1. Y10 Triangle Starters Pythagoras A | Pythagoras A Answers
Pythagoras B | Pythagoras B Answers
Pythagoras C | Pythagoras C Answers
Pythagoras D | Pythagoras D Answers
Trigonometry E | Trigonometry E Answers
Trigonometry F | Trigonometry F Answers
Trigonometry G | Trigonometry G Answers
Trigonometry H | Trigonometry H Answers
Trigonometry I | Trigonometry J Answers
Trigonometry J | Trigonometry J Answers
Trigonometry K | Trigonometry K Answers
Trigonometry L | Trigonometry L Answers
Trigonometry M | Trigonometry M Answers
Revision A | Revision A Answers
Revision B | Revision B Answers

2. Pythagoras A Calculate the following: 2.32 = 52 + 62 = Home 1) 2) 3)4) 5) 6) 7) 8) 9)
10)

3. Pythagoras A Answers Calculate the following: 2.32 = 52 + 62 = Home 1)2) = 3) 4) 5) 6) 7) 8) 9)
10)

4. Pythagoras B Calculate the unknown side lengths: ? ? 8mm 5m 15mm 6.4m
Home
Calculate the unknown side lengths: 1) 2) ? ?
8mm 5m
15mm
6.4m 3) 4)
23cm
13m ?
17cm
12m ?

5. Pythagoras B Answers Calculate the unknown side lengths: ? ? 8mm 5m
Home
Calculate the unknown side lengths: 1) 2) ? ?
8mm 5m
15mm
6.4m 3) 4)
23cm
13m ?
17cm
12m ?

6. Pythagoras C Calculate the unknown lengths: 2.2m 5.3m ? 6m ? 1.2m 6.4m
Home
Calculate the unknown lengths:
2.2m
5.3m ? 1) 2) 6m ?
1.2m 4)
6.4m
2.8m ?
3.7m
7.4m ?
10.5m 3)

7. Pythagoras C Answers Calculate the unknown lengths: 2.2m 5.3m ? 6m ?
Home
Calculate the unknown lengths:
2.2m
5.3m ? 1) 2) 6m ?
1.2m 4)
6.4m
2.8m ?
3.7m
7.4m ?
10.5m 3)

8. Pythagoras D Calculate the unknown lengths: A B 8cm 8cm C 5cm 5cm 12cm
Home
Calculate the unknown lengths: 1) 2) A B
8cm
8cm C
5cm
5cm
12cm
12cm 3) 2m D
10.5m 3m
5.2m

9. Pythagoras D Answers Calculate the unknown lengths: A B 8cm 8cm C 5cm
Home
Calculate the unknown lengths: 1) 2) A B
8cm
8cm C
5cm
5cm
12cm
12cm 3) 2m D
10.5m 3m
5.2m

10. Trigonometry E
Home
Calculate the following (check your calculator is set to degrees) 1)
Sin 45˚
Cos 45˚
Tan 18˚ 4)
Sin 120˚
Cos 104˚
Tan 125˚ 2) 5) 3) 6)
Label the triangle sides: Opposite ‘O’ Adjacent ‘A’ Hypotenuse ‘H’ 7) 8)
23˚
51˚ 9)
10)
62˚
44˚

11. Trigonometry E Answers
Home
Calculate the following (check your calculator is set to degrees) 1)
Sin 45˚
Cos 45˚
Tan 18˚ 4)
Sin 120˚
Cos 104˚
Tan 125˚ 2) 5) 3) 6)
Label the triangle sides: Opposite ‘O’ Adjacent ‘A’ Hypotenuse ‘H’ 7) 8)
23˚
51˚ 9)
10)
62˚
44˚

12. Trigonometry F Calculate the unknown side of the triangle x 9m x 23cm
Home
Calculate the unknown side of the triangle 1) 2) x 9m
51˚ x
23cm
23˚ 4) x 3)
62˚ x
44˚
12km
14m

13. Trigonometry F Answers
Home
Calculate the unknown side of the triangle 1) 2) x 9m
51˚ x
23cm
23˚ 4) x 3)
62˚ x
44˚
12km
14m

14. Trigonometry G Calculate the unknown side of the triangle x 120mm
Home
Calculate the unknown side of the triangle 1) x 2)
39˚
120mm
3.5cm
32˚ x 4) 3)
71˚
240m
41˚ x
8.8m x

