mscroggs.co.uk
mscroggs.co.uk
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.

subscribe

Puzzles

Reverse bases

Find two digits \(a\) and \(b\) such that \(ab\) in base 10 is equal to \(ba\) in base 4.
Find two digits \(c\) and \(d\) such that \(cd\) in base 10 is equal to \(dc\) in base 7.
Find two digits \(e\) and \(f\) such that \(ef\) in base 9 is equal to \(fe\) in base 5.

Show answer & extension

Tags: numbers, bases
If you enjoyed this puzzle, check out Sunday Afternoon Maths VII,
puzzles about numbers, or a random puzzle.

Archive

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

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2019