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The Main Challenge

What is the LOWEST whole number that satisfies all three criteria below?

  • it is the sum of five consecutive whole numbers,
  • it is the sum of two consecutive odd numbers,
  • it is the sum of three consecutive even numbers.

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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 6th & 7th rows of the playing board contain the following fourteen numbers:

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

List five different numbers that have a sum of 70.

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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 FOURTEEN different ways to make 198 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?

3    6    9    12    15    18    21    24    27    30

#3TimesTable

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The Target Challenge

Can you arrive at 198 by inserting 467 and 9 into the gaps on each line?

  •  (◯×◯–◯)×◯ = 198
  •  (treble◯+◯×√◯)×◯ = 198

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The Main Challenge

There is just one set of three consecutive numbers in ascending order whose sum is less than 50 and follow this sequence:

  •  prime number – cube number – square number

What is the sum of these three numbers?

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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 6th & 7th rows of the playing board 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 11?

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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).

Show how you can make 197, in SEVEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 once each, with + – × ÷ available, which FOUR numbers is it 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 197 by inserting 1411 and 14 into the gaps on each line?

  •  ◯×(◯+◯)–◯ = 197
  •  (◯+◯)²–(◯×double◯) = 197

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The Main Challenge

Here’s a 10-step number trail involving the four arithmetical operations, some 3-digit numbers, plus fractions and percentages.

Start with the number 2, then:

  • add three hundred and eighty
  • 292
  • +106
  • 50%
  • 1/2 of this
  • multiply by nine
  • 1/3 of this
  • 7
  • divide by seven
  • +7

What’s your answer?

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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 6th & 7th rows of the playing board contain the following fourteen numbers:

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

What is half of the highest even number?

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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).

Show how you can make 196, in TEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 once each, with + – × ÷ available, which FOUR numbers is it 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 196 by inserting 568 and 9 into the gaps on each line?

  •  (◯+◯)×(◯+◯) = 196
  •  (◯+◯)²+(◯×half◯) = 196
  •  (◯+◯)²–(²+half◯) = 196
  •  ◯³+◯–(◯+double◯) = 196
  •  ◯³+◯–(◯²+√◯) = 196

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The Main Challenge

In this Kakuro-style question, can you list the ONLY way possible to make 16 when adding together five 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 containing 49 different numbers, ranging from 2 up to 84.

The 4th & 5th rows of the playing board contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

How many pairs of numbers differ by exactly 10?

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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).

Show how you can make 195, in TEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 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 195 by inserting 5, 8, 13 and 18 into the gaps on each line?

  •  (◯+◯+◯)×◯ = 195
  •  (◯+◯–◯)×◯ = 195

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The Main Challenge

This is similar in style to the challenges found at our popular Buy Diazepam In Uk number puzzle pocket book. Click the link for more details.

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

Can you insert 0 0 1 1 2 3 3 4 and 4 into the nine gaps above so that all three lines work out arithmetically?

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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 4th & 5th rows of the playing board contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

List THREE sets of three different numbers, each having a sum of 77.

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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).

Show how you can make 194, in ELEVEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 once each, with + – × ÷ available, which FOUR 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 194 by inserting 6, 8, 10 and 12 into the gaps on each line?

  •  (◯+◯)×◯–◯ = 194
  •  double(◯×◯)+√(◯–◯) = 194

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The Main Challenge

When playing Diazepam 10 Mg Buy Online, players must analyse which numbers can (or can’t) be made from the three numbers rolled on their dice.

Using the numbers 3, 4 and 6, with + – × ÷ available, which THREE of the following target numbers are NOT mathematically possible to achieve?

1   2   3   5   6   7   8   10   12   13   14   18   21   22   24   27   30

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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 4th & 5th rows of the playing board contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

What is the difference between the sum of the multiples of 5 and sum of the multiples of 6?

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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).

Show how you can make 193, in EIGHT different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 once each, with + – × ÷ available, which SIX numbers is it 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 193 by inserting 7, 10, 11 and 13 into the gaps on each line?

