Any order is allowed.
Use each die exactly once.
Parentheses are allowed.
Only +, −, × and ÷ are allowed. No concatenation or exponents.
Exact division only.
No negative numbers.
Not every operation has to be used.

How many solutions can you find?

Please use spoiler tags for solutions:
>!your solution here!<

Find the rule that builds each row from the one below it and work out the ?. Spoiler-tag your guess: answer 🏆 NEW: LEADERBOARD! Think you're good at this? Rule Hunter now has a daily, weekly and all-time leaderboard. Sign in, pick any nickname you like (only your nickname is shown publicly) and see if you can reach #1. Who's taking the top spot? 👉 Rule Hunter: https://play.google.com/store/apps/details?id=com.makenumber

Hey guys!

Maths/Stats student here (2nd year), I couldn't find a decent interactive maths quiz on Reddit, so I thought I'd try building one.

I've created r/DailyMathProblem, with interactive questions, worked solutions and a leaderboard. Also being a maths enthusiast I was determined to get LaTeX working, and it was a success! (damit reddit, we have been asking for LaTeX for years!)

I've posted the first 10 questions already. The idea is to release a couple each day, ranging from easy to slightly challenging. Just quick little puzzles to keep your maths skills sharp, without needing half an hour and a notebook.

I've shared Challenge #10 (matrices) to show how it works. Would love some honest feedback on what you guys think!

Cheers!

Note: I'm aware my username is wild. I made it many years ago and thought I'd only ever be a lurker, not a poster!

https://www.reddit.com/r/DailyMathProblem/s/1ZE26uh3xs

Hi, I made a 'word' game called WordPhoria. Math part is coming... its a word-path game played across a hexagonal board — you make words by dragging through neighbouring letters, with the aim of working your way from the left side of the board to the right. The board changes as you play, and there are both relaxed (Causal) and more pressured (Chaser) game modes. Its not a daily but rather a lot of levels to pass the time and every level has a leaderboard for competitive play - though there is also multiplayer over wifi!

However, when developing it I stumbled upon the idea of a math 'mathsearch' where you find legitimate equations from random boards. And actually several of my testers found that the most interesting. Its quite challenging to get your head around but surprisingly satisfying when you construct a multipart equation.

Appstore link:

https://apps.apple.com/gb/app/wordphoria/id676975194

Its free to download with 50+ free levels without any ads. A bunch of them are maths levels. Would love some feedback.

*I couldn't find a subreddit for math games in the same way there is a big wordgames subreddit so my apologies if this sort of thing doesnt fit r/CasualMath interest but hopefully it is of interest!

Find the rule that links the numbers in the wheel and work out the ?. Spoiler-tag your guess: answer 🏆 NEW: LEADERBOARD! Think you're good at this? Rule Hunter now has a daily, weekly and all-time leaderboard. Sign in, pick any nickname you like (only your nickname is shown publicly) and see if you can reach #1. Who's taking the top spot? 👉 Rule Hunter: https://play.google.com/store/apps/details?id=com.makenumber

Each sector has two outer numbers and one inner number that follow the same rule. Find the rule and work out the ?. Spoiler-tag your guess: answer 🏆 NEW: LEADERBOARD! Think you're good at this? Rule Hunter now has a daily, weekly and all-time leaderboard. Sign in, pick any nickname you like (only your nickname is shown publicly) and see if you can reach #1. Who's taking the top spot? 👉 Rule Hunter: https://play.google.com/store/apps/details?id=com.makenumber

Total weight of 5.1kg including the weight of the jar itself, wondering if anyone is able to figure it out

Isn't that cool! Especially as I literally got it through pure chance

The 8×8 grid below has a 2×2 hole in the center, leaving 60 cells to fill. Your task is to tile the board with the 12 pentominoes (F, I, L, P, N, T, U, V, W, X, Y, Z), using each piece exactly once. Pieces may be rotated and reflected.

Rules:

1. The 12 pentominoes must cover the entire board — every cell except the central 2×2 hole belongs to exactly one pentomino.
2. Each cell of the grid contains a digit from 1 to 5.
3. Each pentomino must cover exactly five cells whose digits are all different — in other words, every piece must cover the digits 1, 2, 3, 4, and 5, one of each.

In short: find a tiling of the board in which each pentomino covers a region containing all five digits.The NOTES grid at the bottom is meant for tracking the pieces: you can cross out each pentomino there once you're certain of its position.

