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


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


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