Questions tagged [formation-of-numbers]

For puzzles about forming numbers using other numbers and mathematical operations.

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5
votes
1answer
382 views

What is the minimum number of digits required to make the numbers 1-20?

What is the minimum number of digits required to make the numbers $1-20$? Any $n$ consecutive numbers can be counted as a $n$-digit consecutive number. So, $$12\\34$$ has the numbers $$1, 2, 3, 4, ...
5
votes
2answers
470 views

Make 439204 from Φ (Golden Ratio)

In my last formation-of-numbers question I somehow tricked myself, because I wanted to make a puzzle about a number that looks like a year. But the complicated solution I thought of turned out to be ...
13
votes
5answers
3k views

Make 2008 from Φ (Golden Ratio)

I know that questions of the form "Use [arbitrary set of numbers] to make 2018" seem to be not very well recieved in the last days. That's why this puzzle is about making 2008. But instead of using ...
7
votes
3answers
277 views

Integers around a circle with consecutive pairs differ to a square

Inspired by this puzzle : Integers around a circle with consecutive pairs adding to a square The integers 1 to 50 are placed around a circle in such a way that the difference of any two of them which ...
8
votes
4answers
1k views

Use four 8's to make the number 2016

Previous question: Use two 2's, two 1's, and two 8's to make the number 2018 Background: I was trying to add some new elements (hopefully creative and interesting) to this traditional type of number-...
12
votes
5answers
4k views

Use two 2's, two 1's and two 8's to make the number 2018

This is another number formation question. You must use each of $2$, $1$ and $8$ exactly twice to make the number $2018$. The rules are Allowed symbols: $+$, $-$, $\times$, $\div$, $($, $)$, $\sqrt{\...
3
votes
0answers
206 views

Find the combination algorithm for 16 digit numbers [closed]

Find the combination algorithm for numbers that will be generated. And the numbers are: 0535 8549 9933 3564 0500 7197 6709 9534 0531 3170 7802 8731 The numbers ...
0
votes
4answers
19k views

10 9 8 7 6 5 4 3 2 1 = 2018

Add the four basic operators × ÷ + −: 10 9 8 7 6 5 4 3 2 1 to get the total 2018. Keep the order; do not combine numbers. Don't use any brackets. Use all four operators at least once.
-6
votes
2answers
3k views

Make numbers 33-100 using only digits 2,0,1,8

Use the numbers 2, 0, 1, and 8 (ALL of them...only ONE time each) to make every integer from 33 to 100. Allowed operations: +, -, x, ÷, ! (factorial), exponentiation, square root and Parentheses No ...
5
votes
8answers
4k views

How to use 2,0,1,8 to make 51? [closed]

How to use the number 2,0,1,8 to make 51? You can use any operation except for multiple factorials and you can concatenate numbers, ex.2,0=>20 You can take the square root of a number without a ...
6
votes
4answers
5k views

Can you make 2 0 = 1 5? [closed]

Can you find a way to make 2 0 = 1 5 by adding any operations or symbols? You can use symbols such as these: +, -, *, !, ^, (). It is not limited to this list.The symbols may be added either between ...
43
votes
10answers
30k views

Can you make 1 1 1 1 = 5? [closed]

Can you find a way to make 1 1 1 1 = 5 by adding any operations or symbols? You can use symbols such as these: +, -, *, !, ^, (). It is not limited to this list. Good Luck! P.S. You can not add any ...
8
votes
2answers
7k views

Is Ron a mathematical prodigy?

I and Ron were talking casually over coffee. Just then a thought sprung into my mind; could there exist numbers such that if their digits are reversed, for example $123\to321$, the new number is ...
-5
votes
3answers
188 views

Get 20160 with 5 2's and any Mathematical Operator [closed]

Here is a mathematical riddle: Find a way to get 20160 with 5 2's and any mathematical operators you want. Have fun! Don't forget that I said any. Feel free to look online for crazy whacky math ...
3
votes
2answers
2k views

Make numbers 93 using the digits 2, 0, 1, 8

I have a 1 to 100 building challenge with 2, 0, 1, 8, all made but 93 is not made. I need your help! This is similar to the "Four fours" puzzle, but using the digits 2, 0, 1 and 8. Rules: Use all ...
23
votes
6answers
77k views

Make numbers 1 - 30 using the digits 2, 0, 1, 8

It's 2018 so let's repeat last year's challenge with new digits. This is similar to the "Four fours" puzzle, but using the digits 2, 0, 1 and 8. Rules: Use all four digits exactly once Allowed ...
3
votes
1answer
142 views

From the information given below- prove that Z = 4561

If- ONE * THREE * FIVE = 225 NINE * SEVEN + TWELVE = X 225 + X = Y 10,18,32,56,93,146,? ? + Y = Z Prove that, Z = 4561
-2
votes
1answer
196 views

What is the next number in the integer sequence?

