2021 XMS WA2 2E QP

This document consists of 7 printed pages and 1 blank page. [Turn over XINMIN SECONDARY SCHOOL SEKOLAH MENENGAH XINMIN Weighted Assessment 2 2021 CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS Secondary 2 Express Setter: Ms Low Yan Jin Vetter: Mrs Kwek Yin Sy 4048 May 2021 45 minutes Candidates answer on the Question Paper READ THESE INSTRUCTIONS FIRST Write your name, register number and class in the spaces at the top of this page. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, 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. The use of an approved scientific calculator is expected, 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  , use either your calculator value or 3.142, unless the question requires the answer in terms of  . At the end of the paper, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 30. Errors Qn No. Errors Qn No. Accuracy Simplification Brackets Units Geometry Marks Awarded Presentation Marks Penalised For Examiner’s Use 30 Parent’s/Guardian’s Signature:

2 Answer all the questions. 1 An isosceles triangle ABC has a length AB = AC = (5 2 )pq− cm and BC = (3p + q) cm. Find the perimeter of triangle ABC in terms of p and q. Answer ………………………… cm [2] 2 If 23( ) 51xy−= and xy = 21, find the value of 22xy+ . Answer ………………………[3]

3 [Turn over 3 Expand and simplify each of the following expression. (a) (3 2 )(5 )a b a b−+ Answer ………………………[2] (b) 22(2 3 ) 3x y x xy+ + − Answer ………………………[2] 4 (a) Solve the equation 22 15xx+= . Answer x = ………………………[2] (b) Hence, solve the equation 24( 1) 2( 1) 30yy− + − = . Answer y = ………………………[3]

4 5 Aqil’s father is 2x years old while Aqil is x years old now. In 5x years’ time, Aqil’s father is twice as old as him. (a) Form an equation in x and show that it reduces to 2 70xx−= . [2] (b) Solve the equation 2 70xx−= . Answer x = ………………………[2] (c) Hence, find the age of Aqil’s father now. Answer ………………………years old [1]

5 [Turn over 6 Factorise each of the following expressions completely. (a) 32 50xx− Answer ………………………[2] (b) 26 9 42yy+− Answer ………………………[2] (c) 2 5 15 6ax bx by ay− + − Answer ………………………[2]

6 7 The variable x and y are connected by the equation 22 6 3y x x= + − . Some values of x and the corresponding values of y are given in the table. x 4− 3− 2− 1− 0 1 y 5 3− p 7− 3− 5 (a) Find the value of p. Answer p = ………………………[1] (b) On the graph grid below, using a scale of 2 cm to represent 1 unit on the x-axis and 1 cm to represent 1 unit on the y-axis, draw the graph of 22 6 3y x x= + − for 41 x−   . [2]

7 [Turn over (c) Use your graph in (b) to find (i) the value of y when x = 2.5− Answer y = ………………………[1] (ii) the equation of the line of symmetry of the graph Answer ………………………[1] END OF PAPER