** The Main Challenge**

Start with the number **7**. Add **1** to this, then **3**, then to that answer add **5**, then **7** . . . and keep on adding consecutive odd numbers to the previous total.

What is the first answer you reach that is **greater than 100**?

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

3 10 13 25 32 35 36 42 44 45 54 60 66 80

What is the sum of the multiples of 11?

**The Roll3Dice Challenge**

From six of the seven groups of numbers below, it is possible to make today’s target number of **7 **when each number in the group is used once and + – × ÷ is available:

- 1 1 5
- 1 4 4
- 2 2 3
- 2 3 3
- 3 4 4
- 3 5 5
- 4 5 6

Which is the only group that CANNOT make **7**?

**The Mathematically Possible Challenge**

Using **4**, **5** and **10 **once each, with + – × ÷ available, which FOUR numbers is it 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 **7** by inserting **1**, **3**, **6** and **10** into the gaps on each line?

- ◯+◯×◯–◯ = 7
- ◯×◯–(◯+◯) = 7
- ◯–√(◯+◯)×◯ = 7
- (◯+◯)²÷(◯–◯) = 7

**Answers **can be found **here**.

**Click Paul Godding for details of online maths tuition.**