2024 TPSS EMATH P1 PRELIM MS

Tampines Secondary School Sec 4E/5NA/4NA OOS Math Prelim Exam Paper 1 2024 Marking Scheme Total Marks: 90 √ = follow through No. Answers Marks 1 3 8 56x−< 3 64 21.3 x x < < The largest prime number is 19 M1 A1 2 2 15ab−+ B1 3 334 ( 5) ( 5)x yx y−+ B1 for 334 ( 5) ( 5)x yx y−+ or 33(2 10 )(2 10 )x yx y−+ seen 4(a) B1 (b) 3p=− B1 5 Total number of rhinos 4 327000 1 100 = +  30388.73 30000= ≈ M1 A1

No. Answers Marks 6 90° for French --- B1 Thai and Japanese with correct angles measured --- B1 7 B1 --- perpendicular line of GH drawn. B1--- for the circle drawn passing through F, G and H and has the centre at the intersection of the two lines

No. Answers Marks 8(a) 222420 2 5 11= ×× Not all the powers of the prime factors are multiples of 3, hence 2420 is not a perfect cube. B1 B1 (b) LCM 222420 2 5 11= = ×× HCF 110 2 5 11= =×× The two numbers are 22 5 11 220×× = and 22 5 11 1210×× = B1 , B1 9(a) 11 15 1233 12 15 27 8 8 27 xy yx −   =   4 5 2 3 y x= B1 for 42y B1 for 53x (b)(i) ( 2)(4 1)yx−+ B1 , B1 (ii) ( 2)(4 1) 0yx− += 12 or 4yx= =− √ √B1 for both correct values 10(a) For the vertical bars, the area of each bar is not directly proportional to the height, hence readers might be misled that the amount spent on hotel stays in 2021 is about 4 times that in 2020 instead of only 2 times as shown by the height. [Accept other reasonable responses] B1 for misleading fact B1 for explanation of why this misleading fact cause misinterpretation. (b) The chart does not support her claim because between 2021 and 2022, the amount spent on flight increases but the amount spent on hotel stays decreases. [Accept other reasonable responses] B1

No. Answers Marks 11(a) (i) ⊂ B1 (ii) ∉ B1 (b) B1 (c)(i) 21x= B1 (ii) 21 20 74 74 21 20 21 74 20 120 119 118 120 119 118 120 119 118   × ×+× ×+× ×     111 2006= or 0.0553 Alternative Method 21 20 74 111 3120 119 118 2006  × × ×= or 0.0553 M1 for 21 20 74 120 119 118×× seen M1 for addition A1 M2 + A1 12 3, 5, 5, 7, 10 or 4 , 5, 5, 5, 11 B1 13(a) 10 : 4 : 7 B1 (b) Flour : Sugar : Butter 1500 : 500 : 1000 1500 250 6÷= 500 100 5÷= 1000 175 5÷= Maximum number of biscuits made 5 25= × 125= M1 A1

No. Answers Marks 14(a) ( ) 22 255 9 2.5 9 4xx x− += − − + ( ) 211 2.54 x=+− 11 4p= or 2.75p= B1 (b) 5 or 2.52xx= = B1 15(a) 2 45yx= −+ B1 fo