**The Target Challenge**

**T****h****e**** Main Challenge**

Consider all whole numbers from **1 to 60**, then delete the following:

- all prime numbers,
- … and any number that differs by 1 from a prime,
- all square numbers,
- … and any number that differs by 1 from a square,
- all multiples of 5,
- … and any number that differs by 1 from a multiple of 5,
- all multiples of 7,
- … and any number that differs by 1 from a multiple of 7.

One number will remain, what is it?

**The 7puzzle Challenge**

The playing board of Buy Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from **2 **up to **84**.

The 1st & 7th rows 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 prime number and highest square number?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are TWO ways of making **20 **when using *Lagrange’s Theorem*. Can you find both?

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**The Target Challenge**

Can you arrive at **20** by inserting **1**, **4**, **6** and **8** into the gaps on each line?

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

**A****nswers **can be found **Buy Discount Phentermine Online**.

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**T****h****e Main Challenge**

Only one of the following 3-digit numbers is **divisible by 3**. Which one?

136 139 245 248 353 357 466 469 572 578 680

[Note: If you don’t know the trick on how to work this out, please get in touch.]

**The 7puzzle Challenge**

The playing board of Buy Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from **2 **up to **84**.

The 1st & 7th rows 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 7?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are TWO ways of making **19 **when using *Lagrange’s Theorem*. Can you find both?

**The Mathematically Possible Challenge**

Using **5**, **6** and **8 **once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

10 20 30 40 50 60 70 80 90 100

#*10TimesTable*

**The Target Challenge**

Can you arrive at **19** by inserting **1**, **2**, **3** and **4** into the gaps on each line?

- (◯+◯)×◯+◯ = 19
- (◯+◯)×◯–◯ = 19
- ◯²+(◯+◯)×◯ = 19

**A****nswers **can be found **Buy Discount Phentermine Online**.

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**T****h****e Main Challenge**

All nine numbers from **21 to 29 inclusive** must be allocated to a letter below so that each allocated number satisfies the condition given on the line:

- (a) even number,
- (b) factor of 144,
- (c) power of 3,
- (d) prime number,
- (e) digits which differ by 1,
- (f) exactly 3 factors,
- (g) multiple of 7,
- (h) equal to the sum of all its factors (except the number itself),
- (i) 2nd digit is greater than its 1st digit.

But, the numbers **21 to 29** should only appear once each above!

**The 7puzzle Challenge**

The playing board of Buy Soma Online is a 7-by-7 grid containing 49 different numbers, ranging from **2 **up to **84**.

The 1st & 7th rows contain the following fourteen numbers:

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

Which odd number, when 21 is added to it, becomes a square number?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are THREE ways of making **18 **when using *Lagrange’s Theorem*. Can you find them?

**The Mathematically Possible Challenge**

Using **5**, **6** and **8 **once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

9 18 27 36 45 54 63 72 81 90

#*9TimesTable*

**The Target Challenge**

Can you arrive at **18** by inserting **2**, **3**, **4** and **6** into the gaps on each line?

- ◯×◯–◯×◯ = 18
- ◯÷◯×◯×◯² = 18
- (◯÷◯)³×√◯÷◯ = 18

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**T****h****e Main Challenge**

Find the answer to this large number trail which involves fourteen arithmetical steps and includes fraction and percentage calculations.

Start with the number **11**, then:

- double it
- 50% of this
- +50
- subtract thirty-five
- ÷2
- +37
- 3/5 of this
- +70
- –2%
- 1/2 of this
- +311
- subtract twenty
- add ten
- ÷7

What is your final answer?

**The 7puzzle Challenge**

**2 **up to **84**.

The 1st & 7th rows 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 multiples of 5 and 6?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are only TWO ways of making **17 **when using *Lagrange’s Theorem*. Can you find both?

**The Mathematically Possible Challenge**

Using **5**, **6** and **8 **once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

7 14 21 28 35 42 49 56 63 70

#*7TimesTable*

**The Target Challenge**

Can you arrive at **17** by inserting **2**, **5**, **6** and **6** into the gaps on each line?

- ◯²–√(◯×◯)–◯ = 17
- ◯²×◯÷◯+◯ = 17
- (◯÷◯+◯)×◯ = 17

**A****nswers **can be found **Buy Discount Phentermine Online**.

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**T****h****e Main Challenge**

What is the sum of the 50 integers (or whole numbers) from **1 through to 50** inclusive?

**The 7puzzle Challenge**

**2 **up to **84**.

The 1st & 7th rows 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 factors of 24 listed above?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are only TWO ways of making **16 **when using *Lagrange’s Theorem*. Can you find both?

**The Mathematically Possible Challenge**

Using **5**, **6** and **8 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

6 12 18 24 30 36 42 48 54 60

#*6TimesTable*

**The Target Challenge**

Can you arrive at **16** by inserting **3,** **4**, **6** and **8** into the gaps on each line?

- ◯×◯×◯÷◯ = 16
- ◯²–◯×(◯–◯) = 16
- ◯÷◯×³√◯×◯ = 16

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**T****he Main Challenge**

Your task is to multiply two numbers together and then subtract a third number to achieve the target answer of **7**. The three numbers used in each calculation must all be unique digits from **1-9**.

