upper Primary statistics
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Rolling that cube
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Shaping it
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Biscuit decorations
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Make 37
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?
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Number differences
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Shape times shape
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
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First connect three
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Cows and sheep
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Magic Vs
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
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Treasure hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
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Nice or nasty
There are nasty versions of this dice game but we'll start with the nice ones...
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Play to 37
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The remainders game
Play this game and see if you can figure out the computer's chosen number.
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Dicey operations
In these addition and subtraction games, you'll need to think strategically to get closest to the target.
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Square corners
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?
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It's a tie
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Four go
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Through the window
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
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Shapes on the playground
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Mystery matrix
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Factor lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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Same or different?
Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.
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Sponge sections
You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.
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Dice in a corner
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
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Two and two
How many solutions can you find to this sum? Each of the different letters stands for a different number.
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Square it
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 square.
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