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The Main Challenge

How many 3-digit numbers contain at least two 7’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 4th & 7th columns contain the following fourteen numbers:

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Which FIVE numbers become prime numbers when 5 is added to each of them?

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The Factors Challenge

Which numbers below are factors of 347?

3    5    7    9    11    13    None of them

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The Mathematically Possible Challenge

Using 13 and 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 347 by inserting 2, 4, 5, 10 and 20 into the gaps below?

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The Main Challenge

This is a problem-solving question from a typical Eleven Plus exam many years ago. Can today’s generation solve it?

Twice one hundred and sixty-eight added to four times another number gives a total of four hundred and eighty. What is the other number?

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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 4th & 7th columns contain the following fourteen numbers:

3   5   6   9   20   24   28   32   42   50   63   66   72   77

Which two numbers above, when multiplied by 7, have their answers appearing on the list?

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The Factors Challenge

Which numbers below are factors of 346?

4    6    8    10    12    14    16    18    None of them

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The Mathematically Possible Challenge

Using 13 and once each, with + – × ÷ available, which are the only TWO 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 346 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  ◯³×◯(+)²–² = 346

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The Main Challenge

A gentle logic puzzle for all members of the family to try.

Can you correctly insert the numbers 1-9, once each, into the 3-by-3 grid by following these rules?

  • Rule 1:  1 is in the top right-hand corner
  • Rule 2:  3 and 8 are also in the top row
  • Rule 3:  2 is on the left-hand side of the middle row,
  • Rule 4:  4 and 6 are both in the bottom row
  • Rule 5:  8 and 7 are in the left-hand column
  • Rule 6:  6 and 9 are in the right-hand column

x              x               x

x              x               x

x              x               x

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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 & 6th columns contain the following fourteen numbers:

7   13   21   22   27   30   36   40   49   54   55   56   60   64

Find three pairs of numbers that each total 43.

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The Factors Challenge

Which FOUR numbers below are factors of 345?

3    5    7    9    11    13    15    17    19    21    23    25

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The Mathematically Possible Challenge

Using 13 and once each, with + – × ÷ available, which FIVE numbers is it 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 345 by inserting 5, 10, 15, 20 and 25 into the gaps on each line below?

  •  (+÷√◯)×(◯+◯) = 345
  •  (+◯)×◯–◯÷◯ = 345

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The Main Challenge

Can you find the 4-digit number that has all these properties?

  •  its second digit is twice the first,
  •  its fourth digit is three times the third,
  •  all its digits are different,
  •  no two of its digits are consecutive.

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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 & 6th columns contain the following fourteen numbers:

7   13   21   22   27   30   36   40   49   54   55   56   60   64

Which two numbers, when each is doubled, also appear on the list?

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The Factors Challenge

Which numbers below are factors of 344?

2     3     4     5     6     7     8     9

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The Mathematically Possible Challenge

Using 13 and once each, with + – × ÷ available, which THREE numbers are NOT 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 344 by inserting 1, 2, 3, 4 and 5 into the gaps below?

  •  ◯⁵+◯×◯²+◯–◯ = 344

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The Main Challenge

Follow the rules and eliminate every number, except one.

From the numbers 1-50, eliminate:

  • all numbers containing 1, 3, 5 or 7
  • even numbers
  • square numbers

There is just one number left, which one?

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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 3rd & 5th columns contain the following fourteen numbers:

4   8   11   12   14   15   17   18   25   35   44   80   81   84

What is the difference between the highest multiples of 8 and 9?

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The Factors Challenge

Which is the ONLY number below that is a factor of 343?

3    5    7    9    11    13    15    17    19

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The Mathematically Possible Challenge

Using 29 and 12 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

100   101   102   103   104   105   106   107   108   109

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The Target Challenge

Can you arrive at 343 by inserting 1, 2, 3, 4 and 5 into the gaps on each line below?

