O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2019 · Q15 Marks
(a) On the Venn diagrams below, shade the region indicated. [Figure 1.1] (b) E = {x : 0° ≤ x ≤ 360°} P = {x: cos2x = 0.5} Q = {x: sinx = 0.5} Find P∩Q.
- (a)On the Venn diagrams below, shade the region indicated.[2]
- (b)E = {x : 0° ≤ x ≤ 360°} P = {x: cos2x = 0.5} Q = {x: sinx = 0.5} Find P∩Q.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [B1] (a) [diagram for A'∩B'∩C' shaded correctly]
- [B1] (a) [diagram for A∪(B∩C) shaded correctly]
- [B1] P = {30°, 150°, 210°, 330°} May be seen or implied in a Venn diagram Allow without set notation
- [B1] Q = {30°, 150°} May be seen or implied in a Venn diagram Allow without set notation
- [B1] P∩Q = {30°,150°} Dep on both previous B marks Must be in set notation
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