SPM Mathematics Tips

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*Sumber sites.google.com/a/jom belajar)*SPM Mathematics

In SPM, mathematics is considered as compulsory subject. You must pass this subject in order to get the certificates along with Malay language. Malay language test takes a lot of time and your hand hurts like hell after writing so many words. It’s not simple either. However, the percentage of students fail in Mathematics is higher than Malay Language in real SPM, which is ridiculous. It is told that Mathematics is quite ‘difficult’ among Art students in seminar SPM, which I can't believe my eyes either.

In my opinion, Mathematics is the easiest subject in SPM for Science students. I believe PMR students can even do with their PMR standard knowledge because some questions like volume of solid and area and perimeter of a circle being test in SPM. It’s not being taught in SPM therefore you can only depend on your past knowledge in Form 2. Although the questions are a lot easier than Add Maths, There are still some pupils having difficulties in Maths.

I see some students leave the 'haven't done' answers after they get the formulae to be applied in the questions, which they didn’t really answer the questions. Some of them don’t understand the questions’ needs. Therefore, exercises and guidance from teachers are essential for improvement.

SPM Intervention KL 2008 ,The questions are so direct and mostly the answers will less likely to appear in decimal. You need a little bit of logic compare to Add maths. Besides that, even if you do well in monthly test, you might end up tilting head during SPM examination hall. It’s because monthly tests don’t follow the real format of SPM. Like Intervention 1 for KL state this year, there's no chance in hell this question is coming out in real SPM.

Based on SPM Maths, it consists of 2 papers

Paper 1

- 1 ¼ hors

- 40 questions

- 40 marks

Paper 2

- 2 ½ hours

- working steps must be done

- Section A

= 52 marks

= 11 questions

- Section B

= 48 marks

= 5 questions (answer 4 of out 5)

Every chapter will be tested in Paper 1. The questions will be tested from Form 1 until Form 5. Since you have already mastered the some basics in PMR, these shouldn’t be a problem. Do past year objective questions will strengthen your basic.

In paper 2, there are only certain chapters that will be tested in SPM maths. That’s why I will concentrate more on paper 2. The whole paper 2 format based on past year questions in random order with brief tips below

Confirmed to be tested every year

Paper 2 (Section A)

1) Volume of solids (which was taught in form 2)

- most of the formulae given are for this question

- make sure the formulae are used correctly

- combined solid is sum of volume of the solids

- remaining solid is the subtraction of bigger solid and smaller solid

2) Angles of elevation and depression

-using trigonometry rule

3) Mathematical reasoning

- statement ‘and’ and ‘or’

- If p, then q. If q, then p.

4) Simultaneous linear equation

- equalize the same unknown and take out

Example : 4p - 2q = 15

(2p + 4q = 19) x2 (times 2 to make unknown 4p same)

- don’t use Add Math method, answers will be different.

5) The straight line

- y = mx + c

- gradient, gradient….

- What is c? c (y-intercept) is the point where the line touches the y-axis.

6) Quadratic expressions and equations

- ‘solve the equation’ is to find the unknown

- change the equation of the question into this form

- factorise by your own or using calculator

- must state x = ?, x = ?, there will be 2 answers

7) Matrices

- will mostly ask inverse matrix

- if you’re not sure about the answer, check if the whole outcome is identical to the inverse matrix in the question.

- the answer in a) is related to b)

8) Area and perimeter of circles (same as number 1)

- 2πr (perimeter or circumference) and πr2 (area)

- (angle/360 degree) x the formulae above for the area or perimeter of certain part

9) Probability

- is more of (number / total number).

- the formulae given are plain useless

- final answer is never less than 0 or more than 1, 1 > answer > 0

10) Gradient and area under a graph

- based on speed/ time graph

= distance is area of the graph

= rate of change of velocity is gradient of the graph

= speed is based on the graph (seldom being asked)

- beware of total distance and total speed

Paper 2 (Section B) Answer 4 questions

1) Graph of functions

- Linear functions (less likely to come out as it’s a straight line after plotted)

- Quadratic functions (2004 and 2005)

- Cubic functions (2007)

- Reciprocal functions (2006)

= this question is easy because you can detect the type of graph after you plot it.

= elastic ruler is recommended

= x-axis and y-axis should be stated in the graph

2) Transformation

- Translation

- Reflection

- Rotation

- Enlargement ( careful with the word ‘to’ and ‘from’ because it determines the image would be smaller or bigger)

= combination of transformation like VT

-do T before V. It's some kind of law.

