A-Level MathematicsYear 2017Q5
Page 05 MARKS 5. In the diagram, PR 9 5 2 = + + i j k and RQ 12 9 3 = − − + i j k. Q S P R (a) Express PQ in terms of i, j and k. The point S divides QR in the ratio 1:2. (b) Show that PS 4 = −+ i j k. (c) Hence, find the size of angle QPS. 6. Solve sin cos 5 4 2 2 x x − = for 0 2 x ≤ < π. 7. (a) Find the x-coordinate of the stationary point on the curve with equation 3 6 2 y x x = − . (b) Hence, determine the greatest and least values of y in the interval 1 9 x ≤ ≤. [Turn over 2 2 5 5 4 3
Paper Source:NH_Mathematics_all_2017.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)