DAY 312:

The Main Challenge

By using the formula (a×b)+c, where a b and c are three unique digits from 1-9, one way of arriving at 24 is (5×3)+9, but can you find the only other way of making 24 when using the above rule.

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 & 5th rows contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

Which three pairs of numbers all have a difference of 47?

The Factors Challenge

Which is the ONLY one of the following that is not a factor of 312?

2     3     4     6     8     9     12     13

The Mathematically Possible Challenge

Using 47 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 312 by inserting 2, 3, 4, 6 and 8 into the gaps below?

  •  (◯+◯+◯)×◯×◯ = 312

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 311:

The Main Challenge

Further details of my popular Mathelona number puzzle can be found by clicking this Mathelona link.

Can you make all four lines work out arithmetically by filling the 16 gaps below with digits 0-9? Each digit can only be inserted a maximum of TWICE:

◯  +  ◯   =    9    =   ◯  +  ◯
◯  +  ◯   =    9    =   ◯  –  ◯
◯  +  ◯   =    9    =   ◯  ×  ◯
◯  +  ◯   =    7    =   ◯  ÷  ◯

Were you able to complete this without repeating the same sum when making 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 & 5th rows contain the following fourteen numbers:

6   7   8   16   17   21   28   48   50   55   63   64   81   84

How many factors of 48 are listed?

The Factors Challenge

Which of the following numbers are factors of 311?

3     5     7     9     11     13     None of them

The Mathematically Possible Challenge

Using 47 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 311 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  (◯³×◯)–(◯⁴×◯×◯) = 311

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 310:

The Main Challenge

Test your knowledge of number combinations by listing the SIX different ways of making 20 when adding together five unique digits from 1 to 9 in this Kakuro-style question.

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 & 3rd rows contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

Can you find FIVE sets of three different numbers, all of which have a sum of 100?

The Factors Challenge

Which one of the following numbers is NOT a factor of 310?

1     2     3     5     10     31     62

The Mathematically Possible Challenge

Using 47 and 11 once each, with + – × ÷ available, which are the only TWO 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 310 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  (◯³+◯–◯–◯)×◯ = 310

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 309:

The Main Challenge

This Kakuro-style question invites you to find various number combinations.  List the SEVEN different ways of making 12 when adding together three unique digits from 1 to 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 1st & 3rd rows contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

Which number, when doubled, becomes a 3-digit number with two of the digits the same?

The Factors Challenge

Which of the following numbers are factors of 309?

3     5     7     9     11     13     None of them

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

100    101    102    103    104    105    106    107    108    109

#Numbers100to109

The Target Challenge

Can you arrive at 309 by inserting 3, 4, 6, 8 and 9 into the gaps below?

  •  ((◯+◯)×◯+◯)×half◯ = 309

 

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 308:

The Main Challenge

From the even numbers in the range 2-40 inclusive, eliminate:

  • multiples of 4,
  • single-digit numbers,
  • numbers which are next to (one away from) a prime number or square number.

Which is the only number that remains?

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 & 3rd rows contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

What is the product of the two prime numbers?

The Factors Challenge

Which FOUR of the following numbers are factors of 308?

4    5    6    7    8    9    10    11    12    13    14

The Mathematically Possible Challenge

Using 38 and 10 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 308 by inserting 2, 4, 6, 8 and 10 into the gaps below?

  •  (◯²×◯÷◯)–(◯×√◯= 308

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 307:

The Main Challenge

Using the numbers 3, 5 and 7 once each, with + – × ÷ available, list the FIVE even-numbered target numbers from 30-60 inclusive that are mathematically possible to make.

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 & 3rd rows contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

What is the sum of the multiples of 8?

The Factors Challenge

Which of the following numbers are factors of 307?

3     5     7     9     11     13     None of them

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

30    31    32    33    34    35    36    37    38    39

#NumbersIn30s

The Target Challenge

Can you arrive at 307 by inserting 3, 5, 7, 9 and 11 into the gaps below?

  •  ◯×◯×◯+◯–◯ = 307

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 306:

The Main Challenge

There are 62 people employed by a company and all of them travel to work by car, bus or train. If 34 employees either drive or go by bus and the difference between those who drive and those who go by train is nine, find the number of people who use each different mode of transport.

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 & 3rd rows contain the following fourteen numbers:

2   9   13   14   15   22   25   36   40   42   45   66   72   80

What is the average of the three consecutive numbers on the list?

The Factors Challenge

Which THREE of the following Prime Numbers are factors of 306?

2    3    5    7    11    13    17    19    23    29

The Mathematically Possible Challenge

Using 38 and 10 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 306 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  (◯²+(◯+◯–◯)²)×◯² = 306

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 305:

The Main Challenge

Another typical Mathelona challenge taken from our pocket book of number puzzles.

Your task is to make all three lines work out arithmetically by filling the 12 gaps with the following 12 numbers.  Can you successfully complete this?

1      1      2      2      2      3      4      4      5      6      7      8

◯  +  ◯   =     5     =   ◯  –  ◯
◯  +  ◯   =    10    =   ◯  ×  ◯
◯  +  ◯   =     2     =   ◯  ÷  ◯

Full details of our Mathelona number puzzles can be found by clicking the link.

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 & 7th rows contain the following fourteen numbers:

4   5   11   12   18   20   24   27   30   33   49   56   70   77

How many multiples of 7 are in the list?

The Factors Challenge

Which of the following numbers are factors of 305?

3     5     7     9     11     13     15

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

1    4    9    16    25    36    49    64    81    100

#SquareNumbers

The Target Challenge

Can you arrive at 305 by inserting 5, 6, 7, 8 and 9 into the gaps below?

  •  (◯×◯+◯–◯)×◯ = 305

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 304:

The Main Challenge

One to test your basic adding skills.  What is the total of all twenty-two separate digits when listing all whole numbers from 10-20 inclusive?

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 & 7th rows contain the following fourteen numbers:

4   5   11   12   18   20   24   27   30   33   49   56   70   77

What is the difference between the two square numbers?

The Factors Challenge

Which THREE of the following numbers are factors of 304?

4     6     8     10     12     14     16

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which are the only THREE numbers 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 304 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  ◯⁵+◯⁴+◯³–double◯–◯ = 304

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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DAY 303:

The Main Challenge

Using 1, 5 and 10 once each, with + – × ÷ available, list the EIGHT different even-numbered target numbers that are possible to make from 2-60.

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 & 7th rows contain the following fourteen numbers:

4    5    11    12    18    20    24    27    30    33    49    56    70    77

What is the sum of the multiples of 5?

The Factors Challenge

Which of the following numbers are factors of 303?

3     5     7     9     11     13

The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which is the ONLY number 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 303 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  (◯⁴–◯²–◯)÷(◯×◯) = 303

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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