2023 S4NA Prelim MA P2_MS

Name: Register Number: Class: PRESBYTERIAN HIGH SCHOOL MATHEMATICS 4045/02 PAPER 2 1 August 2023 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 PRESBYTERI AN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL PRESBYTERIAN HIGH SCHOOL 2023 SECONDARY FOUR NORMAL (ACADEMIC) PRELIMINARY EXAMINATION MARK SCHEME

Section A (62 marks) Answer all the questions in this section. 1 (a) Work out (i) 2212 ( 9) ( 6)− − − − , [1] (ii) 292.195.17 2031.0 3 + . [1] (b) (i) Write 29.951 correct to 3 significant figures. [1] (ii) Write 4.523 million to the nearest ten thousand. [1] 18.5 B1 0.0519 B1 0.00201 B1 4520000 B1 2 (a) Given that 1 3 43 81 3 m= , find the value of m. [2] (b) Simplify 7 3 9a a . [2] ( ) 1 3 4 1 34 4 31 4 3 81 3 3 3 3 3 3 3 33 4 m m m m m = = = = = M1: 481 3= A1 ( ) 1 77 2 33 1 4 2 2 99 9 3 aa aa a a = = = M1: 4a /fractional indices A1

3 (a) p is directly proportional to q3. Given that p = 24 when q = 2, find (i) the formula connecting p and q. [2] (ii) the value of q when p = 192. [1] (b) 5 men can paint a house in 6 days. The house was painted in n days. Write down an expression, in terms of n, for the number of men needed to paint the house. [2] ( ) 3 3 24 2 3 p kq k k = = = Eqn is 33pq= M1 for finding constant A1 3 3 192 3 64 3 4 q q q = = = B1 1 man takes 30 days 30 d s requir ney sae mn n M1 A1

4 (a) Find 130% of 2 litres in millilitres. [1] (b) A map is drawn to a scale of 1 : 50000. (i) The perimeter of a reservoir on the map is 22.8 cm. Find the actual perimeter, in kilometres, of