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The Main Challenge

By using the numbers 4, 5, 7 and 8 exactly once each, and with the four arithmetical operations + – × ÷ available, can you arrive at the target answer of 12 in two different ways?

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

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

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From the list, find FOUR different numbers that total 100.

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are TEN different ways to make 214 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 46 and once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

5    10    15    20    25    30    35    40    45    50

#5TimesTable

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The Target Challenge

Can you arrive at 214 by inserting 2610 and 20 into the gaps on each line?

  •  (◯+◯)×◯–◯ = 214
  •  ◯×◯+◯+double◯ = 214
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You have been given the task of manually numbering a 100-page document from 1 to 100.

Which digit will appear most, and how many times?

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

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

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What is the difference between the highest and lowest square numbers?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are TEN different ways to make 213 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 46 and once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

4    8    12    16    20    24    28    32    36    40

#4TimesTable

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The Target Challenge

Can you arrive at 213 by inserting 345 and 15 into the gaps on each line?

  •  (◯×◯–◯)×◯ = 213
  •  ◯²–(◯+◯+◯) = 213
  •  (◯+double◯)×◯+◯ = 213

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The Main Challenge

Using the numbers 2, 3 and 3 once each, with + – × ÷ available, can you list the ELEVEN target answers from 1-20 that are mathematically possible to achieve?

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from 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

From the list, what is the total of the factors of 28?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are SEVEN different ways to make 212 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 46 and once each, with + – × ÷ available, which are the FIVE numbers it is possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

#3TimesTable

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The Target Challenge

Can you arrive at 212 by inserting 7911 and 15 into the gaps on each line?

  •  ◯×◯+◯×◯ = 212
  •  ◯×double◯+◯–◯ = 212

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The Main Challenge

As well as 9421 (9+4+2+1), list the SEVEN other ways of making 16 when adding together four unique digits from 1 to 9.

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from 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

Which THREE different numbers have a sum of 111?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are SEVEN different ways to make 211 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 57 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

2    4    6    8    10    12    14    16    18    20

#EvenNumbers

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The Target Challenge

Can you arrive at 211 by inserting 121314 and 15 into the gaps on each line?

  •  ◯×◯+◯–◯ = 211
  •  ◯²+◯×(◯–◯) = 211

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The Main Challenge

Try the following Mathelona challenge, similar to my pocket book challenges but slightly tougher!

Your task is to make all four lines work out arithmetically by placing the 16 digits listed below into the 16 gaps.  Can you  achieve it?

0    0    1    1    2    2    3    3    4    4    5    6    6    7    8    9

◯  +  ◯   =    8    =   ◯  +  ◯
◯  +  ◯   =    7    =   ◯  –  ◯
◯  +  ◯   =    6    =   ◯  ×  ◯
◯  +  ◯   =    4    =   ◯  ÷  ◯

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

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

How many factors does the smallest number in the list have?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are SIXTEEN different ways to make 210 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 57 and 11 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

1    3    5    7    9    11    13    15    17    19

#OddNumbers

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The Target Challenge

Can you arrive at 210 by inserting 5, 10, 12 and 18 into the gaps on each line?

  •  ◯×◯+◯×◯ = 210
  •  (◯–◯÷◯)×◯ = 210

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This is very famous in Japan, having been an integral part of a TV advert for Google’s Nexus 7 tablet a few years ago.  Click this Buying Diazepam Online for a browse.

Using the numbers 1, 1, 5 and 8 exactly once each, with + – × and ÷ available, can you beat this tricky Japanese challenge by arriving at the target answer of 10?

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

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

How many more square numbers than prime numbers are listed above?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are NINE different ways to make 209 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 57 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

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The Target Challenge

Can you arrive at 209 by inserting 2, 7, 9 and 12 into the gaps on each line?

  •  ◯×◯×◯–◯ = 209
  •  (◯+◯)×(◯+◯) = 209

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The Main Challenge

This puzzle invites you to use seven 2’s (2 2 2 2 2 2 and 2), with + – × ÷ available, in each separate calculation.

For instance, to make 1 and 2 you could simply do:

  •  2 + (2÷2)  (2÷2)  (2÷2)  =  1
  •  2 + 2 + 2 + 2  2  2  2  =  2

Can you show how to make 3, 4, and 5 when using seven 2’s?

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

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

Which four numbers, when 2 is added to them, each become multiples of 5?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are FIVE different ways to make 208 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 57 and 11 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

1    4    9    16    25    36    49    64    81    100

#SquareNumbers

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The Target Challenge

Can you arrive at 208 by inserting 45and 8 into the gaps on each line?

  •  (◯×◯+◯)×◯ = 208
  •  (◯×◯–◯)×◯ = 208
  •  ◯³–◯×(◯–◯) = 208
  •  (◯+◯)×(◯+double◯) = 208

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When listing the first SEVEN 3-digit numbers that do not contain a 0, 1 or 2 as part of their number, what is the total of these listed numbers?

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

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

Which two numbers, when doubled, become square numbers?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are NINE different ways to make 207 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 57 and 11 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

12    24    36    48    60    72    84    96    108    120

#12TimesTable

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The Target Challenge

Can you arrive at 207 by inserting 3910 and 11 into the gaps on each line?

  •  (◯×◯–◯)×◯ = 207
  •  (◯²–◯–double◯)×◯ = 207

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Study the seven clues below and place the numbers 1-9 into the nine positions. Each number should appear exactly once:

x              x              x

x              x              x

x              x              x

Clues:

  1.  The 8 is directly right of the 9,
  2.  The 9 is directly above the 6,
  3.  The 6 is directly right of the 4,
  4.  The 4 is higher than the 1,
  5.  The 1 is further right of the 3,
  6.  The 3 is lower than the 7,
  7.  The 7 is directly above the 5.

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 2nd & 5th rows of the playing board contain the following fourteen numbers:

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

What is the biggest difference between two consecutive numbers on the above list?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are NINE different ways to make 206 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 57 and 11 once each, with + – × ÷ available, which is the ONLY number that is possible to make from the list below?

11    22    33    44    55    66    77    88    99    110

#11TimesTable

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The Target Challenge

Can you arrive at 206 by inserting 101214 and 18 into the gaps on each line?

  •  ◯×◯+◯+◯ = 206
  •  ◯×◯+◯+double◯ = 206

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Pair the ten numbers below so that the difference between the two numbers in each pair is exactly divisible by 7:

6    17    28    37    45    58    64    78    83    98

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The 7puzzle Challenge

The playing board of Buy Generic Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 3rd rows of the playing board 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 factors of 80 listed above?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.

For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).

There are NINE different ways to make 205 when using Lagrange’s Theorem. How many can you find?

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The Mathematically Possible Challenge

Using 57 and 11 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

10    20    30    40    50    60    70    80    90    100

#10TimesTable

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The Target Challenge

Can you arrive at 205 by inserting 21011 and 15 into the gaps on each line?

  •  (◯××◯)–◯ = 205
  •  (◯+◯÷◯)×◯ = 205

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