DAY 1:

Today’s Challenge

You’re playing Roll3Dice and have rolled the numbers 1, 2 and 4 with your three dice.

This is a truly unique combination being the only one possible where you can make all ten target numbers from 1-10, with + – × ÷ available, as seen below.

Can you insert 1, 2 and 4 into the gaps on each line so all the calculations work out?

  •  ◯–(◯+◯)  =  1
  •  ◯×◯–◯  =  2
  •  ◯÷◯+◯  =  3
  •  ◯×(◯–◯)  =  4
  •  ◯+◯–◯  =  5
  •  ◯×◯+◯  =  6
  •  ◯×◯–◯  =  7
  •  ◯×◯×◯  =  8
  •  ◯×◯+◯  =  9
  •  ◯×(◯+◯)  =  10

Visit Roll3Dice.com for full details.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 2nd rows of the playing board contain the following fourteen numbers:

2   8   9   14   15   17   22   28   40   48   55   63   64   72

What is the sum of all the multiples of 5?

Make 1 Challenge

Can you arrive at 1 by inserting 2, 4, 6 and 8 into the gaps on each line?

  •  (+◯)÷(◯+◯) = 1
  •  (◯×◯)÷(◯+◯) = 1
  •  (◯–◯)–(◯÷◯) = 1
  •  (◯+◯–◯)÷◯ = 1
  •  ◯²÷(◯+◯+◯) = 1

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 366:

Today’s Challenge

You are playing Roll3Dice and have just rolled 2, 5 and 6 with your three dice.

Using 2, 5 and 6 once each, with + – × ÷ available, it is possible to make seven target numbers from 1-10, as shown below.  Place the three numbers into the gaps on each line so that all seven calculations work out:

  •   ◯+◯–◯  =  1
  •   ◯–◯÷◯  =  2
  •   ◯+◯–◯  =  3
  •   ◯×◯–◯  =  4
  •   ◯×◯–◯  =  7
  •   ◯+◯÷◯  =  8
  •   ◯+◯–◯  =  9

For full details, visit Roll3Dice.com or the hashtag #Roll3Dice.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The Bottom-Left to Top-Right diagonal of the playing board contains the following seven numbers:

3       9       25       27       33       64       81

For the final day of the year, a 2-part 7puzzle challenge:

Part 1: How many of the listed numbers are neither square numbers nor cube numbers?

Part 2: Use these seven numbers exactly once each, with + – × ÷ available to use in your calculation, to arrive at our favourite target number of 7.

Make 366 Challenge

Can you arrive at 366 by inserting 1, 3, 3, 6 and 6 into the gaps below?

[²+(◯–◯)²]×(◯²–◯) = 366

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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DAY 365:

Today’s Challenge

This type of calculation awaits every player who plays Mathematically Possible, our arithmetic and strategy board game.  The strategy aspect of the game comes later on.

After rolling 1, 5 and 6 on your three dice:

Part 1: What is the highest target number in the range 1-30 that is possible to achieve using these three numbers once each, and with + – × ÷ available?

Part 2: Similar to above, which whole numbers in the range 1-10 can be made?

Click on Mathematically Possible to gather more details of our very first creation and Roll3Dice to play a simplified version of the arithmetic part at home.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The Top-Left to Bottom-Right diagonal of the playing board contains the following seven numbers:

3       22       24       48       49       80       84

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

Make 365 Challenge

Can you arrive at 365 by inserting 2, 3, 4, 5 and 6 into the gaps below?

(◯²×+◯–◯)×◯ = 365

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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DAY 364:

Today’s Challenge

. . . is a number trail challenge containing 28 steps!

You have been given a starting number of 7.  Carry out the following 28 calculations to achieve the end answer.  Will you have the stamina to get it right?  Here we go!

Start at 7, then:

+19 . . . one-half of this . . . +49 . . . 50% of this . . . +11 . . . ÷7 . . . ×9 . . . subtract twenty-nine . . . ÷5 . . . ×12 . . . one-third of this . . . add fourteen . . . subtract one . . . divide by three . . . 4 . . . ×4 . . . subtract fourteen . . . +1 . . . ÷3 . . . add thirty-three . . . ÷2 . . . 2 . . . +3 . . . divide by two . . . plus four . . . multiply by 1 . . . –11 . . . ×3   =   ?

