DAY 48:

Today’s Challenge

What is the biggest integer (whole number) less than 630,000 that can be written using all of the six digits from 1 to 6?

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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 & 7th rows contain the following fourteen numbers:

4     11     13     24     25     27     30     36     42     45     66     70     77     80

From the list, find three different numbers that have a sum of 100.

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Answers

. . . can be found when clicking this.

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DAY 47:

Today’s Challenge

If you multiply a certain number by 3 and then add 30, the result is the same as if you first added 17 to this number and then multiplied by 2.  Is this number’s value 1, 2, 3, 4 or 5?

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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 & 7th rows contain the following fourteen numbers:

4     11     13     24     25     27     30     36     42     45     66     70     77     80

What is the product of the lowest number and highest number?

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Answers

. . . can be found when clicking this.

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DAY 46:

Today’s Challenge

FOUR is the smallest positive integer that has exactly three factors; these are 1, 2 and 4. When finding the next integer to have exactly three factors, what is the product of these three factors?

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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 & 7th rows contain the following fourteen numbers:

4     11     13     24     25     27     30     36     42     45     66     70     77     80

What is the sum of the multiples of 10?

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Answers

. . . can be found when clicking this.

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DAY 45:

Today’s Challenge

If you multiply two whole numbers together and then add 4, the result is 40.  Which one of the following could NOT be the sum of the two whole numbers you initially multiplied?

12       13       15       18       20       37

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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 & 6th rows contain the following fourteen numbers:

5     8     12     17     18     20     28     33     48     49     55     56     63     64

Can you find four different numbers that have a sum of 100?

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Answers

. . . can be found when clicking this.

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DAY 44:

Today’s Challenge

If the number sequence 2, 5, 8, 11, 14 . . . is continued, which is the only number from the following list that will appear later in the sequence?

34     43     57     65     72     85     99

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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 & 6th rows contain the following fourteen numbers:

5     8     12     17     18     20     28     33     48     49     55     56     63     64

What is the difference between the sum of the odd numbers and the even numbers?

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Answers

. . . can be found when clicking this.

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DAY 43:

Today’s Challenge

Using the numbers 2, 4 and 6 once each, together with + – × ÷, find the SIX target numbers from the following list that are mathematically possible to make:

12     14     16     18     20     22     24     26     28     30

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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 & 6th rows contain the following fourteen numbers:

5     8     12     17     18     20     28     33     48     49     55     56     63     64

What is the sum of the cube numbers?

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Answers

. . . can be found when clicking this.

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DAY 42:

Today’s Challenge

You’ve rolled the numbers 2, 4 and 6 with your three dice.  Using these once each, with + – × ÷ available, find the THREE target numbers from 1-10 that it is not possible to make.

Visit Roll3Dice.com and hashtags #Roll3Dice #LearnTogether #R3D for further details.

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

5     8     12     17     18     20     28     33     48     49     55     56     63     64

Which three different numbers have a sum of 77?

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Answers

. . . can be found when clicking this.

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DAY 41:

Today’s Challenge

. . . is all the way from Japan.  Can you insert 1, 4, 6 and 8 into the four gaps on each line so all three answers equal 20?

  •  (◯–◯)×(◯–◯) = 20
  •  (◯÷◯+◯)×◯ = 20
  •  (◯+◯)×◯–◯ = 20

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

5     8     12     17     18     20     28     33     48     49     55     56     63     64

List four pairs of numbers that have a difference of 7.

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Answers

. . . can be found when clicking this.

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DAY 40:

Today’s Challenge

In each group below, use the four numbers once each, with + – × ÷ available:

  •  3   3   3   3
  •  4   4   4   4
  •  5   5   5   5
  •  6   6   6   6

to show how you can achieve the target number of 24.

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

2     3     9     10     14     15     22     32     35     40     44     54     60     72

What is the sum of the multiples of 6 listed above?

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Answers

. . . can be found when clicking this.

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DAY 39:

Today’s Challenge

By allocating each letter of the English alphabet a numerical value as follows, A=1 B=2 C=3 . . . Z=26, the value of the word CAT would be 24, which is calculated by doing 3+1+20.  Following this rule, what would be the value of the word ARITHMETIC?

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

2     3     9     10     14     15     22     32     35     40     44     54     60     72

Find three pairs of numbers that have a sum of 54.

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Answers

. . . can be found when clicking this.

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