CBSE 2010 Class X Mathematics Sample Papers
As I always say, you cannot ever get rid of mathematics. So if you don’t like mathematics, try altering your approach towards the subject or you will have to pay heavily for your mistake. It doesn’t matter if you take sciences or commerce; you will have to study mathematics in both the streams until and unless you take up arts or medical stream. The success mantra to mathematics is very simple and that is sheer hard work, nothing is difficult in mathematics, it’s just that sometimes you may need to put in more time and effort. But once you are done with the hard part of clearing your basics, rest is easy going and you just to have to revise periodically to retain everything. All the best, word hard and success is all yours.
Download CBSE 2010 Class X Mathematics Sample Papers
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CBSE Syllabus Class 10 for 2010 : Mathematics
Mathematics : CBSE syllabus class 10 for March 2010 examinations.
Course Structure
Mathematics
Class X
One Paper Time : 3 Hours Marks : 80
UNIT –MARKS
I. Number System –04
II. Algebra –20
III. Trigonometry –12
IV. Coordinate Geometry –08
V. Geometry –16
VI. Mensuration –10
VII. Statistics and Probability –10
Total Marks –80
UNIT I: NUMBER SYSTEMS
1. REAL NUMBERS (15) Periods
Euclid’s division lemma, Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results - irrationality of decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.
UNIT II : ALGEBRA
1. POLYNOMIALS (6) Periods
Zeros of a polynomial. Relationship between zeros and coefficients of a polynomial with particular reference to quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods
Pair of linear equations in two variables. Geometric representation of different possibilities of solutions/ inconsistency.
Algebraic conditions for number of solutions. Solution of pair of linear equations in two variables algebraically - by substitution, by elimination and by cross multiplication. Simple situational problems must be included. Simple problems on equations reducible to linear equations may be included.
3. QUADRATIC EQUATIONS (15) Periods
Standard form of a quadratic equation ax2 + bx + c = 0, (a 0). Solution of the quadratic equations (only real roots) by factorization and by completing the square, i.e. by using quadratic formula. Relationship between discriminant and nature of roots.
Problems related to day to day activities to be incorporated.
4. ARITHMETIC PROGRESSIONS (8) Periods
Motivation for studying AP. Derivation of standard results of finding the nth term and sum of first n terms.
UNIT III : Trigonometry
1. TRIGONOMETRIC RATIOS (12) Periods
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0o & 90o. Values (with proofs) of the trigonometric ratios of 30o, 45o & 60o. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES (16) Periods
Proof and applications of the identity sin2 A + cos2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
3. HEIGHTS AND DISTANCES (8) Periods
Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30o, 45o, 60o.
UNIT IV : COORDINATE GEOMETRY
1. LINES (In two-dimensions) (15) Periods
Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section formula (internal). Area of a triangle.
UNIT V : GEOMETRY
1. TRIANGLES (15) Periods
Definitions, examples, counter examples of similar triangles.
1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right triangle.
2. CIRCLES (8) Periods
Tangents to a circle motivated by chords drawn from points coming closer and closer and closer to the point.
1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2. (Prove) The lengths of tangents drawn from an external point to circle are equal.
3. CONSTRUCTIONS (8) Periods
1. Division of a line segment in a given ratio (internally)
2. Tangent to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.
UNIT VI : MENSURATION
1. AREAS OF PLANE FIGURES (12) Periods
Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60o, 90o & 120o only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
2. SURFACE AREAS AND VOLUMES (12) Periods
(i) Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
(ii) Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken.)
UNIT VII : STATISTICS AND PROBABILITY
1. STATISTICS (15) Periods
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
2. PROBABILITY (10) Periods
Classical definition of probability. Connection with probability as given in Class IX. Simple problems on single events, not using set notation.
INTERNAL ASSESSMENT 20 Marks
Evaluation of activities 10 Marks
Project Work 05 Marks
Continuous Evaluation 05 Marks
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316 Responses to “CBSE 2010 Class X Mathematics Sample Papers”
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Prove: (1 + cot θ + tan θ )(sin θ – cos θ) = sin2 θ cos2 θ .
sec3 θ – cosec3 θ
How many times is digit 0 written when listing all numbers from 1 to 3333.
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the diagonals of a quadrilateral ABCD intersects each other at the point O, Such that AO/BO=CO/DO.Show that ABCD is a trapezium.
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is pie a rational or irrational number.
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hi,
I WANT LATEST CBSE MATHS TUFF SAMPLE PAPER FOR CLASS 10
ABCD is a square in which sides AB and BC are produced to point P and Q respectively such that BP=CQ.Prove that DP and AQ are perpendicular to each other.
Dear Sir
When you will issue 10 class 2011 unsolved sample papers
A takes 3 hrs more than B to walk a distance of 30 km. But, if A double his speed, he is a head of b by one and half hr.. Find their original speed.
Express(1-cosA+isinA) in modulus amplitude form.
Respected sir
I will be glad I You Solve This Problem .This problem is in X class NCERT book on 6.3 exercise,14 question
Side AB and AC and median AD of a triangle ABC are respectively proportional to side PQ and PR and median PM of another Triangle PQR show that triangle ABC is similar to Triangle PQR
please solve in detail for better knowledge
thank you
make some question paper on circle
what is meant by disjunction?