For example, one such way of making **7** is (4×3)–5. Can you find SIX other ways to make 7?

[Note: (4×3)–5 = 7 and (3×4)–5 = 7 counts as ONE way.]

**The 7puzzle Challenge**

The playing board of Buy Real Diazepam Online is a 7-by-7 grid containing 49 different numbers, ranging from **2 **up to **84**.

The 5th & 6th rows 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 total of the prime numbers and the sum of the multiples of 10?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There is only ONE way of making **15 **when using *Lagrange’s Theorem*. Can you find it?

**The Mathematically Possible Challenge**

Using **5**, **6** and **8 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

5 10 15 20 25 30 35 40 45 50

#*5TimesTable*

**The Target Challenge**

Can you arrive at **15** by inserting **2**, **3**, **5** and **6** into the gaps on each line?

- ◯×◯+◯–◯ = 15
- ◯÷◯×◯²×◯ = 15
- ◯²–(◯+◯)×◯ = 15

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**Th****e Main Challenge**

Insert the 12 numbers **1 1 2 2 2 3 5 5 6 7 8** and **8** so that all three lines work out arithmetically:

◯ + ◯ = 6 = ◯ – ◯

◯ + ◯ = 14 = ◯ × ◯

◯ + ◯ = 5 = ◯ ÷ ◯

If you enjoyed trying this puzzle, visit our Buy Diazepam With Debit Card page for further details.

**The 7puzzle Challenge**

**2 **up to **84**.

The 5th & 6th rows 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 odd numbers?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There is only ONE way of making **14 **when using *Lagrange’s Theorem*. Can you find it?

**The Mathematically Possible Challenge**

Using **5**, **6** and **8 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

4 8 12 16 20 24 28 32 36 40

#*4TimesTable*

**The Target Challenge**

Can you arrive at **14** by inserting **2**, **4**, **5** and **5** into the gaps on each line?

- ◯+◯+◯+√◯ = 14
- ◯²–(◯+◯+◯) = 14
- (◯+◯÷◯)×◯ = 14

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**The Main**** Challenge**

Starting from **2**, list the first seven even numbers that are NOT multiples of 3, 5 or 7. What is the 7th number in your list?

**T****he 7puzzle Challenge**

The playing board of Buy Real Diazepam Online is a 7-by-7 grid containing 49 different numbers, ranging from **2 **up to **84**.

The 5th & 6th rows 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 8?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are TWO ways to make **13 **when using *Lagrange’s Theorem*. Can you find both?

**The Mathematically Possible Challenge**

Using **5**, **6** and **8 **once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?

3 6 9 12 15 18 21 24 27 30

#*3TimesTable*

**The Target Challenge**

Can you arrive at **13** by inserting **1**, **2**, **3** and **4** into the gaps on each line?

- ◯×◯+◯–◯ = 13
- ◯×(◯+◯)+◯ = 13
- (◯²+◯²+◯)÷◯ = 13

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**Th****e Main Challenge**

Add together the 7th prime number, the 7th square number, the 7th 2-digit number and the 7th whole number that contains a **7**. What is your answer?

**The 7puzzle Challenge**

The playing board of Buy Real Diazepam Online is a 7-by-7 grid containing 49 different numbers, ranging from **2 **up to **84**.

The 5th & 6th rows contain the following fourteen numbers:

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

Which two numbers listed have a sum of 101?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There are TWO ways to make **12 **when using *Lagrange’s Theorem*. Can you find both?

**The Mathematically Possible Challenge**

Using **4**, **5** and **10 **once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

40 41 42 43 44 45 46 47 48 49

#*NumbersIn40s*

**The Target Challenge**

Can you arrive at **12** by inserting **2**, **3**, **4** and **6** into the gaps on each line?

- (◯–◯)×◯×◯ = 12
- ◯×◯–(◯+◯) = 12
- ◯÷◯×(◯+◯) = 12
- ◯²–◯×◯÷◯ = 12
- (◯²+◯³)×◯÷◯ = 12

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**Th****e Main Challenge**

Today’s task is to arrive at the target number of **7** by using the four numbers **7**,** 7**,** 7 **and** 7** once each. All four arithmetic operations + – × ÷ are available. Can you do it?

**The 7puzzle Challenge**

**2 **up to **84**.

The 5th & 6th rows contain the following fourteen numbers:

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

From this list, what is the sum of the square numbers?

**The Lagrange Challenge**

*Lagrange’s Four-Square Theorem* states that every positive integer can be made by adding up to four square numbers.

For example, **7** can be made by **2²+1²+1²+1²** (or 4+1+1+1).

There is only ONE way to make **11 **when using *Lagrange’s Theorem*. Can you find it?

**The Mathematically Possible Challenge**

Using **4**, **5** and **10 **once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

2 3 5 7 11 13 17 19 23 29

#*PrimeNumbers*

**The Target Challenge**

Can you arrive at **11** by inserting **2**, **3**, **4** and **5** into the gaps on each line?

- ◯×◯+◯–◯ = 11
- ◯÷◯×◯+◯ = 11
- ◯²–√(◯×(◯+◯)) = 11

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