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 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2019