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?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths LXV,
puzzles about square numbers, or a random puzzle.


Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020