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Showing posts from January, 2022

Flipping a fair coin

I flip a fair coin that has the number 3 on one side and the number 7 on the other side. At the same time a roll a fair four sided dice that has the numbers 1 to 4 on it. Then I add the two numbers. If I do this 50 times how many times would you expect me to get a total of 7?

A rectangle's area

A rectangle has perimeter 32cm. The rectangle is three times as long as it is wide. What is the area of the rectangle

John's Vacation

John came home from his vacation at his grandmother’s with 5 books. While he was away he bought 2 books at the bookshop and got 1 book as a present from his grandmother. During his stay at his grandmother’s, he also gave his cousin 4 books that he had finished. How many books did he take with him when he left for his holiday?

Truths and Lies

Georgia always tell the truth. She says : my number  is between 10 and 100 ; my number has a larger tens digit than units digit ; my number is odd ; my number is a multiple of 29 . What is Georgia's number? Atlanta  never tells the truth. She says: my number is greater than 100 ;  my number is not a multiple of 10 ; my number does not divide exactly by 3 ; my number has a remainder  when it is divided by 4. What is Atlanta's number?

Largest perimeter and smallest area

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(a) Put a cross in the shape with the largest perimeter  (b) Put a ring around the shape with the smallest area.

What number

Sam thinks of a number, multiplies it by 2 and then adds 11. The answer he gets is 29. What number did he think of? Julia thinks of a number, multiplies it by 5, adds 11 and then divides it by 2. She gets the answer 28. What number did she think of?