DAY 284:

Today’s Challenge

Another MATHELONA challenge with a difference – no addition calculations at all.

Your task is to make all four lines work out arithmetically by replacing the 16 ◯’s with digits from 0 to 9.  Each digit can only be inserted a maximum of twice:

◯  –  ◯   =    9    =   ◯  ×  ◯
◯  –  ◯   =    7    =   ◯  ÷  ◯
◯  –  ◯   =    5    =   ◯  ×  ◯
◯  –  ◯   =    3    =   ◯  ÷  ◯

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 1st & 6th rows contain the following fourteen numbers:

2    5    9    12    14    15    18    20    22    33    40    49    56    72

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

Make 284 Challenge

Can you arrive at 284 by inserting 5, 6, 8, 9 and 11 into the gaps below?

(◯²+◯²)×√◯–(◯+◯) = 284

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 283:

Today’s Challenge

. . . is MATHELONA with a difference, not an addition in sight!

But can you still 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:

◯  –  ◯   =    6    =   ◯  ×  ◯
◯  –  ◯   =    2    =   ◯  ÷  ◯
◯  –  ◯   =    8    =   ◯  ×  ◯
◯  –  ◯   =    1    =   ◯  ÷  ◯

Full details of our pocket book 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 1st & 6th rows contain the following fourteen numbers:

2    5    9    12    14    15    18    20    22    33    40    49    56    72

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

Make 283 Challenge

Can you arrive at 283 by inserting 2, 3, 4, 5 and 6 into the gaps below?

(◯×)+◯³+◯³–◯³ = 283

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 282:

Today’s Challenge

Here’s another MATHELONA challenge based on my popular number puzzles.

Can you 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:

◯  +  ◯   =    7    =   ◯  +  ◯
◯  +  ◯   =    4    =   ◯  –  ◯
◯  +  ◯   =    6    =   ◯  ×  ◯
◯  +  ◯   =    3    =   ◯  ÷  ◯

Full details of our pocket book of challenges 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 1st & 6th rows contain the following fourteen numbers:

2    5    9    12    14    15    18    20    22    33    40    49    56    72

What is the sum of the multiples of 11?

Make 282 Challenge

Can you arrive at 282 by inserting 1, 2, 3, 4 and 5 into the gaps below?

[²×(+)–◯]×◯ = 282

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 281:

Today’s Challenge

If you wrote down all single-digit numbers and the factors of 80, how many different numbers would be written on your list?

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 1st & 6th rows contain the following fourteen numbers:

2    5    9    12    14    15    18    20    22    33    40    49    56    72

List eight pairs of numbers that have a sum which is also listed.

Make 281 Challenge

Can you arrive at 281 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯³+◯²)×(◯–◯)+◯² = 281

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 280:

Today’s Challenge

. . . is to arrive at the target number of 18 by adding together exactly FIVE numbers.  You are limited to using digits 1 to 5 but these can be used any number of times in each calculation.

One way of making 18 is 5+5+5+2+1 (or 55521 to save time), so can you list the other SIX ways it is possible to make 18 in our 5puzzle challenge?

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

6    7    13    16    21    25    36    42    45    50    66    80    81    84

What is double the highest prime number on the list?

Make 280 Challenge

Can you arrive at 280 by inserting 7, 8, 9, 10 and 11 into the gaps below?

◯×◯×◯÷(◯–◯) = 280

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 279:

Today’s Challenge

Try this number trail involving 14 arithmetical steps.  Start with 16, then:

  • ÷4
  • one-half of this
  • ×7
  • –7
  • ×8
  • add seventeen
  • +7
  • 1/10 of this
  • –2
  • ×13
  • one-third of this
  • ÷2
  • +43
  • 1/7 of this

What is your final answer?

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

6    7    13    16    21    25    36    42    45    50    66    80    81    84

From the list, how many multiples of 5 are present?

Make 279 Challenge

Can you arrive at 279 by inserting 2, 4, 6, 8 and 10 into the gaps below?

(◯³÷◯)+(◯÷◯)³+³√◯ = 279

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 278:

Today’s Challenge

Can you arrive at the target answer of 7 on both lines by using each of the numbers 0.4, 0.5, 1 and 2 exactly once each, and with – × ÷ available?

  •  (◯÷◯)+(◯÷◯) = 7
  •  [◯÷(◯×◯)]+◯ = 7

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

6    7    13    16    21    25    36    42    45    50    66    80    81    84

List four different numbers that have a sum of 100.

Make 278 Challenge

Can you arrive at 278 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯²×²◯×◯)×◯ = 278

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 277:

Today’s Challenge

Each of the ten letters, A-J, in the two sections below contains a subtraction calculation:

  • Section 1

E:74   J:21   G:75   A:86   C:42   I:85   F:65   B:98   H:95   D:54

  • Section 2

I:43   A:63   H:31   B:76   F:52   J:96   E:97   G:73   D:64   C:87

Which is the only letter that has the SAME answer in BOTH sections?

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

6    7    13    16    21    25    36    42    45    50    66    80    81    84

What is the difference between the two multiples of 10?

Make 277 Challenge

Can you arrive at 277 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯+◯)³+(◯–◯)³– = 277

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 276:

Today’s Challenge

Using the numbers 2, 3 and 6 once each, with – × ÷ available, list the 14 target numbers from 1-30 it is mathematically possible to achieve.

Click the link to find out more about our amazing best-selling board game.

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

6     7     13     16     21     25     36     42     45     50     66     80     81     84

There are four square numbers present. What is the sum of their square roots?

Make 276 Challenge

Can you arrive at 276 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯²–◯)×◯×◯×◯ = 276

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 275:

Today’s Challenge

Your task is to arrive at the target answer of 7 in all four lines by inserting the numbers 0.5, 0.5, 2 and 3 once each.

[Note:  Lines 2 & 3 contain two different methods of arriving at 7]

  •  (◯×◯)+◯+◯ = 7
  •  (◯×◯)+(◯÷◯) = 7
  •  (◯÷◯)+(◯×◯) = 7
  •  [(◯–◯)÷◯]+◯ = 7

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 & 7th rows contain the following fourteen numbers:

4    8    11    17    24    27    28    30    48    55    63    64    70    77

What is the sum of the multiples of 5?

Make 275 Challenge

Can you arrive at 275 by inserting 3, 3, 5, 6 and 6 into the gaps below?

²×(◯×◯–◯)÷◯ = 275

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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