Sunday Afternoon Maths LXV

 Posted on 2018-05-13 

Cryptic crossnumber #1

In this puzzle, the clues are written like clues from a cryptic crossword, but the answers are all numbers. You can download a printable pdf of this puzzle here.
1 2
3 4

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Breaking Chocolate

You are given a bar of chocolate made up of 15 small blocks arranged in a 3×5 grid.
You want to snap the chocolate bar into 15 individual pieces. What is the fewest number of snaps that you need to break the bar? (One snap consists of picking up one piece of chocolate and snapping it into two pieces.)

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Square and cube endings

Source: UKMT 2011 Senior Kangaroo
How many positive two-digit numbers are there whose square and cube both end in the same digit?

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If you enjoyed these puzzles, check out Advent calendar 2019,
puzzles about circles, or a random puzzle.


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area balancing means coordinates money squares shapes digits irreducible numbers odd numbers triangle numbers circles surds quadratics ellipses sequences calculus the only crossnumber gerrymandering dates proportion logic trigonometry ave books folding tube maps sport dice floors multiplication percentages factors advent range crossnumber planes multiples polygons chess rectangles complex numbers wordplay 2d shapes christmas cards elections differentiation dominos spheres products shape number parabolas volume coins clocks crossnumbers colouring fractions sum to infinity angles partitions rugby integers hexagons averages cryptic clues grids numbers arrows square roots people maths taxicab geometry time cryptic crossnumbers star numbers symmetry prime numbers 3d shapes probability algebra graphs doubling cube numbers perfect numbers menace tiling speed median unit fractions chocolate addition perimeter dodecagons scales chalkdust crossnumber functions crosswords palindromes factorials geometry digital clocks bases probabilty lines routes mean sums integration pascal's triangle regular shapes square numbers indices division games triangles remainders


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