DSE Core math 2018 分析

Paper 1

Section A1

Q1 Change subject, easy

Q2 indice, easy

Q3 round up/down/off, easy

Q4 simple probability, easy

Q5 Factorization, easy, 留意 part b 9r^2 – s^2 要再factorize, 技巧翻炒2015

Q6 inequality, easy

Q7 Percentage (cost, profit/loss, discount, selling price) 少少難, 因為冇分part a/b, 但ok的, 可能會令能力稍遜的學生失分

Q8 Circles, concept is easy, 題型新穎, 因為沒有數字, 答案 in terms of theta, 但ok的

Q9 Simultaneous equations cross over speed, 出得好, 留意分鐘和小時的單位轉換, 可能會令能力稍遜的學生失分

Section A2

Q10 Statistics (measures of dispersion)

Part a easy, part b 要試試下先會理解題目, 可能會令能力稍遜的學生失分

Q11 Statistics (mean, mode, median)

出得好, part b 係容易失分位 (但可以用不等式做的), 其餘四分穩袋

Q12 典型polynomial

Part b 的 irrational root有點tricky, 應該有部分學生在這part判斷錯誤

Q13 Plane geometry

a)      Similar triangle, past paper常客, let 某隻角係y 就可以用AA係證

b)      All easy

Q14 Mensuration

Part b use similar ratio, all easy

Section B

Q15 P&C

新題型, 但唔難

Q16 ASGS

Part a 輕鬆

Part b 少少難, 翻炒2012 and 2013 last question, 但可以接受

Q17 3D trigo

a)      Sine formula, 輕鬆

b)      (i) cosine formula, 輕鬆

(ii) 攬炒

Q18 Variation + completing square + 四心

Part a, b i easy

Part b ii 考 transformation of graph

Part c modified from 2015 Q18, 應該都ok的

Q19 **題, 一題定勝負

a)      大家都知道用delta搵tangent, 鬥爆數, 用x做subject應該做唔到, 用y做subject就會砌到, this is the biggest hurdle of this year’s paper 1

b)      (i) 做得part a 的話, 呢part冇難度, 但值得留意的係, 做唔到part a 的, 因為佢而家話左D的座標比你聽, 你係可以起死回生的………….

(ii) inscribed circle, in-centre, angle bisectors, tangent properties, not difficult actually, but 6 marks ar…….

Paper 2

Section A

Q1 indice, easy

Q2 change subject, easy

Q3 factorization, 要調位先, easy

Q4 rational function, easy

Q5 quadratic function and graph, easy

Q6 difficult straight line MC, 早左出現, 建議飛左先

Q7 function, cut and paste, easy

Q8 polynomial, easy

Q9 compound interest, easy

Q10 ratio, easy

Q11 variation, easy

Q12 simple sequence, 少少難…

Q13 compound inequality, easy

Q14 error, upper limit 減 lower limit……..

Q15 volume of prism, easy

Q16 ratio geometry, this year is easy comparatively…

Q17 difficult plane geometry 1. wow! 要用similar triangles幫手計

Q18 plane geometry 2. Wow! 要用congruent triangles幫手計

Q19 difficult plane geometry 3. wow! Wow!

Q20 difficult plane geometry 4. wow! 要用similar triangles幫手計 or trigo

Q21 wow, trigo

Q22 circle, easy comparatively..

Q23 easy, rotational symmetry

Q24 polar coordinate, need to draw graph

Q25 locus, easy

Q26 straight line, need to draw graph

Q27 equation of circle, easy

Q28 probability, you may draw table, ok easy

Q29 find mean, easy

Q30 IQR.. 少少難

Section B

Q31 transformation of graph, ok

Q32 log graph, 少少難

Q33 log straight line graph, ok

Q34 linear programming, fxxk, 要畫圖, 仲要唔易畫, crazy

Q35 ASGS, easy

Q36 sum of roots/ product of roots, ok

Q37 imaginary number, ok

Q38 trigo equation, easy

Q39 circle, angle in alt. segment, ok

Q40 4 centres, need to draw graph, 少少難

Q41 又係呢d 3D trigo, 少少難

Q42 P&C, easy

Q43 probability + GS, modified from 2014 paper 1 Q19

Q44, standard score, easy

Q45 variance, 出得有新意, ok ar