DAY 260:

The Main Challenge

All the following 3-digit numbers are divisible by 3, except one.  Which is the odd one out?

102  111  117  126  132  139  144  153  162  168  174  180

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 3rd & 7th rows contain the following fourteen numbers:

4   11   13   24   25   27   30   36   42   45   66   70   77   80

What is the highest multiple of 9 on this list?

The Factors Challenge

Which FIVE of the following numbers are factors of 260?

2    3    4    5    6    7    8    9    10    11    12    13    14

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

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

80    81    82    83    84    85    86    87    88    89

#NumbersIn80s

The Target Challenge

Can you arrive at 260 by inserting 1, 2, 3, 4 and 5 into the gaps on each line?

  •  (◯³–◯)××÷◯ = 260
  •  (◯+◯)²×(◯+◯)+◯³ = 260

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 259:

The Main Challenge

From the following list of numbers:

12  14  18  21  25  28  30  33  35  36  40  42  44  48  54  55  56

find the ONLY number remaining when you eliminate multiples of 3, 5 and 7.

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 3rd & 7th rows contain the following fourteen numbers:

4   11   13   24   25   27   30   36   42   45   66   70   77   80

What is the sum of the multiples of 4?

The Factors Challenge

Which is the ONLY number below that is a factor of 259?

3      5      7      9      11      13

Today’s Hint: Use the ‘bus stop’ method of division to see which of the above numbers divide exactly into 259 ]

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

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

50    51    52    53    54    55    56    57    58    59

#NumbersIn50s

The Target Challenge

Can you arrive at 259 by inserting 1, 3, 5, 7 and 9 into the gaps below?

  •  (◯+◯)²+√(◯+◯+◯) = 259

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 258:

The Main Challenge

Our arithmetic and strategy board game, Mathematically Possible, uses three normal dice involving numbers from 1 to 6, but larger numbers can be introduced to the game simply by using special dice, just as in this challenge.

Use the numbers 2, 4 and 10 once each, with + – × ÷ available, can you list the FOURTEEN target numbers from 1-30 that are mathematically possible to achieve?

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 3rd & 7th rows contain the following fourteen numbers:

4   11   13   24   25   27   30   36   42   45   66   70   77   80

What is the difference between the two prime numbers listed?

The Factors Challenge

Which of the following numbers are factors of 258?

2     3     4     5     6     7     8     9     10

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?

40    41    42    43    44    45    46    47    48    49

#NumbersIn40s

The Target Challenge

Can you arrive at 258 by inserting 1, 2, 4, 5 and 10 into the gaps below?

  •  ◯×(◯²+◯)–(◯÷◯) = 258

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 257:

The Main Challenge

When using the numbers 2, 5 and 7 once each, with + – × ÷ available, can you list the TWELVE target numbers from 1-30 that are mathematically possible to achieve?

Full details of our popular arithmetic and strategy board game can be found by clicking Mathematically Possible.

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 3rd & 7th rows contain the following fourteen numbers:

4   11   13   24   25   27   30   36   42   45   66   70   77   80

Which three different numbers have a sum of 77?

The Factors Challenge

Which of the following numbers are factors of 257?

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?

2    3    5    7    11    13    17    19    23    29

#PrimeNumbers

The Target Challenge

Can you arrive at 257 by inserting 2, 4, 5, 8 and 9 into the gaps below?

  •  ◯²×◯+×(7+◯+◯) = 257

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 256:

The Main Challenge

Start at 7 and subtract 0.1, followed by 0.2, then 0.3 . . . and so on.

What is the first answer less than 1 you will arrive at . . . and the first negative number following that?

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 3rd & 7th rows of the playing board contain the following fourteen numbers:

4   11   13   24   25   27   30   36   42   45   66   70   77   80

How many multiples of 3 are listed?

The Factors Challenge

Which of the following numbers are factors of 256?

2     4     6     8     10     12     14     16

Today’s Hint: A number is a multiple of 8 if you halve it, halve it again . . . and it’s still even! ]

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

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

11    22    33    44    55    66    77    88    99    110

#11TimesTable

The Target Challenge

Can you arrive at 256 by inserting 2, 3, 4, 5 and 6 into the gaps below?

  •  ◯³×◯²×√(◯+◯–◯) = 256

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 255:

The Main Challenge

Here’s a 2-part, 7-step number trail involving all four arithmetical operations.

Part 1: When starting with the number 15, what is your final answer?

