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### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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### Can you Make 100?

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

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### Where can we visit?

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

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### Two and Two

How many solutions can you find to this sum? Each of the different letters stands for a different number.

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### Number Daisy

Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?

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### Remainders

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

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### Cinema Problem

A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

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### Consecutive Seven

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

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### Method in multiplying madness?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

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### The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

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### Going round in circles

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

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### Missing Multipliers

What is the smallest number of answers you need to reveal in order to work out the missing headers?

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### Impossibilities

Just because a problem is impossible doesn't mean it's difficult...

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### Overlaps

Can you find ways to put numbers in the overlaps so the rings have equal totals?