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Let the large number be x and the smaller number be y . Then:

Question 1. 2 marks. Let the large number be x and the smaller number be y . Then:. Team Round Solutions. Therefore the ratio x : y is 48 : 40 = 6 : 5. Question 2. 2 marks. Team Round Solutions. y. 3 y. 30. Question 3. 4 marks. Team Round Solutions. Question 4. 2 marks.

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Let the large number be x and the smaller number be y . Then:

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  1. Question 1 2 marks Let the large number be x and the smaller number be y. Then: Team Round Solutions Therefore the ratio x : y is 48 : 40 = 6 : 5

  2. Question 2 2 marks Team Round Solutions y 3y 30

  3. Question 3 4 marks Team Round Solutions

  4. Question 4 2 marks 2 A Team Round Solutions B E 6 C D

  5. Question 5 4 marks Team Round Solutions The sequence is The four missing numbers are 7, 10, 20, 40 The sum of these numbers is 77

  6. Question 6 4 marks Team Round Solutions 4 3 Ratio of smaller triangle to larger triangle is 3 : 7

  7. Question 7 4 marks Team Round Solutions A: Pay only three quarters of the normal price! (25% discount) B: Buy two – get one free! C: Two for the price of four! (don’t shop here!) D: One fifth off all prices! (20% discount) E: 30% price cut (30% discount) Answer: B

  8. 6 marks Question 8 Team Round Solutions Ratio of shaded to unshaded area

  9. Question 9 6 marks Team Round Solutions For third set of scales we have 11 squares are needed ?

  10. Question 10 4 marks Team Round Solutions C 9 cm 15 cm 12 cm 9 cm A B D

  11. Question 11 6 marks The angle Jill moves through before they meet is given by Jill Jack Team Round Solutions Therefore Jack moves through 225° before they meet. 30 s

  12. Question 12 6 marks Splitting the regular hexagon into 6 congruent triangles as shown below Team Round Solutions A B Area of kite ABCE C F D E

  13. or Question 13 8 marks The coordinates of the image become (-x, -y) Team Round Solutions If rotated 180° about the origin this becomes (3, 4) O (-3, -4)

  14. Question 14 8 marks Let the fraction of the chocolate bar that Pinkie has eaten be x then Perky has eaten Team Round Solutions The remaining fractions of the chocolate bar uneaten are Pinkie Perky When Perky has two times as much as has Pinkie we have

  15. 8 marks Question 15 Adding the following lines to the diagram so that we have pairs of congruent triangles. Team Round Solutions X C x B x O y y Y A

  16. 6 marks Question 16 For the cheetah For the snail Team Round Solutions distance = speed × time 2 1

  17. C Question 17 10 marks B r The hypotenuse of the triangle is A Team Round Solutions C Now consider triangle ABC and we can deduce the missing lengths AC and BC and apply Pythagoras theorem again. 2 B r A 2

  18. Question 18 12 marks Team Round Solutions

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