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O-Level E-Maths Mensuration and Trigonometry quiz (SEAB 4052) quiz

14questions. Pick an answer and you'll see why right away.

  1. What is the area of a triangle with base 10 cm10\ \text{cm} and perpendicular height 6 cm6\ \text{cm}?

  2. A circle has radius 5 cm5\ \text{cm}. Taking π=3.142\pi = 3.142, what is its circumference to 3 significant figures?

  3. A sector has centre angle 72∘72^\circ in a circle of radius 10 cm10\ \text{cm}. What fraction of the whole circle is it?

  4. Taking π=3.142\pi = 3.142, what is the arc length of a 90∘90^\circ sector of radius 8 cm8\ \text{cm}, to 3 significant figures?

  5. What is the volume of a cylinder of radius 4 cm4\ \text{cm} and height 5 cm5\ \text{cm}, taking π=3.142\pi = 3.142, to 3 significant figures?

  6. A cone has base radius rr and slant height ll. What is its curved surface area?

  7. What is the volume of a sphere of radius 3 cm3\ \text{cm}, taking π=3.142\pi = 3.142, to 3 significant figures?

  8. In a right-angled triangle, which ratio is sin⁡θ\sin\theta?

  9. A ladder makes an angle of 65∘65^\circ with the ground and reaches 4 m4\ \text{m} up a wall. How long is the ladder, to 3 significant figures?

  10. What is the angle of depression?

  11. Which rule should you use to find a side when you know two sides and the included angle of a triangle?

  12. In triangle ABCABC, a=8a = 8, b=6b = 6 and the included angle C=60∘C = 60^\circ. Find the area.

  13. Using the cosine rule, find the longest side when two sides are 55 and 77 with included angle 120∘120^\circ.

  14. A composite solid is a cylinder topped by a hemisphere. How do you find its total volume?