Math puzzles here are number and arithmetic-reasoning problems — the answer comes out of a calculation or a chain of numeric logic, not a spatial arrangement like a zebra puzzle or a matching like a logic grid.
These aren't run through the constraint solver the site's logic-grid, zebra, and knights-&-knaves puzzles are — a numeric answer isn't the kind of thing that format proves unique — so they don't carry the ∎ verified badge. Some in this collection are reviewed and confirmed; others are still labeled as unreviewed imports until they've been checked by hand, and each card says which.
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At a banquet, there are 41 people including men, women, and children who altogether have to pay 40 pounds. Each man pays 4 pounds, each woman pays 3 pounds, and each child pays 4 pence. How many men, women, and children …
Three men each have a certain number of coins. The first man gives each of the other two men as many coins as they have. Then the second man gives each of the other two men as many coins as they have. Finally, the third …
If you want to weigh any quantity from 1 to 40 pounds using weights that increase in a triple proportion starting from 1, what weights do you need to use?
Three jealous husbands and their wives need to cross a river in a small boat that can only carry two people at a time. The condition is that no woman can be left alone with another man unless her husband is present. How …
Two friends have 8 pints of wine to share equally between them without any other means than three containers: one holds 8 pints, another holds 5 pints, and the last holds 3 pints. How can they divide the wine equally?
Find a number that when divided by 2 leaves a remainder of 1, when divided by 3 leaves a remainder of 2, when divided by 4 leaves a remainder of 3, when divided by 5 leaves a remainder of 4, when divided by 6 leaves a re…
A woman carrying a basket of eggs is bumped into and drops the basket, breaking all the eggs. When asked how many eggs she had, she replies that she doesn’t know for sure, but she remembers that when counted two by two, …
Two players take turns saying numbers starting from 1, where the highest number they can say is 10. Each player must add numbers that total up to exactly 100. The player who says the number that makes the total exactly 1…
You want to guess the total number of points shown on three dice thrown in a specific way. For instance, if the first throw shows 5, 2, and 1, you take the opposite points of the 5 and 1. These are 2 and 6, which add to …
Suppose you have a certain number of tokens in the right hand and another number in the left hand. If you transfer 8 tokens from the left hand to the right hand, and then transfer back one and a quarter times the number …
Choose two odd coprime numbers, one of which is a multiple of the other. Multiply one number by 3 and the other by 5, then find the sum. Determine if this total is influenced by the smaller number by checking if it divid…
Two players select one even number and one odd number. Multiply one player's number by 1 and the other's by 3, then sum the results. Check if the total is even or odd to discover which player chose the even number.