What is your final answer?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 7th column of the playing board contains the following seven numbers:

5       9       24       28       32       50       66

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

Make 364 Challenge

Can you arrive at 364 by inserting 2, 4, 5, 6 and 7 into the gaps below?

(◯++◯)×◯×◯ = 364

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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DAY 363:

Today’s Challenge

. . . is is a 5puzzle-related question, similar to our board game of the same name.

Your task is to make the target number of 15 by adding together five numbers. You are limited to using 1 to 5, but these can be used any number of times in each calculation.

One such way of making 15 is 3+3+3+3+3.  How many other ways can you find?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 6th column of the playing board contains the following seven numbers:

7       30       36       40       49       54       64

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

Make 363 Challenge

Can you arrive at 363 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯×◯–◯)²×(◯–◯) = 363

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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DAY 362:

Today’s Challenge

. . . is a number puzzle similar to my MATHELONA series of challenges, but much more difficult.  If you enjoy this, feel free to click the above link to place an order for my pocket book of number puzzles.

Your task is to fill all 24 gaps below with the numbers 1-24.  Each number should appear once each and ALL eight lines/equations must work out arithmetically.

◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 5th column of the playing board contains the following seven numbers:

8       11       14       18       25       44       84

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

Make 362 Challenge

Can you arrive at 362 by inserting 4, 9, 16, 25 and 36 into the gaps below?

◯×(+√◯–√◯)+√◯ = 362

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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DAY 361:

Today’s Challenge

You’ve rolled the numbers 2, 2 and 2 with your three dice.  Using these once each, with + – × ÷ available, which five target numbers from 1-10 is it possible to make?

Visit Roll3Dice.com and the hashtags #Roll3Dice #LearnTogether #R3D for details.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 4th column of the playing board contains the following seven numbers:

3       6       20       42       63       72       77

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

Make 361 Challenge

Can you arrive at 361 by inserting 1, 2, 2, 3 and 3 into the gaps below?

◯³×◯²×(◯+◯)+◯ = 361

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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DAY 360:

Today’s Challenge

Three UNIQUE digits must be used to arrive at a specified target number.

Players must multiply two numbers together, then either add or subtract the third number to achieve your target answer of 25.  The formula is (a×b)±c, where a, b and c are three unique digits from 1-9.

One way of achieving 25 is (8×2)+9, can you find the other EIGHT ways?

[Note:  (8×2)+9 = 25 and  (2×8)+9 = 25 counts as just ONE way.]

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 3rd column of the playing board contains the following seven numbers:

4       12       15       17       35       80       81

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

Make 360 Challenge

Can you arrive at 360 by inserting 3, 5, 10, 12 and 20 into the gaps below?

◯××◯×◯÷◯ = 360

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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DAY 359:

Today’s Challenge

. . . involves number combinations and addition, both necessary to master if players are to successfully complete the fabulous Kakuro puzzle.

As well as 9871, list the five other ways of making 25 when adding together FOUR unique digits from 1-9.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd column of the playing board contains the following seven numbers:

2       10       16       33       45       48       70

Using these seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

Make 359 Challenge

Can you arrive at 359 by inserting 2, 4, 6, 8 and 10 into the gaps below?

(◯²×◯)–(◯×◯)÷◯ = 359

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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DAY 358:

Today’s Challenge

The American maths card game, 24game, can be both frustrating and addictive.

Your task is to arrive at the target answer of 24 by using the four digits shown in each group below, just once each per calculation.  You also have + – × ÷ available to use.

From the three groups of numbers, it is possible to reach 24 with two of them, but one group is impossible. Which of these groups of numbers cannot make 24?

  •   2    3    3    4
  •   2    3    3    5
  •   2    3    3    6

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st column of the playing board contains the following seven numbers:

13       21       22       27       55       56       60

Using all seven numbers exactly once each, with + – × ÷ available to use in your calculation, can you arrive at the target number of 100?

Make 358 Challenge

Can you arrive at 358 by inserting 1, 2, 3, 4 and 6 into the gaps below?

◯⁵+◯⁴+◯³+◯²–◯ = 358

Answers can be found here.

Click Paul Godding for details of online math tuition. Wherever you are in the world, please get in touch.

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