PHS 2022 S4NA Prelim MA P2_MS

Name: Index No.: Class: PRESBYTERIAN HIGH SCHOOL MATHEMATICS 4045/02 PAPER TWO 26 July 2022 Tuesday 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 MARK SCHEME

2 Presbyterian High School 4045/02/4NA Prelim/2022 Section A (52 marks) Answer all the questions in this section. 1 The stem-and-leaf diagram shows the weight, in kilogram, of 20 students. 4 0 1 5 7 9 9 5 0 1 1 1 4 5 9 9 6 0 3 6 6 7 1 2 Key: 4 | 0 means 40 Find (a) the number of students with weight more than 59, Answer 6 students [B1] [1] (b) the median weight. 51 54median 52.5 2 +== Answer 52.5 kg [B1] [1] 2 The amounts of flour, butter and sugar required to bake a cookie are in the ratio 3 : 2 : 1. The total weight of all three ingredients is 450 grams. Find the amount of each ingredient used. 3flour 450 2256 2butter 450 1506 1sugar 450 756 =  = =  = =  = Answer flour: 225 g [B1] butter: 150 g [B1] sugar: 75 g [B1] [3]

3 Presbyterian High School 4045/02/4NA Prelim/2022 [Turn over 3 (a) Calculate (i) the exact value of 9.3 4.62 5.7 2.1  − , Answer 11.935 [B1] [1] (ii) 23 15 2.57+ . Give your answer correct to 1 decimal place. 23 15 2.5 2.2507+= Answer 2.3 [B1] [1] (b) The table shows the number of coronavirus cases of four countries in Europe. Country Number of cases (millions) France 30.51 Germany 27.77 Russia 18.41 Italy 18.18 (Source: https://www.worldometers.info/coronavirus/) Calculate the total number of coronavirus cases of the four countries. Give your answer in standard form. 7 total number 30.51 27.77 18.41 18.18 [M 1] 94.87 million = 9.487 10 = + + + =  Answer 79.487 10 [A1] [2] 4 (a) Expand and simplify ( )( )4 1 3xx+− . ( )( ) 2 2 4 1 3 4 12 3 [M1 - 2 correct expansion] 4 11 3 x x x x x xx + − = + − − = − − Answer 24 11 3xx−− [A1] [2] (b) (i) Solve the inequality 3 74x . Answer 224 3x [B1] [1] (ii) Write down the largest integer value for x. Answer 24 [B1] [1]

4 Presbyterian High School 4045/02/4NA Prelim/2