S S 2 MATHEMATICS
1.Calculate the lengths marked x and y in the figures below. Give your answers in surd form. (a)(b)
2.The top of a building 24m high is observed from the top and from the bottom of a vertical tree. The angles of elevation are found to be 45o and 60o respectively, find the height of the tree. 3.A box contain ten marbles, seven of which are black and three are red. Three marbles are drawn one after the other without replacement. Find the probability of choosing.
(a) One red, one black and one red marble (In that oder)
(b) Two black marbles
(c) At least two black marbles
(d) At most two black marbles
4.Find the mean, median and mode of the set of numbers 11, 9, 6, 4, 3, 12, 1, 6, 5 5.The masses, in kg to the nearest kg of 40 people axes follows:
59, 54, 51, 56, 59, 61, 60, 61, 59, 58
62, 61, 63, 64, 58, 57, 56, 60, 62, 60
61, 65, 58, 57, 54, 52, 62, 67, 69, 49
56, 58, 60, 60, 62, 58, 51, 57, 70, 63
(a) Take class intervals of 46 - 50, 51 – 55… and make a table of frequencies.
(b) Draw the corresponding histogram
(c) Find the median mass
(d) Calculate the mean mass
6.An aeroplane flies due North from Ikeja airport for 500km. It then flies on a bearing of 060o for a further distance of 300km before overflying a road junction. Calculate;
(a) The distance of the aeroplane from ikeja airport when it was directly above the road junction
(b) The bearing of the aeroplane from ikeja airport at this instant.