Math Exam Paper PDF

Answer ALL the questions All working must be clearly shown. 1. (a) Caleulate the exact value of ( 2 marks) (i) (5.8" + 1.02) × 2.5 24...

Answer ALL the questions All working must be clearly shown. 1. (a) Caleulate the exact value of ( 2 marks) (i) (5.8" + 1.02) × 2.5 24 ( 3 marks) (ii) 9 0 per hour for a 40-hour week. (b) A company pays its employees a basic wage of $9.5 ( 1 mark) (i Calculate the basic weekly wage for ONE employee. Overtime is paid at a rate of time and a half. works 6 hours overtime in a (iT) Calculate the overtime wage for an employee who (2 marks) certain week. ees a total of $12 084.00 in basic and In a certain week, the company paid its 30 employ overtime wages. Calculate for that week: ( 2 marks) (iii) The TOTAL paid in overtime wages oyees ( 1 mark) (iv) The TOTAL number of overtime hours worked by empl Total 11 marks 2. (a) Simplify 2x 5 expressing your answer as a single fraction. ( 2 marks) (b) Factorise completely đb + 2ab. ( 1 mark) (c) Express p as the subject of the formula ( 3 marks)  (d) The students in a class sell donuts to raise money for their school project. The donuts are sold in small and large boxes. The number of donuts in EACH lype of box is given in the table below: Type of Box Number of Donuts per Box Small box 38 112 Large box 2x + 3 The students sold & small boxes and 5 large boxes in all. (i) Write an expression in terms of x to represent the TOTAL number of donuts sold. ( 2 marks) (ii) The total number of donuts sold was 195. Calculate the number of donuts in a a) small box b) large box. ( 4 marks) Total 12 marks 3. (a) Simplify the expression 7pq x 2p q. ( 2 marks) (b) Fresh Farms Dairy sells milk in cartons in the shape of a cuboid with internal dimensions 6 cm by 4 cm by 10 cm. 10 cm Milk 4 ст 6 em (i) Calculate, in cm', the volume of milk in EACH carton. ( 2 marks) (ii) A recipe for making ice-cream requires 3 litres of milk. How many cartons of milk should be bought to make the icc-cream? ( 3 marks) (iii) One carton of milk is poured into a cylindrical cup of internal diameter 5 cm. What is the height of milk in the cup? Give your answer to 3 significant figures. [Use n = 3.14| ( 4 marks) Total 11 marks  (a) The Universal se t, U, is give U= (Whole numbers from In to as 12 ) I is a subset of U, such that H = ( Odd numbers between 4 and 12 j. (0) List the members of the set H. ( 1 mark) J is a subset of U, such that./ = (Prime numbers). (ii) List the members of the set J. ( 1 mark) (liii) Draw a Venn diagram to represent the sets U, Hand I, showing AL.L the elements in the subsets. ( 3 marks) (b) (i) Using a pencil, ruler and a pair of compasses only, construct a triangle LMN with angle LMN = 60°, MN = 9 cm and LM = 7 cm. ALL construction lines MUST be clearly shown. ( 4 marks) (ii) Measure and state the size of