(a) Describe seven teachings of prophet Jeremiah on hope and restoration of Israel.   (7Marks)

(b) Give the promises which the Israelites made during the renewal of the covenant under Nehemiah    (7Marks)

(c) State the reasons why Nehemiah carried out religious reforms in Judah.   (6Marks)

(a) Identify five characteristics of false prophets in the Old Testament.   (5Marks)

(b) Explain the evils that prophet Amos condemned against foreign nations surrounding Israel.   (8Marks)

(c) State seven reasons which render the way some Christians worship unacceptable before God. (7Marks)

(a) Identify eight ways through which King David demonstrated his faith in God.     (8 Marks)

(b) From the stories of King Saul and King David, state six characteristics of Israelite Kings in accordance with Yahweh’s expectations.     (6 Marks)

(c) Give lessons modern leaders can learn from the failures of King Solomon.     (6 Marks)

(a) What instructions did God give to Abraham on circumcision?       (5 Marks)

(b) State eight similarities between the Jewish and African practice on circumcision     (8 Marks)

(c) Explain the relevance of God’s promises to Abraham to Christians today.       (7 Marks)

(a) Explain the circumstances which made the early Christians to put into writing the oral traditions about the life and teachings of Jesus a few years after his ascension. (7marks)

(b) Outline seven teachings about marriage from the creation accounts in Genesis chapter 1 and 2 (7marks)

(c) Give six reasons why Christians use songs as a way of spreading the word of God today. (6marks)

The vertices of a triangle PQR are P(1,1), Q (4,1) and R(5,4).

a) On the graph provided, plot the triangle PQR.           (1mk)

b) A transformation represented by a matrix T = maps triangle PQR onto P^IQ^IR^I . Draw and state the coordinates of P^IQ^IR^I.           (3mks)

c) Another transformation U = maps P^IQ^IR^I onto P^IIQ^IIR^II. Draw and state the coordinates of PIIQ IIR II . (3mks)

d) Describe a single transformation that maps PQR onto P^IIQ^IIR^II and find its matrix. (3mks)

Using the equation of the curve y = ¹/₂ x² - 2 for 0 x  8

a) Complete the table below.        (1mks)

b) Using trapezium rule with 8 strips, determine the area bounded by the curve, the lines x = 0, x = 8 and the x - axis. (2mks)

c) Find the area in (b) above using the mid-ordinate rule with 4 strips (2mks)

d) Find the exact area by integration (3mks)

e) What is the percentage error in using the mid-ordinate rules? (2mks)

Triangle OPQ is such that OP = p and OQ = q. Point R divides OP in the ratio 1: 3 and point S divides PQ in the ratio 5: 2. OS and RQ meet at T.

(a) Express OS and QR in terms of p and q.    (3 mks)

(b) Given that OT = kOS, express OT in terms of k, p and q.    (1mk)

(c) (i) Given also that RT = hRQ, express OT in terms of h, p and q.   (2mks)

(ii) Find the values of h and k.      (3mks)

(iii) In what ratio does O divide TS?   (1mk)

(a) Complete the table below to 2 dp. (2mks)

(b) On the same axes, draw the graphs of y = sin(x + 30°) and y = 2 cos(x + 30°). (5mks)

(c) State the amplitude and period of each wave. (2mks)

(d) Use the graph to solve the equation 2 cos(x + 30°) = sin(x + 30°). (1mk)

A plane leaves an airport X (41.5° N, 36.4° W) at 9.00 a.m. and flies due North to airport Y on latitude 53.2° N.

(a) Calculate the distance covered by the plane in km.       (3mks)

(b) After stopping for 30 minutes to refuel at Y, the plane then flies due East to airport Z, 2500 km from Y. Find the:

 i. Position of Z                            (3mks)

ii. Time the plane lands at Z, if its speed is 500km/h. (4mks) (take = 22/7 and the radius of the earth R = 6370 km)