2022_CGS Sec 2 EOY Math

Name: Register No.: Class: CRESCENT GIRLS’ SCHOOL SECONDARY TWO END OF YEAR EXAMINATION 2022 MATHEMATICS 4052 11 October 2022 2 hours Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, register number and class on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use paper clips, glue or correction fluid. Answer all questions. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. Calculators should be used where appropriate. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For π, use either your calculator value or 3.142, unless the question requires the answer in terms of π. At the end of the examination, submit the whole Question Paper. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 80. This question paper consists of 20 printed pages. Question 1 2 3 4 5 6 7 8 9 Marks Question 10 11 12 13 14 15 16 17 18 Marks Table of Penalties Qn. No. Presentation –1 Significant Figures/ Units –1 Parent’s/ Guardian’s Signature For Examiner’s Use 80

2 Crescent Girls’ School 2022 EOY S2 Math Mathematical Formulae Mensuration Curved surface area of a cone = rl 2Surface area of a sphere = 4 r 21Volume of a cone = 3 rh 34Volume of a sphere = 3 r Statistics Mean = fx f  

3 Crescent Girls’ School 2022 EOY S2 Math [Turn over Answer all the questions on the question paper. 1 Expand and simplify ( )( ) 23 4 5 4 3p p p− − + . Answer …………………………….. [2] 2 Factorise 35 21 10 6ad bd ac bc− + − completely. Answer …………………………….. [2] 3 (i) Solve 73 176 x−+ − . Answer …............…................... [2] (ii) Hence, given that x is a prime number, state the greatest possible value of x . Answer x = …........................ [1]

4 Crescent Girls’ School 2022 EOY S2 Math 4 Tracy has $50. A shop sells a pack of eggs for $x each and a carton of milk for $y each. If Tracy buys 2 packs of eggs and 5 cartons of milk, she will receive $0.10 in change. If she buys 5 packs of eggs and 2 cartons of milk, she will be short of $6.50. Find the price of each item. Answer Price of one pack of eggs = $…………………………….. Price of one carton of milk = $…………………………….. [4]

5 Crescent Girls’ School 2022 EOY S2 Math [Turn over 5 (i) Factorise 223 48ab− completely. Answer …...