Sine & Cosine Rule · MCQ assessment

Version A

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1A triangle has two sides of length 14 cm and 16 cm with an angle of 126$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A65.8B181.2C90.6D112

2In triangle $ABC$, $b = 8$ cm, $c = 13$ cm and the angle $A = 89^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A15.1B5C15.4D15.3

3In triangle $ABC$, angle $A = 43^\circ$, angle $B = 52^\circ$ and side $a = 14$ cm.
Work out the length of side $b$, to 1 decimal place.

A11B16.2C12.1D12.6

4A triangle has two sides of length 9 cm and 16 cm with an angle of 54$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A116.5B42.3C58.2D72

5In triangle $ABC$, $b = 13$ cm, $c = 13$ cm and the angle $A = 128^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A23.4B8.5C11.4D18.4

6In triangle $ABC$, angle $A = 61^\circ$, angle $B = 36^\circ$ and side $a = 10$ cm.
Work out the length of side $b$, to 1 decimal place.

A9.2B14.9C6.7D5.9

7A triangle has two sides of length 15 cm and 16 cm with an angle of 126$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A120B70.5C97.1D194.2

8In triangle $ABC$, $b = 13$ cm, $c = 8$ cm and the angle $A = 64^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A6.8B11.9C18D15.3

9In triangle $ABC$, angle $A = 45^\circ$, angle $B = 41^\circ$ and side $a = 6$ cm.
Work out the length of side $b$, to 1 decimal place.

A6.4B6.5C3.9D5.6

10A triangle has two sides of length 6 cm and 8 cm with an angle of 43$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A17.6B24C32.7D16.4

11In triangle $ABC$, $b = 10$ cm, $c = 11$ cm and the angle $A = 51^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A14.9B19C9.1D7.1

12In triangle $ABC$, angle $A = 50^\circ$, side $a = 12$ cm and side $b = 10$ cm.
Side $b$ is shorter than side $a$, so angle $B$ is acute.
Work out the size of angle $B$, to 1 decimal place.

A50.3B140.3C90.3D39.7

13Triangle $ABC$ has $b = 17$ cm, $c = 13$ cm and the included angle $A = 78^\circ$.
Work out the perimeter of the triangle, to 1 decimal place.

A53.4B19.1C51.4D49.1

14In triangle $ABC$ the sine rule gives $\sin B = \sin 49^\circ$.
The triangle can be drawn in two different ways.
What are the two possible sizes of angle $B$?

A49° and 41°B49° onlyC131° onlyD49° and 131°

15A ship sails 13 km from $P$ to $Q$ on a bearing of $060^\circ$.
At $Q$ it changes course and sails 9 km to $R$ on a bearing of $133^\circ$.
Work out the direct distance from $P$ to $R$, to 1 decimal place.

A17.8B15.8C22D13.5

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Sine & Cosine Rule · MCQ assessment

Version B

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1A triangle has two sides of length 7 cm and 14 cm with an angle of 78$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A47.9B49C10.2D95.9

2In triangle $ABC$, $b = 12$ cm, $c = 7$ cm and the angle $A = 56^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A10B13.9C16.9D7.3

3In triangle $ABC$, angle $A = 47^\circ$, angle $B = 72^\circ$ and side $a = 12$ cm.
Work out the length of side $b$, to 1 decimal place.

A15.6B9.2C5.1D11.4

4A triangle has two sides of length 7 cm and 14 cm with an angle of 46$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A49B34C35.2D70.5

5In triangle $ABC$, $b = 14$ cm, $c = 11$ cm and the angle $A = 37^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A23.7B8.4C17.8D11.5

6In triangle $ABC$, angle $A = 72^\circ$, angle $B = 58^\circ$ and side $a = 10$ cm.
Work out the length of side $b$, to 1 decimal place.

A8.5B11.2C5.6D8.9

7A triangle has two sides of length 15 cm and 13 cm with an angle of 53$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A97.5B58.7C77.9D155.7

8In triangle $ABC$, $b = 10$ cm, $c = 6$ cm and the angle $A = 56^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A6B11.7C8.3D14.3

9In triangle $ABC$, angle $A = 50^\circ$, angle $B = 52^\circ$ and side $a = 8$ cm.
Work out the length of side $b$, to 1 decimal place.

