Beatty 2E P2 2022 QP with ANS

SUBJECT : Mathematics LEVEL : Sec 2 Express PAPER : 2 DURATION : 1 hour 30 minutes SETTER : DATE : 11 May 2022 CLASS : NAME : REG NO : READ THESE INSTRUCTIONS FIRST Write your name, class and index number in the spaces on 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  . 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 50. ____________________________________________________________________________ This paper consists of 13 printed pages BEATTY SECONDARY SCHOOL MID-YEAR EXAMINATION 2022 [Turn over For Examiner’s Use 50

2 1 Given that m satisfies the inequality 3 10 1 32 mm−−  , find the smallest integer value of n for which 32nm=+ . Answer n = ………………………… [3]

3 2 (a) A bakery uses 5 bags of Brand A flour to make 345 cupcakes. (i) How many bags of Brand A flour are needed to make 1104 cupcakes? Answer …………………………bags [1] (ii) A bag of Brand B flour can be used to make 23 more cupcakes than Brand A. How many fewer bags of flour is needed to make 1104 cupcakes if the bakery uses Brand B flour instead of Brand A flour? Answer …………………………bags [3] [Turn over

4 (iii) The shop owner claims that since one bag of Brand B flour can be used to make 23 more cupcakes than Brand A flour, the bakery should use Brand B flour instead of Brand A flour. Explain why the shop owner’s claim may not be true. Answer………………………………………………………………… ………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………… [1] (b) 4 workers in the bakery takes 3 hours to make 1104 cupcakes. (i) Find the time it takes to make 1104 cupcakes if the bakery hires one more worker. Give your answer in hours and minutes. Answer ……..….…h ………..…min [3]

5 (b) (ii) Write down one assumption you made in working out your answer in part (b)(i). Answer ………………………………………………………………... ………………………………………………………………………… ………………………………………………………………………… [1] 3 Simplify ( )( ) ( )( ) 22 2 2 2 2a a a a+ − − − + , leaving your answer in the expanded form. Answer …………………………… [3] [Turn over

6 4 (a) Factorise completely 221 3 42 6m m mn n+ − − . Answer ……………………………... [3] (b) Given that p and q are positive integers and 22 17pq−= , find the values of p and of q. Answer p =…………, q =………… [2]

7 (c) If 2(3 ) 90xy−= and 229 48xy+= , find the value of 3xy. Answer …………………………… [2] [Turn over

8 5 Polygon A has 12 sides. Polygon B has n sides. The sum of the interior angles of polygon A is greater than the sum of the interior angles of polygon B by 540. (a) Show that the polygon B is a nonagon, a 9-sided polygon. Answer [3] (b) Given that polygon A is a regular polygon, find the size of one exterior angle of polygon A. Answer …………………………… [2]

9 6 (a) Solve the equation 2 02 a a−= . Answer a = ………..………………….. [2] (b) Without using calculator, evaluate 2445 450 440− by using special products of algebraic expressions. Answer …………………………… [2] [Turn over

10 7. (a) The volume of a pot is x litres and the volume of a bowl is y litres. 3 pots and 2 bowls can hold 7 litres of water. Form an equation in x and y to represent this information. Answer ……………………………... [1] (b) 9 pots and 8 bowls can hold 22 litres of water. Form an equation in x and y to represent this information. Answer …………………………….. [1] (c) Solve the two equations in (a) and (b) to find the value of x and of y. Answer x = ………………………….. y = ………………………….. [3]