  •  ◯×(◯+◯)+◯ = 193
  •  ◯²+◯²+◯+◯ = 193

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The Main Challenge

This is a number puzzle taken from my scrapbook of brainteasers, a favourite of mine, and used regularly as a mental maths starter in my workshops over the years!

You have a 6-sector dartboard containing the numbers 16 17 23 24 39 and 40. Your task is to achieve EXACTLY 100 when adding your scores together. This can be done by throwing any number of darts, each of which can land in any sector more than once.

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There is only ONE way of achieving a score of 100. How can it be done?

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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 4th & 5th rows of the playing board contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

List two pairs of numbers that differ by 19.

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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).

Show how you can make 192, in just TWO different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 once each, with + – × ÷ available, which are the only TWO numbers is it 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 192 by inserting 4, 6, 8 and 10 into the gaps on each line?

  •  (◯+◯)×(◯+◯) = 192
  •  (◯×◯–◯)×◯ = 192
  •  double(◯×(◯+◯))–◯ = 192

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The Main Challenge

This is a very special challenge personally endorsed by Robert Sun, inventor of the world-famous maths card game, 24game®.

The idea is very simple; make 24 from the card below by using the four numbers exactly once each, and with + – × ÷ available.

(The three dots in each corner signifies a hard level of challenge)

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Can you also make 24 from the following two combinations using the same rules?

  •  1   5   5   5
  •  4   4   7   7

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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 4th & 5th rows of the playing board contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

What is the sum when adding together all the multiples of 7?

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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).

Show how you can make 191, in FIVE different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 once each, with + – × ÷ available, which THREE numbers is it 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 191 by inserting 7, 11, 19 and 25 into the gaps on each line?

  •  ◯×◯+◯–◯ = 191
  •  ◯×◯+double(◯–◯) = 191

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The Main Challenge

This is the 3rd, and final, part of a number puzzle posted initially on Buy Soma Medicine, then on Buy Ambien Online India, and made famous by French writer, George Perec.

The challenge involves using seven 7′s (7 7 7 7 7 7 and 7) once each, with + – × and ÷ available, to make various target numbers.

For instance, to make 9 in the previous challenge on DAY 180, you could have done:

  • [7 + (7÷7) + (7÷7)] × (7÷7) = 9

In previous challenges, we made every target number from 1 through to 9 with seven 7’s, so for today’s time-consuming task:

Part 1:  Show how to make all target numbers from 10 through to 19.

Part 2: Which is the first number after 19 that is impossible to make with seven 7’s?

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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 up to 84.

The 2nd & 3rd rows contain the following fourteen numbers:

8   13   17   25   28   36   42   45   48   55   63   64   66   80

Which two numbers have a difference of 13?

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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 190, in EIGHT different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 once each, with + – × ÷ available, which SIX numbers is it 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 190 by inserting 4, 5, 6 and 14 into the gaps on each line?

  •  (◯+◯)×(◯+◯) = 190
  •  (◯×◯+◯)×◯ = 190
  •  ◯²–◯×(◯–◯) = 190

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The Main Challenge

Can you insert the numbers 1-9, exactly once each, into the gaps below so that all three lines work out arithmetically?

◯   +   ◯   =   ◯
◯   –   ◯   =   ◯
◯   ÷   ◯   =   ◯

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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 up to 84.

The 2nd & 3rd rows contain the following fourteen numbers:

8   13   17   25   28   36   42   45   48   55   63   64   66   80

Which number, when 20 is added to it, becomes a square number?

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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 189, in ELEVEN different ways, when using Lagrange’s Theorem.

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The Mathematically Possible Challenge

Using 34 and 12 once each, with + – × ÷ available, which SIX numbers is it possible to make from the list below?

6    12    18    24    30    36    42    48    54    60

#6TimesTable

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The Target Challenge

Can you arrive at 189 by inserting 3, 4, 5 and 7 into the gaps on each line?

  •  ◯×◯×(◯+◯) = 189
  •  (◯+◯–◯)³+◯³ = 189

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