Chapter 1: Rational NumbersRead More➔🠔Read Less Multiple Choice Questions (MCQs): Which of the following is a rational number? a. 22​ b. 5445​ c. �π d. −32−23​ What is the value of 34+2343​+32​? a. 17121217​ b. 5775​ c. 6776​ d. 112121​ Which of the following is an irrational number? a. 2772​ b. 2525​ c. −43−34​ d. 3553​ If �=34x=43​, what is 2�−122x−21​? a. 5885​ b. 3443​ c. 1441​ d. 3883​ Arrange the following numbers in increasing order: −23−32​, 5445​, 1221​, −16−61​. a. −23<−16<12<54−32​<−61​<21​<45​ b. −23<−16<54<12−32​<−61​<45​<21​ c. −16<−23<12<54−61​<−32​<21​<45​ d. 12<−23<−16<5421​<−32​<−61​<45​ Fill in the Blanks: True/False: Matching: Match the following: Short Answer Questions: Application Problems: Multiple Choice Questions (MCQs): Which of the following is the multiplicative inverse of 3883​? a. −83−38​ b. 8338​ c. −18−81​ d. 1331​ What is the result of 23÷4532​÷54​? a. 5665​ b. 10151510​ c. 5885​ d. 8558​ If �=−12x=−21​, what is 4�+344x+43​? a. −2−2 b. 1441​ c. 3443​ d. −1−1 Identify the additive inverse of 7997​. a. 9779​ b. −79−97​ c. −97−79​ d. 7997​ Arrange the following numbers in descending order: 3443​, −56−65​, 2332​, 1221​. a. 34>23>12>−5643​>32​>21​>−65​ b. 34>12>23>−5643​>21​>32​>−65​ c. 23>34>12>−5632​>43​>21​>−65​ d. 23>12>34>−5632​>21​>43​>−65​ Fill in the Blanks: True/False: Matching: Match the following: Short Answer Questions: Application Problems: Feel free to modify or adjust these questions as needed.
Chapter 2: Linear Equations in One VariableRead More➔🠔Read Less What is the solution for 2�−7=52x−7=5? If 3�+4=163y+4=16, what is the value of �y? Which of the following is a linear equation? … Solve for �x in the equation 2(�−4)=3�+52(x−4)=3x+5. If 5�−3=225p−3=22, find the value of �p. … … A rectangle has a length that is 44 more than twice its width. If the perimeter is 3030 cm, find the dimensions. In a school play, the number of boys is 33 more than twice the number of girls. If there are 3030 boys, find the number of girls. … If 2(3�−1)=5�+62(3x−1)=5x+6, what is the value of �x? Which of the following is the correct solution to the equation 4�+8=204y+8=20? … … Solve for �y in the equation 3(�−2)=2�+13(y−2)=2y+1. If 6�+5=416a+5=41, find the value of �a. … … A boat travels 1515 km upstream in 33 hours and 3030 km downstream in 22 hours. Find the speed of the boat in still water and the speed of the stream. The sum of three consecutive even integers is 7878. Find the integers. … … Raju is 44 years older than twice the age of his sister. If Raju is 1818 years old, find the age of his sister. The perimeter of a rectangular garden is 4848 meters. If the length is 44 meters more than twice the width, find the dimensions of the garden. … Feel free to mix and match these questions or modify them according to your specific requirements. Remember to consider the difficulty level based on your class’s aptitude and the CBSE guidelines.Section A: Multiple Choice Questions (1 mark each)
Section B: Short Answer Questions (2 marks each)
Section C: Long Answer Questions (4 marks each)
Section D: Real-World Applications (5 marks each)
Section A: Multiple Choice Questions (1 mark each)
Section B: Short Answer Questions (2 marks each)
Section C: Long Answer Questions (4 marks each)
Section D: Real-World Applications (5 marks each)
End of Question Paper
