An element T forms a divalent cation with electronic arrangement of 2,8,8.

(a)  i) To what period does it belong?    (1 mark)

      ii)  Name the chemical family to which it belongs.   (1mark)

(b) Write the formula of its Nitride.          (1mark)

Copper (II) Sulphate reacts with barium Chloride according to the equation below. 

Calculate the temperature change when 900cm³ of IM copper(II) Sulphate is added to 600cm³ of 1M barium Chloride. (C = 4.2J/K, density of solution 1g/cm³)              (3 marks)

Describe how you would prepare a sample of Barium Sulphate using the following reagents; Dilute Sulphuric (VI) acid, dilute Hydrochloric acid and Barium Carbonate. (3 marks)

(a) State and explain the observation made when sodium carbonate powder is added to Aluminum Chloride solution.     (2 marks)

(b) Identify the acid in the forward reaction given the equation below explain.    (2 marks)

The volume of two similar solid cylinders are 4096cm³ and 1728cm³.

(a) If the curved surface area of the smaller one is 112cm². Find the height of the larger cylinder if the radius is 7cm.                                             (4mks)

b) The diagram below represents a solid made up of a hemisphere mounted on a cone. The radius of the hemisphere and cone are each 6cm, and the height of the cone is 9cm. 

Calculate the volume of the solid.  Take p =  ²²/₇                                                       (6mks)                                                            

(a) Draw the quadrilateral with vertices at A (-6,-1) B (-6,-4) C (3,-7) and D (3,2).         (1mk)

(b) On the same grid draw the image of ABCD under enlargement centre (0,-1) scale factor ¹/₃ label the image A¹ B¹ C¹ D¹           (3mks)

(c) Draw A¹¹B¹¹C¹¹D¹¹ the image of A¹ B¹ C¹ D¹ under rotation of +ve 90⁰ about (1,0)         (2mks)

(d) Draw A¹¹¹B¹¹¹C¹¹¹D¹¹¹ the image of A¹¹ B¹¹ C¹¹ D¹¹ under a reflection in the line y-x = 0 (2mks)

(e) Draw A^1VB^1VC^1VD^1V the image of A¹¹¹ B¹¹¹ C¹¹¹ D¹¹¹ under translation (2 3) and write the co-ordinate of the final image.  (2mks)

(a) Draw the graph of y  =  2x² - 3x - 5  taking the values of x in the interval  -2 ≤ x ≤ 4.          (5mks)

(b) Use the graph in to solve the equation 2x² - 3x - 5 = 0                                      (2mks)

(c) Using a suitable straight line, solve the equation 2x² - 5x - 3 = 0                          (3mks)

The fourth, seventh and sixteenth term of an arithmetic progression are in geometric progression. The sum of the first six terms of the arithmetic progression is 12. Determine the

(a) First term and the common difference of the arithmetic progression.                           (6mks)

(b) Common ratio of the geometric progression.                                                            (2mks)

(c) Sum of the first six terms of the geometric progression.                                            (2mks)

Three towns X, Y and Z are such that X is on a bearing of 1200 and 20km from Y.  Town Z is on a bearing of 220⁰ and 12cm from X

(a) Using a scale of 1cm to represent 2km, show the relative position of the places      (3mks)

(b) Find;

(i) The distance between    Y and Z                                      (2mks)

(ii) The bearing of X from Z                                                   (1mk)

(iii) The bearing of Z from Y                                                 (1mk)

(iv) The area of the figure bounded by XYZ                           (3mks)

Three darts players Jane, Kelly and Brony are playing in a completion the probability that Jane, Kelly and Brony hit the bull’s eyes is ¹/₅  ,²/₅   and ³/₁₀  respectively.

(a) Draw a probability tree diagram to show all the possible outcomes for the players.          (4mks)

(b) Calculate the probability that :

     i)  Jane or Brony hit the bull’s eye.                                              (2mks)

     ii)  All the three fail to hit the bull’s eye.                                                               (2mks)

      iii) Only two fails to hit the bull’s eye.                                                                  (2mks)