DAY 342:

Today’s Challenge

. . . is a regular favourite of ours where at least one decimal number is present in 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 in two completely different ways?

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 3rd & 5th columns of the playing board 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?

Make 342 Challenge

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

(◯²+◯+◯)×(◯²+◯) = 342

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 341:

Today’s Challenge

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

228   276   308   336   412   484   528   552   660   794   888   944

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 2nd & 7th columns of the playing board 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?

Make 341 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

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 340:

Today’s Challenge

List the only two numbers below 100 that have exactly 10 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 2nd & 7th columns of the playing board 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?

Make 340 Challenge

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

◯×◯×(◯+◯)÷◯ = 340

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 339:

Today’s Challenge

. . . is another version of our popular number puzzle where clues are given to help you find a particular number from the following facts:

  • I am 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?

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 & 6th columns of the playing board 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?

Make 339 Challenge

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

(◯²×◯×◯)–(◯×◯) = 339

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 338:

Today’s Challenge

. . . is a number trail question which involves twelve 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?

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 & 6th columns of the playing board 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?

Make 338 Challenge

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

[(◯+◯)³+(◯×◯)]÷◯ = 338

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 337:

Today’s Challenge

Which of these 3-digit numbers is NOT a multiple of 3?

123      234      345     456     567     678     789     890

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 1st & 5th columns of the playing board contain the following fourteen numbers:

8    11    13    14    18    21    22    25    27    44    55    56    60    84

What is the sum of the factors of 88?

Make 337 Challenge

Can you arrive at 337 by inserting 1, 2, 3, 4 and 5 into the gaps below?

(◯³×◯²–◯)÷(◯–◯) = 337

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 336:

Today’s Challenge

Try the following MATHELONA challenge by inserting the digits 0, 1, 1, 2, 3, 3, 4, 4, 5, 6, 7 and 7 into the 12 gaps below and making all three lines work out arithmetically.

◯  +  ◯   =     4     =   ◯  –  ◯
◯  +  ◯   =    12    =   ◯  ×  ◯
◯  +  ◯   =     1     =   ◯  ÷  ◯

Further details of our popular pocket book can be found by clicking MATHELONA.

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 1st & 5th columns of the playing board contain the following fourteen numbers:

8    11    13    14    18    21    22    25    27    44    55    56    60    84

How many pairs of numbers have a difference of 33?

Make 336 Challenge

Can you arrive at 336 by inserting 3, 4, 6, 7 and 8 into the gaps below?

◯×◯×◯×(◯–◯) = 336

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 335:

Today’s Challenge

. . . is a tricky number puzzle from Mathematically Possible, our board game that is great for arithmetic and strategy:

Using the numbers 4, 5 and 10 once each, with + – × ÷ available, can you list the TEN different target numbers that are possible to achieve from 1 to 30 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 3rd & 7th columns of the playing board contain the following fourteen numbers:

4    5    9    12    15    17    24    28    32    35    50    66    80    81

What is the product of the two prime numbers in the list?

Make 335 Challenge

Can you arrive at 335 by inserting 3, 4, 5, 6 and 7 into the gaps below?

[◯³+◯×(◯–◯)]×◯ = 335

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 334:

Today’s Challenge

. . . involves making 7 when using the four numbers 0.7, 1.6, 2 and 10 once each, and with the four arithmetical operations + – × ÷ available.

Can you arrive at our signature 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 2 up to 84.

The 3rd & 7th columns of the playing board contain the following fourteen numbers:

4    5    9    12    15    17    24    28    32    35    50    66    80    81

What is the sum of the multiples of 5 listed above?

Make 334 Challenge

Can you arrive at 334 by inserting 2, 3, 4, 4 and 5 into the gaps below?

◯⁵+◯⁴+◯³+◯²–◯ = 334

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment

DAY 333:

Today’s Challenge

Each of these three numbers is the product of three consecutive whole numbers:

120       210       336

What is the next number in this sequence?

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 2nd & 6th columns of the playing board contain the following fourteen numbers:

2    7    10    16    30    33    36    40    45    48    49    54    64    70

How many pairs of numbers have a sum of 100?

Make 333 Challenge

Can you arrive at 333 by inserting 1, 1, 2, 3 and 3 into the gaps below?

[(◯+◯)²+◯]×[◯³+◯] = 333

Answers can be found here.

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

Posted in 7puzzleblog.com | Leave a comment