Chapter 3: Understanding Quadrilaterals Read More➔🠔Read Less The sum of the interior angles of a quadrilateral is: a) 180 degrees In a parallelogram, opposite angles are: a) Supplementary Diagonals of a rectangle are always equal in length. (True/False) All rhombuses are squares. (True/False) The sum of the angles in a quadrilateral is ________ degrees. In a square, each interior angle measures ________ degrees. Explain the property that distinguishes a rectangle from a parallelogram. If the opposite angles of a quadrilateral are equal, what type of quadrilateral is it? The length of one side of a rhombus is 6 cm. Find the perimeter of the rhombus. A trapezoid has one base of length 8 cm, the other base of length 12 cm, and a height of 10 cm. Find its area. Match the quadrilateral with its correct property: Properties: Match the quadrilateral name with its diagram: Diagrams: Draw a parallelogram ABCD where AB = 5 cm, BC = 8 cm, and ∠A = 120 degrees. Given a square XYZW, draw its diagonals and calculate the measure of each diagonal. If a quadrilateral has opposite sides equal and parallel, it is called a: a) Rectangle b) Parallelogram c) Rhombus d) Square What is the sum of the interior angles of a trapezoid? a) 180 degrees b) 270 degrees c) 360 degrees d) 450 degrees In a square, the diagonals bisect each other at right angles. (True/False) The opposite angles of a parallelogram are always equal. (True/False) A quadrilateral with all sides and angles equal is called a ________. In a trapezoid, one pair of opposite sides is ________. State the property that distinguishes a rhombus from a square. If the diagonals of a quadrilateral are equal, what type of quadrilateral is it? The length of a rectangle is 12 cm, and the width is 8 cm. Calculate its area. A parallelogram has a base of 10 cm and a height of 6 cm. Find its area. Match the type of quadrilateral with the correct description: Descriptions: Match the quadrilateral name with its properties: Properties: Draw a trapezoid PQRST where PQ = 6 cm, QR = 8 cm, PS = 5 cm, and ∠P = 90 degrees. Given a rhombus ABCD, draw its diagonals and find the measure of each angle formed. Feel free to continue this pattern and adjust the questions based on the specific focus and depth you want for your students.Part A: Multiple Choice Questions
b) 270 degrees
c) 360 degrees
d) 450 degrees
b) Complementary
c) Equal
d) None of the abovePart B: True/False Questions
Part C: Fill in the Blanks
Part D: Short Answer Questions
Part E: Application Problems
Part F: Matching Questions
Part G: Diagram-Based Questions
Part H: True/False Assertion-Reasoning
Part A: Multiple Choice Questions
Part B: True/False Questions
Part C: Fill in the Blanks
Part D: Short Answer Questions
Part E: Application Problems
Part F: Matching Questions
Part G: Diagram-Based Questions
Part H: True/False Assertion-Reasoning
Chapter 4: Data HandlingRead More➔🠔Read Less Feel free to adapt these questions to suit your classroom’s needs, and you can choose specific questions based on the focus of your lessons or the pace of your class.Definitions and Concepts
Data Collection
Data Representation
Data Interpretation
[16]
Application Questions
Problem-Solving
Higher-Order Thinking
Critical Thinking
Reflection and Application
Extension Activities
Conclusion
Descriptive Questions
Practical Applications
Error Analysis
Probability and Likelihood
Data Transformation
Advanced Graphical Representation
Data Ethics
Mathematical Relationships
Review and Recall
Extended Problem-Solving
Connection to Other Subjects
Reflective Thinking
Data Manipulation
Project-Based Inquiry
Connection to Career Paths
Critiquing Graphical Representations
Exploring Averages
Real-Life Scenarios
Ethical Considerations in Research
Trends and Predictions
Statistical Inference
Reliability of Data
Integration of Technology
Cultural Perspectives
Historical Context
Future Trends in Data Handling
Reflecting on Personal Learning
