DAY 304:

Today’s Challenge

One to test your basic adding skills.  What is the total of all twenty-two separate digits when listing all whole numbers from 10-20 inclusive?

The 7puzzle Challenge

The playing board of the 7puzzle game 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 difference between the two square numbers?

Make 304 Challenge

Can you arrive at 304 by inserting 1, 2, 3, 4 and 5 into the gaps below?

◯⁵+◯⁴+◯³+◯–◯–7 = 304

Answers can be found here.

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

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DAY 303:

Today’s Challenge

Play the numerical part of our exciting Even More Possible board game by attempting this number puzzle.

Using 1, 5 and 10 once each, with + – × ÷ available, what are the EIGHT different even-numbered target numbers that are possible to make from 2-60?

The 7puzzle Challenge

The playing board of the 7puzzle game 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 5?

Make 303 Challenge

Can you arrive at 303 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯⁴–◯²–◯)÷(◯×◯) = 303

Answers can be found here.

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

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DAY 302:

Today’s Challenge

Using 2, 4 and 7 once each, with + – × ÷ available, list the ELEVEN different even-numbered target numbers that are mathematically possible to make from 2-60.

The 7puzzle Challenge

The playing board of the 7puzzle game 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 a set of four different multiples of 3 that have a sum of 99. Can you find a 2nd set?

Make 302 Challenge

Can you arrive at 302 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯–◯³)÷(◯×◯–◯) = 302

Answers can be found here.

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

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DAY 301:

Today’s Challenge

This number trail contains ten arithmetical steps. Start with the number 40, then:

  •  subtract twenty-six
  •  ÷7
  •  ×10
  •  30% of this
  •  multiply by 3
  •  two-thirds of this
  •  ×12
  •  double it
  •  add fifteen
  •  ÷3

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 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

How many multiples of 3 are on the list?

Make 301 Challenge

Can you arrive at 301 by inserting 2, 3, 4, 5 and 6 into the gaps below?

+◯³+◯×(◯–◯) = 301

Answers can be found here.

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

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DAY 300:

Today’s Challenge

Here’s a MATHELONA challenge for you to try based on the ones found in my pocket book. Full details of the pocket book can be found by clicking MATHELONA.

You must make all four lines work out arithmetically by replacing the 16 ◯’s with digits from 0 to 9.  Remember, each digit can only be inserted a maximum of twice:

◯  +  ◯   =    13    =   ◯  +  ◯
◯  +  ◯   =     8     =   ◯  –  ◯
◯  +  ◯   =    12    =   ◯  ×  ◯
◯  +  ◯   =     2     =   ◯  ÷  ◯

The 7puzzle Challenge

The playing board of the 7puzzle game 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 of the factors of 70 listed above?

Make 300 Challenge

Can you arrive at 300 by inserting 10, 20, 30, 40 and 50 into the gaps below?

◯²–◯×◯÷(◯–◯) = 300

Answers can be found here.

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

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DAY 299:

Today’s Challenge

Which is the only 2-digit number to have exactly seven factors?

. . . and an additional challenge for the number puzzle enthusiast; which is the only 3-digit number to have exactly seven factors?

The 7puzzle Challenge

The playing board of the 7puzzle game 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 of the two square numbers?

Make 299 Challenge

Can you arrive at 299 by inserting 8, 9, 10, 11 and 12 into the gaps below?

(◯+◯)×◯+(◯×◯) = 299

Answers can be found here.

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

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DAY 298:

Today’s Challenge

Read the following facts to work out which number I am today:

  •  I am a 2-digit number,
  •  One of my digits is odd, the other is even,
  •  I have six factors,
  •  I am a multiple of 5 but not a multiple of 10.

Who am I?

The 7puzzle Challenge

The playing board of the 7puzzle game 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 FOUR sets of three numbers that all have a sum of 100.

Make 298 Challenge

Can you arrive at 298 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯³×◯)+(◯×◯×◯) = 298

Answers can be found here.

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

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DAY 297:

Today’s Challenge

This is a typical number puzzle from Kojiro Tominga in Yokohama, Japan.

Using 5, 5, 5 and 5, with – × ÷ available, can you make the target numbers of 5, 10, 15, 20, 25, 30 and 35?

The 7puzzle Challenge

The playing board of the 7puzzle game 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 double the lowest multiple of 9 found on the list?

Make 297 Challenge

Can you arrive at 297 by inserting 1, 2, 3, 4 and 5 into the gaps below?

◯²×(◯+◯)×(◯²–◯) = 297

Answers can be found here.

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

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DAY 296:

Today’s Challenge

Using any five numbers from 1-5, with + – × ÷ available, can you find two different ways of arriving at the target number 86?

The 7puzzle Challenge

The playing board of the 7puzzle game 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 two largest odd numbers?

Make 296 Challenge

Can you arrive at 296 by inserting 1, 3, 5, 6 and 7 into the gaps below?

(◯×◯+◯)×(◯²–◯) = 296

Answers can be found here.

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

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DAY 295:

Today’s Challenge

. . . is from Volume 1 of our MATHELONA pocket book. You have a limited amount of numbers to work with, so can you make all three lines work out arithmetically by replacing the 12 ◯’s with these numbers?

1      2      2      2      3      4      4      4      8      8      8      8

◯  +  ◯   =     5     =   ◯  –  ◯
◯  +  ◯   =    16    =   ◯  ×  ◯
◯  +  ◯   =     4     =   ◯  ÷  ◯

Full details of our popular number puzzle can be found by clicking MATHELONA.

The 7puzzle Challenge

The playing board of the 7puzzle game 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

There are two numbers on the list that are consecutive. What is their sum?

Make 295 Challenge

Can you arrive at 295 by inserting 3, 3, 4, 5 and 6 into the gaps below?

(◯³÷◯–◯²–◯)×◯ = 295

Answers can be found here.

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

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