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 ………………………………………………………………... ………………………………………………………