STRESS FREE EXAMBOARD MASTER STROKE (HSC2019)
Subject: Mathematics
Author: Mrs.Deepashree Prasad Joshi
M.Sc, B.Ed
MATHEMATICS
Revision is important one day before the exam for Maths.
The following points are to be remembered by students. It will help to score in Maths.
Students should have notes those can be classified on the basis of the following points:
Write the theorems in exam in correct way as per textbook. Avoid different methods to prove the statement of the theorem which is not given in the textbook. Only logical correct methods will be credited by a suitable marking scheme.
If theorem is extended with an example, then write the solution of an example in detail. Do not mention it in short. Use that theorem to find out an answer.
Eg: in ‘A pair of straight line’ chapter, a theorem for an acute angle between the lines represented by ax^{2}+2hxy+by^{2}=0 is asked with an extension that ‘…. Hence find the condition for perpendicular lines.’ So, here only mentioning ‘a+b=0’ is not sufficient answer. m_{1}m_{2}=1 as lines are perpendicular .^{.}. .^{.}. a= b .^{.}.a+b=0
Topper cases may lose a mark if they do not proceed in detail.
In ‘trigonometric function’ chapter,
To prove cosine rule, use a geometrical method instead of using projection rule
(until it is asked)
In textbook, sine rule and cosine rules are proved, but student should know how to prove sine rule from cosine rule and viceversa (which is not in textbook)
Apply formulae accurately to save manual calculations. In some questions, formulae should be modified.
Memories the formulae
Note: Click to Formulae to view in enlarged
Note: Click to Formulae to view in enlarged
“every differentiable function is continuous but not conversely.” To prove this statement, you will use example x.
In new paper pattern, you are going to solve compulsory 30 questions and with options, there are 36 questions. Alternative questions are asked of the same topic. You can not skip any chapter.
Section 
No.of questions 
Internal No. of options 
Compulsory marks each 
Total marks 
Marks with options 
Question No. from 
Section A 
6 
 
1 
6 
6 
Q.1 to 6 
Section B 
8 
One 
2 
16 
18 
Q.7 to 14 
Section C 
6 
Two 
3 
18 
24 
Q.15 to 20 
Section D 
10 
Three 
4 
40 
52 
Q.21 to 30 




80 
100 

SECTIONA : (M.C.Q)
Each M.C.Q. is of 1 mark. It depends upon your basic knowledge, understanding. It may include a little bit calculation (which does not waste time).
E.g. To find order of differential equation of all circles having radius r; (instead of doing manual calculations) you should know relation between order and arbitrary constants. “In general, the number of arbitrary constants of an ordinary D.E is given by the order of the highest derivative.”
Write down answer of M.C.Q. with an option and its answer. Do not skip any one of them. Missmatching of option and answer will not carry a mark, though one of them is correct. Different answer for same M.C.Q. will not be counted correct.
It has no internal option.
SECTIONB
Each question is of 2 marks. Two main steps will carry 2 marks. Formula can b acted as 1^{st} step in some example’s students should note that one main step can be simplified into one or more substeps.
Give reasons o each new step.
e.g for simplification of logical statements, mention the logical equivalence properties.
It has 3 internal options.
Half of the weightage of question paper is in sectionD only. H.O.T.s may be included in it.
4 main steps will be credited.
Following suggestions will be needful
Applications:
Topic 
Its applications 
1. Matrix 
Solve linear equations: method of inversion method of reduction 
2. Logic 
Switching circuits 
3. Sine, Cosine, projection rule 
Area of triangle 
4. Vectors: S.T.P 
Geometrical applications to vectors & volume of the tetrahedron, Parellopiped 
5. L.P.P 
Problems related to diet transportation/ investment/ advertising firm 
6. Differentiations 
1)Tangent, Normal 2)Rate measure 3)Mean value Theorems 4)Maxima, minima 5)approximation 
7. Definite integrations 
Area under the curve 
8. Differential Equation 
Growth, decay, Newton’s law. 
At last , Note that
Write new section on new page
Do not mix answers of different sections
solutions written by pencil, though it is correct, it will not be checked.
Marks are given to each correct step Be ready with basic concepts , formulae for the questions which are application based or the questions out of textbook.
Avoid silly mistakes & remind the following points
Time  Management
Following table shows sufficient time for per question
Sections 
Marks for each question 
No.of questions 
Time per question 
Approximate time 
A 
1 
6 
2 min 
15 
B 
2 
8 
3 min 
25 
C 
3 
6 
6/7 min 
40 
D 
4 
10 
9/10 min 
90100 




180 
Try to keep at least 5 min for checking
The Writer Mrs.Deepashree Prasad Joshi M.Sc, B.Ed
Maths Tips for last minute preparation of Board Exam
Every student aims for a bright career by scoring well in board examination. With the board exam already started, there is a sudden nervousness in the atmosphere. The pressure to perform well and excel in the exam is forever lurking on the student’s head.
Wish you all the best and great success in the examination!
Mrs. Rekha Deshpande
M.Sc., M.Phil, D.H.E
Former Member of Board of Studies
Coordinater of board textbook for Mathematics
Retired after 37 of service in Garware College
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