Chapter 5: Squares and Square RootsRead More➔🠔Read Less Multiple Choice Questions (MCQs) – 30 questions (1 mark each) What is the square of 11? a) 121 b) 132 c) 144 d) 169 The square root of 25 is: a) 5 b) 6 c) 7 d) 8 If a square has an area of 64 sq units, what is the length of one side? a) 6 b) 8 c) 10 d) 12 The value of √196 is: a) 14 b) 16 c) 18 d) 20 If the side length of a square is 9 cm, what is its perimeter? a) 36 cm b) 45 cm c) 54 cm d) 81 cm The square of 7 is ___________. The square root of 100 is ___________. If the area of a square is 81 sq cm, what is the length of one side? If x^2 = 36, then x is ___________. √144 = ___________. If a square has a side length of 15 cm, what is its area? Find the value of y if y^2 = 121. The area of a square is 49 sq cm. What is the length of one side? If the side length of a square is 12 cm, what is its perimeter? Determine the value of √225. The square of 10 is ___________. The square root of 49 is ___________. If the area of a square is 100 sq cm, what is the length of one side? If x^2 = 64, then x is ___________. √81 = ___________. If a square has a side length of 8 cm, what is its area? Find the value of y if y^2 = 169. The area of a square is 36 sq cm. What is the length of one side? If the side length of a square is 11 cm, what is its perimeter? Determine the value of √121. The square of 9 is ___________. The square root of 144 is ___________. If the area of a square is 64 sq cm, what is the length of one side? If x^2 = 81, then x is ___________. √196 = ___________. Fill in the Blanks – 15 questions (1 mark each) The square of 13 is ___________. The square root of 144 is ___________. If the area of a square is 25 sq cm, what is the length of one side? If x^2 = 49, then x is ___________. √121 = ___________. The square of 6 is ___________. The square root of 64 is ___________. If the area of a square is 16 sq cm, what is the length of one side? If x^2 = 100, then x is ___________. √169 = ___________. The square of 14 is ___________. The square root of 81 is ___________. If the area of a square is 36 sq cm, what is the length of one side? If x^2 = 64, then x is ___________. √144 = ___________. Short Answer Questions – 15 questions (2 marks each) If the area of a square is 144 sq units, find the length of one side. Find the value of y if y^2 = 196. The area of a square is 81 sq cm. What is the length of one side? If a square has a side length of 7 cm, what is its perimeter? Determine the value of √225. If the side length of a square is 14 cm, what is its area? Find the value of y if y^2 = 100. The area of a square is 49 sq cm. What is the length of one side? If the side length of a square is 10 cm, what is its perimeter? Determine the value of √196. If a square has an area of 36 sq units, what is the length of one side? Find the value of y if y^2 = 121. The area of a square is 64 sq cm. What is the length of one side? If the side length of a square is 12 cm, what is its perimeter? Determine the value of √169. Application Problems – 15 questions (3 marks each) A rectangular field has a length of 18 m. If the width is equal to its length, find the area of the field. The square of a number is 324. Find the number. The area of a square is 169 sq units. If one side is doubled, what is the new area? A square has a perimeter of 36 cm. Find the length of one side. If the side length of a square is increased by 3 cm, and the area becomes 100 sq cm, find the original side length. The square of a number is 400. Find the number. A square has an area of 25 sq units. If one side is tripled, what is the new area? The perimeter of a square is 48 cm. Find the length of one side. If the side length of a square is decreased by 4 cm, and the area becomes 81 sq cm, find the original side length. The square of a number is 625. Find the number. A square has an area of 36 sq units. If one side is halved, what is the new area? The perimeter of a square is 60 