What is the next number in the following sequence? 25 27 30 34 39 45 52 60 69 79 69 60 52 45 39 34 30 26 22 18 82 78 74 70 66 67 64 60 65 80 ?
7
votes
1answer
481 views

Two Christmas trees

To each Christmas tree : Put two $+$, two $-$, and two $×$, to the yellow triangles. in a row, there must be different operators (so between $[2,0,1,7]$ all $3$ operators must appear) $A - B$ means $|...
4
votes
1answer
188 views

Numbers in the wheel

Arrange the numbers 3 to 27 onto the wheel using these rules: The modulus of two adjacent numbers must equal with the number between them. Modulus here means the remainder when the bigger number is ...
4
votes
4answers
611 views

Complete numbers on Clock

I have a different kind of clock at my home. Image of Clock: 5 o'clock on this clock means 1 o'clock actually. Display of data in table: Can you complete all the numbers on this clock by finding ...
-5
votes
2answers
121 views

Expressing numbers as sum of two squares and two powers of 2

It has been shown that the smallest integer, greater than 1, that cannot be represented as a sum of two squares and at most two powers of 2 is 535,903. Show how to express 535,902 as the sum of two ...
-2
votes
1answer
371 views

Make numbers 1-31 with 1,9,7,8

I am stuck with some of the solutions. These are rules: Use all four digits exactly once Allowed operations: +, -, x, ÷, ! (factorial), exponentiation, square root, squaring, parentheses Thank you ...
3
votes
1answer
145 views

Another loop of integers with consecutive terms adding to a square

The integers 1 to 50 are placed around a circle in such a way that the sum of any two of them which are adjacent is a perfect square. Of these integers, all but the prime integers were removed. ...
1
vote
4answers
460 views

Finding pattern of numbers

I have this puzzle for adding 2 numbers (Or sequences) Does anyone have an idea about how this addition works? $$ 5+1=9\\3+1=10\\5+2=21\\8+2=23\\9+0=28\\4+3=?? $$
30
votes
1answer
769 views

Integers around a circle with consecutive pairs adding to a square

The integers 1 to 50 are placed around a circle in such a way that the sum of any two of them which are adjacent is a perfect square. Of these integers, the even numbers are then removed. Restore them....
7
votes
6answers
2k views

How can you get 125 from 2,3,4,5,6?

You are allowed to use the four standard operations (+-/*) to get 125, using each of the following digits exactly once: 2, 3, 4, 5, and 6. I came up with an answer, but took me a while; curious to ...
4
votes
2answers
324 views

Find the ? in this grid

Find question mark in this grid with numbers. csv version: 9,6,7,3 2,4,7,6 4,1,5,8 3,0,3,? Hint: You use all numbers to find ? and it is much more simple ...
1
vote
3answers
2k views

Make 38, 44, 46 using 2,3,8,7?

Using BODMAS/BIDMAS* and the numbers and signs 2,3,7,8, (), -,+,÷,× can you make 38, 44, 46. You can only use each number once. I can't figure it out myself Brackets Order Division Multiply Add ...
4
votes
1answer
153 views

Draw out a Battle!

I'm thinking of a number. It's 5 digits long There's a 5 between a 7 and a 2. The second-biggest number is on the far right. The average digit value is equal to the second-lowest digit. The smallest ...
2
votes
2answers
792 views

Mathematical riddle [duplicate]

Part one: You are presented with ten incomplete equations: 0 0 0 = 6 1 1 1 = 6 2 2 2 = 6 3 3 3 = 6 4 4 4 = 6 5 5 5 = 6 6 6 6 = 6 7 7 7 = 6 8 8 8 = 6 9 9 9 = 6 Your job is to fill in mathematical ...
14
votes
2answers
2k views

My colleague gave me a number puzzle

My colleague probably has left work now, he is no longer responding. He gave me this puzzle and asked me to fill in the '?': ...
2
votes
0answers
364 views

