mscroggs.co.uk
mscroggs.co.uk

subscribe

Sunday Afternoon Maths XXX

 Posted on 2014-10-05 

No change

"Give me change for a dollar, please," said the customer.
"I'm sorry," said the cashier, "but I can't do it with the coins I have. In fact, I can't change a half dollar, quarter, dime or nickel."
"Do you have any coins at all?" asked the customer.
"Oh yes," said the cashier, "I have $1.15 in coins."
Which coins are in the cash register?
(The available coins are 50¢, 25¢, 10¢ 5¢ and 1¢.)

Show answer & extension

Tags: money

Dirty work

Timothy, Urban, and Vincent are digging identical holes in a field.
When Timothy and Urban work together, they dig 1 hole in 4 days.
When Timothy and Vincent work together, they dig 1 hole in 3 days.
When Urban and Vincent work together, they dig 1 hole in 2 days.
Working alone, how long does it take Timothy to dig one hole?

Show answer & extension

Square in a triangle

Source: Maths Jam
A right-angled triangle has short sides of length \(a\) and \(b\). A square is drawn in the triangle so that two sides lie on the sides of the triangle and a corner lies on the hypotenuse.
What is the length of a side of the square?

Show answer & extension

If you enjoyed these puzzles, check out Advent calendar 2024,
puzzles about sport, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025