List

Number Operations and Calculation Methods

Consecutive Numbers
problem
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Consecutive Numbers

Age
7 to 14
Challenge level
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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Can you Make 100?
problem
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Can you Make 100?

Age
11 to 14
Challenge level
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How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
Where can we visit?
problem
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Where can we visit?

Age
11 to 14
Challenge level
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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?
Two and Two
problem
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Two and Two

Age
7 to 16
Challenge level
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How many solutions can you find to this sum? Each of the different letters stands for a different number.

Number Daisy
problem
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Number Daisy

Age
11 to 14
Challenge level
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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?
Remainders
problem
Favourite

Remainders

Age
7 to 14
Challenge level
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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Largest product
problem
Favourite

Largest product

Age
11 to 14
Challenge level
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Which set of numbers that add to 100 have the largest product?
Cinema Problem
problem
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Cinema Problem

Age
11 to 14
Challenge level
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A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

Consecutive Seven
problem
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Consecutive Seven

Age
11 to 14
Challenge level
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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?
Method in multiplying madness?
problem
Favourite

Method in multiplying madness?

Age
7 to 14
Challenge level
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Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
The Remainders Game
game
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The Remainders Game

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

Countdown
game
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Countdown

Here is a chance to play a version of the classic Countdown Game.

Going round in circles
problem
Favourite

Going round in circles

Age
11 to 14
Challenge level
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Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
missing multipliers
problem
Favourite

Missing Multipliers

Age
7 to 14
Challenge level
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What is the smallest number of answers you need to reveal in order to work out the missing headers?
Cryptarithms
problem
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Cryptarithms

Age
11 to 14
Challenge level
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Can you crack these cryptarithms?
Impossibilities
problem
Favourite

Impossibilities

Age
11 to 14
Challenge level
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Just because a problem is impossible doesn't mean it's difficult...

Overlaps
problem
Favourite

Overlaps

Age
11 to 14
Challenge level
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Can you find ways to put numbers in the overlaps so the rings have equal totals?