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Oak MathsTest · Maths

Using the sine and cosine rules

The starter and exit quiz of the lesson “Using the sine and cosine rules”, from the unit “Non right-angled trigonometry” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Which of the following is the cosine rule?
  2. Which of the following is the sine rule?
  3. Given a triangle with lengths a=8 cm and angle B=36° and a length c=8 cm, work out the missing length to 1 decimal place.
  4. Given a triangle with lengths a=8 cm and angle B=36° and a length c=10 cm, work out the missing length to 1 decimal place.
  5. Given a triangle with lengths a=4 cm, b=6 cm and c=8 cm, work out the angle B to 1 decimal place.
  6. Given a triangle with lengths a=4 cm, b=6 cm and c=4 cm, work out the angle B to 1 decimal place.
  7. What formula is used to find the volume of a cylinder?
  8. Using Pythagoras' theorem, find the missing length when c is the hypotenuse and b and a are the adjacent lengths.
  9. Using the diagram, work out the correct height and radius.
  10. Using the diagram, work out the correct height and radius.
  11. A plane starts at City X and flies 6 km due north to City A, then turns at a bearing of 059° and travels 11.7km to City B. If the plane flew directly from City X to City B, what is the distance?
  12. A plane starts at an airport and then travels North 12 km, then North East 8.5 km. What is the bearing and distance the plane needs to travel to get back to the airport?

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Using the sine and cosine rules · Examplary