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 2020,
puzzles about unit fractions, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2020

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2021