cm. Find the length of one side. If the side length of a square is increased by 5 cm, and the area becomes 121 sq cm, find the original side length. The square of a number is 484. Find the number. A square has an area of 64 sq units. If one side is quadrupled, what is the new area? True/False Statements – 15 questions (1 mark each) √144 = 12 True/False If the side length of a square is 9 cm, then its area is 81 sq cm. True/False √169 = 14 True/False If the side length of a square is 16 cm, then its perimeter is 64 cm. True/False √25 = 6 True/False If the side length of a square is 25 cm, then its area is 625 sq cm. True/False √121 = 11 True/False If the side length of a square is 11 cm, then its perimeter is 44 cm. True/False √64 = 8 True/False If the side length of a square is 8 cm, then its area is 64 sq cm. True/False √36 = 5 True/False If the side length of a square is 5 cm, then its perimeter is 25 cm. True/False √196 = 14 True/False If the side length of a square is 14 cm, then its area is 196 sq cm. True/False √81 = 9 True/False
Chapter 6: Cubes and Cube RootsRead More➔🠔Read Less Multiple Choice Questions (MCQs): What is the cube of 4? a. 8 b. 16 c. 64 d. 256 The cube root of 27 is: a. 3 b. 4 c. 5 d. 6 Which of the following is not a perfect cube? a. 8 b. 27 c. 64 d. 81 What is the value of 23+3323+33? a. 11 b. 17 c. 29 d. 35 If �3=125x3=125, what is the value of �x? a. 3 b. 5 c. 7 d. 9 True/False Questions: The cube root of 64 is 4. (T/F) The cube of a negative number is negative. (T/F) The cube root of a perfect cube is always an integer. (T/F) 53+53=10353+53=103. (T/F) If �3=216a3=216, then �=6a=6. (T/F) Fill in the Blanks: The cube root of 125125 is _______. 4^3 = _______. 3^3 – 2^3 = _______. The volume of a cube with side length �s is _______. If �3=512x3=512, then x = _______. Short Answer Questions: Determine the cube of 66. Find the cube root of 729729. If �3=27a3=27, what is the value of �a? Express 23×2323×23 as a single power. What is the cube of the cube root of 6464? Application Problems: A cube has a side length of 55 cm. Calculate its volume. The sum of two consecutive cubes is 134134. Find the cubes. If the cube root of a number is 44, what is the number? A cube-shaped box has a volume of 125 cm3125cm3. Find the length of its side. The cube of a certain number is 10001000. What is the number? Multiple Choice Questions (MCQs): The cube of 00 is: a. 0 b. 1 c. 8 d. 27 Which of the following is a perfect cube? a. 10 b. 125 c. 144 d. 216 If �3=1a3=1, what is the value of �a? a. 1 b. 2 c. 3 d. 0 What is the cube root of 11? a. 0 b. 1 c. -1 d. Not defined The cube of a rational number is always: a. Rational b. Irrational c. Integer d. Whole number True/False Questions: 23×33=6323×33=63. (T/F) The cube of any prime number is also prime. (T/F) If �x is a negative number, �3x3 is also negative. (T/F) The cube root of 1000 is 10. (T/F) �3−�3=0a3−a3=0. (T/F) Fill in the Blanks: The cube of −2−2 is _______. If �3=64b3=64, then b = _______. The cube root of −27−27 is _______. 5^3 – 3^3 = _______. If �3=1c3=1, then c = _______. Short Answer Questions: Evaluate 43−2343−23. Find the cube root of −64−64. If �3=0x3=0, what is the value of �x? Express 23÷2323÷23 as a single power. The cube of a certain number is 2727. What is the number? Application Problems: The volume of a cube is 512 cm3512cm3. Determine the length of its side. A cube has a volume of 216 cm3216cm3. What is the length of its side? The sum of three consecutive cubes is 189189. Find the cubes. If the cube root of a number is 22, what is the number? A cube has a side length of 33 cm. Calculate its surface area. Feel free to adapt these questions as needed for your curriculum and the level of your students.
