CBSE Class 10 - Maths - 1 Mark Questions Asked in Previous Years Examinations (#cbsenotes)(#eduvictors)

Class 10 - Maths - 1 Mark Questions Asked in Previous Years Examinations

Q1: If secθ.sinθ = 0, find tan θ.

Answer:
secθ.sinθ = tan θ = 0
  ⇛ tan θ = tan 0°
  ∴ θ = 0°


Q2: If tan(3x + 30°) = 1, find the value of x

Answer:
tan(3x + 30°) = 1 = tan 45°
3x + 30° = 45°
3x = 45 - 30 = 15
x = 5°


Q3: When are two triangles said to be similar?

Answer: Two triangles are said to be similar when corresponding sides are proportional and angles are equal.

CBSE Class 10 - Mathematics Pre-Board Sample Question Paper (Set-6) (2018-19) (#cbsepapers)(#eduvictors)

CBSE Class 10 - Mathematics
 Pre-Board Sample Question Paper (Set-6)
 (2018-19) 

Getting good marks is very important for students of class 10. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. CBSE Sample Question Papers (March 2019) available at Amazon 

2. Xam Idea 20 CBSE Sample Question Papers for 2019 Exam

CBSE Class 10 - Mathematics Pre-Board Sample Question Paper (Set-5) (2018-19) (#cbsenotes)(#eduvictors)

CBSE Class 10 - Mathematics
 Pre-Board Sample Question Paper (Set-5)
 (2018-19) 

Getting good marks is very important for students of class 10. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. CBSE Sample Question Papers (March 2019) available at Amazon 

2. Xam Idea 20 CBSE Sample Question Papers for 2019 Exam

CBSE Class 10 - Mathematics Pre-Board Sample Question Paper (Set-4) (2018-19) (#cbsepapers)(#eduvictors)

CBSE Class 10 - Mathematics
 Pre-Board Sample Question Paper (Set-4)
 (2018-19) 

Getting good marks is very important for students of class 10. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. CBSE Sample Question Papers (March 2019) available at Amazon 

2. Xam Idea 20 CBSE Sample Question Papers for 2019 Exam

CBSE Class 10 - Mathematics Pre-Board Sample Question Paper (2018-19) (#cbsepapers)(#eduvictors)

CBSE Class 10 - Mathematics
 Pre-Board Sample Question Paper (2018-19) 

Getting good marks is very important for students of class 10. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. CBSE Sample Question Papers (March 2019) available at Amazon 

2. Xam Idea 20 CBSE Sample Question Papers for 2019 Exam

CBSE Class 10 - Mathematics Pre-Board Sample Question Paper (2018-19) (Set-3)(#class10papers)(#cbsepapers)(#eduvictors)

CBSE Class 10 - Mathematics
 Pre-Board Sample Question Paper (2018-19) (Set-3)

Getting good marks is very important for students of class 10. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

CBSE Class 10 - Mathematics Periodic Test 3 Sample Question Paper (2018-19)(#cbsepapers)

CBSE Class 10 - Mathematics
 Periodic Test 3 Sample Question Paper
(2018-19)

Class 10 Mathematics covers various basics concepts of number systems, algebra, statistics, probability, geometry, trigonometry etc., thus laying logical foundations of the subject.  Here follows the class 10  Maths (Periodic Test) sample question paper for practice.

CBSE Class 10 - Mathematics Pre-Board Sample Question Paper (Set-2) (2018-19)

CBSE Class 10 - Mathematics
 Pre-Board Sample Question Paper (2018-19)

Class 10 Mathematics covers various basics concepts of number systems, algebra, statistics, probability, geometry, trigonometry etc., thus laying logical foundations of the subject.  Here follows the class 10  Maths (Pre-board) sample question paper for practice.

CBSE Class 10 - Mathematics Pre-Board Sample Question Paper (2018-19)(#cbsepapers)(#eduvictors)

CBSE Class 10 - Mathematics
 Pre-Board Sample Question Paper (2018-19)

Class 10 Mathematics covers various basics concepts of number systems, algebra, statistics, probability, geometry, trigonometry etc., thus laying logical foundations of the subject.  Here follows the class 10  Maths (Pre-board) sample question paper for practice.

