SPM Tips: Mathematics paper
Study the chapters lined out below and you’ll find it easier to score in Mathematics.
Paper 1
1 ¼ hours
40 questions
40 marks
Paper 2
2 ½ hours
Working steps must be completed
Section A includes 11 questions with a total of 52 marks
Section B includes 5 questions with a total of 48 marks (student to answer 4 out of 5 questions)
Every chapter will be tested in Paper 1. The questions will be based on what you’ve learned in Form 1 right up till Form 5. If you’ve already mastered the basics in PMR, this shouldn’t be a problem. Practise past years’ objective questions to build on your foundation.
In Paper 2, only certain chapters will be tested in SPM. Here are some important tips:
Questions that are tested every year
Paper 2 (Section A)
Volume of solids (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
Remaning solid is the subtraction of bigger solid and smaller solid
Angles of elevation and depression
Using trigonometry rule
Mathematical reasoning
Statement ‘and’ and ‘or’
If p, then q. If q, then p.
Simultaneous linear equation
Equalise the same unknown and take out
Example: 4p-2q=15
(2p+4q=19) x2 (to make unknown 4p same)
Don’t use add math method as answers will be different
The straight line
y=mx+c
gradient, gradient...
What is c? c(y-intercept) is the point where the line touches the y-axis
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
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)
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
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
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
Can be varied each year
1) Sets (2004 and 2006)
- shading based on the questions (intersection or union)
- beware of the complement such as A’
2) Graph of functions (2005 and 2007)
- the inequalities (upper line is >, lower line is <)
- if slanted line, you can imagine it into horizontal straight line. Same concept as above.
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 (be careful with the word ‘to’ and ‘from’)
= combination of transformation like VT
- do T before V.
3) Statistic
- Histogram
= x-axis the upper boundary with an additional lower boundary at the front of the graph
= y-axis is frequency
- Frequency Polygon
= x-axis is midpoint
= y-axis is frequency
- Ogive
= 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
Good luck!
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