Chapter 7: Comparing Quantities Read More➔🠔Read Less 1-10: Definition and Basics 11-30: Comparisons and Calculations 31-50: Discount Problems 51-70: Applying Percentages in Real Scenarios 71-90: Problem-solving This set of questions covers a variety of topics within the chapter, including basic percentage calculations, comparisons, discounts, real-world applications, and problem-solving scenarios. Feel free to adjust the difficulty level or topics based on your class’s specific needs and the depth of understanding you want to assess.Part A: Understanding Percentages
Part B: Comparing Quantities
Part C: Calculating Discounts
Part D: Real-world Applications
Part E: Word Problems
Chapter 8: Algebraic Expressions and IdentitiesRead More➔🠔Read Less Multiple Choice Questions (MCQs): What is the simplified form of 3�+4�−2�+6�3x+4y−2x+6y? a) 5�+10�5x+10y Apply the distributive property: 2(3�−5)2(3a−5) a) 6�−106a−10 Fill in the Blanks: Simplify: 7−(3�−2)7−(3x−2) = ____ – ____x Apply the identity (a + b)^2 = a^2 + ____ + b^2 to find the missing term. True/False: (�+2)2=�2+22(x+2)2=x2+22 a) True The expression 3�−(2�−5)3p−(2p−5) is equivalent to �−5p−5. a) True Short Answer Questions: Define algebraic expressions. If �=2a=2 and �=3b=3, evaluate 2�+5�2a+5b. Application Problems: The perimeter of a rectangle is 2�+2�2l+2w. If �=3�+1l=3x+1 and �=2�−2w=2x−2, find the perimeter in terms of �x. Solve for �x in the equation 4(�+2)=204(x+2)=20. Matching: Longer Problem Solving: Given the expression 2�−(3−�)+4(2�+1)2x−(3−x)+4(2x+1), simplify it completely. Solve the equation 5�+7=225y+7=22 for �y. Word Problems: The sum of two consecutive integers is 25. Find the integers. The area of a square is given by �2s2. If the side length is 4�−14x−1, find the expression for the area. Multiple Choice Questions (MCQs): Simplify: 5�−(3�−2)+2�5y−(3y−2)+2y is equal to: a) 4�−24y−2 b) 10�−210y−2 c) 4�+24y+2 d) 6�−26y−2 Apply the identity (�−�)2=�2−2��+�2(a−b)2=a2−2ab+b2 to simplify: (4�−3)2(4x−3)2 equals: a) 16�2−6�+916x2−6x+9 b) 16�2−24�+916x2−24x+9 c) 16�2−12�+916x2−12x+9 d) 16�2−6�−916x2−6x−9 Fill in the Blanks: Simplify: 9−(2�+3)9−(2x+3) = ____ – ____x The expression 2�+(5�−3)2y+(5y−3) is equal to ____y – ____. True/False: (2�+1)2=4�2+1(2a+1)2=4a2+1 a) True b) False The expression 6−(2�+4)6−(2x+4) is equivalent to 4−2�4−2x. a) True b) False Short Answer Questions: What is the difference between an algebraic expression and an algebraic identity? If �=3p=3 and �=2q=2, evaluate 2�−3�2p−3q. Application Problems: The length of a rectangle is 3�+23x+2 and the width is 2�−12x−1. Find the expression for the area. Solve for �y in the equation 2(�−3)=102(y−3)=10. Matching: Longer Problem Solving: Simplify the expression 3(2�−5)+2(3�+1)3(2x−5)+2(3x+1). Solve the equation 7�−4=157z−4=15 for �z. Word Problems: The sum of three consecutive odd integers is 63. Find the integers. The area of a triangle is given by 12�ℎ21​bh. If the base is 3�+23x+2 and the height is 2�−12x−1, find the expression for the area. Feel free to adapt these questions to suit the specific needs and focus of your lesson plan.
b) �+2�x+2y
c) �+10�x+10y
d) �+4�y+4x
b) 6�−56a−5
c) �−10a−10
d) 5�−105a−10
b) False
b) False
Chapter 10: Exponents and PowersRead More➔🠔Read Less Section A: Basic Understanding (1-15) Section B: Laws of Exponents (16-35) Section C: Zero and Negative Exponents (36-50) Section D: Real-world Applications (51-65) Section E: Problem Solving (66-85) Section F: Advanced Concepts (86-90) Answers: Section G: Application of Exponents (91-105) Section H: Exponential Growth and Decay (106-120) Section I: Advanced Problem Solving (121-135) Section J: Critical Thinking (136-145) These questions cover a wide range of topics within the “Exponents and Powers” chapter and should provide a comprehensive understanding for students. Adjust them as needed for your class.
