*FIFTH WEEK ASSIGNMENT QUESTIONS*
*CLASS : SS3*
*TOPICS: Statistics, Angles, Angle of Elevation and Depression, Sequence and Series*

*QUESTION ONE*
The ages in years, of 50 teachers in a school are given below:
21 37 49 27 49 42 26
50 29 23 24 29 31 36
30 26 42 39 34 23 21
46 31 33 29 28 43 47
26 38 34 49 45 27 25
33 22 32 40 33 46 27
41 34 39 40 38 46 44
40.
(a) Form a frequency distribution of the data using the intervals: 21 - 25, 26 - 30, 31 - 35, etc.
(b). Draw the histogram of the distribution.
(c). Use your histogram to estimate the mode.
(d). Calculate the mean age.

*QUESTION TWO*
The triangle ABC has sides AB = 17m, BC = 12m and AC = 10m. Calculate the:
(i) largest angle of the triangle;
(ii) area of the triangle.

(b) From a point T on a horizontal ground, the angle of elevation of the top R of a tower RS, 38m high is 63°. Calculate, correct to the nearest metre, the distance between T and S.

*QUESTION THREE*
(a) If 3, x ,y , 18 are the Arithmetic Progression (AP), find the values of x and y.
(b) (i) The sum of the second and third terms of a geometric progression is six times the fourth term. Find the two possible values of the common ratio.
(ii) If the second term is 8 and the common ratio is positive, find the first six terms.