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Orientation of TGT (Maths) Class X
Preeti Nanda
❖ To share ❏ Course structure of Class X Mathematics (Basic and Standard) ❏ Question Paper Design as per CBSE Sample paper 2020-2021 ❏ Syllabus with deletion part ❏ Focussed Topics ❏ Sample Paper Analysis (chapter wise)
❖ Sharing of Strategies by Teachers (Participants) ❖ Tips and Tricks to achieve 100% result
Class- X Mathematics-Basic (241) and Standard (041)
COURSE STRUCTURE
Units Unit Name Marks
I NUMBER SYSTEMS 06
II ALGEBRA 20
III COORDINATE GEOMETRY 06
IV GEOMETRY 15
V TRIGONOMETRY 12
VI MENSURATION 10
VII STATISTICS & PROBABILITY 11
Total 80
Question Paper Design as per CBSE Sample Question Paper 2020-21
Class- X Mathematics-Basic (241) & Standard (041)
Max. Marks: 80 Duration:3 hours
This question paper contains two parts A and B.
Both Part A and Part B have internal choices.
Part -A
Objective Type
20(32)
1 Section- I
(Very Short Answers)
S.No. 1-16
1x16 = 16
16
Section - II
[MCQ(Case Study
Based Questions)
S.No. 17-20
1x(4*4)= 16
16
Part - B 6(12) 7(21) 3(15)
Very short Answer S.No.21-26
2 x 6 = 12
12
2 Short answer S.No.27-33
3 x 7 = 21
21
Long Answer S.No.34-36
5 x 3 = 15
15
Total 20(32) 6(12) 7(21) 3(15) 36(80)
Part – A
➢ It consists of two sections- I and II
➢ Section I has 16 questions (S. No. 1 to 16). Internal choice is provided in 5
questions.
➢ Section II has four case study-based questions (S. No. 17 to 20). Each case
study has 5 case-based sub-parts. An examinee is to attempt any 4 out of 5
sub-parts.
Part – B
❏ Question No 21 to 26 are Very short answer Type questions of 2 mark each,
Question No 27 to 33 are Short Answer Type questions of 3 marks each and
Question No 34 to 36 are Long Answer Type questions of 5 marks each.
❏ Internal choice is provided in 2 questions of 2 marks, 2 questions of 3
marks and 1 question of 5 marks.
Syllabus & Focussed Topics of Maths (2020-2021)
Unit 1: Number System ( 6 Marks)
Chapter 1 : Real Numbers
❏ Fundamental Theorem of Arithmetic – statements after reviewing work
done earlier and after illustrating and motivating through examples,
❏ Proofs of irrationality of √2, √3, √5.
❏ Decimal representation of rational numbers in terms of terminating / non-
terminating recurring decimals.
Deletion: Ex-1.1(Euclid Division Lemma)
Focussed topics (6 Marks)
➢ HCF x LCM = Product of numbers
➢ √2, √3 , √5---- irrational
➢ Terminating and non terminating
Unit 2: Algebra (20 Marks)
Chapter 2 : Polynomials
❏ Zeros of a polynomial.
❏ Relationship between zeros and coefficients of quadratic polynomials.
Deletion: Ex- 2.3(Problems based on Division Algorithm)
Chapter 3: Pair of Linear Equations in Two Variables
❏ Pair of linear equations in two variables and graphical method of their solution,
consistency/inconsistency. Algebraic conditions for number of solutions. ❏ Solutions of a pair of linear equations in two variables algebraically – by substitution and
by elimination method.
❏ Simple situational problems. Simple problems on equations reducible to linear equations.
Deletion: Cross multiplication method
Chapter 4: Quadratic Equations
❏ Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠0).
❏ Solutions of quadratic equations (only real roots) by factorization and by
using quadratic formula.
❏ Relationship between discriminant and nature of roots.
Deletion: Problem sums based on reducible forms
Chapter 5: Arithmetic Progressions
❏ Derivation of the nth term and sum of the first n terms of A.P.
Deletion: Ex - 5.3, Q -15 to 20 Example - 16 Ex - 5.4, Q - 3, 4 and 5 (Problem
sums based on sum of n terms of an AP)
Focussed Topic (10 Marks)
Chapter 2
➢ Relationship between Zeroes and Coefficients of a Polynomial ➢ Find the quadratic polynomial when sum and product is given
Chapter 3
➢ Graphically representation of pair of linear equation ➢ Condition of system of linear pair of equations for parallel lines coincident lines and unique solution
Chapter 4
➢ Find the roots using quadratic formula discriminant ➢ Nature of roots using discriminant.
