a) Explain why God called Abraham     (7mks)

b) What challenges were experienced by Abraham in his life? (7mks)        

c) From the Mt. Moriah experience, explain what Abraham learnt about Gods nature (6mks)

Give Six reasons why Christians should forgive. (6mks)

Identify six consequences of sin according to Genesis chapter 3. (6mks)

Show how the study of CRE has promoted morality in the society   (5mks)

a) Show how the study of CRE has promoted morality in the society       (8mks)

b) Identify the consequences of sin according to Genesis chapter 3.        (6mks)

c) Give Six reasons why Christians should forgive.        (6mks)

(a) Use the trapezium rule with seven ordinates to estimate the area bounded by the curve y = ¹/₃x² - 3  and the lines x = -1 , x  = 5  and the x -axis              (4 mks)

(b) Calculate the exact area in (a) above by integration.                            (4 mks)

(c) Hence calculate the percentage error in using the trapezium rule            (2 mks)

Kajiado county government has two water supply points with pipes A and B. Pipe A pumps at the rate of 2.1 m/s and has a radius of 10 cm while pipe B pumps water at a rate of 1.4 m/s and has a radius of 12 cm. The water is pumped into a reservoir tank with a circular base of diameter 28 m and a height of 15 m. Use = 22/7 .

(a) Calculate the capacity of water in litres that is supplied in one hour by both pipes A and B.   (3 mks)

(b) The time in hours that it takes the reservoir tank to be three-quarters full.    (3 mks)

(c) Find the time it takes the full tank to reduce to 25% in height if a discharge pipe C of radius 15 cm drains the tank at the rate of 1.05 m/s.       (4 mks)

The table below shows the distribution of marks scored by 80 students in a Maths Olympiad contest.

(a) Using an assumed mean of 55.5, calculate the mean mark.                       (4 mks)

(b) On the grid provided, draw an ogive to represent the information above.       (2 mks)

(c)  Use the ogive in (b) above to:

   i. Determine the number of students who scored 60% and above.                  (2 mks)

ii.  Find the interquartile range.                                               (2 mks)

Three ships X, Y, and Z are approaching a harbour H. X is 16 km from the harbour and due East. Y is 14 km from the harbour on a bearing of 130⁰, and Z is 26 km to the West of Y and on a bearing of 240⁰ from the harbour.

(a) Sketch the relative positions of X, Y, Z, and H.                                   (2 mks)

(b) Calculate the distance of Y from Z correct to 2 decimal places.                      (3 mks)

(c) The bearing of X from Y to the nearest one degree.                                               (3 mks)

(d) A patrol ship P is sighted such that it is equidistant from ships X, Y and Z. Calculate the distance of P from H.                           (2 mks)

(a) Kisumu Boys High School relies entirely on three sources of power: Kenya Power, a school generator, and a solar system. The probabilities that the three sources are working at any given time are ⁴/₅ , ³/₄  and ²/₃  respectively.             Calculate the chance that:

i. There is power in the school.                                                             (2 mks)

ii. Only two sources are providing power to the school at a given time.           (3 mks)

(b) The table below shows the number of Form 1 students per stream and the percentage that do a foreign language    as an optional subject

A form 1 student is selected at random. Determine the probability that she:

i.  is from stream Blue or Yellow                      (2 mks)

ii. is from Green or Pink and does not take any foreign language as an optional subject   (3 mks)