CBSE Class 10 - Maths - Quadratic Equations - 10 Types of Question Patterns asked that You Must Know (#cbsenotes)(#eduvictors)

Quadratic Equations - 10 Types of Question Patterns asked that You Must Know 

Here is a list of ten pattern types questions that are commonly asked in class 10 maths examination paper.  Solutions are also  provided in the end.

Q1: Determine whether the given values are solutions of the given equation or not?
x² − 3x + 2 = 0, x = 2, x = −1

Q2: Find the value of k for which the given value is a solution of the given equation
x² − x(a + b) + k = 0, x = a

Q3: The product of two consecutive positive integers is 306. Form the quadratic equation to find the integers, if x denotes the smaller integer.

Q4: Solve the give quadratic equation by factorization: (x - 4)(x + 2) = 0

Q5: Find the roots of the following quadratic equation (if they exist) by the method of completing
the square.
x² - 4√2 x +  6 = 0

CBSE Class 10 - All Subjects Sample Question Papers (2018-19) (#cbsepapers)(#eduvictors)

CBSE Class 10 -
 Sample Question Papers (2018-19)

All Subjects

The Central Board of Secondary Education (CBSE) conducts Class 10 Board examinations every year in March. All examination questions depend on this prospectus so students should know about any updates that are made by NCERT. For the examinations, students can likewise download the CBSE board test papers for class 10 free PDF download and work on taking care of issues with us.

By solving the CBSE test papers for class 10, candidates will figure out how to distinguish question paper examples and patterns, answer necessities, kinds of trap questions and the sky is the limit from there. Students are urged to endeavor test question papers inside the predefined time limit. The papers empower them  to find the correct technique and answers for ordinarily made questions. They are urged to solve the problems within the recommended time with the goal that they may assess their regions of solidarity and focus on those they are feeble in.

To endeavor board exam understudies require a great deal of training as ridicule tests and test papers that will plan and empower them to compose the Class 10 CBSE Board Examination with certainty. Since it is the main board exam a kid shows up for there is frequently a great deal of fear included. Explaining these example papers supports certainty and mitigates the dread of board examinations that a great deal of students have.

Here are sample question papers on various subjects for class 10 (session: 2018-19) along with answers and marking schemes:

Book For Serious Mathematics Readers - Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

Must Read Book For Mathematics Students and Teachers

Euclid's Window - Buy Ebook or Hard Copy

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space in the living room or in some other galaxy have been the hidden engine of the highest achievements in science and technology.

Mlodinow reveals how geometry's first revolution began with a "little" scheme hatched by Pythagoras: the invention of a system of abstract rules that could model the universe. That modest idea was the basis of scientific civilization. But further advance was halted when the Western mind nodded off into the Dark Ages. Finally in the fourteenth century an obscure bishop in France invented the graph and heralded the next revolution: the marriage of geometry and number. Then, while intrepid mariners were sailing back and forth across the Atlantic to the New World, a fifteen-year-old genius realized that, like the earth's surface, space could be curved. Could parallel lines really meet? Could the angles of a triangle really add up to more or less than 180 degrees? The curved-space revolution reinvented both mathematics and physics; it also set the stage for a patent office clerk named Einstein to add time to the dimensions of space. His great geometric revolution ushered in the modern era of physics.

CBSE Class 10 - Maths - Pair of Linear Equations in Two Variables - Key Points (#cbsenotes)(#eduvictors)

Pair of Linear Equations in Two Variables - Key Points

Linear Equation

An equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers and both a and b are nonzero is called a linear equation in two variables.

The solution of an Equation
Each solution (x, y) of a linear equation in two variables.

ax + by + c = 0, corresponds to a point on the line representing the equation, and vice-versa.


Pair of Linear Equations in Two Variables

The general form for a pair of linear equations in two variables x and y is
a₁x + b₁y + c₁ = 0
and a₂x + b₂y + c₂ = 0


Geometrically they look like the following:

CBSE Class 10 - Mathematics - Mid-Term Sample Question Paper - (2018-19)(#cbsepapers)(#eduvictors)

CBSE Class 10 - Mathematics
 - Mid-Term Sample
Question Paper - (2018-19)

CBSE Class 10 - Social Science - Mid-Term Sample Question Paper - (2018-19)(#cbsepapers)(#eduvictors)

CBSE Class 10 - Social Science
 - Mid-Term Sample
Question Paper - (2018-19)

Divisibility Rules of Various Numbers - CBSE Class 6-12 - NTSE, Entrance Tests - Mathematics Tips (#cbsenotes)(#entrancetests)(#eduvictors)

Divisibility Rules of Various Numbers 

(2-25)

Divisibility by 2: 
A number is divisible by 2 if its unit’s digit is even or 0.