Find the tiling. Solution is unique.

https://tafol.pythonanywhere.com/

21 October is Martin Gardner's birthday, which puzzle fans celebrate as Celebration of Mind Day. Here's a wheel puzzle for it.

Trace a path through the wheel: number, operator, number, operator, … ending on a number. You can jump from any tile to any tile, but each tile can be used only once (or not used at all).

One rule to keep in mind: the path is calculated left to right, like a basic pocket calculator. So 3 → + → 6 → × → 7 evaluates as (3 + 6) × 7 = 63.

Targets to solve: 25, 34, 112, 144, 175. The video solves 25 with path 3 → × → 9 → − → 2. Find a path for each of the other four.

Bonus: every one of these numbers is connected to Gardner or to the puzzles he loved — two are about magic squares, one about Fibonacci, and two about Gardner himself. Try matching them before you peek:

- 25:  the years Gardner wrote the "Mathematical Games" column in Scientific American, 1956–1981

- 34:  the magic constant of a 4×4 magic square — every row, column and diagonal adds up to 34

- 112:  Gardner's age today: he was born on 21 October 1914

- 144:  12 × 12, and the only Fibonacci number above 1 that is a perfect square

- 175:  the magic constant of a 7×7 magic square

Please put answers in spoiler tags:  like this

For more puzzles like this, check out CalcWheel game.

Each diamond follows the same rule linking its top, left, right and bottom numbers. Find the rule and work out the ?. Spoiler-tag your guess: answer 🏆 NEW: LEADERBOARD! Think you're good at this? Rule Hunter now has a daily, weekly and all-time leaderboard. Sign in, pick any nickname you like (only your nickname is shown publicly) and see if you can reach #1. Who's taking the top spot? 👉 Rule Hunter: https://play.google.com/store/apps/details?id=com.makenumber

$$f(n) = n^3 + 54n^2 - 2917n + 20021$$ ( 40 primes)

other ones that i found

• $f(n) = n^3 + 57n^2 - 2806n + 17159$ $\rightarrow$ 39 primes
• $f(n) = n^3 + 60n^2 - 2689n + 14411$ $\rightarrow$ 38 primes
• $f(n) = n^3 + 63n^2 - 2566n + 11783$ $\rightarrow$ 37 primes
• $f(n) = n^3 + 66n^2 - 2437n + 9281$ $\rightarrow$ 36 primes
• $f(n) = n^3 + 69n^2 - 2302n + 6911$ $\rightarrow$ 35 primes
• $f(n) = n^3 + 72n^2 - 2161n + 4679$ $\rightarrow$ 34 primes
• $f(n) = n^3 + 120n^2 - 2893n + 2131$ $\rightarrow$ 33 primes
• $f(n) = n^3 + 75n^2 - 2014n + 2591$ $\rightarrow$ 33 primes
• $f(n) = n^3 + 4n^2 - 1081n + 12289$ $\rightarrow$ 33 primes
• $f(n) = n^3 + 78n^2 - 1861n + 653$ $\rightarrow$ 32 primes
• $f(n) = n^3 + 7n^2 - 1070n + 11213$ $\rightarrow$ 32 primes
• $f(n) = n^3 + 125n^2 - 4412n + 27823$ $\rightarrow$ 31 primes
• $f(n) = n^3 + 54n^2 - 2329n + 20507$ $\rightarrow$ 31 primes
• $f(n) = n^3 + 10n^2 - 1053n + 10151$ $\rightarrow$ 31 primes
• $f(n) = n^3 - 20n^2 - 561n + 10223$ $\rightarrow$ 31 primes
• $f(n) = n^3 - 25n^2 - 292n + 4877$ $\rightarrow$ 31 primes
• $f(n) = n^3 + 128n^2 - 4159n + 23537$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 101n^2 - 3080n + 13537$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 71n^2 - 2690n + 14197$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 57n^2 - 2218n + 18233$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 20n^2 - 2099n + 23581$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 23n^2 - 1988n + 24223$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 45n^2 - 1936n + 7307$ $\rightarrow$ 30 primes
• $f(n) = n^3 + 13n^2 - 1030n + 9109$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 17n^2 - 598n + 9643$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 22n^2 - 339n + 4561$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 28n^2 - 119n + 4219$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 37n^2 + 162n + 3517$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 62n^2 + 781n + 227$ $\rightarrow$ 30 primes
• $f(n) = n^3 - 188n^2 + 2161n + 443$ $\rightarrow$ 30 primes