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Questions tagged [formation-of-numbers]

For puzzles about forming numbers using other numbers and mathematical operations. Use with [mathematics]

-2 votes
0 answers
86 views

Find the missing number in 3×3 square [closed]

8 12 9 10 7 20 3 10 ? Find the missing number from the 3×3 square.
Subbulakshmi Karthik's user avatar
-1 votes
3 answers
143 views

2,3,6,7 to get 10 [closed]

How do I use the numbers 2,3,6,7 to get 10? You can also make numbers like 23 or 76 too.
Josie's user avatar
  • 29
8 votes
1 answer
1k views

Making 1353 using Four fours

As the title says, the goal for this puzzle is making 1353 out of simply 4, 4, 4 and 4. Concatenation is not allowed. Here are all of the allowed operators. Addition (+), Subtraction and negatives (-)...
Alejandro Garcia's user avatar
-4 votes
3 answers
162 views

Use 1 6 7 8 (all numbers) to equal 2 [closed]

Create an equation using 1, 6, 7 and 8 to equal 2. Can use brackets, plus, minus, subtract, multiply.
Number Bond's user avatar
5 votes
1 answer
145 views

Number relations in a number table

I found this puzzle in a school study group. Choices are 9, 10,11, 12, 13. $$ \begin{array}{|c|c|c|c|} \hline 22& 22 & 23 & 24 \\ \hline 22 & 32& 41& 52\\ \hline 23 & 41 &...
Gablin32's user avatar
-2 votes
2 answers
224 views

How do you make numbers 1 - 100 using the digits "2 0 2 4"? [closed]

I'm trying to complete this "2024 Challenge", but I'm still missing quite a lot of numbers. I need your help to finish this challenge. All answers are appreciated. Rules: Use all 4 digits ...
PiMemoryLegend's user avatar
1 vote
0 answers
177 views

Can you obtain a given set of numbers by halving a chosen number? [closed]

Given a set of numbers, I want to check if it is possible to produce the full set of numbers by repeatedly splitting one single starting number into its halves and doing the same for each of the ...
Kevin's user avatar
  • 39
6 votes
4 answers
416 views

Approximate ln(2) out of small numbers

Given numbers 1,2,...n, the goal of this puzzle is to make a number as close to the mathematical constant $\ln(2) ≈ 0.69314718055$ as possible. Rules You can only use the four mathematical ...
CrSb0001's user avatar
  • 2,423
-2 votes
1 answer
111 views

How to make all the numbers ranging from 1-30 only using the numbers 1, 5, 0, 4 [closed]

You can use the numbers 1, 5, 0, and 4 but you can't square and cube, you can't use any other numbers, you can't use the numbers more than once, your answer can't be rounded, and you MUST use all the ...
SALAHTHEGOAT's user avatar
0 votes
1 answer
165 views

Getting The Numbers 33 Through 99 Only Using 2, 0, 2, and 4 [closed]

How do you get the numbers 33-99 by using the numbers 2,0,2,4
user88484's user avatar
5 votes
4 answers
441 views

How to make 2012 by using 2, 0, 1, 2?

How to make $2012$ by using $2, 0, 1, 2$? Allowed Operations: Addition, Subtraction, Multiplication, Division, $!$ (factorial), subfactorial ( $!n$), primorial (product of the first $n$ primes), ...
Thirdy Yabata's user avatar
6 votes
4 answers
762 views

How to get the numbers from 50 - 100 with the numbers 2, 0, 2, 4

All I need is 56-59, 69, 73, 75- 77, 79, 86, 90-94, 99. I've done the rest but I would love to hear other solutions. Rules: Use any of the following operations: basic operations (+ - x /), to the ...
bob's user avatar
  • 79
-2 votes
1 answer
146 views

Make numbers 1 - 30 using the digits 2, 0, 2, 5

Try to make all numbers 1-30 using the digits 2, 0, 2, 5. Rules: Use all four digits exactly once. Allowed operations: $+,−,×,÷,! \text{ (factorial)}, !! \text{ (double factorial)}, !!! \text{ (...
WOWOW's user avatar
  • 438
0 votes
1 answer
97 views

Insert operators into 3 5 7 = 7 [closed]

How can you insert any math symbol/operation () ! - + x / square root etc into 3 5 7 = 7 without adding any numbers or changing the order? For example, 3-7+5=1 or 3+7-5=5. Also, try to solve 3 7 5 = 2,...
CSS's user avatar
  • 27
18 votes
4 answers
5k views

