Questions tagged [calculation-puzzle]

A puzzle that involves numerical calculations, such as multiplication and addition.

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4
votes
2answers
467 views

Lionel Messi's soccer puzzle

Lionel Messi sentimentally remembers a small soccer tournament in which he participated many years ago. There were four teams in the tournamnent: Atleticolino, Barcelino, Chicorrotico and Diminuto. ...
3
votes
1answer
178 views

A Chuck-a-luck variant

You're thinking of trying a variant of Chuck-a-luck. In this variant, you choose one number in the range $1$ to $6$ and five dice are rolled. These are the payouts: ...
5
votes
3answers
647 views

First to Five Points

The Problem: There are two players. Each player writes a number, hidden from the other player. It can be any integer 1 or greater. The players reveal their numbers. Whoever chose the lower number ...
17
votes
3answers
2k views

A puzzle about baking 88 pies

You surely remember that one of my grandmothers really hates mathematics (How do I convince my grandmother?). Yesterday I visited my other grandmother who really loves mathematics. She was in the ...
12
votes
3answers
3k views

A new six-sided die

Enrico wants to construct a new six-sided die with the following properties: Each side should show a positive integer Different sides should show different integers If two sides share an edge, then ...
5
votes
3answers
3k views

Express the number $2015$ using only the digit $2$ twice

Can you use only two instances of the digit $2$, along with the mathematical operations below, to create an expression that evaluates to $2015$? Allowed operations: arithmetic operations: addition ($...
2
votes
5answers
648 views

Largest number with five 1's and five numeric operations [closed]

You have five 1's at your disposal, together with five arithmetic operations of your choice. However, as you only have five operations, you should choose them wisely. Question: What is the largest ...
4
votes
1answer
567 views

May the fours be with you!

In the picture above, all the numbers 1-12 are given, using only three nines. Now, I want to make a similar watch, but using fours instead of nines. Can you make a list of the numbers 1-12 using ...
1
vote
4answers
478 views

What is the solution of the last operation?

Each symbol represents a number between 0 and 9. You need found the number which is the solution to the last operation. The two triangles in the first operation and the triangle and the rectangle of ...
2
votes
1answer
413 views

Whose lock is lock-ier?

Two friends, Amy and Ben, each use a three-disk combination lock to secure their bikes. Each disk has $10$ orientations, with integers $0$ to $9$, so there are $10^3$ possible combinations. One day, ...
3
votes
6answers
3k views

Alignment of planets that orbit at different speeds [closed]

If a planet completes its circle around the sun in 120 years and another planet in 70 years then when will they come in a straight line as if they are now?
5
votes
1answer
742 views

Shuffling Cards

I was just thinking about this. Let's say that we have a card deck with 54 cards and the $n$th card from the top is flipped. We repeat a short process of cutting the deck directly in the middle and ...
8
votes
4answers
2k views

Travellers across a desert

This is a problem I once found in a math textbook a tutor used with me. A group of explorers is trying to get from their base camp to another camp which is eight days' walk through the desert. ...
12
votes
1answer
857 views

Ernie and the Bubbles of Lucretia

"So, what do you know about milking spiders?", asked Ernie as he passed a fresh cup of coffee to me. Good grief!, I thought and gave an involuntary shudder as I glanced at the milk jug sitting ...
8
votes
2answers
1k views

The Magician's Card Game

A magician by the name of Jason carries a deck of cards with him everywhere he goes. He has a game where you can say any phrase and a specific card will correspond with that phrase. The goal of the ...
11
votes
8answers
2k views

The 8 year old politician?

If I am on top politically, I am right, but if I am on top of being not in violation, I am wrong. If I am above 8, I am wrong, but if I am low on being not in violation, I am forever. I cannot be ...
4
votes
1answer
2k views

Is there a general strategy for decoding Brainfuck mutations?

