**The Main Challenge**

This number puzzle is based on the concept of my **FlagMath** series of card games. Here is an example of a typical challenge in the Multiplication edition.

Each of the nine letters, A-I, in the two sections below contains a multiplication calculation. Which is the only letter to have the SAME answer in BOTH sections?

- Section 1

E:9**×**4 H:6**×**5 G:8**×**2 A:6**×**4 D:10**×**2 I:4**×**3 F:5**×**2 B:8**×**3 C:7**×**5

- Section 2

F:6**×**6 I:9**×**3 A:5**×**3 H:4**×**4 C:3**×**3 E:8**×**2 B:7**×**4 D:5**×**4 G:10**×**3

**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 2nd & 3rd columns contain the following fourteen numbers:

2 4 10 12 15 16 17 33 35 45 48 70 80 81

Find the square root of each of the square numbers listed above. What is their sum?

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

**The Mathematically Possible Challenge**

Using **1**, **3** and **9 **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 **348** by inserting **2**, **3**, **4**, **5** and **6** into the gaps on both lines below?

- (◯²+◯²)×(◯²÷◯+◯) = 348
- (◯×◯+◯)×◯×◯² = 348

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

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