Canberra EM 2024 Prelims Paper 1 MS

Canberra Secondary School Mathematics 4052/01 2023 Preliminary Examination Secondary 4 Express / 5 Normal Academic 4E5N Prelim Exam 2024 Maths P1- Marking Scheme 1 19 252 1 162 32 x x x −= −= =− 2 Total sum of money $900 103 $3000 = = 3 32 2 1 1 2 32 2 1 2 1 5 21 aa aa a −−− =+ −− = − 4 3, 3, 4, 5, 10 5a 5b AB  6a a = 3, b = 7 6b Since the minimum point of y is at (-2, -25), y will not have a value smaller than - 25. 7a ( )( ) 22 22 3 33 32 x y y x xy x y xy x xy y −+ = + − − = + − 7b ( ) ( )( ) 2 2 3 12 3 1 4 3 1 2 1 2 a a aa − =− = − + 8a 3.5 A B

Canberra Secondary School Mathematics 4052/01 2023 Preliminary Examination Secondary 4 Express / 5 Normal Academic 8b 2 2 2 2 4 2 24 4 4 x x x x −  =  =  = 9a ( ) 2 2 2 2 2 10 27 10 5 5 27 52 xx xx x −+ = − + − + = − + p = -5, q = 2 9b (5, 2) 10 70 2 35 ACB= = (angle at centre = twice the angle at circumference) 180 70 110 ABC = − = (angles in opposite segments) 180 110 35 35 BAC = − − = (angles sum of triangle) Since angle ACB = angle BAC, triangle ABC is an isosceles triangle. 11a 18 360 20 x x = = 11b 3 6 9 180 the angles are interior angles. 6 5 11 180 x x x x x x += =  +=  The quadrilateral is a trapezium and not a parallelogram as it has 2 parallel sides and 2 non-parallel sides. 12a 3 3 2 300 1 2400 L L V Vm = =

Canberra Secondary School Mathematics 4052/01 2023 Preliminary Examination Secondary 4 Express / 5 Normal Academic 12b ( ) 2 2 2 2 3 3 1 3003 900 Volume of pyramid 12=333 2 2 900m 1800m xy xy xy xy = =  = = = 13a 78 13b The interquartile range = 87 – 73 = 14 14a 2215 12 81 9 9cos 15 3 5 AB ABD =− = =   = = 14b 20 12 15 BC BE DA DB BC = = BC = 16 cm 15a Total population = (33.57 + 5.64) million = 39.21 million 6 7 39.21 10 3.921 10 = = 15b Population of Singapore in 2013 6 5.64 100 million105 =5.37 million (or 5370000 or 5.37 10 ) =  16a 15 15 x− 16b P(green marbles) = P(yellow marbles)

Canberra Secondary School Mathematics 4052/01 2023 Preliminary Examination Secondary 4 Express / 5 Normal Academic 1 2 51 20 2 5 x x = + = = 17a(i) 232 3 5 17a(ii) 23 2 1500 2 3 5 23 23 1 and 7 mpn HCF mn =   =   =  = = 17b 323 24 LCM = = 18a 10 km 18b 5 cm: 2.5 km 1 cm: 0.5 km 1 cm: 50000 cm 1 : 50000 18c 22 22 1 : 0.25 30 : 7.5 cm km cm km 19a 12 3Gradient 15 0 3 5 3 equation of PQ: 3 5yx −= − =  = +