Download Class 11 sequence and series and more Exercises Mathematics in PDF only on Docsity!
Trainer Plus
TM Trainer Plus
TM^ We can find challenges in every sphere of our lives. Be it finding the best route to a cinema hall on traffic packed roads or choosing the right item in a super market. How best are we equipped to deal with challenges is the question? Reasoning Ability is a systematic process of thinking where a problem or plan is analysed from various angles in its most practical sense. Hence yields better decisions and better conclusions. That’s why every student’s Reasoning Ability is tested in almost every competitive exam today. The process of learning is dependent on one’s ability to think logically and reason quickly and effectively. These two factors are hence very crucial to a child’s progress in education.
Reasoning and logic skills are an integral part of a wide range of subjects such as Math, Science, Design and Technology, etc. These skills are also vital in our day to day lives.
This critically important ability of reasoning should be seeded and nurtured in the minds of the students in their budding stage itself. Once the seed of reasoning sprouts in the young minds, the way they see the world entirely changes. Life itself looks like an exciting puzzle to be solved.
THIS BOOK IS VERY USEFUL RESOURCE FOR VARIOUS CYBER OLYMPIAD EXAMS
Trainer Plus
TM (^) TM
Must for all Science & Maths Talent Exams & Olympiads
Talent & Olympiad Exams
Resource Book
For online payment visit our website www.bmatalent.com
n s st e Test Assess Achieve
- Excellent source of important concepts and objective questions for Mathematics and Science Olympiads / NTSE / NSTSE / UIMO / Scholarship Tests and other International, National and State competitive examinations.
- Synopsis of each chapter with hints, solutions and explanations for complicated concepts, separate book for each class.
- Exhaustive range of skill, reasoning and application based questions.
` 80
140 140
Class Maths `
`
1 2 3 140 140
140 140
140 140
4 5 6 7 8 9 10 140 140
165 165
165 165
165 165
165 165
165 Science 165
150
Class Price `
1 2 3 125 125 150
4 5 6 7 8 9 10 150 150 150 150 150 150 Solution
9
online payment facility is available at www.bmatalent.com
This ‘Mock Test 20-20 series’ provides
students, the rigorous practice they need to
prepare for any
Regional/National/International Olympiad.
Every book in this series contains 20 test
papers, each of 20 questions.
This readies the students for confidently
tackling different types of questions and
prepares them adequately.
Olympiad Mock Test - 20-20 Series
Maths & Science (Useful for Class 1 to 10)
Price : ` 100 for each book
Brain Mapping Academy
E =mc^2
Practice More - Score More
FOUNDATION &OLYMPIAD
Class 6 7 8 9 10 Combo pack 550 550 795 795 795
NEET Foundation Explorer (For Classes 6 to 10)
n A perfect companion for NEET Foundation
n An overall preparation for all national and international competitive talent exams and olympiads
n Simple, Clear and Systematic presentation n Set of objective and subjective questions at the end of every chapter
Each book ` 115
For classes 1 to 10 For classes 3 to 10 For classes 2 to 8
Each volume ` 175
AWESOME ENGLISH
A
E
I
U
O
Vol. 1 & 2
Each book ` 150
Attention NSTSE applicants!
Set of 10 Past Question Papers of NSTSE
(For Classes 1 to 12) n This gives you the ‘feel’ of actual NSTSE. n Price of each set per class is Rs. 399 Available in E-Book format at www.bmatalent.com
NATIONAL LEVEL SCIENCETALENT SEARCH EXAMINATION
For a real-time experience
and hands-on practice,
get today,
your downloadable copy of
STAR-OP is a downloadable test series of 10 papers released over 10 weeks. Level and pattern of these papers is similar to question papers of NSTSE conducted by Unified Council. This programme thus will provide sufficient practice and hone your skills in a particular direction – that of success.
STAR-OP is an innovative and structured programme to nurture ‘Olympiad aptitude’ of students, for scoring great in NSTSE. It is a great tool to get a ‘hands-on experience’ multiple times, before the actual exam.
p 10 Practice Test Papers, similar to the actual NSTSE ,
STAR-OP will provide the following for each class :
p 10 Detailed Solutions for the practice test papers.
p A link for downloading OMR answer sheet (similar to the OMR answer sheet provided in the examination hall) for every test paper,
This programme is available for classes 1 to 10. Visit www.bmatalent.com for more details.
