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 integers, or a random puzzle.


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Cryptic crossnumber #2

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


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