DAY 269:

The Main Challenge

There is just one set of three consecutive numbers in ascending order whose sum is less than 50 and follow this sequence:

  •  square number – triangular number – prime number

Can you list this set of three numbers?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 6th rows contain the following fourteen numbers:

3   5   10   12   18   20   32   33   35   44   49   54   56   60

Which three different numbers have a sum of exactly 100?

The Factors Challenge

Which of the following numbers are factors of 269?

3     5     7     9     11     13     None of them

Hint: Use the ‘bus stop’ method of division to see if any of the above numbers divide exactly into 269 ]

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 37 and once each, with + – × ÷ available, which are the FIVE numbers it is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable

The Target Challenge

Can you arrive at 269 by inserting 2, 3, 5, 6 and 7 into the gaps below?

  •  (◯+◯+◯)²+(◯+◯)² = 269

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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WELCOME

A warm Welsh ‘Croeso’ to 7puzzleblog.com and our compendium of daily number puzzles.

Five challenges are posted each day, 7 days a week. These are designed for our many followers from over 160 countries & territories throughout the world.

As well as our ever-expanding website of arithmetical challenges, this is also the place to learn about our exciting and successful venture into online maths tuition.

The World’s #1 Daily Number Puzzle Website

When typing daily number puzzles into Google, Bing or Yahoo, you’ll see 7puzzleblog.com officially listed at #1.

We appreciate and value your continued support.

Our aim

. . . is to help improve basic knowledge and confidence of arithmetic in a fun way. Start your numerical adventure by trying to solve today’s five number puzzles.

How to use our website

As well as our latest challenges, simply access the remainder of our number puzzles by continually scrolling down or by choosing a particular month listed at the top right hand side of this page.

Alternatively, in the address bar you can type:

  •  7puzzleblog.com/1 for DAY 1, through to . . .
  •  7puzzleblog.com/366 for DAY 366

if you wish to retrieve any individual day’s challenges from the past 12 months.

The Challenges

We have a vast collection of number puzzles, five of which are posted each day, and the majority are our very own creations.

There are seven categories you will see throughout the year:

The Main Challenge – involving different types of number puzzle gathered from all parts of the globe and will vary in content and difficulty from one day to the next.

The 7puzzle Challenge – linked to our signature puzzle board game, this is generally the easiest of the five daily number puzzles. Great for younger or less-confident students in improving their knowledge of mathematical terminology.

The Roll3Dice Challenge (DAYS 1 to 10) – puzzlers will be given seven groups of three numbers which replicate the rolling of three dice. The numbers in six of these groups will be able to arrive at the target number, but your task is to find the impossible group!

The Lagrange Challenge (DAYS 11 to 250) – named after the French-Italian mathematician who proved that every positive whole number can be made from adding together up to four square numbers. A medium-difficulty challenge where puzzlers must arrive at that particular day’s target number using his theorem.

The Factors Challenge (DAYS 251 to 366) – again related to that particular day’s number, puzzlers have to find which numbers listed, if any, are factors of the number in question (it will divide exactly into it). Good practice for ‘bus-stop’ division, and great to test some of the mathematical tricks available to find whether our number is a multiple of 2, 3, 4, 5 …

The Mathematically Possible Challenge – based on our best-selling arithmetic board game and designed to encourage creative number work. Challenges are also at the medium level of difficulty, but may take the longest time to solve. Requires perseverance to find the possible answers!

The Target Challenge – hardest of the challenges, puzzlers must insert the given numbers into the correct gaps to arrive at the day’s target number. Can sometimes be tricky but will satisfy greatly when solved. A knowledge of BIDMAS, indices and estimation is desirable, but it will also help to think logically.

Copyright

We always encourage our number puzzles to be printed out for educational purposes in schools, or even at home or work, but no part of this website may be republished or transmitted without prior permission and accreditation.

Puzzles & answers; copyright © Paul Godding.

Spread the message

We’d really appreciate it if you could inform family, friends, students and colleagues about our fabulous daily number puzzles at 7puzzleblog.com. Please tell them there is no fee or registration required, but most importantly answers are provided!

You can get in touch by sending tweets to @7puzzle and e-mails to paul@7puzzle.com.

We hope you enjoy your visit.

Author, Paul Godding

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DAY 268:

The Main Challenge

Find the sum of the SEVEN different numbers in the range 65 to 85 that are either multiples of 9, 10, 11 or 12.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 6th rows contain the following fourteen numbers:

3   5   10   12   18   20   32   33   35   44   49   54   56   60

What is the difference between the two highest multiples of 3?

The Factors Challenge

Which of the following numbers are factors of 268?

2     4     6     8     10     12     14

Hint: Use the ‘bus stop’ method of division to see which of the above numbers divide exactly into 268 ]

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 37 and once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

9    18    27    36    45    54    63    72    81    90

#9TimesTable

The Target Challenge

Can you arrive at 268 by inserting 30, 60, 90, 120 and 150 into the gaps below?

  •  (◯+◯+◯)(◯÷◯) = 268

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 267:

The Main Challenge

Using all four numbers 1, 5, 5 and 10 once each, with + – × ÷ available in each calculation, which even number from 2 to 20 inclusive is impossible to make?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 6th rows contain the following fourteen numbers:

3   5   10   12   18   20   32   33   35   44   49   54   56   60

What is the sum of the odd numbers?

The Factors Challenge

Which of the following numbers are factors of 267?

3     5     7     9     11     13     None of these

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 37 and once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

8    16    24    32    40    48    56    64    72    80

#8TimesTable

The Target Challenge

Can you arrive at 267 by inserting 2, 7, 9, 11 and 13 into the gaps below?

