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The Main Challenge

Can you place the 12 numbers 0 1 2 2 3 3 4 6 6 7 9 and 9 into the 12 gaps below so that all three lines work out arithmetically?

◯  +  ◯   =     6     =   ◯  –  ◯
◯  +  ◯   =    18    =   ◯  ×  ◯
◯  +  ◯    =    3     =   ◯  ÷  ◯

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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 triangular 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 is only ONE way of making 56 when using Lagrange’s Theorem. Can you find it?

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The Mathematically Possible Challenge

Using 16 and once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

3    6    9    12    15    18    21    24    27    30

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The Target Challenge

Can you arrive at 56 by inserting 2, 4, 6 and 8 into the gaps on each line?

  •  ◯×◯+◯×◯ = 56
  •  ◯²+×◯+ = 56
  •  (◯+)×◯–◯ = 56
  •  (◯+)×◯–◯⁴ = 56
  •  ◯×(◯+◯÷◯) = 56
  •  (◯+◯)×(◯–◯)² = 56

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The Main Challenge

‘Can You Pass A Simple Math Test?’ was published in the USA in an attempt to emphasise the importance of adult numeracy skills. It contains five multiple choice questions.

Simply answer a, b, c or d each time:

  1. How many seconds are in 2 hours?   a)8,300  b)7,200  c)3,600  d)9,000
  2. What is (4×5)+(718÷3)?   a)42  b)74  c)23  d)21
  3. Calculate 235×13.   a)3,125  b)3,055  c)3,575  d)3,315
  4. If c+d=d, what must the value of c equal?   a)1  b)0.5  c)0  d)1
  5. Which decimal number is equivalent to 3/5?   a)0.35  b)0.53  c)0.6  d)0.3

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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 multiples of 9?

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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 THREE ways of making 55 when using Lagrange’s Theorem. Can you find them?

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The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

90    91    92    93    94    95    96    97    98    99

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The Target Challenge

Can you arrive at 55 by inserting 2, 5, 10 and 15 into the gaps on each line?

  •  ◯×◯–◯×◯ = 55
  •  (◯+◯)×◯+◯ = 55
  •  (◯+◯)×◯–◯ = 55
  •  (◯–◯)×◯+◯ = 55
  •  (◯–◯)×◯–◯ = 55

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The Main Challenge

Solve this Octaplus puzzle by finding the values of the eight letters, A to H, from the given clues. Each letter contains a different whole number in the range 1-32:

  1.  D minus B is an even number,
  2.  a third of D is an even number,
  3.  G minus B is either 16 or 17,
  4.  C is half of G, and E is half of C
  5.  H is a third of B,
  6.  D is equal to C plus H,
  7.  F is either 18 or 20,
  8.  A is 120 minus the sum of the other seven numbers.

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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 three different numbers from the list have 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).

There are FIVE ways of making 54 when using Lagrange’s Theorem. Can you find them?

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The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?

80    81    82    83    84    85    86    87    88    89

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The Target Challenge

Can you arrive at 54 by inserting 2, 5, 8 and 12 into the gaps on each line?

  •  ◯×◯+◯+◯ = 54
  •  ◯×◯+◯–◯ = 54
  •  (◯–◯)×◯–◯ = 54
  •  (³√◯+◯÷◯)×◯ = 54

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The Main Challenge

From the numbers below, eliminate all:

  • square numbers,
  • triangular numbers,
  • multiples of 4 and
  • factors of 70.

1  2  3  4  5  6  7  8  9  10  12  14  15  16  18  20  21  24  25

Which is the only number left remaining?

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The 7puzzle Challenge

The playing board of Buy Phentermine Australia 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 difference between the lowest and highest 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 THREE ways of making 53 when using Lagrange’s Theorem. Can you find them?

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The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

70    71    72    73    74    75    76    77    78    79

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The Target Challenge

Can you arrive at 53 by inserting 4, 4, 5 and 6 into the gaps on each line?