  • 1
  • +2
  • ×3
  • ÷4
  • +5
  • 6
  • ×7

Part 2: In a separate calculation, what must your starting number be to make your final answer 3.5?

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 2nd & 6th rows contain the following fourteen numbers:

5   8   12   17   18   20   28   33   48   49   55   56   63   64

Which number, when 11 is added to it, becomes a square number?

The Factors Challenge

Which of the following numbers are factors of 255?

2     3     4     5     6     7     8     9     10

Today’s Hint: A number is a multiple of 5 if it ends in a 5 or 0 ]

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 58 and 11 once each, with + – × ÷ available, which is the ONLY number 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 255 by inserting 2, 4, 5, 6 and 10 into the gaps below?

  •  (◯×◯+◯÷◯)×◯ = 255

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 254:

The Main Challenge

You have been given the task of manually numbering a 100-page document from 1 to 100.

Which digit will appear least, and how many times?

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 2nd & 6th rows contain the following fourteen numbers:

5   8   12   17   18   20   28   33   48   49   55   56   63   64

List five pairs of numbers that have a difference of 15.

The Factors Challenge

Which of the following numbers are factors of 254?

2      4      6      8      10      12

Today’s Hint: A number is a multiple of 4 if it’s still even when it’s halved ]

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 58 and 11 once each, with + – × ÷ available, which are the only THREE numbers 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 254 by inserting 1, 3, 5, 7 and 10 into the gaps below?

  •  (◯+◯)ײ–◯×◯ = 254

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 253:

The Main Challenge

Using the numbers 0.1, 0.6, 3 and 7 once each, with + – × ÷ available, can you arrive at the target number of 7?

The 7puzzle Challenge

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

The 2nd & 6th rows of the playing board contain the following fourteen numbers:

5   8   12   17   18   20   28   33   48   49   55   56   63   64

What is the sum of the multiples of 8?

The Factors Challenge

Which of the following numbers, if any, are factors of 253?

3     5     7     9     11     None of them

Today’s Hint: A number is a multiple of 3 if its digits add up to a multiple of 3 ]

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?

7    14    21    28    35    42    49    56    63    70

#7TimesTable

The Target Challenge

Can you arrive at 253 by inserting 3, 5, 7, 9 and 11 into the gaps below?

  •  (◯–◯)²×(◯–◯)²–◯ = 253

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 252:

The Main Challenge

Can you complete this task so the three lines work out arithmetically when inserting the digits 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8 and 9 into the 12 gaps below?

◯  +  ◯   =     7     =   ◯  –  ◯
◯  +  ◯   =    12    =   ◯  ×  ◯
◯  +  ◯   =     4     =   ◯  ÷  ◯

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 containing 49 different numbers, ranging from up to 84.

The 2nd & 6th rows of the playing board contain the following fourteen numbers:

5   8   12   17   18   20   28   33   48   49   55   56   63   64

How many pairs of consecutive numbers are listed?

The Factors Challenge

Which of the following numbers, if any, are factors of 252?

3    4    5    6    7    8    9    10    11    None of them

Today’s Hint: A multiple of 9 will always have its digits adding up to 9, 18, 27… ]

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?

6    12    18    24    30    36    42    48    54    60

#6TimesTable

The Target Challenge

Can you arrive at 252 by inserting 3, 5, 7, 9 and 11 into the gaps below?

  •  (◯+◯)×◯×◯²÷◯ = 252

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 251:

The Main Challenge

Here’s a special 24game-type challenge with a difference.

Using the numbers 1, 3, 4 and 6 once each, together with + – × ÷ available, it is possible to make lots of different target numbers, not just 24.

For instance:

  • to make 1: (3+4–6)×1 = 1
  • to make 2: (3+4–6)+1 = 2
  • to make 3: (6–4–1)×3 = 3 . . . and so on.

Using the same four numbers, can you make the target numbers 6, 12, 18 and 24?

The 7puzzle Challenge

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

The 2nd & 6th rows of the playing board contain the following fourteen numbers:

5   8   12   17   18   20   28   33   48   49   55   56   63   64

What is the sum of the multiples of 5?

The Factors Challenge

Which of the following numbers, if any, are factors of 251?

2    3    4    5    6    7    8    9    10    None of them

[ Today’s Hint: An even number cannot divide exactly into an odd number ]

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 58 and 11 once each, with + – × ÷ available, which is the ONLY number 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 251 by inserting 10, 20, 30, 40 and 50 into the gaps below?

  •  (quarter of ◯)×◯–[(◯+◯)÷◯]² = 251

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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