  •  ◯××(◯+◯)–◯ = 267

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 266:

The Main Challenge

Using the four numbers 2, 4, 7 and 8 once each, with + – × ÷ available, show how you can make the following six target numbers:

8     18     28     38     48     58

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 6th rows contain the following fourteen numbers:

3   5   10   12   18   20   32   33   35   44   49   54   56   60

From the list, which three different numbers have a sum of 77?

The Factors Challenge

Which FOUR numbers in the range 2 to 20 inclusive are factors of 266?

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 37 and once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

7    14    21    28    35    42    49    56    63    70

#7TimesTable

The Target Challenge

Can you arrive at 266 by inserting 1, 2, 3, 4 and 7 into the gaps below?

  •  (◯²+◯)×(◯+◯)²–² = 266

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 265:

The Main Challenge

. . . is a typical challenge from the excellent American maths card game, 24game®.

Using the four numbers 2, 4, 4 and 9 once each, with + – × ÷ available, can you arrive at the target number of 24?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 1st & 5th rows contain the following fourteen numbers:

2   6   7   9   14   15   16   21   22   40   50   72   81   84

Which two numbers, when 16 is added to them, each become a square number?

The Factors Challenge

Which of the following numbers are factors of 265?

3      5      7      9      11      13      15

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 37 and once each, with + – × ÷ available, which THREE numbers are NOT possible to make from the list below?

6    12    18    24    30    36    42    48    54    60

#6TimesTable

The Target Challenge

Can you arrive at 265 by inserting 2, 4, 7, 8 and 10 into the gaps below?

  •  (◯²+◯–◯)×(◯÷◯) = 265

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 264:

The Main Challenge

Your task is to make the four lines below work out arithmetically.

Simply place the digits 0 to 9 into the 16 gaps, but each digit must only be inserted a maximum of twice in the whole challenge.

◯  +  ◯   =    12    =   ◯  +  ◯
◯  +  ◯   =     1     =   ◯  –  ◯
◯  +  ◯   =     5     =   ◯  ×  ◯
◯  +  ◯   =     2     =   ◯  ÷  ◯

Click Mathelona for further details of our popular pocket book challenges.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 1st & 5th rows contain the following fourteen numbers:

2   6   7   9   14   15   16   21   22   40   50   72   81   84

What is the sum of the multiples of 8?

The Factors Challenge

Which FOUR of the following numbers are NOT factors of 264?

2    3    4    5    6    7    8    9    10    11    12

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 37 and once each, with + – × ÷ available, which are the FOUR numbers it is possible to make from the list below?

5    10    15    20    25    30    35    40    45    50

#5TimesTable

The Target Challenge

Can you arrive at 264 by inserting 2, 4, 6, 7 and 9 into the gaps below?

  •  (◯+◯)×(◯+◯)×√◯ = 264

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 263:

The Main Challenge

One of our popular Mathelona challenges awaits you; can you complete this by making all four lines work out arithmetically?  Fill the 16 gaps with digits 0 to 9, but each digit can only be inserted a maximum of twice.

◯  +  ◯   =    8    =   ◯  +  ◯
◯  +  ◯   =    8    =   ◯  –  ◯
◯  +  ◯   =    8    =   ◯  ×  ◯
◯  +  ◯   =    7    =   ◯  ÷  ◯

Further details of our pocket book of challenges can be found by clicking Mathelona.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 1st & 5th rows contain the following fourteen numbers:

2   6   7   9   14   15   16   21   22   40   50   72   81   84

Which three different numbers listed have a sum of 100?

The Factors Challenge

Which of the following numbers are factors of 263?

3     5     7     9     11     13     None of them

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 37 and once each, with + – × ÷ available, which are the FOUR numbers it is possible to make from the list below?

4    8    12    16    20    24    28    32    36    40

#4TimesTable

The Target Challenge

Can you arrive at 263 by inserting 4, 5, 6, 7 and 8 into the gaps below?

  •  (◯×◯×◯)+◯²+◯ = 263

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 262:

The Main Challenge

Read the following facts to work out my numerical value:

  •  I am a 3-digit number less than 200
  •  I am a multiple of 11
  •  Add 4 to me and I become a multiple of 5
  •  All my digits are different

Who am I?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 1st & 5th rows contain the following fourteen numbers:

2   6   7   9   14   15   16   21   22   40   50   72   81   84

How many square numbers are present on the list?

The Factors Challenge

Which of the following numbers are factors of 262?

2     3     4     5     6     7     8     9

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 37 and once each, with + – × ÷ available, which are the FOUR numbers it is possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

#3TimesTable

The Target Challenge

Can you arrive at 262 by inserting 2, 4, 6, 8 and 10 into the gaps below?

  •  ◯×(×◯–◯)+◯ = 262

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 261:

The Main Challenge

Your task is to make all four lines below work out arithmetically by placing digits from 0 to 9 into the 16 gaps, but each digit can only be used a maximum of twice!

Can you complete this Mathelona challenge?

◯  +  ◯   =    9    =   ◯  +  ◯
◯  +  ◯   =    3    =   ◯  –  ◯
◯  +  ◯   =    8    =   ◯  ×  ◯
◯  +  ◯   =    2    =   ◯  ÷  ◯

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 1st & 5th rows contain the following fourteen numbers:

2   6   7   9   14   15   16   21   22   40   50   72   81   84

What is the sum of the multiples of 7?

The Factors Challenge

Which of the following numbers are factors of 261?

3     5     7     9     11     13     None of them

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 58 and 11 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

90    91    92    93    94    95    96    97    98    99

#NumbersIn90s

The Target Challenge

Can you arrive at 261 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  (◯××)²+(◯+◯)² = 261

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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