Chapter 5
➢ nth Term of an AP ➢ Sum of First n Terms of an AP
Unit 3 Coordinate Geometry (6 Marks) Chapter 7: Coordinate Geometry
❏ Geometry Lines (In two-dimensions) ❏ Review: Concepts of coordinate geometry, graphs of linear equations. ❏ Distance formula. ❏ Section formula (internal division).
Deletion: Ex - 7.3 Examples - 11 to 15 Ex - 7.4 , Q - 5,6 and 7 (Area of triangle)
Focussed Topics (6 Marks)
➢ Distance formulas and also draw the figure. ➢ Practice for various types of quadrilateral. ➢ Mid point ➢ Use section formula to find the K.
Unit 4 Geometry (15 Marks)
Chapter 6: Triangles
❏ Definitions, examples, counter examples of similar triangles. ❏ (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. ❏ (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the
third side. ❏ (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides
are proportional and the triangles are similar. ❏ (Motivate) If the corresponding sides of two triangles are proportional, their corresponding
angles are equal and the two triangles are similar. ❏ (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. ❏ (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.
❏ (Prove) In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Deletion : Proofs of Theorems 6.6 and 6.9
Chapter 10: Circles
❏ Tangent to a circle at point of contact ❏ (Prove) The tangent at any point of a circle is perpendicular to the radius through the
point of contact. ❏ (Prove) The lengths of tangents drawn from an external point to a circle are equal.
No deletion
Chapter 11: Constructions
❏ Division of a line segment in a given ratio (internally). ❏ Tangents to a circle from a point outside it.
Deletion : Ex - 11.1, Q -2 to 7 (Construction of similar triangles) Examples- 1 and 2
Focussed Topics ( 5 Marks)
➢ Constructions
Unit 5 Trigonometry (12 Marks)
Chapter 8: Introduction to Trigonometry
❏ Trigonometric ratios of an acute angle of a right-angled triangle. ❏ Proof of their existence (well defined). ❏ Values of the trigonometric ratios of 30° , 45° and 60° . Relationships between the
ratios. ❏ Proof and applications of the identity sin²A + cos²A = 1. Only simple identities to be
given.
Deletion: Derivation of 0°and 90° Ex -8.3 (complementary angles) Examples-9,10 and 11
Chapter 9: Applications of Trigonometry Heights and distances
❏ Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles.
❏ Angles of elevation / depression should be only 30° , 45° , 60°
No deletion
Unit 6 Mensuration (10 Marks)
Chapter 12: Area Related to Circles
❏ 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 and 90º only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
Deletion: Example 3 Ex - 12.2 Q -7 (Central angle 120°)
Chapter 13: Surface Areas and Volumes
❏ Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders / cones.
❏ Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids are taken.)
Deletion: Examples - 12,13 and 14 Ex - 13.4 Ex - 13.5, Q - 5,6 and 7 (Frustum of cone)
Focussed topics
Trigonometry
➢ Make them learn tables for trigonometric ratios of some specific
angles.
➢ Practice of figures in application of trigonometry.
Area related to circles
➢ Formulas related to the topic
Surface area and volume
➢ Formulas of volume and surface area
Unit 7 Statistics & Probability (11 Marks)
Chapter 14: Statistics
❏ Mean, median and mode of grouped data
Deletion: Step Deviation Method Ex - 14.4 (Cumulative Frequency Curve) Example - 9
Chapter 15 Probability
❏ Classical definition of probability. ❏ Simple problems on finding the probability of an event.
No deletion
Focussed Topics (11 Marks)
➢ Applications of formulas of Mean, Mode, Median ➢ Questions from Real life like playing cards, dice, coin, words, balls in a bag, calendar, and
types of numbers.
Sample Paper Analysis
Chapter 1 Real Numbers
Practice Paper 1 (6) Practice Paper 2 (3) Practice Paper 3 (6)
1. HCF of co-prime numbers is
always__________. (1)
3. After how many decimal
places will the decimal
expansion of the number
47/2³×5²
terminates? (1)
OR
Given that HCF (336,54) is 6,
find LCM (336,54).
