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

There is just one set of three consecutive numbers in ascending order whose **sum is less than 50** and follow this sequence:

- square number – triangular number – prime number

Can you list this set of three numbers?

**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 4th & 6th rows contain the following fourteen numbers:

3 5 10 12 18 20 32 33 35 44 49 54 56 60

Can you find FOUR groups, each group containing three different numbers, that all have a sum of exactly 100?

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

Which of the following numbers are factors of **269**?

3 5 7 9 11 13 None of them

[ *Hint: Use the ‘bus stop’ method of division to see if any of the above numbers divide exactly into 269 *]

**The Mathematically Possible Challenge**

Using **3**, **7** and **9 **once each, with + – × ÷ available, which are the FIVE 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 **269** by inserting **2**, **3**, **5**, **6** and **7** into the gaps below?

- (◯+◯+◯)²+(◯+◯)² = 269

**A****nswers **can be found **here**.

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