2. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version Trigonometry Part 1

3. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What do we call an angle which is less than 90°? obtuse right acute reflex

4. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What do we call an angle which is greater than 90°? acute reflex right obtuse

5. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What type of angle is this? obtuse acute reflex right

6. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What type of angle is this? right obtuse reflex acute

7. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version How many of these statements are true? Right angles are exactly 90°. Corners are right angles There are 4 right angles in a rectangle. 0 1 2 3

8. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version BONUS ROUND! Just pick the lucky colour RED GREEN BLUE YELLOW

9. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Question? Alternative Beta version How well have you been listening? Can you find the missing angles? Work in your group to decide on the answer. You can do any working out in your maths book.

10. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 30° 50° 100 ° 130 °

11. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 20 ° 80 ° 100 ° 180 °

12. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 45 ° 135 ° 140 ° 145 °

13. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 60 ° 80 ° 120 ° 180 °

14. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version BONUS ROUND! Just pick the lucky colour RED GREEN BLUE YELLOW

15. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Question? Alternative Beta version The next question could win MASSIVE points for the group with the lucky number.

16. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 178 ° 172 ° 162 ° 168 °

17. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Question? Alternative Beta version The next question could win MASSIVE points for the group with the lucky number.

18. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 53 ° 57 ° 43 ° 47 °

19. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Question? Alternative Beta version NOMINATION QUESTION The lucky team gets to choose who answers the next question.

20. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 80 ° 90 ° 100 ° 120 °

21. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version BONUS ROUND! Just pick the lucky colour RED GREEN BLUE YELLOW

22. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Question? Alternative Beta version Now for some questions on angles round a point. These add up to twice as many degrees, so I think should be worth twice as many points.

23. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 310 ° 300 ° 290 ° 270 °

24. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 160 ° 165 ° 195 ° 200 °

25. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 40 ° 140 ° 160 ° 220 °

26. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version BONUS ROUND! Just pick the lucky colour RED GREEN BLUE YELLOW

27. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Question? Alternative Beta version The next question could win MASSIVE points for the group with the lucky number.

28. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version What is the missing angle? 71 ° 72 ° 108 ° 109 °

29. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Question? Alternative Beta version Now you will need to use all you have learnt to work out some trickier problems. Think carefully about what you need to find, and what the angles add up to. Remember you can do working out in your maths book.

30. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version How many degrees is x? 80 ° 90 ° 100 ° 180 °

31. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version How many degrees is y? 60 ° 70 ° 80 ° 90 °

32. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version How many degrees is z? 100 ° 80 ° 40 ° 20 °

33. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version In how many of the diagrams are the missing angle(s) 30°? 3 2 1 none

34. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version In how many of the diagrams are the missing angle(s) 45°? 3 2 1 none

35. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version BONUS ROUND! Just pick the lucky colour RED GREEN BLUE YELLOW

36. 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1   Beta version CONGRATULATIONS !!! to the winners. Commiserations to the rest of you – better luck next time!