Problem Solving Starter - Presents Gurmit paid $21 for five presents For A and B he paid a total of $6. For B and C he paid a total of $10. For c and D.

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Presentation transcript:

Problem Solving Starter - Presents Gurmit paid $21 for five presents For A and B he paid a total of $6. For B and C he paid a total of $10. For c and D he paid a total of $7. For D and E he paid a total of $9. How much did Gurmit pay for each present?

Problem Solving Starter – Three Digits Imagine you have 25 beads. You have to make a three-digit number on an abacus. You must use all 25 beds for each number you make. How many different three-digit numbers can you make? Write them in order. Don’t forget you can only have up to 9 beads on each stick!

Problem Solving Starter – Make Five Numbers Take 10 cards numbered 0 to 9. Each time use all ten cards. Arrange the cards to make: a.Five numbers that are multiples of 3 b.Five numbers that are multiples of 7 c.Five prime numbers Make up more problems to use all ten cards to make five special numbers.

Start with zero. Find a route from ‘start’ to ‘end’ that totals 100 Which route has the highest total? Which has the lowest total? Now try some different starting numbers. Problem Solving Starter – Maze Start+ 6X 9 ÷ X 7 ÷ 3 X 5 - 6X 3- 5 ÷ 3 X 7- 8End

Mrs Choy spent exactly $10 on 100 eggs for her shop. Large eggs cost her 50c each. Medium eggs cost her 10c each. Small eggs cost her 5c each. For two of the sizes, she bought the same number of eggs. How many of each size did she buy? Problem Solving Starter – Eggs

Problem Solving Starter – Flash Harry In April Flash Harry bought a saddle for $100. In May he sold it for $200. In June he was sorry he had sold it. So he bought it back for $300. In July he got tired of it. So he sold it for $400. Overall, did Flash Harry make or lose money? How much did he make or lose?

Problem Solving Starter – Age old Problems 1.My age this year is a multiple of 8. Next year it will be a multiple of 7. How old am I? 2.Last year my age was a square number. Next year it will be a cube number. How old am I? How long must I wait until my age is both a square number and a cube? 3.My mum was 27 when I was born. * years ago she was twice as old as I shall be in 5 years’ time. How old am I now?

Problem Solving Starter – Zids and Zods Zids have 4 spots. Zods have 9 spots. Altogether some Zids and Zods have 48 spots. How many Zids are there? How many Zods? What if Zids have 5 spots, Zods have 7 spots, and there are 140 spots together? Find as many solutions as you can.