Which TWO of the following numbers are factors of **333**?

3 5 7 9 11 13 15 17 19

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

The 2nd & 6th columns 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?

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**The Mathematically Possible Challenge**

Using **2**, **9** and **12 **once each, with + – × ÷ available, which are the FOUR numbers it is 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 **333** by inserting **1**, **1**, **2**, **3** and **3** into the gaps below?

- ((◯+◯)²+◯)×(◯³+◯) = 333

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**The Main Challenge**

If you eliminated multiples of **3**, **5** and **7** from this list:

12 14 18 21 25 28 30 33 35 36 40 42 44 48 54 55 56 60

which is the ONLY number that would remain?

**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 2nd & 6th columns contain the following fourteen numbers:

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

How many of the numbers listed are NOT multiples of 6 or 7?

**T****he Factors Challenge**

Which of the following numbers are factors of **332**?

4 6 8 10 12 14 16 18 None of them

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

100 101 102 103 104 105 106 107 108 109

#*Numbers100to109*

**The Target Challenge**

Can you arrive at **332** by inserting **2**, **3**, **4**, **5** and **6** into the gaps below?

- (◯×◯)²+(double◯)³+(◯–◯)⁴ = 332

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**The Main Challenge**

Here is an interesting logic puzzle for you to try.

Insert the numbers **1-9** into the correct positions in this 3-by-3 grid after studying the seven clues below. Each number should appear exactly once.

**x x x**

**x x x**

**x x x**

Here are the clues**:**

- The 2 is directly left of the 1,
- The 6 is directly right of the 7,
- The 8 is directly above the 9,
- The 9 is directly right of the 5,
- The 3 is further left than the 7,
- The 4 is directly below the 3,
- The 5 is in the very central position of the grid.

**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 & 4th columns contain the following fourteen numbers:

3 6 13 20 21 22 27 42 55 56 60 63 72 77

What is the difference between the sum of the lowest seven numbers and product of the two highest ones?

**T****he Factors Challenge**

Which of the following numbers are factors of **331**?

3 5 7 9 11 13 15 17 19 None of them

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

60 61 62 63 64 65 66 67 68 69

#*NumbersIn60s*

**The Target Challenge**

Can you arrive at **331** by inserting **1**, **3**, **11**, **13**, **31** and **33** into the gaps below?

- (◯–◯)×◯+◯–◯–◯ = 331

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**The Main Challenge**

This is a number trail involving ten arithmetical steps. Be careful with your calculations – and no calculators please!

Start with the number **40**, then:

- multiply by 4
- +10%
- subtract 15
- divide by seven
- add nine
- 1/2 of this
- +87
- double this
- –96
- ÷10

What is your final answer?

**The 7puzzle Challenge**

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

The 1st & 4th columns contain the following fourteen numbers:

3 6 13 20 21 22 27 42 55 56 60 63 72 77

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

**T****he Factors Challenge**

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which FIVE numbers is it 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 **330** by inserting **3**, **5**, **10**, **11** and **15** into the gaps below?

- ◯×◯×(◯–◯–◯) = 330

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**The Main Challenge**

… is a **Mathelona** number puzzle where you must solve all four lines arithmetically by filling the 16 gaps below with digits **0-9**.

Each digit **0-9** can only be inserted a maximum of TWICE in the whole puzzle:

◯ + ◯ = 5 = ◯ + ◯

◯ + ◯ = 3 = ◯ – ◯

◯ + ◯ = 10 = ◯ × ◯

◯ + ◯ = 1 = ◯ ÷ ◯

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**The 7puzzle Challenge**

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

The 5th & 7th columns contain the following fourteen numbers:

5 8 9 11 14 18 24 25 28 32 44 50 66 84

Which THREE numbers above 11 each become a multiple of 7 when 11 is subtracted from them?

**T****he Factors Challenge**

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?

1 4 9 16 25 36 49 64 81 100

#*SquareNumbers*

**The Target Challenge**

Can you arrive at **329** by inserting **1**, **4**, **9**, **16** and **25** into the gaps below?

- ◯×◯×(◯+√◯)+◯ = 329

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**The Main Challenge**

. . . will get you thinking of the 5- and 7-times tables, plus some addition.