A8.2B6.3C7.8D6.4

10A triangle has two sides of length 13 cm and 14 cm with an angle of 88$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A91B181.9C90.9D3.2

11In triangle $ABC$, $b = 10$ cm, $c = 9$ cm and the angle $A = 106^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A13.5B15.2C11.5D2.8

12In triangle $ABC$, angle $A = 56^\circ$, side $a = 9$ cm and side $b = 7$ cm.
Side $b$ is shorter than side $a$, so angle $B$ is acute.
Work out the size of angle $B$, to 1 decimal place.

A49.8B83.8C40.2D139.8

13Triangle $ABC$ has $b = 12$ cm, $c = 9$ cm and the included angle $A = 95^\circ$.
Work out the perimeter of the triangle, to 1 decimal place.

A36B36.6C15.6D35.4

14A triangle has area 38.8 cm².
One side is 6 cm and the angle between that side and an unknown side $b$ is 84$^\circ$.
Work out the length of side $b$, to 1 decimal place.

A13.0B12.9C123.7D6.5

15A walker leaves camp ($A$) and walks 17 km to the lake ($B$) on a bearing of $116^\circ$.
From the lake the walker turns and walks 14 km to the summit ($C$) on a bearing of $198^\circ$.
Work out the bearing of the summit from camp, to the nearest degree.

A332°B152°C214°D036°

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Sine & Cosine Rule · MCQ assessment

Version C

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1In triangle $ABC$, $b = 14$ cm, $c = 8$ cm and the angle $A = 54^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A19.8B8.9C11.3D16.1

2A triangle has two sides of length 15 cm and 6 cm with an angle of 46$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A32.4B31.3C64.7D45

3In triangle $ABC$, angle $A = 36^\circ$, angle $B = 68^\circ$ and side $a = 13$ cm.
Work out the length of side $b$, to 1 decimal place.

A20.5B8.2C8.3D12.1

4In triangle $ABC$, $b = 9$ cm, $c = 13$ cm and the angle $A = 95^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A15.2B4.1C15.8D16.4

5A triangle has two sides of length 16 cm and 14 cm with an angle of 51$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A174.1B87C112D70.5

6In triangle $ABC$, angle $A = 69^\circ$, angle $B = 42^\circ$ and side $a = 9$ cm.
Work out the length of side $b$, to 1 decimal place.

A12.6B6C7.2D6.5

7In triangle $ABC$, $b = 7$ cm, $c = 10$ cm and the angle $A = 124^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A5.7B12.2C8.4D15.1

8A triangle has two sides of length 16 cm and 12 cm with an angle of 108$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A91.3B29.7C96D182.6

9In triangle $ABC$, angle $A = 46^\circ$, angle $B = 59^\circ$ and side $a = 11$ cm.
Work out the length of side $b$, to 1 decimal place.

A13.1B9.4C7.9D9.2

10In triangle $ABC$, $b = 8$ cm, $c = 8$ cm and the angle $A = 100^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A1.4B11.3C10.3D12.3

11A triangle has two sides of length 6 cm and 9 cm with an angle of 52$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A21.3B16.6C27D42.6

12In triangle $ABC$ the sine rule gives $\sin B = \sin 35^\circ$.
The triangle can be drawn in two different ways.
What are the two possible sizes of angle $B$?

A145° onlyB35° and 145°C35° and 55°D35° only

13In triangle $ABC$, angle $A = 76^\circ$, side $a = 10$ cm and side $b = 5$ cm.
Side $b$ is shorter than side $a$, so angle $B$ is acute.
Work out the size of angle $B$, to 1 decimal place.

A29.0B75.0C61.0D151.0

14Triangle $ABC$ has $b = 17$ cm, $c = 10$ cm and the included angle $A = 103^\circ$.
Work out the perimeter of the triangle, to 1 decimal place.

