2021 JC1 H2 Math Promo-13s

2021 H2 Math JC1 Promo Exam Paper Junior College Type 1 ANGLO-CHINESE JUNIOR COLLEGE EOY 2 ANDERSON SERANGOON JUNIOR COLLEGE EOY 3 CATHOLIC JUNIOR COLLEGE EOY 4 DUNMAN HIGH SCHOOL EOY 5 EUNOIA JUNIOR COLLEGE EOY 6 HWA CHONG INSTITUTION EOY 7 JURONG PIONEER JUNIOR COLLEGE EOY 8 NANYANG JUNIOR COLLEGE EOY 9 RAFFLES INSTITUTION EOY 10 ST ANDREW’S JUNIOR COLLEGE EOY 11 TEMASEK JUNIOR COLLEGE EOY 12 TAMPINES MERIDIAN JUNIOR COLLEGE EOY 13 VICTORIA JUNIOR COLLEGE EOY NIOR CCCCCOOOOOLLLLLLLLLLEEEEEGGGGGE E LLEGE EOY SCHOOOOOOOOOOOOOOOOOOOOOOOOOOOLLLLL EOYYYYYYYYYY UNIORRRRRRRR CCCCCCCCCCCOOOOOOOOOLLEGGGGGGGGGGGEEEEEEEEEEEEEEEEEE EEEEEEOOY A CHONNNNNNNNNNNNNNNNNNGGGGGGGGGGGGGGGG IIIIIIIIIIINNNNNNNNNNNNNNNSSSSSSSSSSSSSSSSSSTTTTTTTTTTTTTTTTTTIIIIIIIIIIIITTTTTTTTTTTTTTTUUUUUUUUUUUUUUUUUUUTTTTTTTTTTTTTTTTIIIIIIIIIIIIIIOOOOOOOOOOOOOOOOOOOOOONNNNNNNNNNNNNNNNNNNNNN JUROOOONNNNNNNNNNNNNNGGGGGGGGGGGGGGGGGG PPPPPPPPPPPPPPPPIIIIIIIIIIOOOOOOOOOOOOOOOOONNNNNNNNNNNNNNNNNEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEERRRRRRRRRRRRRRRRRRRRRRR JJJJJJJJJJJJJJJJUNNNNNNNNNNNNNNNNNNNIIIIIIIIIIIIIOOOOOOOOOOOOOOORRRRRRRRRRRRRRRRRRR CCCCCCCCCCCCCCCCCOLLLLLLLLLLEEEEEGGGGGGGGEEEEEE 8 NAAAAAAAAANNNNNNNNNNNNNNNYYYYYYYYYYYAAAAAAAAAAAAANNNNNNNNNNNNNNNNGGGGGGGGGGGG JUNNNNNNNNNNNNNNNNNNNNIIIIIIIIIOOOOOOOOOOOOOOORRRRRRRRRRRRRRRRRRR CCCCCCCCCCCCCCCCOOOOOOOOOOOOOOOOOOOLLLLLLLLEEEEEGGGGGEEEEE 9999999999999999 RRRRRRRRRRRRRRRRRRAAAAAAAAAAAAAAAAAFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFLLLLLLLLLLLLEEEEESSSSSSSSS IIIIIIIIIIINNNNNNNNNNNNNNNNSSSSSSSSSSSSSSSSTTTTTTTTTTTTTIIIIIIIIITTTTTTTTTTTTTTTTUUTTIIIIIIOOOOOONNNNN 10 SSSSSSSSSSSSSSSTTTTTTTTTTT AAAAAAAAAAAAAAAANNNNNNNNNNNNNNNNNNNDDDDDDDDDDDDDDDDDDRRRRRRRRRRRRRRRRRRRREEEEEEEEEEEEEEEEEEWWWWWWWWW’SSSSSS JJJJJUUUUUNIO TEMMMMMMMMMMMMMMMMMMASSSSSSEEEEEKKKKKK JJJJJJUN MPIN www.KiasuExamPaper.com 1

www.KiasuExamPaper.com 2

2021 ACJC H2 Maths Promo Paper Duration: 3 hrs Marks: 100 Attempt all questions. 1 State a sequence of transformations that will transform the cur ve with equation 2sin(2 )cos( )yxx D on to the curve with equation 2sin(4 3 )cos(2 )yx x DD , where D is a positive constant. [3] 2 Solve algebraically the inequality 2 3 12 x xx ! . [3] Hence solve the inequality 2 2 3 112 xx xx ! . [2] 3 A curve C has equation 22 22 41 2100 xy xx y , x \ , 8.xz Show that 2d2 d2 1 6 yx y xx y y . [2] Hence, prove that curve C does not have any stationary point. [3] 4 The diagram shows the curve f( )yx . There are two vertical asymptotes with equations 2x and 2x respectively. The curve crosses the x-axis at the point A and has a maximum turning point at B where it crosses the y-axis. The curve also has a minimum turning point at C. The coordinates of A, B and C are (, 0 )a , (0 , 1 0) and (,)pq respectively, where a, p and q are constants. Sketch the following curves and state the equations of the asym ptotes, the coordinates of the turning points and of points where the curve crosses the axes, if any. L