STAR-OPSTAR-OP
S tructured T raining for A ptitude R einforcement – O lympiad Programme
n s st e
Test Assess Achieve
Price
`^^799
(for each class)
STAR – OP for NSTSE
STAR-OP offers the following (all in PDF)
Use code ‘STAR20' to avail 20% discount.
Price : ` 300
CLASS : 9 OLYMPIAD POWER PACK
- Unified Council
- Maths 03 - CONTENTS
- Physics 09 -
- Chemistry 11 -
- Biology 13 -
- Question Paper 1 16 -
- Question Paper 2 31 -
- Key & Solutions 46 -
OLYMPIAD POWER PACK CLASS : 9
Mathematics
Crossword - 1 (Number Systems)
ACROSS 1 The process of removing a root from the denominator of a fraction. 3 Using this theorem we can represent the irrational numbers on the number line. 7 The least whole number. 9 How many numbers from 10 to 50 are exactly divisible by 3. 10 A whole number, a number that is not a fraction. 11 A number that produces a specified quantity when multiplied by itself.
DOWN 1 One or pair of numbers whose product is one. 2 What type of a number is 4 It is also an irrational number. 5 Alter to one less exact but more convenient for calculations. 6 Zero by zero. 8 The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by what number.
1 2
3 4 5 6 7 8 9
10
11
OLYMPIAD POWER PACK CLASS : 9
Crossword - 3 (Coordinate Geometry & Elementary Geometry)
ACROSS
2 The signs of abscissa and ordinate in quadrants I and III. 8 To which country did Euclid belong. 9 Important mathematical statements which can be proven by postulates and definations. 10 Has length and breadth only. 11 Facts that help you to reach a conclusion. 12 Breadth less length.
DOWN
1 Can be drawn with any center and radius. 3 Assumptions which are obvious universal truths and are not to be proved. 4 Rule that is accepted without proof. 5 Sequence of justified conclusions used to prove the validity of an if - then statement. 6 When you reach a conclusion from a set of accepted facts. 7 Y-axis.
1
2 3
4 5 6
7 8
9
10
11
12
Unified Council 6
CLASS : 9 OLYMPIAD POWER PACK
Crossword - 4 (Lines and Angles)
ACROSS
1 Two angles whose sum is 180°. 6 Having the same shape and size. 7 Angles on parallel lines with arms forming a 'z'. 9 Four angles formed outside by a transversal and two parallel lines. 10 Line which intersects with parallel lines.
DOWN
2 A point at one end of a segment or the starting point of a ray. 3 Half line extending forever in one direction. 4 Type of angle between 180° and 360°. 5 Angle between 90° and 180°. 7 Type of angle between 0 and 90. 8 A length extending forever in both directions.
Unified Council 8
CLASS : 9 OLYMPIAD POWER PACK
Crossword - 6 (Circles and Surface area & Volumes)
ACROSS
2 The quadrilateral, all the four vertices of which lie on circle. 4 Half. 7 A part of a circle enclosed by two radii and the arc lying between them. 9 Chords of circle equidistant from centre. 10 A polyhedron with two congruent, parallel bases. 12 Intersection of plane and solid.
DOWN
1 Theory of measurement. 3 An instrument used to draw circle. 5 A line that touches a circle at exactly one point. 6 The number of square units occupied by the space inside the circle. 8 A solid whose base is a polygon and triangular side that converges at a vertex. 11 A two dimensional pattern that can be folded to create a space figure.
OLYMPIAD POWER PACK CLASS : 9
Physics
Crossword - 1 (Motion and Force & Laws of Motion)
1 2 3 4 5
6
7 8
9 10
11 12
ACROSS
4 Set of points where object moves. 7 The force that is needed to make an object travel in a circular path. 9 A pulley is massless and its net force. 10 Tends to change the State of motion. 11 Speed in a given direction. 12 A physical quantity which is specified by its magnitude.
DOWN
1 Force which is dependent only on the position of the object. 2 Product of mass and acceleration due to gravity. 3 Sharpening of a knife with a grinding wheel produces a spark. 5 The shortest distance from the initial to the final position. 6 The motion performed by the animals and plants is called 8 Resistance to change.
OLYMPIAD POWER PACK CLASS : 9
Chemistry
Crossword - 1 (Matter in our surroundings & Is matter around us pure)
1 2
3 4 5
6
7
8
9 10
11
12
ACROSS 1 Vapour form water at boiling temperature. 4 Hard, firm in shape. 6 Process of melting to join two or more into one. 8 Transform to purer form. 11 It can be defined as the study of matter and the changes it undergoes. 12 Liquid-in-liquid suspension.
