2. Year 5 Hertfordshire Mathematics Challenge 2010 Fran Bradshaw and Samantha Burns County Mathematics Advisers

3. The Format  Round 1: Team Round with 6 questions  Round 2: The memory round Break  Round 3: The estimation round with 6 questions  Round 4: Team round 4 with 6 questions

4. Team Rounds  Team rounds will consist of 6 questions  No marks will be lost for an incorrectly answered question  Teams may work together on all questions

5. Round 1

6. Team Round 1 Question 1 Add half of 170 to a quarter of 140

7. Team Round Question 2 If the exchange rate for £1 is €1.14 How many Euros will you get for £40?

8. Team Round Question 3 There is enough toothpaste in a tube to last one person from the morning of January 1 st to the evening of March 1 st 2010. But if a family of 4 were brushing their teeth, how many days would the toothpaste last?

9. Team Round Question 4  If 80% of the cost of an item is £8.80, what is the cost of the item?

10. Team Round Question 5  What is the next term in the following sequences? 1, 2, 4, 7, 11, 16,... 49, 36, 25, 16, 9,... 2, 3, 6, 11, 18, 27,... M, T, W, T, F,... O, T, T, F, F, S, S, E,...

11. Team Round Question 6  What is 4 to the power of 4?

12. Round 2 - Memory

13. Memory Puzzle  We have hidden a picture of a mathematical puzzle. Two people from each team will take turns to view them. They must remember as much as possible so that they can describe it to other team members, who will try to make their own copy.  Only two from each team will be allowed to draw the puzzle. The two people who come out to look at the puzzles will not be allowed to draw anything.  Please decide who is drawing and who is observing and describing.

14. Memory Puzzle  There will be 3 opportunities to view the picture:  Each observer will see the first part of the picture once on their own.  Then there will be one chance for both observers to see the whole puzzle. Remember! Observers are not allowed to draw anything or use their hands in any way when explaining!

15. Memory Puzzle  You will be given between 20 and 30 seconds each time to look at the picture and remember as much as you can.  When you return to your table you will have 1 minutes to tell your team- mates what to draw.  Use the paper and pencils to make as many notes and drawings as you wish. At the end of this round we will take in ONE piece of paper from each team which should have the whole picture on it.  There will be bonus marks if you can answer a question based on the puzzle.

16. Memory Puzzle  Each team should hand in ONE sheet of paper.  Please make sure that the name of your school is on your paper!

18.  Now total all the numbers on your grid  Can you give me the largest prime number on the grid?  What is the smallest triangular number you can see?  Give me a cubed number below 10  Give me 2 numbers with 6 factors

19. Break

20. Round 3

21. The Estimation Round  There will be six estimation questions.  Two marks will be awarded for an answer that is exactly right.  One mark will be given for estimates that are close to the correct answer.

22. Estimation Round Question 1 How many billiard balls?

23. Estimation Round Question 1 How many billiard balls?

24. Estimation Round  Question 2 Estimate the time in seconds between the START and the STOP signs… START STOP

25. Estimation Round Question 3a Estimate the perimeter of the large star that you have been given Question 3b Estimate the perimeter of the small star that you have been given Give your answer in cm

26. Estimation Round Question 4 Estimate the length of these 5 hexagons Give your answer in mm (rounded to the nearest 10)

27. Estimation Round Question 5 You are being shown a plastic bottle. Estimate the amount of liquid it holds. Give your answer in millilitres.

28. Estimation Round Question 6  Look at this pack of Smarties.  Estimate the weight of the Smarties inside.

30. Team Round 4

31. Team Round 4 Question 1 Two-fifths of 17 is between 4 and 5. 5 and 6. 6 and 7. 7 and 8.

32. Team Round Question 2 A bag of peanuts weighs 40g. How many bags would weigh exactly 1 kg?

33. Team Round Question 3  Which two of the following have the same value. 2/5 20% 0.25 4/5 45% 0.404 0.04 40%

34. Team Round Question 4  You have the following 5 cards. Use them all only once with any operation to make the number 2 3 12478

35. Team Round Question 5  A rectangular field has an area of 42cm², what might the perimeter be? How many different perimeters can you find? (Use whole numbers only)

36. Team Round Question 6  What is 4128 x 25?

37. Well Done! Congratulations to everyone who has taken part in the Hertfordshire Year 5 Mathematics Challenge Heats 2010.

38. Tie breaker 120÷7 = Round your answer to 3 decimal places You have 30 seconds. 17.143