Make 27 using 1, 1, 1, 1

Make the number 27 using 4 instances of the digit 1. You must use all 4 digits to make it count. Here are the allowed operators: Addition (+), subtraction (-), multiplication (*), division (/) Square ...
Alejandro Garcia's user avatar
4 votes
2 answers
513 views

Make expressions equal to 6 using exactly four 4s

You must use all four 4s. You may use addition (+). You may use subtraction (-). You may use multiplication, such as with asterisks (*) and/or grouping symbols. You may not use any division. You ...
Olive Stemforn's user avatar
3 votes
1 answer
273 views

Constructing 2024 from the first 7 natural numbers

Can you use each number 1, 2, 3, 4, 5, 6, 7 exactly once, the four operations +, -, *, / and the parentheses to construct the number 2024? Bonus: can you find multiple distinct solutions? No computers ...
Dmitry Kamenetsky's user avatar
3 votes
2 answers
368 views

Approximate e out of small numbers

Given the numbers 1, 2, ..., n the puzzle is to try to make a number as close as possible to the mathematical constant $e$ using only the four mathematical operations +, -, *, / and parentheses (...
Simd's user avatar
  • 7,845
12 votes
6 answers
10k views

Make numbers 1 - 30 using the digits 2, 0, 2, 4

Try to make all numbers 1-30 using the digits 2, 0, 2, 4. Rules: Use all four digits exactly once. Allowed operations: $+, -, \times, ÷, !$ (factorial), x^y (exponentiation), √ (square root). ...
jac's user avatar
  • 137
8 votes
1 answer
913 views

Escape Room Puzzle: numbers in Christmas trees

I was sent this puzzle by a friend who's recently attended an escape room, but it's really not coming to me. I wondered if anyone had seen similar puzzles and could suggest an answer?
EB3112's user avatar
  • 183
6 votes
1 answer
364 views

Add as few plus signs as possible to make equation true

To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not post an answer until 48 hours after this question is posted. Thank you! ...
Will.Octagon.Gibson's user avatar
18 votes
11 answers
5k views

How to solve 1 2 3 4 5 = 5 4 3 2 1 (insert five pluses to make it equal)? A thorough solution needed

I consider it an amazing though very challenging puzzle: 1 2 3 4 5 = 5 4 3 2 1 One must insert exactly five pluses (i.e. five addition signs) somewhere between those ten displayed figures in such way ...
Alexander's user avatar
  • 595
-2 votes
1 answer
320 views

Create numbers from 1-100 using 1846

Create all numbers $1$ to $100$ using equations made up of $1,4,6,8$. Rules: Use all four digits exactly once Allowed operations: $+,\,-,\,\times,\,\div,\,!$ (factorial), exponentiation ($a^b$), ...
sonia ahuja's user avatar
10 votes
4 answers
2k views

A Prime Number equation using all nine digits once

Create an equation with the following conditions All numbers must be one or two digit prime numbers You can only use + and - and = No other math operators You must use all the nine (single) digits (...
RogerA's user avatar
  • 6,627
-4 votes
1 answer
247 views

Using 8 6 4 2, how do you get to 30

8 6 4 2 =30 in that order using only + - X
Karen Chappell's user avatar
4 votes
13 answers
4k views

Let's make a huge number with only tiny numbers

Using only three 1s and two 2s (i.e. 1,1,1,2,2), can you generate the number 55? You can use all mathematical operators you know, such as floor function, factorial, powers/indices*, etc., but ...
user86497's user avatar
2 votes
1 answer
145 views

If 123x45 = 1, 22+222=0, 8979:4=5, 56319=2 what is 781-32=?

If 123x45 = 1, 22+222=0, 8979:4=5, 56319=2 what could be the solution to 781-32=? Found it on an maths board and became desperate over time.
Guestos's user avatar
  • 29
5 votes
1 answer
236 views

Number encoding puzzle

An "ancient" writing system for numbers was discovered: How would the number 75 be represented with this code? (Two symbols) I think I made it too hard, here are some hints:
anton-tchekov's user avatar
3 votes
2 answers
214 views

How can this equation make sense?

Think a bit creatively and tell me why is this equation correct
RogerA's user avatar
  • 6,627
-2 votes
1 answer
283 views

Creating a high number from this grid using minimal mathematical operations

I'm creating a puzzle (pictured below). From this grid, how could I output a 10-digit number? The tiles cannot be moved or changed. Instruction-wise, I would like to provide my players with some ...
Will's user avatar
  • 595

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