There are many Brainfuck variations used in puzzles in geocaching, for example Ook! They are usually not so hard to decode because they are 'standards' - therefore the substitution is googlable, there ...
4
votes
2answers
554 views

Another Way to Count Sheep At Night in Bed

I came across this puzzle: A wayfarer asks a shepherd how many sheep he has. He replies that if he numbered them two and two, or three and three, or four and four, or five and five, or six and six, ...
13
votes
2answers
2k views

Directions on an infinite compass rose

An old sailor, by the name of John, was in his attic with his bright young great-nephew Stewart, showing him all the old tools they used to use while at sea. Stewart was fascinated by all the ...
30
votes
2answers
3k views

Ernie and the Alchemist's Gift

For Ernie, the task of choosing Christmas presents for his friends is always a struggle. I think that is because, while he finds it easy to solve problems relating to machines, mathematics, and ...
15
votes
1answer
939 views

Ernie and the Artificial Emmental

I dropped in on Ernie last week to help him prepare for his annual hosting of the Wine and Cheese Club party. This was a special occasion because the invited guest was the famous oenophile and ...
14
votes
2answers
1k views

All Words Go to Heaven?

In the fantasy world of this puzzle, Heaven has 7 levels (1 to 7), with 7 being God's level. Hell has 8 levels (-1 to -8), with -8 being Satan's level. Purgatory (0) is somewhere in between. Your ...
5
votes
2answers
301 views

Paying an unusual toll to the troll

You approach a bridge and see a troll. He throws down finite $n>0$ bags. Each bag, $B_i$, contain 1 or more of 4 possible buttons. $B_i$ contains $S_i \subseteq \{green, red, blue, yellow\} \land ...
5
votes
3answers
370 views

Monkey on a Flagpole [closed]

A 3 feet tall, hungry monkey is trying a reach a magical banana placed on top of a flagpole. The flagpole is 25 feet in height and is slippery to grasp. Every Odd numbered Jump, the monkey climbs 3 ...
-6
votes
2answers
169 views

mensateaser [level 0] (part 1)

What should be the value of the bottom row in our Euro 2012 Football themed grid?
8
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3answers
2k views

Baumic Numbers!

I have a class of numbers; this class of numbers contains a certain number if and only if it is baumic. The following are baumic numbers: 1, 6, 9, 15, 20, 21, 30, 33, 39, 45, 50, 51, 56, 57, 69, 70,...
8
votes
1answer
558 views

What's Jeremy's Encryption Algorithm?

As a result of their solutions to this puzzle, store owner Jeremy promoted both Cerberus and Quark to top managerial positions. Soon after starting their new roles, they were somewhat surprised when ...
5
votes
3answers
2k views

A Sand Timer Challenge

Which (if any) of these intervals is it possible to measure given two sand timers (which change from question to question)? There are no minute marks, halfway points, etc. A. 7 minutes with 4- and 5-...
19
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5answers
2k views

What is a Surpassing Phrase™?

If a phrase conforms to a certain rule, I call it a Surpassing Phrase™. Use the examples below to find the rule. Some details to save you time: 1. Font doesn't matter. 2. The number of words ...
3
votes
0answers
134 views

Minimum number of telephone calls needed to exchange information [duplicate]

There are 16 secret agents who each know a different piece of secret information. They can telephone each other and exchange all the information they know. After the telephone call, they both know ...
-1
votes
1answer
1k views

Cryptic Woman and a Confused Census-Taker [duplicate]

I recently found a card on which there were two puzzles, both of which have me stumped; I want to spend a little more time on the other puzzle, but here is one that stumps me: no 65 A census-...
0
votes
2answers
350 views

Race of the century

Four drivers face off in the race of the century. The path of the race follows this layout: 100 KM road with a sharp turn every 5 KM 50 KM straight road 50 KM straight river 40 KM upstream river 40 ...
1
vote
3answers
11k views

Can you solve this math problem

If these are true : 5 + 3 = 158 9 + 1 = 910 8 + 6 = 4814 4 + 4 = 168 then 7 + 3 = ??
5
votes
4answers
652 views