  •  (◯+◯)×◯+◯ = 53
  •  ◯²+◯×◯+◯ = 53
  •  ◯²×◯–(◯+◯) = 53

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The Main Challenge

Find the sum of the only FIVE 2-digit numbers that are even, has its digits adding up to more than 10 and are not multiples of 3, 4 or 7.

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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 factors of 36 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 FIVE ways of making 52 when using Lagrange’s Theorem. Can you find them all?

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The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

60    61    62    63    64    65    66    67    68    69

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The Target Challenge

Can you arrive at 52 by inserting 4, 6, 8 and 9 into the gaps on each line?

  •  ◯×◯–◯÷◯ = 52
  •  ◯²–(◯+√◯×√◯) = 52
  •  ◯²+◯×(◯–◯)² = 52
  •  (√◯×◯+◯)×√ = 52

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The Main Challenge

Using each of the numbers 0.1, 0.5, 3 and 6 once each, and with the four arithmetical operations available, can you arrive at the target answer of 7 in two different ways?

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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 three different numbers have a sum that is also on the 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 THREE ways of making 51 when using Lagrange’s Theorem. Can you find them?

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The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which THREE 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 51 by inserting 4, 5, 6 and 7 into the gaps on each line?

  •  (+)×◯+◯ = 51
  •  ◯²+(◯+◯)÷ = 51
  •  ◯×◯++◯ = 51
  •  ◯×(◯+√◯)– = 51
  •  ()²×+◯ = 51

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The Main Challenge

Using the numbers 4, 5 and 6 once each, together with + – × ÷, which THREE target numbers from the following list are NOT mathematically possible to make?

2    3    4    5    6    7    10    12    14    15    19    20    26    29    30

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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

What is the difference between the highest and lowest 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).

There are FIVE ways of making 50 when using Lagrange’s Theorem. Can you find them all?

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The Mathematically Possible Challenge

Using 89 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

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The Target Challenge

Can you arrive at 50 by inserting 2, 5, 10 and 20 into the gaps on each line?

  •  ²–◯×◯÷ = 50
  •  (+)×◯+◯ = 50
  •  ◯⁵+◯–◯÷◯ = 50

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The Main Challenge

You roll two normal six-sided dice, both containing the numbers 1-6.  When multiplying the two numbers that show, how many DIFFERENT answers is it possible to obtain?

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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

What is the sum of the factors of 90?

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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 FOUR ways of making 49 when using Lagrange’s Theorem. Can you find them?

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The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

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The Target Challenge

Can you arrive at 49 by inserting 1, 2, 3 and 4 into the gaps on each line?

  •  (+)²×()² = 49
  •  (+)²×√◯ = 49
  •  ◯(+)×◯ = 49

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The Main Challenge

What is the biggest integer (whole number) less than 630,000 that can be written using all six digits 1 to 6?

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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

From the list, find three different numbers that have a sum of 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 TWO ways of making 48 when using Lagrange’s Theorem. Can you find both?

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The Mathematically Possible Challenge

Using 89 and 10 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

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The Target Challenge

Can you arrive at 48 by inserting 4, 4, 5 and 8 into the gaps on each line?

  •  ◯×◯+◯+ = 48
  •  ◯×◯×(◯–◯) = 48
  •  ◯²+–(◯×◯) = 48

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The Main Challenge

If you multiply a certain number by 3 and then add 30, the result is the same as if you firstly added 17 to this particular number and then multiplied by 2.

Which number in the range 1 to 9 must this be?

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The 7puzzle Challenge

The playing board of Buy Qualitest Phentermine 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

What is the product of the lowest number and highest 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).

There are TWO ways of making 47 when using Lagrange’s Theorem. Can you find both?

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The Mathematically Possible Challenge

Using 89 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

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The Target Challenge

Can you arrive at 47 by inserting 2, 6, 7 and 10 into the gaps on each line?

  •  ◯×◯+◯÷ = 47
  •  ◯²(◯+◯)÷ = 47
  •  (◯+◯)²–(+◯) = 47

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