5. Express 234 as the product
of primes. (1)
29. Prove that √2 is an
irrational number.(3)
1. Find the largest number which
on dividing 70 and 125 leaves
remainders 5 and 8 respectively
OR
The decimal representation of 17/
2³×5 will terminate after how
many places? (1)
24. Prove that 5 –3/7√3 is an
irrational number. (2)
OR
On a morning walk, three
persons step off together and
their steps measure 40cm, 42 cm
and 45 cm respectively. At what
minimum distance each should
walk so that each can cover the
same distance in complete steps.
20. Case study (4)
21. Find the value of d if HCF
of 759 and 44 is 2d-13. (2)
Chapter 2 Polynomials
Practice Paper 1 (5) Practice paper 2 (1) Practice Paper 3 (2)
2. Write a quadratic
polynomial the sum of whose
zeroes is -3 and product is -10.
(1)
20. Case Study (4)
3. If one zero of quadratic
polynomial x²+3x+k is 2, then find
the value of k.
OR
Write the quadratic polynomial,
the sum of whose zeroes is –5
and their product is 6. (1)
1. The zeroes of a polynomial
p(x) are x-coordinates of those
points where the graph of
y=p(x) intersects _______.
(1)
3. How many polynomials can
be formed with –2 and 5 as
zeroes?(1)
Chapter 3 Linear equations in two variables
Practice Paper 1 (5) Practice Paper 2 (7) Practice Paper 3 (7)
7. A pair of linear equations of
two variables has unique
solution. What type of lines will
its graph represent?(1)
OR
For 3x – 7y = 10, Express y in
terms of x.
8. On comparing the ratios of
the coefficients, find out whether
the pair of linear equation
x− 2y = 0 and 3x+4y-20=0
is consistent or inconsistent .(1)
28. Sunita has some notes of
Rs.50 and Rs.100 amounting to a
total of Rs.15,500. If the total
number of notes is 200, then find
how many notes of Rs. 50 and
Rs.100 each she has? (3)
8. On comparing the ratios of the
coefficients, find out whether the pair
of linear equations 3x-6y=0 and
9x+10y-20=0 is consistent or
inconsistent.(1)
OR
What is the condition that the pair of
linear equations ax + by +c = 0 and Ax
+ By + C = 0 is consistent?
9. Two lines are parallel. If the equation
of one of these lines is 4x + 3y = 14,
then find the equation of the second
line.(1)
36. A part of monthly hostel charges is
fixed and the remaining depends on
the number of days one has taken food
in the mess. When Swati takes food for
20 days she has to pay Rs 3000 as
hostel charges whereas Mansi who
takes food for 25 days has to pay Rs
3500 as hostel charges. Find the fixed
charges and the cost of food per day(5)
4. What kind of lines are
represented by the following pair
of equations : (1)
6x – 3 y + 10 = 0
2x – y + 9 = 0
9.The pair of equations x + y – 4
= 0 and 2x + ky = 3 has no
solution, find the value of k.(1)
35. 8 women and 12 men can
together finish a work in 10 days,
while 6 women and 8 men can
finish it in 14 days. Find the time
taken by 1 woman alone to finish
the work and also that taken by 1
man alone. (5)
Chapter 4 Quadratic Equations
Practice Paper 1 (3) Practice paper 2(7) Practice paper 3 (7)
33. A train travelling a
distance of 360 km at a
uniform speed would have
taken 48 minutes less to
travel the same distance if its
speed were 5km/hour more.
Find the original speed of the
train.(3)
OR
Find the roots of the following
equation: 1/x+4 -1/x-7=11/30,
x≠-4,7
2. Does equation x² +x –5= 0 has
distinct real roots?(1)
OR
Show that the sum of roots of
quadratic equation –x²+ 3x – 3 =
0 is 3.
7. Find the value of b for which
the roots of the equation 9x²– bx
+ 81 will be equal.(1)
25. The sum of squares of two
consecutive positive integers is
145. Find the integers. (2)
30. Write all the values of p for
which the quadratic equation x² +
px + 16=0 has equal roots. Also
find roots of the equation so
obtained(3)
5. Is the equation (√2 x+√3)² + x²
= 3x² – 5x quadratic ? Justify(1)
13. Find the roots of the
quadratic equation x²– 0.04 = 0.