A tour of 36 cities

Each of 4 people is touring 36 cities separately. Each of the 36 squares in the illustration below represents a city. To make the answers shorter, each city has been given a 1-character name, from A-Z,...
7
votes
4answers
2k views

A Threes Of Cake

This question is similar to my other question Twos For Thought, which arguably was a better pun but I decided to recreate the question, except with threes! How many threes do you need to get to the ...
-4
votes
2answers
212 views

Using numbers form a number

Using 7,8,9 and basic mathematical operations form the number 327600. Use every digit exactly once. Note: Allowed Operations: $+,-,/,*, {}^{\displaystyle\large\hat{}} ,!,\sqrt{}$
4
votes
4answers
575 views

Twos For Thought

How many twos do you need to get to the number $100$ exactly? Example: $22+22+22+22+2^2+2^2+2^2$ This example method uses 14 twos and is obviously not ideal. Can you find a way that uses the least ...
2
votes
2answers
469 views

The problem of the hired hands' work rates [closed]

A farmer is looking to hire some hired hands. His usual three hires are named Barry, Harry, and Larry. He knows from hiring them before that: Working together, Barry and Harry can plow an acre in ...
0
votes
3answers
481 views

What happened to the missing £10? [duplicate]

I have come across a puzzle, which makes no sense. Does anyone know the answer to the below? You and two friends go on holiday. When checking out, the total bill comes to £300. You pay the bill ...
3
votes
1answer
693 views

Decrypt this Cryptogram: cs.aoa.daso

The encrypted text is: (. is a letter separator and <br> or line break is a word separator) cs.aoa.dasocs.fsi.rxhgs.al....
8
votes
3answers
1k views

$\pi$ Day puzzle one to twenty

Create the numbers from 1 to 20 Using $\pi$ Normal arithmetic operation $+ - * /$ Square root $\surd$ Exponential $(X^Y)$ Negative() minus sign $-$ Floor() function, express between $[ x ]$ $[ ...
4
votes
3answers
549 views

Flowers For a Patient

A woman wanted to visit her friend at the hospital. She had walked 500 meters from her front door before remembering that she wanted to pick up some flowers. She went back to the florist she had ...
7
votes
8answers
4k views

Divide 3 cakes into 4 equal parts?

You have three cakes of diameter 20cm, 16cm and 12cm respectively as shown in the figure. They all have the same height. Now your task is to divide these 3 cakes into 4 equal parts and you are ...
0
votes
3answers
1k views

Find a number that is 9 times bigger than total of its digits?

Find a number $X$ that is 9 times bigger than the total of its digits: for example if $X=abc$, then $X=9*(a+b+c)$. I don't know the number of digits; it could be 3 or 2 or more.
4
votes
2answers
1k views

Unique Licence Plates

Note: This is a Mathematical puzzle, not a Mathematical problem. Although the answer could be solved with mathematics, lots of problems on Puzzling SE could be solved with mathematics, and the problem ...
7
votes
3answers
690 views

Four Rings & Seven Digits

Replace a to f with the numbers 1 to 2 & 4 to 7, so that the sum inside each ring is the same. There is only one solution!
4
votes
5answers
1k views

The game of Sevens

There is a popular game, named Four fours, where you have to find the shortest mathematical expression for every number from $1$ to $n$, using only the number $4$ and some operators. My variant of ...
6
votes
4answers
1k views

This is not math. This is war!

I have two operators! They are very close, brothers, actually! Though they are like each other's negative.They are named $\mathfrak{C}^+$ and $\mathfrak{C}^-$. No one knows what's going on in their ...
9
votes
6answers
2k views

Who's the oldest?

Albert, Brian and Charles are brothers with different ages. Albert has twice the age Brian will have when Charles has twice the age Albert has now. Who's the oldest?
3
votes
1answer
332 views

Is there a more specific name for this type of arithmetic puzzle?

There are arithmetic puzzles with some numbers (typically four) and rules for combining them (perhaps just the four basic arithmetic operators or including things like combining digits 2 and 3 to make ...