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 chess, 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

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

Archive

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