(1)
22. Determine the nature of
roots of quadratic equation x² –
5x – 7 = 0 . (2)
32. Three consecutive positive
integers are such that the sum
of square of second integer and
the product of first and third
integer is 49. Find the
integers.(3)
OR
Find the roots of x-1/x+2 + x-3/x-
2= 11/8
Chapter 5 A.P
Practice Paper 1(7) Practice Paper 2(1) Practice Paper 3(4)
26. How many terms of the AP
24,21,18…… must be taken so
that their sum is 78?(2)
35. Find the number of terms in
an A.P. 18,15,12,……., – 48 and
also find the sum of all of its
terms.(5)
10. If 7 times the 7th term of an
A.P. is equal to 11 times its
11th term, then find its18th
term (1)
6. Find the 30th term of the
A.P., 10, 7, 4……. (1)
30. The sum of the three digits
of a positive integer is 15 and
these digits are in AP. The
number obtained by reversing
the digits is 396 less than the
original number. Find the
number.(3) Mix linear and AP
Chapter 6 Triangles
Practice Paper 1(7) Practice Paper 2 (4) Practice paper 3(5)
13. State the Pythagoras
Theorem.(1)
OR
If ∆ABC ∼ ∆ DEF and ∠A= 45° ,
∠C = 55° , then find ∠E.
17. Case Study (4)
22. Question based on thales
Theorem (2)
4. In triangles △DEF and △PQR,
if ∠D = ∠Q and ∠R = ∠E, then is
it true that DE/PQ = FE/RP ?
Justify (1)
29. Thales theorem (choice) (3)
11. In ABC the points D and E
are on the sides CA and CB
respectively such that DEII AB,
AD = 2x, DC = x+3, BE = 2x– 1
and CE = x . Then the value of x
is _______.(1)
15. DEF is an equilateral
triangle where DM⊥EF. Find the
value of DM²(1)
29. ABC is an isosceles triangle
right angled at C. Prove that
AB² = 2AC².
OR
State and Prove Pythagoras
Theorem. (3)
Chapter 7 Coordinate Geometry
Practice Paper 1(6) Practice Paper 2 (2) Practice Paper 3(6)
18. Case Study (4)
21. Find the value of a if the
distance between the points
A(-3, -14) and B (a, -5) is 9
units.(2)
OR
Find a relation between x and y
such that the point (x, y) is
equidistant from the point (3,6)
and (-3,4).
26. Show that the points A(0,
0), B(3, 0), C(4, 1) and D(1,1)
form a parallelogram. (2)
17. Case Study (4)
23. If (4, p) and (1, 0) are end
points of the diameter of a
circle of length 10cm, find the
coordinates of centre of the
circle. (2)
Chapter 8 Trigonometry
Practice paper 1(7) Practice Paper 2 (7) Practice paper 3(2)
10.Height of tower (1)
15. If sin ɵ = 12/13 , then find
cos ɵ. (1)
25. If cos A = 7/25 , find the
value of tan A + cot A(2)
OR
If 5 = secθ and 5/x = tanθ ,
then find the value of 5 (x² −
1/x² )
.
32. Prove that (3)
cos θ-sin θ+1 = cosec θ+cot θ
cos θ +sin θ +1
11. The value of (tan1° tan2°
……………. tan88° tan89° ) is
___________.(1)
13. If k + 1 = sec² A (1 + sinA)(1–
sinA), then find the value of k.(1)
23. Write all other trigonometric
ratios in terms of Sec A .(2)
OR
Evaluate : sin30°+tan45°-
cosec60°
sec30°+cos60°+cot45°
32. Prove that: sinθ(1+tanθ) +
cosθ(1+cotθ)= secθ+cosecθ (3)
12. Find the value of sin² 60° +2
tan 45°– cos² 30°
OR
If x = 2 sin²A and y = 2 cos²A +
1, then find the value of x + y.
(1)
26. If x= sec Ө and y= b tan Ө
then show that b² x²- a²y² = a²b²
OR
Find the value of θ if sinθ -
√3cosθ = 0, 0 < θ < 90° (2)
Chapter 9 Application Of Trigonometry
Practice Paper 1 (5) Practice Paper 2 (5) Practice paper 3(9)
34. A statue which is x m tall stands
on the top of 100m long pedestal on
the ground. From a point on the
ground, the angle of elevation of the
top of the statue is 60° and from the
same point, the angle of elevation of
the top of the pedestal is 45° . Find
the height of the statue.
