**The Main Challenge**

Each of the ten letters, A-J, in the two sections below contains a subtraction calculation:

- Section 1

E:7–4 J:2–1 G:7–5 A:8–6 C:4–2 I:8–5 F:6–5 B:9–8 H:9–5 D:5–4

- Section 2

I:4–3 A:6–3 H:3–1 B:7–6 F:5–2 J:9–6 E:9–7 G:7–3 D:6–4 C:8–7

Which is the only letter that has the SAME answer in BOTH sections?

**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

What is the product of the two multiples of 10?

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

**The Mathematically Possible Challenge**

Using **2**, **7** and **10 **once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?

5 10 15 20 25 30 35 40 45 50

#*5TimesTable*

**The Target**** Challenge**

Can you arrive at **277** by inserting **1**, **2**, **3**, **4** and **5** into the gaps below?

- (◯+◯)³+(◯–◯)³–◯ = 277

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

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