NBSS EM 2024 Prelim P2 MS

NAVAL BASE SECONDARY SCHOOL PRELIMINARY EXAMINATION, 2024 Paper 2 Marking Scheme Page 1 of 18 Qns Solution Marking Scheme Remarks 1(a) 23 654 4 5(2 3) 620 4 10 15 120 14 120 15 14 105 7.5 xx xx xx x x x −+ =− +− =− + − =− =− + =− =− M1 A1 1(b) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 2 3 3 10 23 10 3 23 10 3 1 1 1 or or 5 3 5 3 15 5 p q q p rr pq r r qp pq r r pq p q q p q p −−  −= − −= − −−= − − − M1 A1

NAVAL BASE SECONDARY SCHOOL PRELIMINARY EXAMINATION, 2024 Paper 2 Marking Scheme Page 2 of 18 1(c) Method 1: 7 2 5 191 45 7 2 7 2 5 191 and 4 4 5 4( 1) 7 2 5(7 2) 4(5 19) 4 4 7 2 35 10 20 76 3 6 35 20 76 10 2 15 86 11515 11 862 5 or 2 15 15 xxx x x xx x x x x x x x x x x x xx x xx −++   − − ++   +  − −  + +  − −  + − − −  +        OR M1 --- 2x M1 --- 11515x A1 --- 1125 15x Deduct 1m for 2 5.73x No marks given for 115215 x

NAVAL BASE SECONDARY SCHOOL PRELIMINARY EXAMINATION, 2024 Paper 2 Marking Scheme Page 3 of 18 Method 2: 7 2 5 191 45 20( 1) 5(7 2) 4(5 19) 20 20 35 10 20 76 20 30 35 20 86 30 15 86 11 862 5 or 2 15 15 xxx x x x x x x x x x x xx −++   +  −  + +  −  + +   +      M1 M1 A1 1(d) 2 2 2 7 9 4 81 yy y +− − ( )( ) ( )( ) 2 9 1 2 9 2 9 yy yy +−= +− 1 29 y y −= − M1 --- correct numerator M1 --- correct denominator A1 [10] Deduct 1m for changing y to x: ( )( ) ( )( ) 2 9 1 1 2 9 2 9 2 9 xx x x x x +− −=+ − − 2(a)(i) First $10 000: Interest = 10000 4 0.05 $20100  = Next $20 000: Interest = 20000 4 0.95 $760100  = Total amount = $30 000 + $20 + $760 = $30 780 M1 M1 A1

NAVAL BASE SECONDARY SCHOOL PRELIMINARY EXAMINATION, 2024 Paper 2 Marking Scheme Page 4 of 18 2(a)(ii) Bank L: Total amount = 4 0.830000 1 100 + = $30 971.58 Since the total amount in Bank L > total amount of Bank H after 4 years, I disagree with Cheryl’s claim. M1 A1 A1 If 2a(i) or 2a(ii) wrong, no marks given for correct conclusion.

NAVAL BASE SECONDARY SCHOOL PRELIMINARY EXAMINATION, 2024 Paper 2 Marking Scheme Page 5 of 18 2(b)(i) Hong Kong Hotel: HK$1 = S$0.17 HK$825 = S$(825 x 0.17) = S$140.25 Guangzhou Hotel: S$1 = CNY$5.33 CNY$825 = 825$ 5.33S =S$154.78 The Hong Kong hotel charges a cheaper rate per night. OR HK$1 = S$0.17 S$1 = 1$ 0.17HK =HK$5.8823 Since S$1 can get HK$5.8823, by comparison with S$1 = CNY$5.33, CNY$ is stronger than HK$. Thus the Hong Kong hotel charges a cheaper rate per night. A1 M1 A1 2(b)(ii) Total cost = 1(4 825 0.17) (2 825 ) 5.33  +   =561 + 309.5684 = S$870.5684 870.5684 870.56 890 100 2.23%(3 8 ) 4 . k k s f −= = M2 – Total cost in SGD M1 A1 [12] 3(a)(i) 13 B1 M1 (either $140.25 o