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Oak MathsTest · Maths

The cosine rule

The starter and exit quiz of the lesson “The cosine rule”, 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 are equivalent to \cos(\theta°)=\frac{\text{adj}}{\text{hyp}}?
  2. Match the trigonometric ratio with the correct definition.
  3. Match the following values.
  4. A right-angled triangle has a height of 15 cm and a hypotenuse of 17 cm. Work out the area.
  5. An isosceles triangle has a base of 16 cm and base angles of 53.97° (2 d.p). The area of this triangle, given to 2 significant figures, is ___cm^2.
  6. Six equilateral triangles are put together to make a regular hexagon. The length of each triangle is 10 cm. Work out the exact area of the regular hexagon.
  7. Match the correct rules, theorem or formulae.
  8. Which of the following are the cosine rule?
  9. A triangle has adjacent lengths of 16 cm and 20 cm with an angle in between of 55°. Work out the missing length to 1 decimal place.
  10. This proof has been mixed up. Write each line in order, starting with p^2 + (b - r)^2 = a^2.
  11. Given a triangle with lengths labelled a, b and c, match up the length b with dimensions of the triangle and the angle B.
  12. Given a triangle with lengths labelled a, b and c, match up the angle B with the dimensions of the triangle.

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The cosine rule · Examplary