Working systematically
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problemMagic Error
Two of the numbers in a 4×4 magic square have been swapped. Can you work out the sum of these numbers?
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problemIsometric Rhombuses
Weekly Problem 31 - 2016
The diagram shows a grid of $16$ identical equilateral triangles. How many rhombuses are there made up of two adjacent small triangles? -
problemHalf and Half
Two of the four small triangles are to be painted black. In how many ways can this be done?
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problemMultiplication Table Puzzle
In the multiplication table on the right, only some of the numbers have been given. What is the value of A+B+C+D+E?
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problemMaster Minding
Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?
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problemPattern of Islands
In how many distinct ways can six islands be joined by bridges so that each island can be reached from every other island...
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problemSo Many Sums
In this addition each letter stands for a different digit, with S standing for 3. What is the value of YxO?
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problemBlockupied
A 1×2×3 block is placed on an 8×8 board and rolled several times.... How many squares has it occupied altogether?