A44.7B46.7C48.6D21.6

15In triangle $ABC$, angle $B = 75^\circ$, angle $C = 65^\circ$ and side $c = AB = 7$ cm.
Work out the area of triangle $ABC$, to 1 decimal place.

A17.4B11.2C16.8D33.6

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Sine & Cosine Rule · MCQ assessment

Version D

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1In triangle $ABC$, angle $A = 60^\circ$, angle $B = 52^\circ$ and side $a = 14$ cm.
Work out the length of side $b$, to 1 decimal place.

A15.4B10C11D12.7

2In triangle $ABC$, $b = 8$ cm, $c = 11$ cm and the angle $A = 48^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A17.4B7.4C13.6D8.2

3A triangle has two sides of length 14 cm and 8 cm with an angle of 44$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A38.9B56C40.3D77.8

4In triangle $ABC$, angle $A = 51^\circ$, angle $B = 70^\circ$ and side $a = 8$ cm.
Work out the length of side $b$, to 1 decimal place.

A9.7B7.5C3.5D6.6

5In triangle $ABC$, $b = 11$ cm, $c = 14$ cm and the angle $A = 112^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A14.2B17.8C5.6D20.8

6A triangle has two sides of length 11 cm and 14 cm with an angle of 63$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A77B68.6C137.2D35

7In triangle $ABC$, angle $A = 47^\circ$, angle $B = 58^\circ$ and side $a = 9$ cm.
Work out the length of side $b$, to 1 decimal place.

A7.6B6.5C10.4D7.8

8In triangle $ABC$, $b = 10$ cm, $c = 11$ cm and the angle $A = 76^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A13B2.7C16.6D14.9

9A triangle has two sides of length 9 cm and 14 cm with an angle of 46$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A63B45.3C43.8D90.6

10In triangle $ABC$, angle $A = 38^\circ$, angle $B = 47^\circ$ and side $a = 12$ cm.
Work out the length of side $b$, to 1 decimal place.

A14.3B13.3C8.8D10.1

11In triangle $ABC$, $b = 14$ cm, $c = 13$ cm and the angle $A = 98^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A20.4B19.1C2.1D17.7

12In triangle $ABC$ the sine rule gives $\sin B = \sin 56^\circ$.
The triangle can be drawn in two different ways.
What are the two possible sizes of angle $B$?

A56° onlyB56° and 124°C56° and 34°D124° only

13Triangle $ABC$ has $b = 15$ cm, $c = 15$ cm and the included angle $A = 100^\circ$.
Work out the perimeter of the triangle, to 1 decimal place.

A23B53C49.3D51.2

14A ship sails 8 km from $P$ to $Q$ on a bearing of $060^\circ$.
At $Q$ it changes course and sails 11 km to $R$ on a bearing of $106^\circ$.
Work out the direct distance from $P$ to $R$, to 1 decimal place.

A13.6B19C7.9D17.5

15A walker leaves Ashby ($A$) and walks 11 km to Beck ($B$) on a bearing of $057^\circ$.
From Beck the walker turns and walks 10 km to Crewe ($C$) on a bearing of $112^\circ$.
Work out the bearing of Crewe from Ashby, to the nearest degree.

A083°B182°C026°D263°

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Sine & Cosine Rule · MCQ assessment

Version E

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1A triangle has two sides of length 6 cm and 12 cm with an angle of 76$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A8.7B69.9C36D34.9

2In triangle $ABC$, $b = 7$ cm, $c = 8$ cm and the angle $A = 130^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A6.4B10.6C13.6D5.2

3In triangle $ABC$, angle $A = 51^\circ$, angle $B = 70^\circ$ and side $a = 12$ cm.
Work out the length of side $b$, to 1 decimal place.

A11.3B9.9C14.5D5.3

4A triangle has two sides of length 6 cm and 16 cm with an angle of 103$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A46.8B93.5C48D10.8

5In triangle $ABC$, $b = 11$ cm, $c = 14$ cm and the angle $A = 101^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A19.4B17.8C16.1D3.8

6In triangle $ABC$, angle $A = 41^\circ$, angle $B = 44^\circ$ and side $a = 10$ cm.
Work out the length of side $b$, to 1 decimal place.

