mscroggs.co.uk
mscroggs.co.uk

subscribe

Sunday Afternoon Maths XXIII

 Posted on 2014-08-03 

Ten digit number

Can you create a 10-digit number, where the first digit is how many zeros in the number, the second digit is how many 1s in the number etc. until the tenth digit which is how many 9s in the number?

Show answer & extension

Tags: numbers

Mrs. Coldcream objected

"I object," said Councillor Mrs. Coldcream. "I see no reason why the boys should be so favoured at the expense of the girls."
This was at a meeting of the Holmshire Education Committee. It had been proposed to award 19 scholarships totalling £1000 to boys and girls of the county. It had been proposed that each girl receive a set amount and each boy receive £30 more than each girl.
Mrs. Coldcream pressed her point with such fervour that it was decided to reallocate the money. Each girl would receive £8 more than originally proposed, with the boys' scholarships scaled down accordingly.
How much did each boy and each girl receive?

Show answer & extension

Tags: numbers

Cooked turkey

An old invoice showed that seventy-two turkeys had been purchased for "—67.9—". The first and last digits were illegible.
How much did one turkey cost?

Show answer & extension

Tags: numbers

Let the passenger train through!

A goods train, made up of a locomotive and 5 trucks, stops at a small station. The small station has a siding which the goods train can reverse into. The siding can hold an engine and two trucks or three trucks.
A passenger train arrives travelling in the opposite direction. How can they let it through? (The passenger train is too long to fit in the siding.)

Show answer & extension

If you enjoyed these puzzles, check out Advent calendar 2023,
puzzles about circles, 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

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

Archive

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