Conjecturing and generalising
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problemA three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why? -
problemNext-Door Numbers
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
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problemLogic Block Collections
What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?
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problemUnit Differences
This challenge is about finding the difference between numbers which have the same tens digit.
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problemUnexpected Ordering
Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?
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gameStop the Clock for Two
Stop the Clock game for an adult and child. How can you make sure you always win this game?
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problemSimple Train Journeys
How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?
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problemHoles
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
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problemFit These Shapes
What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?