A6.9B9.4C10.6D11

7A triangle has two sides of length 13 cm and 13 cm with an angle of 124$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A47.3B84.5C70.1D140.1

8In triangle $ABC$, $b = 10$ cm, $c = 9$ cm and the angle $A = 118^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A16.3B13.5C9.8D4.7

9In triangle $ABC$, angle $A = 69^\circ$, angle $B = 65^\circ$ and side $a = 11$ cm.
Work out the length of side $b$, to 1 decimal place.

A5B11.3C10D10.7

10A triangle has two sides of length 11 cm and 8 cm with an angle of 87$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A2.3B44C43.9D87.9

11In triangle $ABC$, $b = 11$ cm, $c = 10$ cm and the angle $A = 94^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A14.9B15.4C1.2D14.3

12In triangle $ABC$, angle $A = 50^\circ$, side $a = 13$ cm and side $b = 11$ cm.
Side $b$ is shorter than side $a$, so angle $B$ is acute.
Work out the size of angle $B$, to 1 decimal place.

A139.6B40.4C89.6D49.6

13In triangle $ABC$ the sine rule gives $\sin B = \sin 39^\circ$.
The triangle can be drawn in two different ways.
What are the two possible sizes of angle $B$?

A39° and 141°B39° and 51°C39° onlyD141° only

14A triangle has area 81.5 cm².
One side is 14 cm and the angle between that side and an unknown side $b$ is 104$^\circ$.
Work out the length of side $b$, to 1 decimal place.

A11.6B48.1C12.0D6.0

15In triangle $ABC$, angle $B = 56^\circ$, angle $C = 65^\circ$ and side $c = AB = 11$ cm.
Work out the area of triangle $ABC$, to 1 decimal place.

A57.2B49C47.4D94.9

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Sine & Cosine Rule · MCQ assessment

Version F

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1A triangle has two sides of length 15 cm and 11 cm with an angle of 64$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A82.5B74.2C148.3D36.2

2In triangle $ABC$, angle $A = 61^\circ$, angle $B = 70^\circ$ and side $a = 10$ cm.
Work out the length of side $b$, to 1 decimal place.

A9.3B10.7C9.4D3.9

3In triangle $ABC$, $b = 14$ cm, $c = 14$ cm and the angle $A = 86^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A19.8B19.1C20.5D1

4A triangle has two sides of length 12 cm and 13 cm with an angle of 41$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A51.2B78C58.9D102.3

5In triangle $ABC$, angle $A = 46^\circ$, angle $B = 76^\circ$ and side $a = 14$ cm.
Work out the length of side $b$, to 1 decimal place.

A18.9B10.4C13.6D4.7

6In triangle $ABC$, $b = 11$ cm, $c = 6$ cm and the angle $A = 36^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A16.2B12.5C7.1D8.9

7A triangle has two sides of length 16 cm and 9 cm with an angle of 55$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A41.3B72C59D118

8In triangle $ABC$, angle $A = 52^\circ$, angle $B = 55^\circ$ and side $a = 13$ cm.
Work out the length of side $b$, to 1 decimal place.

A13.5B10.6C12.5D9.5

9In triangle $ABC$, $b = 14$ cm, $c = 9$ cm and the angle $A = 44^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A16.6B21.4C10.1D9.8

10A triangle has two sides of length 15 cm and 6 cm with an angle of 60$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A77.9B45C22.5D39

11In triangle $ABC$, angle $A = 77^\circ$, angle $B = 62^\circ$ and side $a = 7$ cm.
Work out the length of side $b$, to 1 decimal place.

A6.2B3.4C7.7D6.3

12In triangle $ABC$ the sine rule gives $\sin B = \sin 38^\circ$.
The triangle can be drawn in two different ways.
What are the two possible sizes of angle $B$?

A38° and 52°B142° onlyC38° and 142°D38° only

13Triangle $ABC$ has $b = 17$ cm, $c = 12$ cm and the included angle $A = 105^\circ$.
Work out the perimeter of the triangle, to 1 decimal place.

