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# Key Stage 2

**Question 1. **The product of two numbers is 48 and the difference of these two numbers is 2

- What are the two numbers? Is it a unique solution? Why?

**Question 1.** The product of two numbers is 156 and the difference of these two numbers is 1

- What are the two numbers? Is it a unique solution? Why?

**Question 3.** The product of two numbers is 323 and the difference of these two numbers is 2

- What are the two numbers? Is it a unique solution? Why?

**Question 4**. I have 61 black socks when I put them in pairs how many pairs would I have? What do you notice?

- What about 73 red socks - how many pairs of red socks?
- What could you say if I had x socks - how many pairs?

**Question 5**. An octopus needs new socks for every day in June.

- How many pairs does she need? How many socks will she need?

**Question 6.** The 7 legged Conway monster that lives in the attic needs new socks for a year [not leap year]. She buys 1,246 pairs [that's a lot of socks!].

- Has she got enough? Has she got too many? Explain your answer.

**Question 7**. I have got x pairs of red socks and y pairs of yellow socks. How many ** socks** have I got altogether?

**Question 8**. Myself and some friends have all bought black socks for our secondary school uniform. Abdul bought w pairs; Petra bought fewer than Abdul, x pairs; Sally bought y pairs and I bought the difference between Abduls's amount of socks and Petra's amount of socks.

- In total we had M pairs of socks. Write an equation to show how many black socks we bought altogether.