Volume 58
, Issue 1

2022

Dear Readers, mathematical problems are all around us! As Problem Editor, one of the things I most enjoy is setting problems in which ordinary everyday life leads to interesting mathematics.

This paper presents new inequalities related to the foci of hyperbola.

This article will outline how a batting survival function can be constructed from simple building blocks of the probability of being dismissed at each run total, and the probability of scoring a particular number of runs.

The Butterfly Theorem is an elegant result on chords of a circle, dating back to the early nineteenth century. We present the generalization of the theorem for $n$ circles.

I calculate the strength of the magnetic field that a person may experience if he or she were to stand below a set of transmission power
lines. My paper only uses algebra and trigonometry.

Knotwork is a very mathematical form of decoration which has been used in many cultures, including Roman mosaics, Islamic art, Celtic art and Ethiopian art. In this article, I will show you the basic technique and discuss a couple of mathematical points along the way.

Kelly posited a scenario in which a horse-race better has an edge: a ‘private wire’ of somewhat reliable but not perfect tips from inside information. How should he bet? Wager too little, and the advantage is squandered. Too much, and ruin beckons.

In this article, we develop an interesting way to visualize the second and the third derivatives of single variable functions.

This article demonstrates a popular result from plane geometry known as Haruki’s Lemma in an unorthodox way.

Q1679 David is designing a tiling pattern for his rectangular bathroom floor. Most people have tilings which consist of rectangles or hexagons, but David thinks this is boring, so he has decided to use pentagons.

Q1664 Let $a,b,c,d$ be four prime numbers for which $5 < a < b < c < d < a + 10$.
Prove that $60$ is a factor of $a + b + c + d$ but $120$ is not.