What is the total of the first SEVEN whole numbers that have a **5** or **7** as part of their number or are multiples of **5** or **7**?

**The 7puzzle Challenge**

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

The 5th & 7th columns contain the following fourteen numbers:

5 8 9 11 14 18 24 25 28 32 44 50 66 84

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

**T****he Factors Challenge**

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?

11 22 33 44 55 66 77 88 99 110

#*11TimesTable*

**The Target Challenge**

Can you arrive at **328** by inserting **1**, **2**, **3**, **4** and **5** into the gaps below?

- (◯²+◯²)×(◯+◯)×◯ = 328

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**The Main Challenge**

. . . is a tricky question that’s a real mouth-watering prospect for the number puzzle enthusiast.

Using the numbers **1**, **2**, **3**, **4** and **5** once each, with + – × ÷ available, it is possible to make the vast majority of numbers in the range **50-100**.

For example, to arrive at **50** and **51**, you could do:

- (4+3+2+1)×5 =
**50**, - (4×3–2)×5+1 =
**51**, and so on . . .

Continuing your calculations, what is the LOWEST number in this range that it is NOT possible to make?

**The 7puzzle Challenge**

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

The 3rd & 6th columns contain the following fourteen numbers:

4 7 12 15 17 30 35 36 40 49 54 64 80 81

How many square numbers are listed above?

**T****he Factors Challenge**

Which of the following numbers are factors of **327**?

7 9 11 13 15 17 19 21 None of them

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which are the only THREE 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 **327** by inserting **3**, **5**, **5**, **7** and **7** into the gaps below?

- ((◯+◯)²–◯×◯)×◯ = 327

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**The Main Challenge**

Only one of the following 2-digit even numbers can be divided exactly by **6**. Which one?

26 34 38 44 46 50 56 62 64 74 78 86 98

**The 7puzzle Challenge**

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

The 3rd & 6th columns contain the following fourteen numbers:

4 7 12 15 17 30 35 36 40 49 54 64 80 81

What is the difference between the highest and lowest multiples of 6?

**T****he Factors Challenge**

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which are the only THREE 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 **326** by inserting **1**, **2**, **3**, **4** and **5** into the gaps below?

- (◯+◯)³+(◯³×◯²)–◯² = 326

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**The Main Challenge**

Your task is to arrive at the target number of **22** by adding together five numbers. You are limited to using **1-5**, but these can be used any number of times.

Can you find the THREE ways of making **22**?

**The 7puzzle Challenge**

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

The 2nd & 4th columns contain the following fourteen numbers:

2 3 6 10 16 20 33 42 45 48 63 70 72 77

Can you find three groups of THREE different numbers that each have a sum of exactly 100?

**T****he Factors Challenge**

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **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 **325** by inserting **1**, **2**, **3**, **4** and **5** into the gaps on both lines below?

- (◯×◯+◯)×(◯+◯)² = 325
- (◯³+◯)×◯×(◯–◯) = 325

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**The Main Challenge**

This challenge has been taken from our series of **Mathelona** number puzzle pocket books.

Can you complete this task so all three lines work out arithmetically when inserting the digits **0 0 1 1 1 2 3 4 5 6 7** and **8** into the 12 gaps below?

◯ + ◯ = 6 = ◯ – ◯

◯ + ◯ = 15 = ◯ × ◯

◯ + ◯ = 1 = ◯ ÷ ◯

**. . . and as an added challenge . . .**

can you also complete this successfully if the 12 digits to be inserted were **0 1 1 2 3 4 5 6 7 8 8** and **9**?

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**The 7puzzle Challenge**

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

The 2nd & 4th columns contain the following fourteen numbers:

2 3 6 10 16 20 33 42 45 48 63 70 72 77

What is the sum of the multiples of 3?

**T****he Factors Challenge**

**The Mathematically Possible Challenge**

Using **5**, **6** and **12 **once each, with + – × ÷ available, which FIVE numbers is it 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 **324** by inserting **1**, **2**, **3**, **4** and **5** into the gaps on both lines below?

- (◯×◯+◯+◯–◯)² = 324
- ◯³×◯×(◯+◯)÷◯ = 324

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