1. 1
   In triangle ABC, angle A = 40°, angle B = 65°, and side a (opposite angle A) = 12 cm.

   (a)

   What is the size of angle C?

   [1 mark]

   • A75°
   • B65°
   • C105°
   • D40°

   (b)

   Using the sine rule, what is the length of side b, to 3 significant figures?

   [1 mark]

   • A18.0 cm
   • B12.0 cm
   • C9.20 cm
   • D16.9 cm

   (c)

   Using the sine rule, what is the length of side c, to 3 significant figures?

   [1 mark]

   • A12.0 cm
   • B16.9 cm
   • C18.0 cm
   • D14.2 cm

   Total for question 1: 3 marks

2. 2
   Triangle PQR has PQ = 8 cm, QR = 11 cm and angle PQR = 55°.

   (a)

   Find the length of PR, giving your answer to 3 significant figures.

   [2 marks]

   (b)

   Find the area of triangle PQR, giving your answer to 3 significant figures.

   [2 marks]

   Total for question 2: 4 marks

3. 3
   Triangle XYZ has XY = 7 cm, YZ = 9 cm and XZ = 13 cm.

   (a)

   Find the size of angle Y, giving your answer to 1 decimal place.

   [3 marks]

   (b)

   Using your answer to part (a), find the area of triangle XYZ, giving your answer to 3 significant figures.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A ship sails from port A on a bearing of 060° for 25 km to point B. It then sails from B on a bearing of 130° for 18 km to point C.

   (a)

   Find the size of angle ABC, the interior angle of the ship's path at B.

   [4 marks]

   (b)

   Using your answer to part (a), find the distance AC, giving your answer to 3 significant figures.

   [4 marks]

   (c)

   Using your answers to parts (a) and (b), find the bearing of C from A, giving your answer to the nearest degree.

   [5 marks]

   Total for question 4: 13 marks

End of questions