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Logical reasoning
This collection contains resources from the website 1001mathproblems.com by Sian Zelbo. The focus is on using logical reasoning in calculations, algebra and geometry.
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Same sum puzzle
Can students place the digits 1 to 4 on a grid so that equal sums are given along vertical and horizontal lines? How many different arrangements are possible? The resource also includes a further challenge for ‘experts’ that uses the numbers from 1 to 7 on an ‘H’ shaped grid.
Same sum puzzle 2
A grid is made by placing six circles around an equilateral triangle. The numbers 5 to 10 are to be placed on the grid so that the sum along each side of the triangle is the same.
Same-sum circles
In a diagram with three overlapping circles the numbers 1 to 8 have been placed so that the sum of the numbers in each circle is 12. Can students move the numbers so that the sum in each circle is 13? The resource includes further challenges such as making the largest sums possible and making every sum from 12 up...
The restaurant problem
This puzzle provides a gentle introduction to simultaneous equations. Three pictures are given that show different combinations of three items from a menu, together with the total price for each meal. The challenge is to work out the cost of each item.