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The Main Challenge

You have 12 balls and each ball is numbered differently from 1 to 12.  They are randomly placed into two bags so each bag contains the six numbered balls shown below:

  • Red bag:   2 3 4 6 9 11
  • Blue bag:  1 5 7 8 10 12

You then move a ball from the red bag to the blue bag.  The total of the seven balls in the blue bag is now double the total of the five balls left in the red bag.

Which ball did you move from the red bag to the blue bag?

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The 7puzzle Challenge

The playing board of Cheap Xanax 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

How many pairs of numbers have a difference of 12?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every 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).

Show how you can make 164, in SIX different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which are the only FOUR numbers it’s 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 164 by inserting 467 and 8 into the gaps on each line?

  •  (◯×◯–◯)× = 164
  •  ◯²×◯–quarter(³) = 164

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The Main Challenge

Fill the 15 gaps below with the numbers 1-15, once each, so all five lines work out:

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

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The 7puzzle Challenge

The playing board of Cheap Xanax 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 2-digit number, when 4 is subtracted from it, becomes a multiple of 9?

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The Lagrange Challenge

Lagrange’s Four-Square Theorem states that every 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).

Show how you can make 163, in SEVEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which are the only FOUR numbers it’s possible to make from the list below?

1    3    6    10    15    21    28    36    45    55    66

#TriangularNumbers

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The Target Challenge

Can you arrive at 163 by inserting 579 and 20 into the gaps on each line?

  •  ◯×+◯× = 163
  •  ◯×+◯+double = 163

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The Main Challenge

Here’s a mini-Mathelona challenge where you must place the eight digits 0, 1, 1, 2, 2, 2, 3 and 4 into the eight gaps so both lines work out arithmetically:

◯  +  ◯   =    4    =   ◯  ×  ◯
◯  –  ◯   =    2    =   ◯  ÷  ◯

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The 7puzzle Challenge

The playing board of Cheap Xanax 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 two numbers, when each is divided by 6, also appear on the list?

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The Lagrange Challenge

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

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

Show how you can make 162, in THIRTEEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?

1     8     27     64     125

#CubeNumbers

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The Target Challenge

Can you arrive at 162 by inserting 239 and 12 into the gaps on each line?

  •  ◯××(◯–◯) = 162
  •  ◯³×(×◯–◯) = 162

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The Main Challenge

Three DIFFERENT digits from 1-9 must be used in a particular way to arrive at a specified target number. The rule is to multiply two numbers together, then either add or subtract the third number, so you arrive at today’s target number of 30.

As an example, one such way of making 30 is (8×3)+6. Can you find the other FOUR ways of making 30?

[Note:  (8×3)+6 = 30  and  (3×8)+6 = 30  counts as just ONE way]

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The 7puzzle Challenge

The playing board of Cheap Xanax 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 numbers, when 31 is added to each, all become square numbers?

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The Lagrange Challenge

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

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

Show how you can make 161, in SEVEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which SIX numbers is it 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 161 by inserting 3810 and 15 into the gaps on each line?

  •  ◯×◯++ = 161
  •  (◯+◯)×(◯–◯) = 161

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The Main Challenge

Read the following five clues:

  •  I am a 2-digit number,
  •  My 1st digit is bigger than my 2nd digit,
  •  I am less than 50,
  •  I am an odd number,
  •  I am not a prime number.

Which number am I?

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The 7puzzle Challenge

The playing board of Cheap Xanax 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 of the multiples of 10 listed above has more factors?

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The Lagrange Challenge

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

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

Show how you can make 160, in TWO different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which is the ONLY number it’s 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 160 by inserting 5810 and 12 into the gaps on each line?

  •  ◯×◯+◯×◯ = 160
  •  ◯²+×÷ = 160
  •  ◯××(◯)² = 160

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The Main Challenge

Can you make all three lines work out arithmetically by placing the numbers 1, 2, 3, 4, 5, 6, 10, 11 and 12 into the nine gaps below?

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

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The 7puzzle Challenge

The playing board of Cheap Xanax 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 number, when 10 is added to it, becomes a multiple of 7?

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The Lagrange Challenge

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

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

Show how you can make 159, in SIX different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which is the ONLY number it’s 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 159 by inserting 146 and 10 into the gaps on each line?

  •  (+)²–(²+²) = 159
  •  ◯³+²+◯ = 159

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The Main Challenge

Here’s a 10-step number trail involving all four arithmetical operations together with the numbers 1, 2 and 3.

Starting with 10, carry out the following steps:

  • add 2
  • ×1
  • ÷3
  • 2
  • multiply by 3
  • +1
  • subtract 3
  • divide by 1
  • ×2
  • take away two

What is your final answer?

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The 7puzzle Challenge

The playing board of Cheap Xanax 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

Find two separate pairs of numbers that each have a difference of 44.

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The Lagrange Challenge

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

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

Show how you can make 158, in SIX different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?

9    18    27    36    45    54    63    72    81    90

#9TimesTable

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The Target Challenge

Can you arrive at 158 by inserting 7810 and 11 into the gaps below?

  •  ◯×◯+◯×◯ = 158

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The Main Challenge

Using each of the decimal numbers 0.1, 0.2, 0.3 and 0.4 once only, and with the four arithmetical operations + – × ÷ available, show how you can arrive at the target answer of 7.

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The 7puzzle Challenge

The playing board of Cheap Xanax 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 square numbers?

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The Lagrange Challenge

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

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

Show how you can make 157, in EIGHT different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

8    16    24    32    40    48    56    64    72    80

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The Target Challenge

Can you arrive at 157 by inserting 7810 and 11 into the gaps below?

  •  ◯×◯+◯×◯ = 157

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The Main Challenge

Can you make all four lines work out arithmetically by placing the digits 0-9 into the 16 gaps in our latest Buy Soma Medicine challenge?

◯  +  ◯   =    10    =   ◯  +  ◯
◯  +  ◯   =     1     =   ◯  –  ◯
◯  +  ◯   =    15    =   ◯  ×  ◯
◯  +  ◯   =     5     =   ◯  ÷  ◯

Note that each digit can only be inserted a maximum of TWICE.

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The 7puzzle Challenge

The playing board of Cheap Xanax 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 FOUR different numbers have a sum of 100?

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The Lagrange Challenge

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

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

Show how you can make 156, in SIX different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?

7    14    21    28    35    42    49    56    63    70

#7TimesTable

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The Target Challenge

Can you arrive at 156 by inserting 235 and 7 into the gaps in each line below?

  •  ◯²×◯+(◯–◯)² = 156
  •  (◯²+◯²)×(◯+◯) = 156
  •  (◯+◯)²+double(◯×◯) = 156

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The Main Challenge

Can you arrive at the target number 81 by using the five numbers 1, 2, 3, 4 and 5 exactly once each, and with + – ×  ÷ available?

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The 7puzzle Challenge

The playing board of Cheap Xanax 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

List three pairs of numbers that each have a difference of 9.

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The Lagrange Challenge

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

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

Show how you can make 155, in SIX different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 35 and 8 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?

6    12    18    24    30    36    42    48    54    60

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The Target Challenge

Can you arrive at 155 by inserting 3510 and 11 into the gaps in each line below?

  •  ◯×◯×◯–◯ = 155
  •  ◯×◯+◯²×◯ = 155

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