DAY 135:

Today’s Challenge

Here’s a number trail involving 16 arithmetical steps.  Start with the number 2, then:

  •  +33
  •  divide by seven
  •  ×3
  •  add ten percent
  •  double this
  •  add three
  •  find the square root of this
  •  +7
  •  1/2 of this
  •  add nineteen point five
  •  subtract two
  •  ÷6
  •  +15
  •  ×5
  •  –93
  •  ÷2

What is your final answer?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 3rd & 6th rows of the playing board contain the following fourteen numbers:

5   12   13   18   20   25   33   36   42   45   49   56   66   80

Which two numbers, when doubled, are also present on the list?

Make 135 Challenge

Can you arrive at 135 by inserting 4, 5, 9 and 12 into the gaps on each line?

  •  ◯²–◯×(◯–◯) = 135
  •  ◯×◯×◯÷◯ = 135
  •  (◯+◯)²+half(◯×◯) = 135

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 134:

Today’s Challenge

Read the following facts to work out my numerical value:

  •  I am a single digit number,
  •  If you add 6 to me I become a 2-digit number,
  •  I am an odd number,
  •  I am not a square number,
  •  I am a factor of 30.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 3rd & 6th rows of the playing board contain the following fourteen numbers:

5   12   13   18   20   25   33   36   42   45   49   56   66   80

What is the difference between the highest prime number and the highest odd number?

Make 134 Challenge

Can you arrive at 134 by inserting 2, 3, 5 and 6 into the gaps on each line?

  •  ◯³+◯×◯÷◯ = 134
  •  (◯+◯)²+◯²+◯² = 134

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 133:

Today’s Challenge

Group these ten numbers into five pairs so that the difference between the two numbers in each pair is exactly divisible by seven:

6    17    28    37    45    58    64    78    83    98

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 3rd & 6th rows of the playing board contain the following fourteen numbers:

5   12   13   18   20   25   33   36   42   45   49   56   66   80

From the list, what is the sum of the multiples of 7?

Make 133 Challenge

Can you arrive at 133 by inserting 10, 11, 13 and 20 into the gaps on each line?

  •  ◯×◯+◯–◯ = 133
  •  ◯×◯+√(◯–◯) = 133

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 132:

Today’s Challenge

The 15 arithmetical steps below include percentage & fraction calculations as well as big additions & multiplications:

Start with the number 28, then:

  •  subtract seventy-five percent
  •  +69
  •  –4
  •  1/2 of this
  •  square root of this
  •  ×15
  •  multiply by one
  •  +80%
  •  –10
  •  add four hundred and sixty-five
  •  subtract three hundred and seventeen
  •  two-thirds of this
  • ×0.5
  •  increase by 10%
  •  decrease by 10%

What is your final answer?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 3rd & 6th rows of the playing board contain the following fourteen numbers:

5   12   13   18   20   25   33   36   42   45   49   56   66   80

Which of these numbers, when 65 is added to it, becomes a square number?

Make 132 Challenge

Can you arrive at 132 by inserting 4, 5, 6 and 8 into the gaps on each line?

  •  (◯+◯)×(◯+◯) = 132
  •  (◯×◯–double◯)×◯ = 132

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 131:

Today’s Challenge

Can you insert the numbers 0 to 9 exactly twice each into the gaps below so all five lines work out arithmetically?

◯  +  ◯   =    15    =   ◯  +  ◯
◯  +  ◯   =     5     =   ◯  –  ◯
◯  +  ◯   =    10    =   ◯  ×  ◯
◯  –  ◯   =     2     =   ◯  ÷  ◯
◯  +  ◯   =     9     =   ◯  ×  ◯

If you enjoyed attempting this tricky puzzle, click this MATHELONA link for details of our slightly easier pocket book challenges.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 3rd & 6th rows of the playing board contain the following fourteen numbers:

5   12   13   18   20   25   33   36   42   45   49   56   66   80

What is the sum of the numbers in the forties?

Make 131 Challenge

Can you arrive at 131 by inserting 4, 5, 7 and 9 into the gaps on each line?