OR
Two poles of equal heights are
standing opposite to each other on
either side of the road, which is
100m wide. The angles of elevation
of the top of the poles, from a point
between them on the road are
30°and 60° , respectively. Find the
height of the poles and the
distances of the point from the
poles. (See in figure) (5)
35. The angle of elevation of
the top B of a tower AB from a
point X on the ground is 60° .
At a point Y, 40m vertically
above X, the angle of elevation
of the top of the tower is 45° .
Find the height of the tower AB
and distance XB. (5)
18. Case Study (4)
36. From the top of a vertical tower,
the angles of depression of two
cars, in the same straight line with
the base of the tower, at an instant
are found to be 30° and 45° . If the
cars are 83 m apart and on the same
side of the tower, find the height of
the tower. (5)
OR
Two poles AB and PQ of same
height 35 m are standing opposite
each other on either side of the
road. The angles of elevation of the
top of the poles, from a point C
between them on the road, are 60°
and 30° respectively. Find the
distance between the poles.
Chapter 10 Circle
Practice Paper 1 (5) Practice Paper 2 (10) Practice Paper 3 (3)
23. The sides a, b, c of a right
triangle, where c is the
hypotenuse, are
circumscribing a circle. Prove
that the radius r of the circle is
given by r =a+b-c
2 (2)
27. In the figure two tangents
TP and TQ are drawn to a circle
with centre O from an external
point P. Prove that ∠PTQ=2
∠OPQ. (3)
5. At one end A of diameter AB of a
circle of radius 5 cm, tangent XAY is
drawn to the circle. Find the length of
the chord CD which is at a distance 8
cm from A and parallel to XY. (1)
12. If the angle between two tangents
drawn from an external point P to a
circle of radius r and centre O is 60° ,
then find the length of OP. (1)
22. Two concentric circles are of radii 5
cm and 3 cm. Find the length of the
chord of the larger circle which touches
the smaller circle.(2)
31. From a point P which is at a
distance of 13cm from the centre O of a
circle of radius 5cm, the pair of
tangents PQ and PR to the circle are
drawn. Find the area of the quadrilateral
PROQ. (3)
33. Prove that the tangents drawn at the
ends of a diameter of a circle are
parallel. (3)
10. In the given figure, if
∠AOB= 125° , then find ∠COD
OR
In figure, O is the centre of a
circle. PT and PQ are tangents
to the circle from an external
point P. If ∠TPQ = 70° , then
find ∠TRQ..(1)
25. A quadrilateral ABCD is
drawn to circumscribe a circle.
Prove that AB + CD = AD + BC .
OR
In the figure MN and MP are
tangents to a circle with centre
O. Find the length of the chord
PN if MN= 4.5 cm. (2)
Chapter 11 Construction
Practice Paper 1 (3) Practice Paper 2 (2) Practice Paper 3 (6)
12. If a line segment AB is to be
divided in the ratio 5:8
internally, we draw a ray AX
such that ∠BAX is an acute
angle. What will be the
minimum number of points to
be located at equal distances
on ray AX? (1)
24. Draw a line segment of
length 7.6 cm and divide it
internally in the ratio 3:2.
Measure the two parts. (2)
21. Draw a pair of tangents to a
circle of radius 5 cm which are
inclined to each other at an
angle of 60°. (2)
16. A line segment AB is to be
divided in the ratio 2:3 then ray
AX will be drawn such that
∠BAX is ______ angle.(1)
24. AB is a line segment of
length 8 cm. Locate a point C
on AB such that AC = " CB.(2)
31. Draw a pair of tangents to a
circle of radius 4 cm which are
inclined to each other at an
angle of 45° (3)
Chapter 12 Area Related To Circles
Practice Paper 1 (3) Practice Paper 2 (6) Practice Paper 3 (5)
4. The diameter of a wheel is
1.54 m. How far will it travel in
200 revolutions? (1)
6. Find the area of a quadrant
of a circle with radius 14 cm.
(1)
16. A pendulum swings
through an angle of 30° and
describes an arc 17.6 cm in
length. Find the length of
pendulum.
