All working must be clearly shown. 1. (a) Using a calculator, or otherwise, calculate the EXACT value of WIN + (i) giving your answer as a common fraction ( 3 marks) 0.0256 (ii) 25 giving your answer in standard form. ( 3 marks) (b) The basic wage earned by a truck driver for a 40-hour week is $560.00. (i) Calculate his hourly rate. ( 1 mark ) For overtime work, the driver is paid one and a half times the basic hourly rate. (ii) Calculate his overtime wage for 10 hours of overtime. ( 2 marks) Calculate the TOTAL wages earned by the truck driver for a 55-hour week. ( 3 marks) Total 12 marks2. (a) If a = 2, b = -3 and c = 4, evaluate (i) ab - bc ( 1 mark ) (ii) b(a - c) ( 2 marks) (b) Solve for x where x e Z: (i) - = 5 ( 3 marks) 3 (ii) 4 - x $ 13 ( 3 marks) (c) The cost of ONE muffin is $m. The cost of THREE cupcakes is $2m. (i) Write an algebraic expression in m for the cost of: a) FIVE muffins ( 1 mark ) b) SIX cupcakes ( 1 mark ) (ii) Write an equation, in terms of m, to represent the following information. The TOTAL cost of 5 muffins and 6 cupcakes is $31.50. ( 1 mark ) Total 12 marksPage 10 7. A class of 30 students counted the number of books in their bags on a certain day. The number of books in EACH bag is shown below. -LA (a) Copy and complete the frequency table for the data shown above. Number of Books (x) Tally Frequency (f) f x x 1 2 111 3 6 6 (4 marks) (b) State the modal number of books in the bags of the sample of students. (1 mark) (9) Using the table in (a) above, or otherwise, calculate (1) the TOTAL number of books (2 marks) (ii) the mean number of books per bag- (2 marks) (d) Determine the probability that a student chosen at random has LESS THAN 4 books in his/her bag (2 marks) Total 11 marks