3) Statistic

- Histogram ( 2004 and 2005)

= x-axis the upper boundary with an additional lower boundary at the front of the graph

= y-axis is frequency

- Frequency Polygon (2006)

= x-axis is midpoint

= y-axis is frequency

- Ogive (2007)

= x-axis is upper boundary

= y-axis is cumulative frequency

= additional upper boundary should be added to the table

= x-axis and y-axis should be stated in the graph

4) Plans and elevations

-plan is looked from above

-elevation is looked from the side of the solid

-the length and the edge (ABCD) should be stated correctly

-similar to a chapter of the living skills in PMR

5) Earth as a sphere

-latitude is vertical and longitude is horizontal of the sphere

-nautical mile

If you concentrate on these chapters and do a lot of past year questions, I’m sure getting A1 in Maths is not a matter for you. Choose the 4 questions that you’re confident in section Bpaper 2. Do all questions if you think you have much time to spend for taking a nap. Why study more if you know what kind of questions will come out?

In paper 2, there are only certain chapters that will be tested in SPM maths. That’s why I will concentrate more on paper 2. The whole paper 2 format based on past year questions in random order with brief tips below

Confirmed to be tested every year

Paper 2 (Section A)

1) Volume of solids (which was taught in form 2)

- most of the formulae given are for this question

- make sure the formulae are used correctly

- combined solid is sum of volume of the solids

- remaining solid is the subtraction of bigger solid and smaller solid

2) Angles of elevation and depression

-using trigonometry rule

3) Mathematical reasoning

- statement ‘and’ and ‘or’

- If p, then q. If q, then p.

4) Simultaneous linear equation

- equalize the same unknown and take out

Example : 4p - 2q = 15

(2p + 4q = 19) x2 (times 2 to make unknown 4p same)

- don’t use Add Math method, answers will be different.

5) The straight line

- y = mx + c

- gradient, gradient….

- What is c? c (y-intercept) is the point where the line touches the y-axis.

6) Quadratic expressions and equations

- ‘solve the equation’ is to find the unknown

- change the equation of the question into this form

- factorise by your own or using calculator

- must state x = ?, x = ?, there will be 2 answers

7) Matrices

- will mostly ask inverse matrix

- if you’re not sure about the answer, check if the whole outcome is identical to the inverse matrix in the question.

- the answer in a) is related to b)

8) Area and perimeter of circles (same as number 1)

- 2πr (perimeter or circumference) and πr2 (area)

- (angle/360 degree) x the formulae above for the area or perimeter of certain part

9) Probability

- is more of (number / total number).

- the formulae given are plain useless

- final answer is never less than 0 or more than 1, 1 > answer > 0

10) Gradient and area under a graph

- based on speed/ time graph

= distance is area of the graph

= rate of change of velocity is gradient of the graph

= speed is based on the graph (seldom being asked)

- beware of total distance and total speed

Paper 2 (Section B) Answer 4 questions

1) Graph of functions

- Linear functions (less likely to come out as it’s a straight line after plotted)

- Quadratic functions (2004 and 2005)

- Cubic functions (2007)

- Reciprocal functions (2006)

= this question is easy because you can detect the type of graph after you plot it.

= elastic ruler is recommended

= x-axis and y-axis should be stated in the graph

2) Transformation

- Translation

- Reflection

- Rotation

- Enlargement ( careful with the word ‘to’ and ‘from’ because it determines the image would be smaller or bigger)

= combination of transformation like VT

-do T before V. It's some kind of law.

3) Statistic

- Histogram ( 2004 and 2005)

= x-axis the upper boundary with an additional lower boundary at the front of the graph

= y-axis is frequency

- Frequency Polygon (2006)

= x-axis is midpoint

= y-axis is frequency

- Ogive (2007)

= x-axis is upper boundary

= y-axis is cumulative frequency

= additional upper boundary should be added to the table

= x-axis and y-axis should be stated in the graph

4) Plans and elevations

-plan is looked from above

-elevation is looked from the side of the solid

-the length and the edge (ABCD) should be stated correctly

-similar to a chapter of the living skills in PMR

5) Earth as a sphere

-latitude is vertical and longitude is horizontal of the sphere

-nautical mile

If you concentrate on these chapters and do a lot of past year questions, I’m sure getting A1 in Maths is not a matter for you. Choose the 4 questions that you’re confident in section Bpaper 2. Do all questions if you think you have much time to spend for taking a nap. Why study more if you know what kind of questions will come out?

*Additional Tips**1) You know doesn’t mean you can get correct, try to make less careless mistakes in each paper.*

2) See through the questions word by word as there will be some tricky part in the questions, especially ‘to’ and ‘from’ in enlargement.

3) Don’t be sad if you do badly in trial SPM because the odd might come to you in SPM.

4) Be sure to study smart, not study hard. Hope this helps.

2) See through the questions word by word as there will be some tricky part in the questions, especially ‘to’ and ‘from’ in enlargement.

3) Don’t be sad if you do badly in trial SPM because the odd might come to you in SPM.

4) Be sure to study smart, not study hard. Hope this helps.

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