DOWN 2 Mixtures with multiple metals. 3 Indivisible particle of matter. 5 The purpose may be to recover the precipitate. 7 One is put on table periodically for the chemist. 9 Most common solvent of earth. 10 Containing contaminants.
Unified Council 12
CLASS : 9 OLYMPIAD POWER PACK
Crossword - 2 (Atoms & Molecules)
1
2
3
4 5 6
7 8
9
10 11
12
ACROSS
5 Helium ion, emitted by radioactive element. 7 Number of atoms in a molecule of substances. 9 Atom core. 10 Having some mass number. 12 Subatomic particle involved in conduction.
DOWN
1 Slightly altered atoms, elemental variants. 2 Removal of an electron from hydrogen atom. 3 Latin name of potassium. 4 Molecule with two atoms. 6 Something fundamental. 8 Charged up atom. 11 Atomicity of noble gases.
Unified Council 14
CLASS : 9 OLYMPIAD POWER PACK
Crossword - 2 (Diversity, Health and Disease)
1 2 3
4 5
6 7 8
9 10
11
12
ACROSS
1 Flase cavity present inside the body of an organism. 4 Treponema pallidum. 6 Organisms with holes. 8 Prokaryotes that live in places of very high salt concentration. 10 Round shaped bacteria. 11 A microorganism that is killed by high pressure. 12 Variety of life forms found in a particular region.
DOWN
2 Published work on surgical antisepsis; sterile bandages and instruments etc. 3 The incidence of disease in the population including both fatal and nonfatal disease. 5 Flowering and seed bearing plants. 7 One of the major groups into which the animal kingdom is divided. 9 Space present inside the body.
OLYMPIAD POWER PACK CLASS : 9
Crossword - 3 (Food and Natural Resources)
1 2
3 4 5 6 7 8 9 10 11
12
ACROSS 2 The term used to describe bumper production of food grains. 3 Plant material. 6 The act of collecting a crop once it is grown. 10 Able to be retained as quickly as it is used. 11 One example of animal source which provides carbohydrates, proteins and fats. 12 Coal, natural gas, oil.
DOWN 1 Scarcity and irregular distribution of rain. 4 A gas that decaying biomass produces. 5 Nutrient specific, fertilizer or manure. 7 One example of plant source which provide protein. 8 A way biomass can be used to create energy using heat. 9 A thick middle east dip made from ground chickpeas and sesame seeds.
OLYMPIAD POWER PACK CLASS : 9
06 In the given figure, D is the mid-point of BC and L is the
mid-point of AD. If ar ( ∆ ABL) = x ar ( ∆ ABC), what is
the value of x?
(A) 2 (B)
(C)
(D) 4
3 3 3 3 3 3
a+ b + b + c + c + a 3 a+ b b + c c + a
= _____
a + b + c 3 abc
(A) 1 (B) 2 (C) 3 (D) 4
08 Find the remainder obtained when 5^2017 + 13^2017 i s
divided by 18.
(A) 0 (B) 1
(C) 2 (D) cant be find
09 In the given figure, PQ || SR,
∠ SQR = 25o, ∠ QRT = 65 o, find y.
(A) 40 o^ (B) 1 50 o
(C) 50 o^ (D) 80 o
10 ABCD is a trapezium in which
AB || DC and AD = BC. If P, Q,
R, S be respectively the mid-
points of BA, BD and CD, CA,
then PQRS is a _________.
(A) rhombus (B) rectangle
(C) parallelogram (D) square
A
C D B
L
P
S
Q
R
65 o
y
25 o
x
T
D
A
R C
S Q
P B
Unified Council 18
CLASS : 9 OLYMPIAD POWER PACK
11 AB is a chord of a circle of radius 4.3 cm and P is a
point on AB which divides it into two parts in the ratio
7 : 10. If P is 2.7 cm away from the centre O, find the
length of AB.
(A) 5 cm (B) 6.8 cm (C) 6.4 cm (D) 6.1 cm
12 The sum and difference of two angles ∠ A and ∠ B of
a ∆ ABC are 128° and 22° in which ∠ B > ∠ A. Find the
biggest side.
(A) AB (B) BC (C) CA (D) AB = BC =CA
13 In the given figure,^ ∆^ ABD^ ≅ ∆^ ACD, AB = AC, BD = CD.
By which criterion are the triangles congruent?
A
B
C
D
(A) S.S.S. (B) R.H.S. (C) S.A.S. (D) A.S.A.
Space for Rough Work
