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Advanced problem solving with right-angled trigonometry

The starter and exit quiz of the lesson “Advanced problem solving with right-angled trigonometry”, from the unit “Right-angled trigonometry” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Work out the length of the hypotenuse, to 1 decimal place.
  2. Work out the length of the missing side of this right-angled triangle, to 1 decimal place.
  3. Work out the length of the line segment AB, where A(-2, -6) and B(1, -10).
  4. Work out x to 1 decimal place.
  5. Work out the size of the angle, x, to 1 decimal place.
  6. Work out the length of the edge marked x to 1 decimal place.
  7. ABCD is a square on a grid, where each square is 1 unit. Work out the length of BC, to 1 decimal place.
  8. The exact area of the square ABCD is ___ square units.
  9. Work out the length of CD correct to 1 decimal place.
  10. Work out the perpendicular height of this isosceles triangle, to 1 decimal place.
  11. Given that FE = 12 cm, EH = 19 cm and angle DHE = 40^\circ, calculate the volume of the cuboid ABCDEFGH, to the nearest integer.
  12. Match the parts of the cylinder to the correct calculation/answer.

License: OGL

Advanced problem solving with right-angled trigonometry · Examplary