2. Hertfordshire County Council www.hertsdirect.org Hertfordshire Y5 Mathematics Challenge Final Summer 2008

3. Hertfordshire County Council www.hertsdirect.org The Format Round 1: Team Round with 6 questions + bonus Round 2: The memory round + bonus Break Round 3: The estimation round with 5 questions + bonus Round 4: Team round 4 with 6 questions + bonus

4. Hertfordshire County Council www.hertsdirect.org Team Rounds Team rounds will consist of questions plus a bonus question One mark will be gained for each correctly answered question (unless stated) No marks will be lost for an incorrectly answered question Teams may work together on all questions except the bonus question. There is just one bonus question where you will be allowed to discuss.

5. Hertfordshire County Council www.hertsdirect.org Round 1

6. Hertfordshire County Council www.hertsdirect.org Team Round 1 Question 1 Add together the first four prime numbers

7. Hertfordshire County Council www.hertsdirect.org Team Round 1 Question 2 Medals for this competition cost £4.98 each. The top three teams are awarded these medals. How much did it cost to buy them?

8. Hertfordshire County Council www.hertsdirect.org Team Round 1 True or false? all multiples of 9 have digits that add up to 9 263 is a multiple of 3 all two digit numbers with 1 in the units column are prime numbers all square numbers have an odd number of factors Question 3

9. Hertfordshire County Council www.hertsdirect.org A bookworm eats his way from page 1 of volume 1 to the last page of volume 4. How far has he travelled? Question 4 Clue: Read the question again and think carefully.

10. Hertfordshire County Council www.hertsdirect.org Team Round 1 Which is the largest? ⅜0.332% Question 5

11. Hertfordshire County Council www.hertsdirect.org Team Round 1 Question 6 The Dino Race Six dinosaurs had a race. Two dinosaurs tied for second. Brachiosaurus was one of them. Little D was two places ahead of Ankylosaurus. Ankylosaurus beat Tyro! Diplodo was sleepy and came last. Stego was beaten by only one other dinosaur. Who won the race?

12. Hertfordshire County Council www.hertsdirect.org Bonus Questions Bonus questions happen at the end of every team round. Teams may not confer on most bonus questions Contestants must put up their hand if they have the answer to a bonus question. The first hand up has the first attempt at the question. If the contestant is correct they score 1 point for their team. If they are incorrect then no other member of their team may answer the question, which is then offered to the other teams.

13. Hertfordshire County Council www.hertsdirect.org Bonus Question Calculate: 15% of £240 =

14. Hertfordshire County Council www.hertsdirect.org Round 2 - Memory

15. Hertfordshire County Council www.hertsdirect.org 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. (Up to 10 marks available for the puzzle)

16. Hertfordshire County Council www.hertsdirect.org Memory Puzzle There will be 3 opportunities to view the picture: Remember! Observers are not allowed to draw anything when explaining! (Up to 10 marks available for the puzzle)

17. Hertfordshire County Council www.hertsdirect.org Memory Puzzle (Up to 10 marks available for the puzzle) You will be given between 20 seconds each time to look at the picture and remember as much as you can. When you return to your table you will have 2 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. You will be given marks for the things you remember and…..

18. Hertfordshire County Council www.hertsdirect.org Memory Team Bonus Question All members of the team can discuss and answer this question You now have 2 minutes to solve the puzzle and fill in as many of the remaining gaps as possible. There are 6 bonus points to earn

19. Hertfordshire County Council www.hertsdirect.org Break

20. Hertfordshire County Council www.hertsdirect.org Round 3

21. Hertfordshire County Council www.hertsdirect.org The Estimation Round There will be five estimation questions. Three marks will be awarded for an answer that is exactly right. One or two marks will be given for estimates that are close to the correct answer.

22. Hertfordshire County Council www.hertsdirect.org Estimation Round Question 1 You are going to sit in silence for a number of seconds. Estimate how long this period is from the word start to the word finish.

23. Hertfordshire County Council www.hertsdirect.org Estimation Round Question 2 You have a toy car. Estimate how far the car will travel if its wheels turn 10 full revolutions. Answer in centimetres.

24. Hertfordshire County Council www.hertsdirect.org Estimation Round Question 3 Estimate the perimeter of the triangle of card you are being shown. Give your answer in centimetres.

25. Hertfordshire County Council www.hertsdirect.org Estimation Round You will have 10 seconds to identify how many beads there are in the next picture? Question 4

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28. Hertfordshire County Council www.hertsdirect.org Estimation Round 5 friends go shopping. There is a picture of one of the girls on the next slide. If all the friends carried the same number of bags, how many bags would there be in total? Question 5 5 seconds to view

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31. Hertfordshire County Council www.hertsdirect.org Bonus Question No discussion allowed

32. Hertfordshire County Council www.hertsdirect.org Bonus Question 24536 x 11 = (2 marks)

33. Hertfordshire County Council www.hertsdirect.org Team Round 4

34. Hertfordshire County Council www.hertsdirect.org Team Round 4 This mystery number has 6 digits. If you add one to this number it will be a 7 digit number. What is the mystery number? Write the answer in words. Question 1

35. Hertfordshire County Council www.hertsdirect.org Team Round 4 You have been given a copy of this Carroll diagram. Copy these shapes into the appropriate spaces. No parallel sides At least one pair of parallel sides At least one acute angle No acute angles Question 2

36. Hertfordshire County Council www.hertsdirect.org Team Round 4 I started using a new tube of toothpaste on the morning of January 4 th 2008 My toothpaste lasted 64 whole days. What date did I need to open the new tube of toothpaste? Question 3

37. Hertfordshire County Council www.hertsdirect.org Team Round 4 Fill in the gaps: a)½ of = b)½ of = c)½ of = Question 4 465 8 939 61

38. Hertfordshire County Council www.hertsdirect.org Team Round 4 Draw an oblong with an area of 12cm² that will give the smallest perimeter? Question 5

39. Hertfordshire County Council www.hertsdirect.org Team Round 4 Question 6 + Here are 9 number cards: 1, 2, 3, 4, 5, 6, 7, 8, 9. Use them to fill in this addition calculation. 67 You have been given a clue.

40. Hertfordshire County Council www.hertsdirect.org Team Round 4 Bonus Question (2 marks) What is 30% of 2.5 kg? … Give your answer in grams.

41. Hertfordshire County Council www.hertsdirect.org Well Done! Congratulations to everyone who has taken part in the Hertfordshire Year 5 Mathematics Final 2008.

42. Hertfordshire County Council www.hertsdirect.org Tie breaker Which 4 consecutive numbers added together give the total 182