A49.8B23.2C52.2D47.1

14A ship sails 9 km from $P$ to $Q$ on a bearing of $060^\circ$.
At $Q$ it changes course and sails 8 km to $R$ on a bearing of $151^\circ$.
Work out the direct distance from $P$ to $R$, to 1 decimal place.

A11.9B12C17D12.1

15A triangle has area 29 cm².
One side is 7 cm and the angle between that side and an unknown side $b$ is 124$^\circ$.
Work out the length of side $b$, to 1 decimal place.

A10.0B8.3C14.8D5.0

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Sine & Cosine Rule · MCQ assessment

Version G

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1A triangle has two sides of length 16 cm and 12 cm with an angle of 137$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A65.5B130.9C96D70.2

2In triangle $ABC$, $b = 14$ cm, $c = 13$ cm and the angle $A = 125^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A24B8.2C19.1D12.5

3In triangle $ABC$, angle $A = 57^\circ$, angle $B = 68^\circ$ and side $a = 14$ cm.
Work out the length of side $b$, to 1 decimal place.

A6.3B13C12.7D15.5

4A triangle has two sides of length 14 cm and 13 cm with an angle of 127$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A72.7B54.8C145.4D91

5In triangle $ABC$, $b = 14$ cm, $c = 9$ cm and the angle $A = 70^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A19.1B13.8C16.6D6.3

6In triangle $ABC$, angle $A = 53^\circ$, angle $B = 68^\circ$ and side $a = 9$ cm.
Work out the length of side $b$, to 1 decimal place.

A4.2B7.8C8.3D10.4

7A triangle has two sides of length 16 cm and 8 cm with an angle of 85$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A63.8B5.6C127.5D64

8In triangle $ABC$, $b = 6$ cm, $c = 11$ cm and the angle $A = 67^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A10.3B14.4C12.5D6

9In triangle $ABC$, angle $A = 80^\circ$, angle $B = 52^\circ$ and side $a = 7$ cm.
Work out the length of side $b$, to 1 decimal place.

A5.6B5.5C4.4D8.7

10A triangle has two sides of length 8 cm and 10 cm with an angle of 138$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A26.8B29.7C40D53.5

11In triangle $ABC$, $b = 11$ cm, $c = 14$ cm and the angle $A = 101^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A16.1B17.8C19.4D3.8

12In triangle $ABC$ the sine rule gives $\sin B = \sin 63^\circ$.
The triangle can be drawn in two different ways.
What are the two possible sizes of angle $B$?

A63° and 117°B63° onlyC117° onlyD63° and 27°

13Triangle $ABC$ has $b = 17$ cm, $c = 9$ cm and the included angle $A = 85^\circ$.
Work out the perimeter of the triangle, to 1 decimal place.

A18.5B44.5C45.9D45.2

14In triangle $ABC$, angle $A = 76^\circ$, side $a = 13$ cm and side $b = 8$ cm.
Side $b$ is shorter than side $a$, so angle $B$ is acute.
Work out the size of angle $B$, to 1 decimal place.

A67.3B36.7C143.3D53.3

15A triangle has area 44.1 cm².
One side is 7 cm and the angle between that side and an unknown side $b$ is 76$^\circ$.
Work out the length of side $b$, to 1 decimal place.

A12.6B6.5C13.0D52.1

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Sine & Cosine Rule · MCQ assessment

Version H

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1A triangle has two sides of length 10 cm and 9 cm with an angle of 124$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A74.6B37.3C25.2D45

2In triangle $ABC$, $b = 14$ cm, $c = 13$ cm and the angle $A = 107^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A19.1B21.7C16.1D4.1

3In triangle $ABC$, angle $A = 54^\circ$, angle $B = 74^\circ$ and side $a = 11$ cm.
Work out the length of side $b$, to 1 decimal place.

A3.7B9.3C10.6D13.1

4A triangle has two sides of length 16 cm and 16 cm with an angle of 55$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A104.9B209.7C128D73.4

5In triangle $ABC$, $b = 13$ cm, $c = 14$ cm and the angle $A = 76^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A19.1B21.3C3.4D16.6

6In triangle $ABC$, angle $A = 53^\circ$, angle $B = 50^\circ$ and side $a = 7$ cm.
Work out the length of side $b$, to 1 decimal place.

