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The Main Challenge

From the following list of eighteen numbers, eliminate all square numbers, multiples of 8, factors of 60 and prime numbers.

3  4  7  10  11  15  16  17  24  27  30  32  36  48  49  54  56  64

What is the sum of the TWO numbers that remain?

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid of 49 different numbers, ranging from 2 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

How many even numbers, when halved, become odd 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 154, in TEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which are the only TWO numbers it’s 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 154 by inserting 5, 6, 7 and 8 into the gaps in each line below?

•  (◯×◯–◯)×◯ = 154
•  ◯²+◯²+◯²+◯ = 154

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The Main Challenge

Using the three numbers 4, 4 and 4 once each, with + – × ÷ available, there are just SIX target numbers from 1-30 that are mathematically possible to achieve.  Can you find them?

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid of 49 different numbers, ranging from 2 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 number, when 15 is subtracted from 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 153, in TEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which are the only TWO numbers it’s 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 153 by inserting 3, 4, 6 and 7 into the gaps in each line below?

•  (◯×◯–◯)×◯² = 153
•  ◯+◯×treble(◯+◯) = 153

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The Main Challenge

Using the three numbers 1, 2 and 4 just once each, with + – × ÷ available to you, what is the lowest positive number it is NOT possible to make?

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid of 49 different numbers, ranging from 2 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 TWO numbers listed have exactly four factors each?

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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 152, in THREE different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 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 152 by inserting 4, 8, 10 and 12 into the gaps on each line?

•  ◯×◯+◯×◯ = 152
•  (◯+◯)×◯–◯ = 152

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The Main Challenge

Solve all four lines arithmetically by filling the 16 gaps below with digits 0-9, but each digit must only be inserted a maximum of TWICE in the whole challenge:

◯  +  ◯   =     8     =   ◯  +  ◯
◯  +  ◯   =     3     =   ◯  –  ◯
◯  +  ◯   =    12    =   ◯  ×  ◯
◯  +  ◯   =     1     =   ◯  ÷  ◯

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid of 49 different numbers, ranging from 2 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 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 (4+1+1+1).

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The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 once each, with + – × ÷ available, find the SIX numbers it is 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 151 by inserting 4, 6, 9 and 11 into the gaps on each line?

•  ◯²+◯×◯+◯ = 151
•  ◯²+◯×◯–◯ = 151

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The Main Challenge

Find the sum of the numbers that remain after eliminating multiples of 3, 5 and 7 from all the odd numbers between 10 and 40.

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid containing 49 different numbers, ranging from 2 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

From the list, which three 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 150, in ELEVEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 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 150 by inserting 10, 20, 25 and 30 into the gaps on each line?

•  (◯+◯)×(◯–◯) = 150
•  ◯×◯–double(◯+◯) = 150

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The Main Challenge

You have been given the task of manually numbering a 100-page document from 1 to 100. How many digits will you write altogether?

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid containing 49 different numbers, ranging from 2 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

How many prime numbers and square numbers are listed altogether?

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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 149, in SIX different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which are the only TWO numbers it’s 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 149 by inserting 3, 4, 6 and 10 into the gaps on each line?

•  ◯²+◯²+◯²+◯ = 149
•  (◯+◯)²–double(◯+◯) = 149

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The Main Challenge

What is the lowest whole number that is NOT a multiple of 5, 6, 7, 11 or 13, nor a prime number, square number or cube number?

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid containing 49 different numbers, ranging from 2 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

From the above list, what is the sum of the multiples 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 148, in EIGHT different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 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 148 by inserting 4, 5, 12 and 20 into the gaps on each line?

•  (◯+◯+◯)×◯ = 148
•  ◯×◯+◯×◯ = 148

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The Main Challenge

Firstly, allocate numerical values to the following fifteen letters in the English alphabet:

E=3  F=9  G=6  H=1  I=–4  L=0  N=5  O=–7  R=–6  S=–1  T=2  U=8  V=–3  W=7  X=11

You’ll see that O+N+E adds up to 1 and T+W+O=2 and so on, but what is the biggest number it will make before this amazing trick stops working?  A must for you and your kids to try!

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid containing 49 different numbers, ranging from 2 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 halved, is also 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 147, in EIGHT different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 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 147 by inserting 2, 4, 7 and 10 into the gaps on each line?

•  ◯²×(◯+◯)÷◯ = 147
•  (◯+◯)²+◯–◯ = 147
•  ◯²+◯²+◯–◯ = 147

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The Main Challenge

Apart from 987631 (9+8+7+6+3+1), can you find the other FOUR ways to make 34 when adding together six unique digits from 1-9?

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid of 49 different numbers, ranging from 2 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

What is the sum of the multiples of 6?

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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 146, in NINE different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which are the only THREE numbers 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 146 by inserting 8, 9, 11 and 14 into the gaps on each line?

•  (◯+◯)×◯–◯ = 146
•  ◯²+◯+◯+√◯ = 146

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The Main Challenge

What is the total of the first SEVEN 3-digit numbers that are NOT multiples of 2 or 5?

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The 7puzzle Challenge

The playing board of Buy Adipex In Mexico is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 1st & 4th rows contain the following fourteen numbers:

2   3   9   10   14   15   22   32   35   40   44   54   60   72

What is the sum of the 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 EIGHT ways of making 145 when using Lagrange’s Theorem. Can you find them?

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The Mathematically Possible Challenge

Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which are the only THREE numbers it’s possible to make from the list below?

8    16    24    32    40    48    56    64    72    80

#8TimesTable

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The Target Challenge

Can you arrive at 145 by inserting 3, 4, 5 and 8 into the gaps on each line?

•  (◯×◯–◯)×◯ = 145
•  (◯+◯)²–double(◯×◯) = 145
•  (◯+◯)²+half(◯–◯) = 145

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