DAY 125:

Today’s Challenge

Using the numbers 3, 4 and 5 just once each, and with + – × ÷ available, only four of the numbers on the list below are possible to achieve. Which ones are they?

1    3    6    9    10    12    15    18    21    24    27    30

Full details of our popular arithmetic & strategy board game can be found at it’s own dedicated website, mathematicallypossible.com.

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 1st & 7th rows of the playing board contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

Which multiple of 5, when subtracting 4 from it, becomes a square number?

Make 125 Challenge

Can you arrive at 125 by inserting 5, 10, 15 and 20 into the gaps on each line?

  •  ◯×◯+◯+◯ = 125
  •  ◯×◯–◯×◯ = 125
  •  ◯²–◯×(◯–◯) = 125
  •  (◯+◯)×(◯–◯) = 125
  •  ◯×◯+◯+double◯ = 125

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 124:

Today’s Challenge

A palindromic number is a number that can be read the same forwards and backwards (e.g. 333 and 797).  How many palindromic numbers are there between 100 and 1,000?

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 1st & 7th rows of the playing board contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

What is the sum of the multiples of 9?

Make 124 Challenge

Can you arrive at 124 by inserting 5, 8, 10 and 16 into the gaps on each line?

  •  (◯+◯)×◯+√◯ = 124
  •  ◯×◯–(◯÷◯)² = 124
  •  (◯–◯÷◯)×◯ = 124

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 123:

Today’s Challenge

Follow the rules and eliminate numbers from a given list, except one.  From the numbers 1-30 inclusive, delete:

  • multiples of 5
  • factors of 36
  • numbers containing a ‘7’
  • prime numbers
  • even numbers

Which is the only number that remains?

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 1st & 7th rows of the playing board contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

Which three different numbers on the list have a sum of 100?

Make 123 Challenge

Can you arrive at 123 by inserting 3, 9, 10 and 12 into the gaps on each line?

  •  ◯×◯+◯÷◯ = 123
  •  ◯×◯+half(◯×◯) = 123
  •  (◯+◯)×◯+half◯ = 123

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 122:

Today’s Challenge

Find the sum of the first SEVEN whole numbers that has a 3 or 5 as part of their number OR are multiples of 3 or 5.

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 1st & 7th rows of the playing board contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

What is the difference between the highest and lowest multiples of 10?

Make 122 Challenge

Can you arrive at 122 by inserting 2, 4, 7 and 10 into the gaps on each line?

  •  ◯²+◯×(◯+◯) = 122
  •  (◯+◯)²–double(◯+◯) = 122
  •  ◯⁴÷◯+double(◯–◯) = 122

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 121:

Today’s Challenge

Read the following facts below about a particular number:

  •  I am a 2-digit number,
  •  I am an even number,
  •  When my two digits are added together they make another 2-digit even number that is also a square number.

What is my number?

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 1st & 7th rows of the playing board contain the following fourteen numbers:

2   4   9   11   14   15   22   24   27   30   40   70   72   77

What is the difference between the sum of the multiples of 11 and the sum of the multiples of 10?

Make 121 Challenge

Can you arrive at 121 by inserting 4, 5, 6 and 7 into the gaps on each line?

  •  (◯+◯)×(◯+◯) = 121
  •  (◯+◯)²×(◯–◯) = 121
  •  ◯³–◯×(◯–◯) = 121

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 120:

Today’s Challenge

Your task is to make the target number of 10 by adding together five numbers. You are limited to using 1 to 5, but these can be used any number of times in each sum.

One way to make 10 is 5+2+1+1+1 (or 52111); can you find the other FIVE ways?

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 5th & 6th rows of the playing board contain the following fourteen numbers:

5   6   7   12   16   18   20   21   33   49   50   56   81   84

What is the sum of the multiples of 6?

Make 120 Challenge

Can you arrive at 120 by inserting 3, 4, 5 and 6 into the gaps on each line?

  •  (◯+√◯)×◯×◯ = 120
  •  (◯×◯)²×◯÷◯ = 120
  •  double(◯+◯)²×◯÷◯ = 120

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 119:

Today’s Challenge

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

1    2    3    4    6    8    9    12    15    18    21    24

This is from our innovative board game, Mathematically Possible, details of which can be found by visiting the game’s own website.

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 5th & 6th rows of the playing board contain the following fourteen numbers:

5   6   7   12   16   18   20   21   33   49   50   56   81   84

Which number, when adding 50 to it, becomes a square number?

Make 119 Challenge

Can you arrive at 119 by inserting 2, 6, 9 and 11 into the gaps on each line?

  •  (◯+◯)×(◯–◯) = 119
  •  ◯×◯×◯+◯ = 119

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 118:

Today’s Challenge

A traditional clock was numbered √1, √4, √9 . . . √144 around its circumference. Every digit is represented on the clock, except one:

  1.  What is this missing digit?
  2.  Which is the first square number to contain this missing digit?
  3.  If this clock was developed into a 24-hour clock, would it now contain the missing digit?

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 5th & 6th rows of the playing board contain the following fourteen numbers:

5   6   7   12   16   18   20   21   33   49   50   56   81   84

When finding the factors of 40 listed above, what is their sum?

Make 118 Challenge

Can you arrive at 118 by inserting 1, 2, 4 and 5 into the gaps on each line?

  •  ◯³+◯–◯×◯ = 118
  •  (◯³–◯×◯)×◯ = 118

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 117:

Today’s Challenge

Can you place the 12 numbers 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8 and 10 into the 12 gaps below so all four lines work out arithmetically?

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

If you enjoy this type of number puzzle, click on this MATHELONA link.

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 5th & 6th rows of the playing board contain the following fourteen numbers:

5   6   7   12   16   18   20   21   33   49   50   56   81   84

Which four different numbers have a sum of 100?

Make 117 Challenge

Can you arrive at 117 by inserting 3, 6, 9 and 12 into the gaps on each line?

  •  ◯×◯+◯+◯ = 117
  •  ◯²+◯×(◯–◯) = 117   (2 different ways!)

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 116:

Today’s Challenge

All of the following 3-digit numbers are divisible by 3, but only one is a also a multiple of 9. Which one is it?

237  276  303  336  495  528  582  660  744  771  888  939

[Note: Get in touch if you don’t know the quick trick to find this out.]

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 5th & 6th rows of the playing board contain the following fourteen numbers:

5   6   7   12   16   18   20   21   33   49   50   56   81   84

What is the difference between the highest and lowest multiples of 7?

Make 116 Challenge

Can you arrive at 116 by inserting 2, 3, 4 and 9 into the gaps on each line?

  •  (◯×◯+◯)×◯ = 116
  •  ◯³+◯²+◯²³ = 116
  •  ◯³×◯(◯+◯) = 116

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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