S4 2020 Maths Revision Test P1 Caltec S.4

456/1 Mathematics Paper 1 2 ½ hours CALTEC ACADEMY MAKERERE MATHEMATICS REVISION TEST PAPER 1 2 HOURS 30 MINUTES INSTRUCTIONS TO CANDIDATES Answer ALL questions in Section A and any five questions in section B. All necessary calculations must be shown. Silent, non-programmable calculators may be used. SECTION A: (40 MARKS) A bag contain x red balls and (x - 8) white balls. If the probability of drawing a red ball is ,find the number of balls in the bag. (4 marks) Given that and .Solve for the values of a and b. (4 marks) Given that , make c the subject for the formula. (4 marks) Solve for in the equation : . (4 marks) Form a quadratic equation whose solution set is (4 marks) In the figure below, QS is a diameter of the circle with targets OQ and OR from point O, if angle QSR = , find; the value of angles a and b (4 marks) A poultry farm has only chicken and goats. When the manager counted the heads of the stock in the farm, the number totaled to 200. When the number of legs was counted, the number totaled to 540. How many chickens were there on the farm? (4 marks) Find the inverse of the matrix (4 marks) The point R(4, 1) is mapped onto after an enlargement centre M with scale factor 2. Using vectors, determine the coordinates of M. (4 marks) Given that for 180o≥ ≥ 90o, without using tables or calculators find the value of (4 marks) SECTION B: (60 MARKS) The cost of manufacturing Blue in a factory is determined by the components milk x and flavor y. If the constraints for the production are and Represent the constraints above on a squared paper Given that the cost function …