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This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
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In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
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How would you find out how many football cards Catrina has collected?
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Sort the houses in my street into different groups. Can you do it in any other ways?
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Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
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Shapes are added to other shapes. Can you see what is happening? What is the rule?
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This box does something to the numbers that go into it. If you know the numbers that come out, what might be going on inside the box?
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What patterns can you make with a set of dominoes?
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How will you work out which numbers have been used to create this multiplication square?
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Can you spot the mistake in this video? How would you work out the answer to this calculation?
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In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?
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Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
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Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
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Annie and Ben are playing a game with a calculator. What was Annie's secret number?
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These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
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Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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Use the information about Sally and her brother to find out how many children there are in the Brown family.
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If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
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Follow the clues to find the mystery number.
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Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
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Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
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Can you place these quantities in order from smallest to largest?
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What happens when you add three numbers together? Will your answer be odd or even? How do you know?
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Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
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Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?
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A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
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This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
