Number problems for upper primary that will get you thinking.

Measure problems for upper primary that will get you thinking.

Geometry problems for upper primary that will get you thinking.

Statistics problems for upper primary that will get you thinking.

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Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

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These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

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Dotty Six is a simple dice game that you can adapt in many ways.

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My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

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Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

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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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How many faces can you see when you arrange these three cubes in different ways?

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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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In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

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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?

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Use your logical reasoning to work out how many cows and how many sheep there are in each field.

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Use the information on these cards to draw the shape that is being described.

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Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

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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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This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

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Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

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

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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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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

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

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There are nasty versions of this dice game but we'll start with the nice ones...

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

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Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

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What can you see? What do you notice? What questions can you ask?

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How many moves does it take to swap over some red and blue frogs? Do you have a method?

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Who said that adding, subtracting, multiplying and dividing couldn't be fun?

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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 square.

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