ACSBR 2023 3EXP Math EYE P2 Solutions

Marking Scheme and Markers’ Report Secondary 3 Express Mathematics 4052 End-of-Year Examination Paper 2 2023 Anglo-Chinese School (Barker Road) Qn Part 1 (a) S$412.476 (b) (c) Deposit = 2 (a) (b) (c) (d) (0, 7) 3 (ai) (aii) Capacity of can A = cm3 (bi) AP = BQ (mid points of sides of a square) (right angle of a square) AB = BC (sides of a square) (SAS Test)

Marking Scheme and Markers’ Report Secondary 3 Express Mathematics 4052 End-of-Year Examination Paper 2 2023 Anglo-Chinese School (Barker Road) (bii) Since , (exterior angle of triangle BQX) 4 (ai) (aii) (b) (c) 5 (ai) (angle in a semicircle) (aii) (angles in opp. segments) (aiii) (aiv) (angles in same segment) Since , BC is parallel to AE since they are alternate angles. (bi) (bii) 6 (ai) (aii) Bearing of Q from P = 20° Bearing of S from P = 20° + 41.4096° = 061.4°

Marking Scheme and Markers’ Report Secondary 3 Express Mathematics 4052 End-of-Year Examination Paper 2 2023 Anglo-Chinese School (Barker Road) (aiii) (b) 7 (a) 6.0 m3 (b) (c) Min volume at 1.2 h (di) Tangent drawn Gradient = (dii) The rate of decrease of the volume of rainwater in the open tank after 0.5 hour.

Marking Scheme and Markers’ Report Secondary 3 Express Mathematics 4052 End-of-Year Examination Paper 2 2023 Anglo-Chinese School (Barker Road) 8 (a) (b) Conversion of either 5 m/s to km/h or vice versa to compare the speeds. Yes/No, according to the speed limit indicated on either the footpath or cycling/shared path. (follow conversion working). (c) (d) Let max speed of design B be x m/s. Hence, max speed of design A be m/s. Maximum speed of Design A: 6 m/s Maximum speed of Design B: 4.5 m/s (e) Since both PMD designs adhere to the maximum speed limit imposed by LTA as shown in the infographic, it is recommended for Mr Ang to purchase design A for his ten-year old son as it is lighter and smaller.