Chapter 11: Direct and Inverse ProportionsRead More➔🠔Read Less Section A: Multiple Choice Questions (1 mark each) If �y is directly proportional to �x and �=10y=10 when �=2x=2, what is the value of �y when �=5x=5? Inverse proportion is represented mathematically as: If �a is directly proportional to �b and �b is inversely proportional to �c, then �a is: The time it takes to complete a task is inversely proportional to the number of people working on it. If 4 people can complete the task in 6 hours, how long would it take for 8 people to complete the same task? Section B: Short Answer Questions (2 marks each) Define direct proportion and give an example. Explain the concept of inverse proportion with an illustration. If �p is directly proportional to �q and �=15p=15 when �=3q=3, find the constant of proportionality. The cost of printing �x books is directly proportional to the number of pages in each book and inversely proportional to the number of books. Express this relationship mathematically. Section C: Application-Based Questions (3 marks each) A car travels 240 km in 4 hours. If the speed remains constant, how long will it take to travel 360 km? The time it takes for a water tank to be filled is inversely proportional to the number of taps open. If it takes 8 hours to fill the tank with 4 taps open, how long will it take with 6 taps open? The cost of manufacturing �x toys is directly proportional to the number of workers and inversely proportional to the time taken. Express this relationship mathematically. A rectangular field has a length directly proportional to its breadth. If the length is 12 meters when the breadth is 4 meters, find the length when the breadth is 6 meters. Section A: Multiple Choice Questions (1 mark each) Section B: Short Answer Questions (2 marks each) Differentiate between direct and inverse proportions. Provide an example for each. The speed of a car is inversely proportional to the time it takes to cover a certain distance. If it takes 4 hours to cover 240 km at a certain speed, how long will it take to cover the same distance at half the speed? If �y is directly proportional to �x and �=8y=8 when �=4x=4, find the constant of proportionality. The cost of painting a wall is directly proportional to its area and inversely proportional to the number of painters. Express this relationship mathematically. Section C: Application-Based Questions (3 marks each) A rectangular garden has a length directly proportional to the square of its width. If the length is 18 meters when the width is 3 meters, find the length when the width is 4 meters. The time it takes to fill a swimming pool is directly proportional to the depth and inversely proportional to the number of hoses used. If it takes 6 hours with 2 hoses, how long will it take with 3 hoses? The cost of printing �x banners is directly proportional to the number of colors used and inversely proportional to the number of banners. Express this relationship mathematically. A machine can produce �x units in �y hours. If it takes 6 hours to produce 30 units, how long will it take to produce 40 units? Feel free to adjust the difficulty level or parameters in these questions as per your requirement.
Chapter 12: FactorisationRead More➔🠔Read Less Factorise 12��−8��12xy−8xz a) 4�(3�−2�)4x(3y−2z) b) 4�(3�−2�)4z(3y−2x) c) 4��(3−2�)4xy(3−2z) d) 4�(3�−2�)4x(3z−2y) What is the common factor of 15�+2015a+20? a) 5 b) 10 c) 15 d) 20 Solve for �x: 4�−24=04x−24=0 a) �=6x=6 b) �=8x=8 c) �=10x=10 d) �=12x=12 Factorise �2−25x2−25 a) (�−5)(�+5)(x−5)(x+5) b) (�−10)(�+2)(x−10)(x+2) c) (�−2)(�+5)(x−2)(x+5) d) (�−3)(�+3)(x−3)(x+3) Which expression is equivalent to 3(4�−2)3(4a−2)? a) 12�−212a−2 b) 12�−612a−6 c) 7�−27a−2 d) 4�−24a−2 … … … These questions aim to cover a variety of scenarios, ensuring that students can apply factorisation in different contexts and levels of difficulty. Adjust the difficulty as needed based on your class’s proficiency and the time available for assessment.Section A: Multiple Choice Questions (1-20)
Section B: Short Answer Questions (21-50)
Section C: Long Answer and Application-Based Questions (51-90)
Section D: Practical and Real-World Applications (91-110)
Section E: Review and Challenge Questions (111-120)
Chapter 13: Introduction to GraphsRead More➔🠔Read Less I. Definitions and Concepts (15 questions) II. Identification and Analysis (20 questions) III. Construction and Creation (25 questions) IV. Problem Solving (15 questions) V. Application and Real-Life Scenarios (15 questions) VI. Critical Thinking and Analysis (15 questions) Feel free to adapt these questions based on the specific needs of your class and the emphasis you want to place on different aspects of the chapter.