2022 J1 RVHS H2 Math EOY Revision Package (QP) Ch1-4

H2 Mathematics (9758) JC 1 River Valley High School, Mathematics Department, 2022 End-of-Year Revision Package 1 RIVER VALLEY HIGH SCHOOL 2022 JC 1 H2 Mathematics (9758) End-of-Year Revision Package S/N Topic Page Number Questions to be submitted Dates for release Of Solution (on Google Site) 1 Inequalities & Equations 2 3, 4, 7, 8 1 Dec 2 Sequences & Series 6 2, 3, 5, 9, 10, 16, 18, 19 3 Graphing Techniques 17 3, 5, 6, 10, 12 4 Functions 25 1, 3, 4, 5 5 Differentiation and its applications 31 2, 4, 5, 8, 10, 13 15 Dec 6 Integration and its applications 38 1, 2, 5, 7, 8, 9, 12, 13 7 Differential Equations 46 1, 3, 5, 6 Remark: Please note numerical answers are found at the end of each chapter. Instructions: 1. You are advised to complete the Basic Skills questions and revisit the stated tutorial questions before you attempt the revision package . You may want to visit the RV Skill Builder (in the H2 Maths Googlesite) which curates a series of videos of important mathematical skills. 2. You are required to complete, mark your solution and do corrections before submitting your work to your JC 2 Maths tutors by 13 Jan 2023 (Friday). 3. There will be a lecture test during 2023 Week 2 or 3. The topics to be tested will be made known, after the December Term Break. You are expected to review all topics in preparation for the test.

H2 Mathematics (9758) JC 1 River Valley High School, Mathematics Department, 2022 End-of-Year Revision Package 2 1 Inequalities & Equations Basic Skills 1. Find the discriminant of the following quadratic expressions. (a) 2 1xx++ (b) 2 45xx+− (c) 2 1xx− + − (d) 22 4 3xx− − + (e) 2 5 29 x x+− (f) 2 63 xx− + + 2. Find the exact roots of the following quadratic equations. (a) 2 3 2 0xx+ + = (b) 2 2 3 0xx− − + = (c) 2 2 1 02 x x− + − = (d) 221 034xx+ − = (e) 2 1xx− + + = (f) 2 6 3 02 x x+ + = 3. Complete the square of the following quadratic expressions. (a) 2 1xx++ (b) 2 45xx+− (c) 231xx+− (d) 22 4 3xx− − + Tutorial Review Tutorial 1 Questions 4 and 7. Revision Questions 1. NYJC Promo 9758/2020/Q2 (i) The first four terms of a sequence nu are given by 1 32.1u = , 2 17u = , 3 0.7u = and 4 7.8u =− . Given that nu is a cubic polynomial in n, find nu in terms of n. [3] (ii) Find the least value of n for which nu is greater than 555. [2] 2. YIJC Promo 9758/2020/Q1 Four families, namely Chan, Lee, Tan and Wong, purchase masks, hand sanitisers and thermometers at a pharmacy. The Tan family made their purchase using a voucher, which entitled them to a 20% discount off the total amount paid. The quantity of each item purchased and the total amounts paid are shown in the following table. Masks (in boxes) Hand sanitisers Thermometers Total Amount paid Chan 4 6 5 $89.30 Lee 2 4 8