PHS 2022 S4NA Prelim MA P1_MS

Name: Index No.: Class: PRESBYTERIAN HIGH SCHOOL MATHEMATICS 4045/01 PAPER ONE 25 July 2022 Monday 2 hours PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL SECONDARY FOUR NORMAL (ACADEMIC) PRELIMINARY EXAMINATIONS MARK SCHEME

2 Presbyterian High School 4045/01/4NA Prelim/2022 Answer all the questions. 1 (a) 2 11.75 1.3 1 3−− Write these numbers in order of size, starting with the smallest. Answer 211 , 1.3,1.75 ,3 −− [B1] [1] (b) Express 73.4% as a fraction. 73.4 367 100 500= Answer 367 500 [B1] [1] 2 Adult Child (Ages 4 – 12) One-Day Admission Ticket $68 $58 Universal Express Pass $50 $50 (Source: www.rwsentosa.com) The table shows the cost for one-day admission ticket to Universal Studio. The Universal Express Pass can be purchased to skip the queue at participating rides and shows. Mr and Mrs Teo bought one -day admission tickets for themselves and their son (12 years old) and daughter (13 years old). They also bought Universal Express Passes for each of their two children. Calculate the total cost of the tickets. ( ) ( )cost = 68 3 58 50 2 [M1 - cost of admission tic kets/ cost of universal pass] 362  + +  = Answer $ 362 [A1] [2] 3 Solve 4 352x =− . ( ) 4 352 3 5 2 4 [M1] 15 6 4 15 10 2 3 x x x x x =− −= −= = = Answer x = 2 3 [A1] [2]

3 Presbyterian High School 4045/01/4NA Prelim/2022 [Turn over 4 The diagram shows a regular octagon ABCDEFGH. Calculate y. ( )8 2 180each int = 135 [M1 either]8 180 135 22.52y −   =  − − = =  Answer y = 22.5 [A1] [2] 5 p is inversely proportional to q2. When p = 3 when q = 2. Find the value of p when q = 10. 2 2 2 3 [M1] 2 12 12 3 or 0.122510 kp q k k p = = = == Answer p = 3 25 or 0.12 [A1] [2] 6 (a) Given that 6 30 5 5 55 v − =  , find v. ( ) 6 30 63 9 5 5 55 55 55 v v v − −− =  = = Answer v = 9 [B1] [1] (b) Given that 1 464 w= , find w. 3 3 1 464 1 4 4 44 3 w w w w − = = = =− Answer w = – 3 [B1] [1] A B C D E F G H yo

4 Presbyterian High School 4045/01/4NA Prelim/2022 7 (a) The dia