If Sin4Ө/a + Cos4Ө/b = 1/a + b,
Then prove that –
Sin8Ө/a3 + Cos8Ө/b3 = 1/ (a + b)3
Define DISJUNCTION?
Solve: [2sinA-cosA]/[sinA+cosA]+[sinA+cosA]/[sinA-cosA]
the length of a string between a kite and a point on the ground is 90 metres. if the string makes an angle theta with the ground level such that tan theta=15\8. how high is the kite? assume that there is no slack in the string?
If x^a=y^b=z^c and y^2=xz , show that 2/b=1/a+1/c
x/a + y/b=(a+b) ?
x/a*a*1/a=2 ?
elimination method
i want triangle’s solution
Is 10th board paper easy ?
about linear equation in one variable
In board exam I got A2 GRADE.In maths I really like trigonometry.Iam eligible to take maths in inter
Is inter maths is hard.I would get difficulty in inter
In board exam I got A2 GRADE.In maths I really like trigonometry.Iam eligible to take maths in inter & get good marks in marks in inter
solve: 2x-y=1 , x+y=8
solve -
a) ax + by + a = 0
b) bx + ay + b =0
if the H.C.F. of 210 55 is expressible in the form of 210×5 + 55y. find y .
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i want last three years Class X CBSE board questions papers of Maths, Science and socials
according to NCERT book
TRIGONOMETRIC RATIOS OF 0 degree
AB=AC
i’e, B=H
but in a right angle tr.
B is never= H
SO HOW COME COS 0 DEGREE=1….???
the hardest question paper ?i need
Would like to see Class X CBSE board questions for last 5 yrs esp 2010. Also sample question in Maths, Science and socials
Thanks,
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I want questions on word promblems of lcm (Real Numbers)
IN wich book paper of math is comming 2011
Show that any positive odd integer is of the form 4q+1 or 4q
+3 ,where q is an integer.
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i attempted ques.19 of section B after i finished my other questions in maths paper board cbse 2010.will i get marks if my question is correct
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abe salo kabse solution mang raha hu dete kyu nahi
This is a question to all……….^_^)……
If cosec(A+b)=cotA.secB+cosecA.cosB , the find the value of
135 degree……….
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Find 2 consecutive odd positive integers, sum of whose squares is 290?
prove that h2=b2+l2 phythagoras teoram
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LEAST MARKS 4 PASIN IN MATHS
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9. How many three-digit numbers are divisible by 7
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\
for what value of x, mode of the given observation is 8? 2,3,5,8,4,5,8,x,7
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thankx
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prove the identity
(1+sinA -cosA)/(-1+sinA+cosA) = (cosecA+1)/(cosecA-1)
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@@ vaibhav : i got the answer which u asked..
its answer is 60 and 65..!!
@@@ Shivang Chopra:
ur question is very easy.. its answer is 2.!! by bpt.. it will b proved..
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ax+by=a+b
bx-ay=a-b
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A plane left 30 minutes late than its scheduled time and in order to reach the destination 1500 km away in time, it had to increase the speed by 250 km/h from the usual speed. Find its usual speed.
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NEW ADDITION U LIKE
MOEL TEST PAPER 14
PAGE NUMBER 445
SECTION -C
QUESTION NO ——18
IF SECQ =X + 1 APON 4x,,,,PROOVE THAT
SECQ + TANQ = 2x 0R 1 APON 2X
FUUUUK JAEGI PAR ANSWER NAHI NIKKEGA SALO
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ax+by=a+b
bx-ay=a-b
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I WANTS SOLUTION OF ROHIT PRACTICE SAMPLE PAPER OF MATHS
Prove that :
____1____ = 1/a + 1/b + 1/x
a+b+x
Ques. The line segment xy is parallel to side ac of triangle abc & it divides the triangle into two parts of equal areas.find the ratio ax:ab.
Where from the board maths examination comes,from NCERT text book or from any other book? My school’s maths teacher is asking me to practice from other books except NCERT maths text book.But students who have passed class 10th have advised me to practice only NCERT maths text book. I am really confused and depressed about what to do. Please ,please sort out my this confusion.Please,please,please,please………….
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the line segment xy is parallel to side ac of triangle abc & it divides the triangle into two parts of equal areas.find the ratio ax:ab.
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how we prepare our syllabus
1. In the figure PQ|| AB. Find the
length of CQ.
this is the tenth question of your sample paper two……
pls help…..i am not getting the answer…..
i will be obliged…….
thank you…!!!
If Sin4Ө/a + Cos4Ө/b = 1/a + b,
Then prove that –
Sin8Ө/a3 + Cos8Ө/b3 = 1/ (a + b)3.
i require sample papers of 2010 for all subjects which are solved
no question. i’d just like 2 say thanks. this is a really helpful site. i am scared of maths.
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sorry i mean give d details about trignometry i mean solved questions of trigniomentry in easy way
i it is possible 2 give d details about trignometry in detail so plz give it fast
cosecA-cotA=cosA+1/cosA-1