A6.7B5.6C5.4D7.3

7A triangle has two sides of length 6 cm and 10 cm with an angle of 57$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A50.3B16.3C30D25.2

8In triangle $ABC$, $b = 10$ cm, $c = 13$ cm and the angle $A = 48^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A21B8.7C16.4D9.7

9In triangle $ABC$, angle $A = 70^\circ$, angle $B = 49^\circ$ and side $a = 11$ cm.
Work out the length of side $b$, to 1 decimal place.

A8.8B8.3C7.7D13.7

10A triangle has two sides of length 7 cm and 15 cm with an angle of 131$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A39.6B34.4C79.2D52.5

11In triangle $ABC$, $b = 8$ cm, $c = 6$ cm and the angle $A = 76^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A10B8.8C11.1D2.6

12Triangle $ABC$ has $b = 12$ cm, $c = 15$ cm and the included angle $A = 54^\circ$.
Work out the perimeter of the triangle, to 1 decimal place.

A12.5B46.2C39.5D51.1

13In triangle $ABC$, angle $A = 57^\circ$, side $a = 13$ cm and side $b = 10$ cm.
Side $b$ is shorter than side $a$, so angle $B$ is acute.
Work out the size of angle $B$, to 1 decimal place.

A139.8B40.2C82.8D49.8

14A triangle $ABC$ has sides $a = 10$ cm, $b = 9$ cm and $c = 11$ cm.
Work out the size of angle $A$, to 1 decimal place.

A50.5B59C121D70.5

15A walker leaves camp ($A$) and walks 12 km to the lake ($B$) on a bearing of $040^\circ$.
From the lake the walker turns and walks 9 km to the summit ($C$) on a bearing of $127^\circ$.
Work out the bearing of the summit from camp, to the nearest degree.

A076°B036°C256°D133°

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Sine & Cosine Rule · MCQ assessment

Version I

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1In triangle $ABC$, $b = 10$ cm, $c = 14$ cm and the angle $A = 81^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A17.2B18.4C15.9D4.4

2In triangle $ABC$, angle $A = 70^\circ$, angle $B = 53^\circ$ and side $a = 14$ cm.
Work out the length of side $b$, to 1 decimal place.

A11.9B16.5C9D11.2

3A triangle has two sides of length 11 cm and 7 cm with an angle of 108$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A38.5B36.6C11.9D73.2

4In triangle $ABC$, $b = 12$ cm, $c = 11$ cm and the angle $A = 38^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A21.7B10.1C7.5D16.3

5In triangle $ABC$, angle $A = 38^\circ$, angle $B = 57^\circ$ and side $a = 8$ cm.
Work out the length of side $b$, to 1 decimal place.

A10.9B5.9C6.7D7.1

6A triangle has two sides of length 10 cm and 7 cm with an angle of 81$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A34.6B5.5C69.1D35

7In triangle $ABC$, $b = 8$ cm, $c = 6$ cm and the angle $A = 104^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A2.6B11.1C10D8.8

8In triangle $ABC$, angle $A = 52^\circ$, angle $B = 79^\circ$ and side $a = 7$ cm.
Work out the length of side $b$, to 1 decimal place.

A5.6B1.7C8.7D6.9

9A triangle has two sides of length 8 cm and 13 cm with an angle of 123$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A87.2B28.3C52D43.6

10In triangle $ABC$, $b = 13$ cm, $c = 10$ cm and the angle $A = 72^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A4.7B16.4C18.7D13.7

11In triangle $ABC$, angle $A = 62^\circ$, angle $B = 54^\circ$ and side $a = 14$ cm.
Work out the length of side $b$, to 1 decimal place.

A12.8B15.3C9.3D11.3

12In triangle $ABC$ the sine rule gives $\sin B = \sin 31^\circ$.
The triangle can be drawn in two different ways.
What are the two possible sizes of angle $B$?

