Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10 More Levels Instructions

The numbers in the circles add up to the numbers
in the rectangles between them.

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By working through these challenges you will discover the hidden secrets of Arithmagons. You will find the connections between the numbers in rectangles and the numbers in circles and in doing so develop strategies for solving the more difficult Arithmagon puzzles.

This activity is suitable for pupils of a wide range of abilities. It provides purposeful numeracy practice and levels that are a multiple of four (Level 4, Level 8, Level 12 etc.) encourage pupils to devise efficient solving strategies.

If your pupils do not have access to computers there is a printable set of Arithmagon worksheets here:

If you like Arithmagons you might also like these activities:

Challenge Numskull Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills. The short web address is: Transum.org/go/?to=numskull

Numeracy Brainbox Arrange numbers on the function machines to link the given input numbers to the correct output. The short web address is: Transum.org/go/?to=brainbox

Puzzle Pentadd Quiz Find the five numbers which when added or multiplied together in pairs to produce the given sums or products. The short web address is: Transum.org/go/?to=pentadd

There are many more puzzles on the Transum Puzzle page.

Do you know the origin of the title 'Arithmagons'? This activity has been used in schools for many years but who is the person we should thank for dreaming up the idea?

Still looking for a challenge? Try one of these activities:

Ming Game Suko Sujiko Interactive number-based logic puzzles similar to those featuring in daily newspapers. The short web address is: Transum.org/go/?to=suko

Challenge Satisfaction This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers. The short web address is: Transum.org/go/?to=satisfaction

Suggested Magic Square Puzzle Find all of the possible ways of making the magic total from the numbers in this four by four magic square. The short web address is: Transum.org/go/?to=magicsquarepuzzle

There are many more puzzles on the Transum Puzzle page.

Levels

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	◯ ◯ ◯	◯ ◯ ▭	◯ ▭ ▭	▭ ▭ ▭
1	Level 1	Level 2	Level 3	Level 4
5	Level 5	Level 6	Level 7	Level 8
9	Level 9	Level 10	Level 11	Level 12

	◯ ◯ ◯	◯ ◯ ▭	◯ ▭ ▭	▭ ▭ ▭
13	Level 13	Level 14	Level 15	Level 16
17	Level 17	Level 18	Level 19	Level 20
21	Level 21	Level 22	Level 23	Level 24

	◯ ◯ ◯	◯ ◯ ▭	◯ ▭ ▭	▭ ▭ ▭
25	Level 25	Level 26	Level 27	Level 28
29	Level 29	Level 30	Level 31	Level 32
33	Level 33	Level 34	Level 35	Level 36

	◯ ◯ ◯	◯ ◯ ▭	◯ ▭ ▭	▭ ▭ ▭
37	Level 37	Level 38	Level 39	Level 40
41	Level 41	Level 42	Level 43	Level 44
45	Level 45	Level 46	Level 47	Level 48

Choose Your Own Options:

Single digit numbers in circles Two digit numbers Decimals Positive and negative numbers Addition Multiplication Subtraction Given 3 circle values only 2 circle values and 1 rectangle value 1 circle value and 2 rectangle values 3 rectangle values only Confirm

Instructions

The first Arithmagon you will see is a triangle with three circles at its vertices and rectangles on its sides. The idea is to add up the two numbers in circles at either end of a side of a triangle and type the answer into the rectangle on the middle of that side.

Click the check button when you have filled in all three rectangles. If you are correct you will see one slice of a pie chart showing your progress so far. Complete eight Arithmagons to earn a Transum Trophy.

This first level you should find very easy. It gets more difficult when you are not given the three circle numbers but are given the rectangle numbers instead. That’s when you need to come up with a strategy!

You are currently working on Level 42: Two positive or negative numbers given in circles and one number shown in a rectangle. Rectangle numbers are the product of the two adjacent circle numbers.

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