**The Main 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?

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

The playing board of **the 7puzzle game** is a 7-by-7 grid of 49 different numbers, ranging from **2 **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?

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

**The Mathematically Possible Challenge**

Using **2**, **7** and **10 **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 **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 maths tuition.**