A31° and 59°B31° onlyC149° onlyD31° and 149°

13A triangle $ABC$ has sides $a = 13$ cm, $b = 10$ cm and $c = 15$ cm.
Work out the size of angle $A$, to 1 decimal place.

A41.1B80.3C121.3D58.7

14In triangle $ABC$, angle $A = 74^\circ$, side $a = 10$ cm and side $b = 8$ cm.
Side $b$ is shorter than side $a$, so angle $B$ is acute.
Work out the size of angle $B$, to 1 decimal place.

A39.7B55.7C50.3D129.7

15In triangle $ABC$, angle $B = 43^\circ$, angle $C = 59^\circ$ and side $c = AB = 13$ cm.
Work out the area of triangle $ABC$, to 1 decimal place.

A96.4B65.8C131.5D94.3

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Sine & Cosine Rule · MCQ assessment

Version J

Tick one box (A, B, C or D) for each question. 15 questions, 1 mark each.Name: __________ Class: ______

Mark bar · shade a box for each question you got right

123456789101112131415

/ 15

1In triangle $ABC$, angle $A = 58^\circ$, angle $B = 61^\circ$ and side $a = 13$ cm.
Work out the length of side $b$, to 1 decimal place.

A11.4B12.6C7.4D13.4

2A triangle has two sides of length 8 cm and 10 cm with an angle of 105$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A38.6B77.3C10.4D40

3In triangle $ABC$, $b = 14$ cm, $c = 12$ cm and the angle $A = 86^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A19.1B17.8C2.2D18.4

4In triangle $ABC$, angle $A = 58^\circ$, angle $B = 64^\circ$ and side $a = 13$ cm.
Work out the length of side $b$, to 1 decimal place.

A12.3B6.7C13.8D11.7

5A triangle has two sides of length 15 cm and 10 cm with an angle of 66$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A137B75C68.5D30.5

6In triangle $ABC$, $b = 13$ cm, $c = 10$ cm and the angle $A = 91^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A16.4B3C16.3D16.5

7In triangle $ABC$, angle $A = 67^\circ$, angle $B = 35^\circ$ and side $a = 11$ cm.
Work out the length of side $b$, to 1 decimal place.

A6.3B6.9C17.7D9.8

8A triangle has two sides of length 13 cm and 15 cm with an angle of 138$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A65.2B130.5C97.5D72.5

9In triangle $ABC$, $b = 6$ cm, $c = 8$ cm and the angle $A = 44^\circ$ between them.
Work out the length of side $a$, to 1 decimal place.

A5.8B5.6C10D13

10In triangle $ABC$, angle $A = 45^\circ$, angle $B = 77^\circ$ and side $a = 12$ cm.
Work out the length of side $b$, to 1 decimal place.

A11.7B8.7C16.5D3.8

11A triangle has two sides of length 9 cm and 15 cm with an angle of 95$^\circ$ between them.
Work out the area of the triangle, to 1 decimal place.

A134.5B67.2C67.5D5.9

12In triangle $ABC$ the sine rule gives $\sin B = \sin 44^\circ$.
The triangle can be drawn in two different ways.
What are the two possible sizes of angle $B$?

A136° onlyB44° and 46°C44° and 136°D44° only

13A ship sails 8 km from $P$ to $Q$ on a bearing of $050^\circ$.
At $Q$ it changes course and sails 9 km to $R$ on a bearing of $160^\circ$.
Work out the direct distance from $P$ to $R$, to 1 decimal place.

A12B13.9C17D9.8

14A walker leaves camp ($A$) and walks 14 km to the lake ($B$) on a bearing of $115^\circ$.
From the lake the walker turns and walks 12 km to the summit ($C$) on a bearing of $181^\circ$.
Work out the bearing of the summit from camp, to the nearest degree.

A030°B229°C325°D145°

15In triangle $ABC$, angle $B = 50^\circ$, angle $C = 51^\circ$ and side $c = AB = 10$ cm.
Work out the area of triangle $ABC$, to 1 decimal place.

A62B48.4C96.8D63.2

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