Providence Day School · Founded 2026
MathQuest Weekly
We are the PD Math Club — we compete and strive for excellence in math.
Problem of the week
Currently open
A Staircase of Sums
Let S = 1 + 2 + 3 + ⋯ + n. Find every positive integer n < 500 for which S is a perfect square, and prove that your list is complete.
Need a nudge? Show hint
Write S in closed form. What does it mean for n(n+1)/2 to be a square, given that n and n+1 share no factors?
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What we do
Why people come back
Solve problems
Our Problem of the Week is a fun challenge that pushes your problem-solving skills and math knowledge, whatever level you are at.
Learn new skills
Our resources page and guest speaker events help you go further and take on tougher challenges.
Compete
We take part in the AMC 10 and AMC 12, and with enough support the Purple Comet — competitions that test your limits no matter how much you already know.
Everyone is welcome
Meeting day and time are announced at the start of the year. No sign-up, no tryout.
Every closed week stays online. Browse the archive to practise, or see the season standings.
Start solving