S.4 Maths Revision Test P1 Caltec S.4

456/1 MATHEMATICS Paper 1 CALTEC ACADEMY MAKERERE Uganda Certificate of Education REVISION TEST 2020 MATHEMATICS Paper 1 2 hours 30 minutes INSTRUCTIONS TO CANDIDATES: Answer ALL questions in Section A and not more than FIVE from section B. Any additional question(s) answered will not be marked. All necessary calculations must be shown and should be done on the same page as the rest of the answer. Mathematical tables and graph papers are provided. Silent, non-programmable scientific calculators may be used. SECTION A (40 MARKS) Answer all questions in this section. Expand and simplify (04marks) Solve the equation (04marks) The table below shows the marks scored by 40 candidates in a physics test. Draw a histogram to represent this data. (04marks) A translation maps a point M(2,3) onto M1(-4,5) a) Determine the translation vector. b) A point B1 is the image of the point B(5,2) under the same translation. Find the coordinates of B1. (04marks) Make T the subject of the formula; (4 marks) Given that and find the matrix B. (04marks) One interior angle of a regular polygon is 150o. i. Find the number of sides of the polygon ii. Name the polygon in (i) (04marks) Use a ruler and a pair of compasses only to construct a triangle ABC in which AB =4.5 cm BC=4.0cm and angle ABC 1350 measure AC. (04marks) Find the inequality represented by the unshaded part in the diagram. (04marks) In a certain city 40% of the male are married. Two male are chosen at random in the city. Find the probability that one of them is married. (04marks) SECTION B (a) Given that find (06marks) (b) Given that find the value of (06marks) The figure below shows two intersecting circles with centres O and C. OA =10cm AC =4cm and . Find i. the …