OR
Find the area of a sector of a
circle with the radius 6 cm if
angle of the sector is 60° . (1)
6. Find the area of a sector of
angle p ( in degrees) of a circle
of radius R. (1)
15. A steel wire when bent in
the form of a square encloses
an area of 121cm² . If the same
wire is bent in the form of a
circle, then find the
circumference of the circle.(1)
19. Case Study (4)
7. A circle is divided into 12
equal sectors. Find the central
angle of each sector.(1)
8.If the circumference of a
circle and the perimeter of a
square are equal, then find the
relation between area of circle
and area of square. (1)
27. The length of the minute
hand of a clock is 14 cm. Find
the area swept by the minute
hand in 5 minutes. (3)
Chapter 13 Surface Area and Volume Practice Paper 1 (7)
Practice Paper 2 (13)
Practice Paper 3 (6)
19. Case Study (4)
31. A well of diameter 3m is
dug 14m deep. The earth taken
out of it has been spread
evenly all-around it in the
shape of a circular ring of
width 4m to form a
embankment. Find the height
of the embankment. (3)
14. A cylinder, cone and a hemisphere have
the same base and same height. Find the
ratio of their volumes (1)
17. Case study (4)
27. Books dealing with cleanliness have to
be stacked up in such a way that all books
are stored topic wise and the height of a
stack is the same. The number of books on
cleanliness of nails is 96, the number of
books on cleanliness of face is 240 and the
number of books on cleanliness of hands is
336. Assuming that the books are of the
same thickness, determine the number of
books in each stack (3).
34. A solid is in the form of a cylinder with
hemispherical ends. The total height of the
solid is 20 cm and diameter of the cylinder
is 7 cm. Find the total volume of the solid
(5)
14. The curved surface area of a cylinder
is 264 m² and its volume is 924 m³ . Find
the ratio of its height to its diameter. (1)
OR
A solid ball gets exactly filled in the
cubical box of side b. Find the volume of
the ball.
34. A vessel is in the form of a hollow
hemisphere mounted by a hollow
cylinder. The diameter of the hemisphere
is 14cm and the total height of the vessel
is 13cm. Find the inner surface area of
the vessel. (5)
Chapter 14 Statistics
Practice Paper 1 (6) Practice Paper 2 (7) Practice Paper 3 (10)
11. The median of the given
data with the observations in
ascending order is 27.5. Find
the value of x. (1)
24, 25 , 26, x+2, x+3, 30, 33, 37
36. Find the missing
frequencies f1 and f2 if the
mean of 50 observations given
below is 38.2
Table Given (5).
18. Case Study (4)
28. Find the mean of children
per family from the data given
below
Table given (3)
19. Case Study (4)
28. The mean of the following
data is 25.2. Find the missing
value k (3)
33. Find the median weight of
the 30 students as per the
distribution given below. (3)
Chapter 15 Probability
Practice Paper 1 (5) Practice Paper 2 (5) Practice Paper 3 (1)
9. Probability of happening of an event is
3/7 . What will be the probability of not
happening of that event? (1)
14. A bag contains 6 red balls and 5 blue
balls. One ball is drawn at random. What is
the probability of getting a blue ball?
OR
A die is thrown once. What is the
probability of getting an odd number? (1)
30. 90 cards numbered from 1 to 90 are
placed in a box. If one card is drawn at
random from the box find the probability
that it is: (i) a two-digit number (ii) a perfect
square (iii) a number divisible by 5.
OR
Red queen and a black jack are removed
from a pack of 52 playing cards. Find the
probability that the card drawn from the
remaining cards is: (i) a red card (ii) neither
a jack nor a king (iii) either a king or a
queen. (3)
16. The probability expressed
as a percentage of a particular
occurrence can never be less
than 0.Is it true or false?
Justify.
OR
A dice is thrown once at
random. What is the
probability of getting a 6? (1)
20. Case study (4)
2. A pair of dice is thrown, find
the probability of getting a
sum of four.
OR
A number is chosen at
random from the numbers –
3,–2,–1,0,1,2,3. What will be the
probability that the square of
this number is less than or
equal to 1. (1)
Strategies by Teachers
Identifying
and
Categorizing
20-33%
10-20% Below
10%
Child Specific
Student’s Name Class Sub topic Day1 Day2 and so on
Must attempt all questions
What is given
What to find
Formula
Questions
Pre & Post test after every
focussed topic
Forming Study Groups
Encourage students to make their
own plans and schedule