  •  (◯+◯+◯–◯–◯)³ = 343
  •  (◯×◯×◯–◯×◯)³ = 343

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The Main Challenge

. . . is a regular favourite of ours where at least one decimal number is present when trying to arrive at our signature target number, 7.

Using the numbers 0.25, 2, 4 and 6 once each, and with the four arithmetical operations – × ÷ available, can you arrive at 7 using TWO completely 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 2 up to 84.

The 3rd & 5th columns contain the following fourteen numbers:

4   8   11   12   14   15   17   18   25   35   44   80   81   84

How many pairs of consecutive numbers are listed?

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The Factors Challenge

Which FOUR numbers below are factors of 342?

2     3     4     5     6     7     8     9

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The Mathematically Possible Challenge

Using 29 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

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The Target Challenge

Can you arrive at 342 by inserting 2, 3, 4, 5 and 5 into the gaps below?

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The Main Challenge

All the following 3-digit numbers are divisible by 4, except one!  Which one is it?

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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 & 7th columns contain the following fourteen numbers:

2   5   9   10   16   24   28   32   33   45   48   50   66   70

What is the product of the single-digit numbers?

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The Factors Challenge

Which is the ONLY number below that is a factor of 341?

3    5    7    9    11    13    15    17    19

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The Mathematically Possible Challenge

Using 29 and 12 once each, with + – × ÷ available, which is the ONLY number that is possible to make from the list below?

1    4    9    16    25    36    49    64    81    100

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The Target Challenge

Can you arrive at 341 by inserting 2, 3, 4, 5 and 6 into the gaps on both lines?

  •  (◯²–◯–◯)×(◯²–◯) = 341
  •  (◯+◯)³–(◯×◯)÷◯ = 341

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The Main Challenge

List the only two numbers below 100 that have exactly 10 factors.

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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 & 7th columns contain the following fourteen numbers:

2   5   9   10   16   24   28   32   33   45   48   50   66   70

What is the sum of the multiples of 9?

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The Factors Challenge

Which TWO numbers below are not factors of 340?

2    4    5    8    10    14    17    20    34

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The Mathematically Possible Challenge

Using 29 and 12 once each, with + – × ÷ available, which is the ONLY number that is possible to make from the list below?

12    24    36    48    60    72    84    96    108    120

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The Target Challenge

Can you arrive at 340 by inserting 3, 4, 5, 10 and 17 into the gaps below?

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Clues are given to help you find a particular number from the following facts:

  • I am a 2-digit number represented by just one word when written in English,
  • On one side of me is a multiple of 3, on the other side is a multiple of 4,
  • When you add 8 to me, I become a square number.

Who am I?

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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 4th & 6th columns contain the following fourteen numbers:

3   6   7   20   30   36   40   42   49   54   63   64   72   77

Can you find four different numbers from the list that have a sum of exactly 100?

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The Factors Challenge

Which is the ONLY number below that is a factor of 339?

3    5    7    9    11    13    15    17    19

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The Mathematically Possible Challenge

Using 29 and 12 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

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The Target Challenge

Can you arrive at 339 by inserting 2, 3, 5, 6 and 7 into the gaps below?

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The Main Challenge

Here’s a number trail involving 12 arithmetical steps.

Start with the number 21, then:

  • 1/3 of this
  • multiply by seven
  • +23
  • ÷3
  • +75%
  • +5
  • 7
  • Find 10% of this
  • Square this
  • +2
  • Double this
  • Square root of this

What is your final answer?

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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 4th & 6th columns contain the following fourteen numbers:

3   6   7   20   30   36   40   42   49   54   63   64   72   77

Which two numbers, when 10 is added to them, both become square numbers?

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The Factors Challenge

Which is the ONLY number below that is a factor of 338?

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The Mathematically Possible Challenge

Using 29 and 12 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

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The Target Challenge

Can you arrive at 338 by inserting 2, 3, 4, 6 and 7 into the gaps below?

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