mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2019

10 December

For all values of \(x\), the function \(f(x)=ax+b\) satisfies
$$8x-8-x^2\leqslant f(x)\leqslant x^2.$$
What is \(f(65)\)?
Edit: The left-hand quadratic originally said \(8-8x-x^2\). This was a typo and has now been corrected.

Show answer

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020