15. Trigonometry G Answers
Home
Calculate the unknown side of the triangle 1) x 2)
39˚
120mm
3.5cm
32˚ x 4) 3)
71˚
240m
41˚ x
8.8m x

16. Trigonometry H Calculate the unknown distance x 2.6m 6m 62˚ x 72˚
Home
Calculate the unknown distance 2)
2.6m x
62˚ 1) 6m
72˚ x 4) x
65˚
12.4m
8.9m
58˚ x 3)

17. Trigonometry H Answers
Home
Calculate the unknown distance 2)
2.6m x
62˚ 1) 6m
72˚ x 4) x
65˚
12.4m
8.9m
58˚ x 3)

18. Trigonometry I Calculate the unknown distance x 1.4km x 31˚ 41˚ 16m x
Home
Calculate the unknown distance 2) 1) x
1.4km x
31˚
41˚
16m 3) 4)
5.2m
75˚ x
6.7m
88˚ x

19. Trigonometry I Answers
Home
Calculate the unknown distance 2) 1) x
1.4km x
31˚
41˚
16m 3) 4)
5.2m
75˚ x
6.7m
88˚ x

20. Trigonometry J Calculate the unknown angles: 25mm α 8mm 5m α 6.4m 23cm
Home
Calculate the unknown angles: 1) 2)
25mm α
8mm 5m α
6.4m 3) 4)
23cm
13m
17cm α α
12m

21. Trigonometry J Answers
Home
Calculate the unknown angles: 1) 2)
25mm α
8mm 5m α
6.4m 3) 4)
23cm
13m
17cm α α
12m

22. Trigonometry K Calculate the unknown angles 8m α 2.6m 6m 5m α α α 6.4m
Home
Calculate the unknown angles 8m 2) 1) α
2.6m 6m 5m α 4) 3) α α
6.4m
2.3m
12m 9m

23. Trigonometry K Answers
Home
Calculate the unknown angles 8m 2) 1) α
2.6m 6m 5m α 4) 3) α α
6.4m
2.3m
12m 9m

24. Trigonometry L How long is the vector 18cm 15cm Home 55˚ 1) 4) 3) 2)
2) Length
3) Length
4) Angle

25. Trigonometry L Answers
Home
How long is the vector 1) 4)
18cm 3)
15cm
55˚ 2)
2) Length
3) Length
4) Angle

26. Trigonometry M Calculate the unknown distances or angles N E W S 8km
Home
Calculate the unknown distances or angles N E W S
8km
4.5km 1) 4)
Port
14km 5) 2) 3)
55˚
Port
A yacht sails for 23km on a bearing of 233 How far south of the port is the yacht now? 6) α

27. Trigonometry M Answers
Home
Calculate the unknown distances or angles N E W S
8km
4.5km 1) 4)
Port
14km 5) 2) 3)
55˚
Port
A yacht sails for 23km on a bearing of 233 How far south of the port is the yacht now? 6) α

28. Revision A Find the tree height ‘h’ h 35˚ 9.6m 1.6m
Home
1.6m h
35˚
9.6m
Find the tree height ‘h’ 1)
Find the length ‘x’ and angle β 2)
2.5cm x β
9.4cm
Find the length ‘x’ and angle α 3)
1.8m x
2.1m α

29. Revision A Answers Find the tree height ‘h’ h 35˚ 9.6m 1.6m
Home
1.6m h
35˚
9.6m
Find the tree height ‘h’ 1)
Find the length ‘x’ and angle β 2)
2.5cm x β
9.4cm
Find the length ‘x’ and angle α 3)
1.8m x
2.1m α

30. Revision B Find the height ‘h’ h 48˚ 11m
Home
Find the height ‘h’ 1) h
48˚
11m
Find the length ‘x’ and angle β 2) β x
1.9km
2.8km
Find the length ‘y’ 3) y
63˚
8.2m

31. Revision B Answers Find the height ‘h’ h 48˚ 11m
Home
Find the height ‘h’ 1) h
48˚
11m
Find the length ‘x’ and angle β 2) β x
1.9km
2.8km
Find the length ‘y’ 3) y
63˚
8.2m