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Conway Primary School

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.