  •  ◯×◯×◯–◯ = 131
  •  ◯×◯×√◯+◯ = 131

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 130:

Today’s Challenge

Can you replace the 12 ◯’s below with the 12 numbers 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7 and 8 so that all four equations work out arithmetically?

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

Click MATHELONA for details of similar pocket-book challenges.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 2nd & 4th rows of the playing board contain the following fourteen numbers:

3   8   10   17   28   32   35   44   48   54   55   60   63   64

What is the difference between the sum of the multiples of 8 and the sum of the multiples of 7?

Make 130 Challenge

Can you arrive at 130 by inserting 2, 3, 5 and 10 into the gaps on each line?

  •  (◯+◯)×◯×◯ = 130
  •  (◯×◯–◯)×◯ = 130
  •  ◯²+◯²+◯²–◯² = 130

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 129:

Today’s Challenge

With the four arithmetical operations + – × ÷ available, use all four numbers 1, 1.5, 3 and 4 once each in your attempt to arrive at the target answer of 7.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 2nd & 4th rows of the playing board contain the following fourteen numbers:

3   8   10   17   28   32   35   44   48   54   55   60   63   64

Which four different numbers from the above list have a sum of 100?

Make 129 Challenge

Can you arrive at 129 by inserting 3, 8, 9 and 12 into the gaps on each line?

  •  ◯²+◯–◯×◯ = 129
  •  ◯×(◯+◯)–√◯ = 129
  •  double◯²+◯÷(◯+◯) = 129

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 128:

Today’s Challenge

Using all four decimal numbers 0.4, 0.8, 1.2 and 3.5 once each, and with + – × ÷ available, can you arrive at the target answer of 7?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 2nd & 4th rows of the playing board contain the following fourteen numbers:

3   8   10   17   28   32   35   44   48   54   55   60   63   64

What is the difference between the two prime numbers listed above?

Make 128 Challenge

Can you arrive at 128 by inserting 4, 8, 10 and 12 into the gaps on each line?

  •  ◯×◯+◯×◯ = 128
  •  ◯×◯+◯²–◯ = 128
  •  ◯⁴×◯÷(◯+◯) = 128

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 127:

Today’s Challenge

With the four arithmetical operations + – × ÷ available, use all four numbers 1, 1.5, 2 and 6 once each in your attempt to make the target answer of 7.

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 2nd & 4th rows of the playing board contain the following fourteen numbers:

3   8   10   17   28   32   35   44   48   54   55   60   63   64

What is the sum of the factors of 64?

Make 127 Challenge

Can you arrive at 127 by inserting 4, 7, 8 and 10 into the gaps on each line?

  •  (◯+◯)×◯+◯ = 127
  •  ◯²+◯×◯–◯ = 127
  •  ◯²+◯+◯+double◯ = 127

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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DAY 126:

Today’s Challenge

You have SIX each of 7puzzleland‘s brand-new 4p and 7p coins. Your task is to try and make various amounts from 20p and above with these coins.

As shown here, the first few have been done for you:

  • 20p can be made from 5 × 4p coins,
  • 21p from 3 × 7p coins,
  • 22p from 2 × 7p coins and 2 × 4p coins . . .

From 20p upwards, what is the lowest amount you CANNOT make from your 12 coins?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from up to 84.

The 2nd & 4th rows of the playing board contain the following fourteen numbers:

3   8   10   17   28   32   35   44   48   54   55   60   63   64

What is the difference between the highest multiple of 11 and lowest multiple of 7?

Make 126 Challenge

Can you arrive at 126 by inserting 2, 3, 6 and 9 into the gaps on each line?

  •  ◯×◯×(◯–◯) = 126
  •  ◯×(◯×◯–◯²) = 126
  •  ◯²×◯+◯×◯ = 126
  •  ◯³×◯–◯²×◯ = 126
  •  ◯²×◯+double(◯×◯) = 126

Answers can be found here.

Click Paul Godding for details of online maths tuition. Wherever you are in the world, please get in touch.

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