Explaining, convincing and proving
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problemSo It's Times!
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
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problemAir Nets
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
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problemAdding All Nine
Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!
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problemWinning Team
Nine cross country runners compete in a team competition in which there are three matches. If you were a judge how would you decide who would win?
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problemGreetings
From a group of any 4 students in a class of 30, each has exchanged Christmas cards with the other three. Show that some students have exchanged cards with all the other students in the class. How many such students are there?
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problemCoins on a Plate
Points A, B and C are the centres of three circles, each one of which touches the other two. Prove that the perimeter of the triangle ABC is equal to the diameter of the largest circle.