mscroggs.co.uk
mscroggs.co.uk

subscribe

Sunday Afternoon Maths XVI

 Posted on 2014-06-08 

Pocket money

When Dad gave out the pocket money, Amy received twice as much as her first brother, three times as much as the second, four times as much as the third and five times as much as the last brother. Peter complained that he had received 30p less than Tom.
Use this information to find all the possible amounts of money that Amy could have received.

Show answer & extension

Tags: numbers, money

Always a multiple?

Source: nrich
Take a two digit number. Reverse the digits and add the result to your original number. Your answer is multiple of 11.
Prove that the answer will be a multiple of 11 for any starting number.
Will this work with three digit numbers? Four digit numbers? \(n\) digit numbers?

Show answer & extension

If you enjoyed these puzzles, check out Advent calendar 2023,
puzzles about chalkdust crossnumber, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024