mscroggs.co.uk
mscroggs.co.uk

subscribe

Sunday Afternoon Maths LIII

 Posted on 2016-05-29 

Lots of ones

Is any of the numbers 11, 111, 1111, 11111, ... a square number?

Show answer

An integral

Source: Alex Bolton (inspired by Book Proofs blog)
What is
$$\int_0^{\frac\pi2}\frac1{1+\tan^a(x)}\,dx?$$

Show hint


Show answer & extension

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

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

Archive

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