Creating and manipulating expressions and formulae
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problemWhat is the ratio of the area of a square inscribed in a semicircle to the area of the square inscribed in the entire circle? -
problemChocolate Maths
Pick the number of times a week that you eat chocolate. This number must be more than one but less than ten. Multiply this number by 2. Add 5 (for Sunday). Multiply by 50... Can you explain why it works?
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problemWhy 8?
Choose any four consecutive even numbers. Multiply the two middle numbers together. Multiply the first and last numbers. Now subtract your second answer from the first. Try it with your own numbers. Why is the answer always 8?
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problemMore Mathematical Mysteries
Write down a three-digit number Change the order of the digits to get a different number Find the difference between the two three digit numbers Follow the rest of the instructions then try to explain why this works.
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problemNo Matter
After performing some operations, what number is your answer always a multiple of?
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problemMultiply the Addition Square
If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
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problemCarry Over
Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?
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