**The Main Challenge**

This *Octaplus* puzzle challenges you to find the values of eight letters, **A to H**, from the given information below. Each letter is a different whole number in the range **1-50**:

- H is a third of F,
- B is half of F,
- D minus F is either 15 or 16,
- One-seventh of D is a whole number and odd,
- E equals H plus D,
- G equals E minus B,
- C is a fifth of G,
- A is equal to 120 minus the sum of the other seven numbers.

Can you find the value of each of the eight letters?

**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 1st & 2nd rows contain the following fourteen numbers:

2 8 9 14 15 17 22 28 40 48 55 63 64 72

What is the difference between the highest and lowest prime numbers?

**The Roll3Dice Challenge**

From the seven groups of numbers below, it is possible to make today’s target number of **5 **with six of the groups when each number in the group is used once and + – × ÷ is available.

But, which is the impossible group below that CANNOT make **5**?

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

Visit **Roll3Dice.com** for full details of our family-related maths initiative.

**The Mathematically Possible Challenge**

Using **4**, **5** and **10 **once each, with + – × ÷ available, which is the ONLY number that 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 **5** by inserting **5**, **10**, **15** and **20** into the gaps on each line?

- (◯÷◯)+(◯÷◯) = 5
- (◯–◯)×◯÷◯ = 5
- ◯–(◯×◯÷◯) = 5
- ◯–(◯–◯)²÷◯ = 5 (there are 2 ways)
- √((◯×◯÷◯)–◯) = 5