Number sequence with two missing numbers 15, 39, 1/8, 1/49, 100, 11, _, _

Given the following incomplete number sequence: 15, 39, 1/8, 1/49, 100, 11, __, __ What are the two missing values?
4
votes
4answers
513 views

Find the smallest positive integer that cannot be made from four 8s, or show it doesn't exist

This puzzle was inspired by one recently posted by @Max. What is the smallest positive integer that cannot be made from four 8s, where bracketing is allowed and the only permitted operations are ...
5
votes
3answers
8k views

Make numbers 1-100 with only four 8s

Make numbers 1, 2, 3, 4, 5,.....100 using only four 8s. You can use multiplication, division, addition, and subtraction. No negatives. You may use exponents. Example: $1 = 8 \times 8 \div 8 \div 8$
9
votes
1answer
458 views

Arrange numbers into the quadrilaterals

Arrange numbers 1 to 14 to the quadrilaterals, such that: The difference between 2 numbers in squares having a common edge or corner is greater than 2. Numbers inside the green quadrilaterals are ...
6
votes
4answers
726 views

MS Excel Die Hard

You are John McLane, and Simon Gruber is back in town. This time he booby trapped 50 nuclear power plants across the US, and sent you a laptop he prepared, along with the following note: Any ...
12
votes
2answers
518 views

An omalonumerophobic's number sequence

Find all seven terms of the number sequence, a1, a2, a3, a4, a5, a6, a7 given that each successive term is exactly twice the value of the previous term no even digits are used in ...
-2
votes
1answer
31k views

Put the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 so the total of each row, column and diagonal add up to the same number [duplicate]

Puzzle for grade 11 foundations of mathamatics course thank you in advance for the help
18
votes
1answer
572 views

Investment advice

I'm considering investing my money with a London broker who offers excellent returns. But the only information I can find about the investment are two numerical codes: Deposits: 3.428571428571......
2
votes
5answers
696 views

Self reference is a pain [duplicate]

How many letters do the answer of this puzzle contain? NB: This came across while web surfing. I don't claim any ownership rights.
4
votes
7answers
328 views

Sum of three six digit numbers

This puzzle is a variation of a 3 digit addition puzzle I saw recently. A , B , and C are positive integers between 0 and 9. A,B and C are different integers Six digit numbers formed using A,B and ...
5
votes
3answers
1k views

Make numbers 1-100 using only the digits 2, 0, 0, 0?

I've already found several, the ones I mostly need are 13, 26, 34-40, and 64-85, but I figure it would be interesting to have a record here for other potentially easier/simpler methods.
0
votes
2answers
2k views

Arrange to get sum of 450 when it is added row wise and column wise

I just came across a maths puzzle,where i should get the sum of 9 numbers(multiples of 10) to be 450 both horizontally and vertically in a 9x9 matrix. Picture attached for reference:
-3
votes
3answers
357 views

If 71:64 then 92:? [closed]

This question was in the logical reasoning section of an exam I had recently appeared in. I still have no clue how this is solved. If 71:64 then 92:? The given options are- 25 32 35 ...
5
votes
1answer
263 views

An EMIRP Game/ Puzzle for Prime enthusiasts

As most math enthusiasts know, EMIRPs are Prime Numbers which are also prime numbers when reversed. Like 17 which when reversed to 71 is also a prime number. Here is a Game or Puzzle based on 5 ...
4
votes
2answers
562 views

Uncle's mathematics puzzles after dinner

I was at my grandmother's home for a dinner. With my siblings, after the dinner party, watching a prime time show. One of my uncles, who is a mathematics professor, didn't like and asked us to sit ...
9
votes
1answer
422 views

Prime to Prime change

Change the Prime Number 71549 to another Prime Number 10067 in Five steps by changing one digit at a time. Every time you change the digit the new number must be a Prime Number also. You cannot ...
-6
votes
1answer
2k views

Mathemetic series 1, 3, 6, 10, 15, 21, 28, 36, 45,__? [closed]

I currently looking what will be the next value to 45 as per given series. Is there any specific equation available?
3
votes
2answers
159 views

Complete the equality (medium-hard)

Complete the equality to make it true: 1 1 1 1 1 = 945 Using similar logic, solve for this: 1 1 1 1 1 = 80 Info: You should ...