Divisibility by 3: 
A number is divisible by 3 if the sum of its digits are divisible by 3.

Divisibility by 4: 
A number is divisible by 4 if the last 2 digits are divisible by 4, or if the last two digits are 0’s.

Divisibility by 5: 
A number is divisible by 5 if its unit’s digit is 5 or 0.

Divisibility by 6: 
A number is divisible by 6 if it is simultaneously divisible by 2 and 3.

CBSE Class 10 - Pair of Linear Equations In Two Variables - Solved Examples (#cbsenotes)(#eduvictors)

Pair of Linear Equations In Two Variables 

Solved Examples 

☛Following questions have been asked in previous years of CBSE board examination.

Q1: Solve the following system of linear equations by elimination method (equating the coefficients).
6 (ax + by) = 3a + 2b
6 (bx – ay) = 3b – 2a

Answer:

Given equations :
6 (ax + by) = 3a + 2b ...(1)
6 (bx – ay) = 3b – 2a ...(2)

multiply eqn. (1) by a and equation (2) by b, and add, we get

6a²x + 6aby = 3a² + 2ab
6b²x – 6aby = 3b² – 2ab
────────────────────────
6 (a² + b²)x = 3(a + b)
────────────────────────

⇒ x = ½

Put x = ½ in equation (1), we have

6a × ½ + 6by = 3a + 2b

6by = 2b
⇒ y = ⅓

∴ x = ½ and y = ⅓        (Answer)

CBSE Class 10 - Maths - Introduction to Trigonometry - Short Q and A (#cbsenotes)(#eduvictors)

Introduction to Trigonometry

Short Q and A 

Q1: If sin 3A = cos (A – 26°), where 3A is an acute angle, find the value of A.

Answer: sin 3A = cos (A – 26°)

∵ sin 3A = cos (90° – 3A)
∴ cos (90° – 3A) = cos (A – 26°)

Since
90° – 3A and A – 26° are both acute angles, therefore,
90° – 3A = A – 26°
⇒ A = 29°

Q2: Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

Answer: cot 85° + cos 75° = cot (90° – 5°) + cos (90° – 15°)

= tan 5° + sin 15°

CBSE Class 10 - Maths - Real Numbers (NCERT Exemplar Solutions Ex 1.1 Q4-6) (#cbsenotes)(#eduvictors)

Real Numbers 

(NCERT Exemplar Solutions Ex 1.1)

Question 4:
If the HCF of 65 and 117 is expressible in the form 65m − 117, then the value of m is
(A) 4
(B) 2
(C) 1
(D) 3

Answer: (B) 2

Explanation:
Using Euclid’s division algorithm,
b = aq + r, 0 ≤ r < a [∵ dividend = divisor × quotient + remainder]
⇒ 117 = 65 × 1 + 52
⇒ 65 = 52 × 1 + 13
⇒ 52 = 13 × 4 + 0
∴ HCF (65, 117) = 13 .... (i)

Also, given that, HCF (65, 117) = 65m – 117 ... (ii)

From Equations (i) and (ii), we get
65m − 117 = 13
⇒ 65m = 130
⇒ m = 2

CBSE Class 10 - Maths - Real Numbers (NCERT Exemplar Solutions Ex 1.1 Q1-3) (#cbsenotes)(#eduvictors)

Real Numbers (NCERT Exemplar Solutions Ex 1.1)

Question 1:
For some integer m, every even integer is of the form

(A) m
(B) m + 1
(C) 2m
(D) 2m + 1


Answer: (C) 2m

Explanation:
Even integers are -4, -2, 0, 2, 4, 6 ...
Let m = integers[Since, here integer is represented by m]
such that m = ⋯ , −1, 0, 1, 2, 3, ...
∴ 2m = ⋯ , −2, 0, 2, 4, 6, ...
∴ even integers can be represented in the form of 2m