Algebra

1 Every day practice

2 Solve each and every example of text book

3 Study all the solved examples in the text book

4 First solve group a and b with full concentration

5 D Group problems are based on but not from textbook

6 Solve as many question papers as possible

7 Questionwise time scheduling is important

8 Solve as per standard model answers available in market

9 Try to find hidden meaning of the problem if any

10 Take down given data correctly and check in before proceeding to solve question

11 Conversion of units in one system

11 In ratio proportion problems write name of the property used
e.gcomponendo

12 for variation : constant of variation, equation of variation and final answer
are to be written in boxes

13 Understand difference between factorization and quadratic equation
for factorization answer may be (x+1) (x-2) but for quadratic equation ans will be x = 2 or x = -1
Quadratic equations should be solved by the method which is expected in the question
if asked to solve by completion of square and you solve by formula method you will loose marks
first formula, then substitute values and then calculation
Solution set should be written in { }
If any of the answers is eliminated reason should be mentioned e.g. age can not be negative etc

14 In trigonometry, draw figures whenever necessary
if identities are used e.g 30-60-90 or sin2@ + cos2@ = 1 they should be mentioned as reason

15 Do not omit any step as marks are given stepwise

16 If you can not solve complete example, write steps till whatever you know

17 Write answers of word problems in complete sentenses
e.g. Length of the rectangle = x+ 4 = 3+4 = 7 cm threfore
length of rectangle = 7 cm

18 Answer should be written in a box with unit clearly at the end of the problem

19 see type of question and work accordingly eg solve / fond roots of / factorize

20 Simultaneous equations : solve using text book method, write solution set as { ( , ) }

21 Specific method of writing answer in order to secure maximum marks alloted for the question
( As per model answers )

22 Solve question paper starting from question no 1 to 6

23 for question 1 and 2 solve some extra sub questions
see that subquestins are numbered properly

24 New question should be started on new page, solve all subquestions of one question together

25 Do not solve sub questions of Question 3-6 in the beginning
Solve extra questions only if time is available

26 Use separate page for rough work

27 Do not overwrite, draw a line on wrong word/answer and write again

28 Do not waste time on one question if you can not solve it, go to next question

29 Attach all suppliments in proper order

30 Finally see that appearance of your answer paper is neat and tidy

31 Difference between factorization and quadratic equations

32 Use of correct mathematical language

33 Proper care about +, - , x, /

34 Use of proper symbols like =, x, therefore, if
therefore before equation
equal to before factorization and simplification

35 Use of correct brackets :
( , ) for coordinates
{ ( ) } for solution set
{ } for more than one value of a variable
check wheher meaning of the equation is not changed by using or not using brackets

36 Most of the times, final answer carries 1/2 to 1 mark, steps are very important

37 mention important notes and properties e.g. K is constant of variation

38 Answers of all subquestions in a question must be in boxes

39 Stop at point which is asked for e.g. if x+y is asked do not give values of x and y!

40 Perform operations on decimal fractions, vulgar fractions, +ve and -ve numbers correctly
be careful while getting cubes, cuberoots, squares and square roots
e.g. x2 = 36 therefore x = plus or minus 6 ( do not forget minus)
x2 = 36 therefore x = root 6 ( instead of root 36 root 6 is written)
multiplying both sides of equation by a value

D group questions
1 keep time factor in mind
2 Never spend more than 10 minutes for one sum
3 Q5 Gr D sums from book
4 Q6 Gr D sums outside book

Graphs
1 Draw arrow heads to both x and y axes
2 Show coordinates of points on the axes correctly
3 label axes as xx' and yy'
4 write scale at the upper right corner of the paper (bar diagram, freq polygon etc)
5 show the origin properly with 0
7 after plotting points, draw the lines with arrow heads on both ends
8 write equation of the line on the line
9 Co-ordinates of point on x axis are e.g. (4,0) and not x = 4 or 4
10 Calculate percentages properly for pie diagrams and percentage bar diagarams
11 While drawing graph, write scale, equation of the line on the graph use pointed pencil on graph paper (and not pen) and write answer on lined page should be written with pen.
12 indicate both axes with proper caption, mark point of intersection on graph paper
13 One graph paper should be used for one sum, write equation of the line as y = ….
14 In histogram, bar diagram write what is indicated by the axes in bar diagram do shading with pencil

Proofs
While giving proofs for statements follow the sequence below
1 Solve LHS first and label its last step as 1
2 Solve RHS and label its last step as 2
3 write as from statements 1 and 2
LHS = RHS is proved
4 Sometimes by solving only one side