mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Frogs

Source: nrich
Two frogs and two toads are standing on five lily pads.
The frogs and toads need to pass each other. They can only move by jumping one or two lily pads forward. In jumping two pads forwards they can jump over other frogs or toads.
How many jumps need to be made to get the frogs and toads past each other?

Show answer & extension

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

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026