Further Mathematics Past QuestionsQuestion 806:The table shows the frequency distribution of heights (in cm) of pupils in a certain school.
(a) (i) Construct a cumulative frequency table. (ii) Use the table to draw a cumulative frequency curve. (b) Using the curve, estimate the: (i)median height; (ii) inter quartile range (iii) percentage of students whose heights are most 130cm. Question 807:The position vectors of P, Q and R with respect to the origin are (4i-5j), (i+3j) and (-5i+2j) respectively. If PQRM is a parallelogram, find: (a) the coordinates of M; (b) the acute angle between \(\overline{PM}\) and \(\overline{PQ}\), correct to the nearest degree. Question 808:(a) A girl threw a stone horizontally with a velocity of 30m/s from the top of a cliff 50m high. How far from the foot of the cliff does the stone strike the ground? [Take g= 10m/s\(^2\) (b) (b) A body A, of mass 2kg is held in equilibrium by means of two strings AP and AR. AP is inclined at 56° to the upward vertical and AR is horizontal. Find the tensions T\(_1\), and T\(_2\), in the strings [Take g= 10ms\(^2\)] |
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