- 14 Sections
- 42 Lessons
- 365 Days
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- Chapter 1: A Square and A Cube (Square numbers, cube numbers, square roots, cube roots, properties)A Square and A Cube – Short Overview This chapter helps students understand square numbers and cube numbers, along with their important properties. It covers methods to identify perfect squares and perfect cubes, and explains how to find square roots and cube roots using prime factorisation and estimation techniques. Through MCQs with detailed explanations, students strengthen their number sense, improve calculation skills, and build a solid foundation for higher-level algebra and geometry topics in CBSE Class 8 Mathematics.3
- Chapter 2: Power Play (Laws of exponents, powers with integers, scientific notation)Power Play – Short Overview This chapter focuses on the laws of exponents and how powers work with positive and negative integers. Students learn to simplify expressions using exponent rules and understand the concept of writing large and small numbers in scientific notation (standard form). Through MCQs with clear explanations, learners develop accuracy in calculations and strengthen their foundation for advanced algebra and real-world applications involving large numbers.3
- Chapter 3: A Story of Numbers (Rational numbers, properties, operations, representation on number line)A Story of Numbers – Short Overview This chapter introduces rational numbers, their properties, and fundamental operations such as addition, subtraction, multiplication, and division. Students also learn how to represent rational numbers accurately on the number line. Through carefully designed MCQs with detailed explanations, learners strengthen their understanding of number system concepts and build a strong foundation for advanced mathematics topics in Class 8 and beyond.3
- Chapter 4: Quadrilaterals (Types, properties, angle sum, special quadrilaterals)Quadrilaterals – Short Overview This chapter explores different types of quadrilaterals, including parallelogram, rectangle, rhombus, and square, along with their key properties. Students learn about the angle sum property of quadrilaterals and understand relationships between sides and angles in special quadrilaterals. Through MCQs with detailed explanations, learners develop strong geometric reasoning skills and improve their ability to solve shape-based problems accurately.3
- Chapter 5: Number Play (Divisibility rules, factors, multiples, patterns)Number Play – Short Overview This chapter focuses on divisibility rules, factors, and multiples, helping students understand how numbers relate to one another. It also explores prime factorisation and interesting number patterns, strengthening logical thinking and problem-solving skills. Through MCQs with detailed explanations, students improve their accuracy in number-based questions and build a strong foundation for algebra and higher mathematical concepts.3
- Chapter 6: We Distribute, Yet Things Multiply (Algebraic expressions, distributive property, simplification)We Distribute, Yet Things Multiply – Short Overview This chapter introduces algebraic expressions, their terms, coefficients, and variables. Students learn to apply the distributive property and simplify expressions through proper operations and multiplication techniques. With MCQs and clear step-by-step explanations, learners strengthen their algebraic skills, improve accuracy in simplification, and build a solid foundation for solving higher-level equations in Class 8 Mathematics.3
- Chapter 7: Proportional Reasoning (Ratio, direct proportion, inverse proportion, applications)Proportional Reasoning – Short Overview This chapter introduces the concept of ratio and explores relationships between quantities through direct and inverse proportion. Students learn how to solve real-life word problems using proportional reasoning and understand how changes in one quantity affect another. Through MCQs with detailed explanations, learners develop strong analytical skills and gain confidence in solving comparison and variation-based problems in CBSE Class 8 Mathematics.3
- Chapter 8: Fractions in Disguise (Advanced fraction operations, word problems, applications)Fractions in Disguise – Short Overview This chapter deepens students’ understanding of advanced fraction operations, including addition, subtraction, multiplication, and division of complex fractions. It also focuses on solving word problems and real-life applications involving fractions. Through MCQs with detailed explanations, students enhance their calculation accuracy, strengthen problem-solving skills, and build confidence in handling fraction-based questions in CBSE Class 8 Mathematics.3
- Chapter 9: The Baudhayana-Pythagoras Theorem (Theorem, verification, applications in triangles)The Baudhayana–Pythagoras Theorem – Short Overview This chapter introduces the Baudhayana–Pythagoras Theorem, explaining the relationship between the sides of a right-angled triangle. Students learn to verify the theorem and apply it to solve problems involving unknown sides and geometric reasoning. Through MCQs with detailed explanations, learners strengthen their understanding of triangle properties and develop confidence in solving theorem-based questions in CBSE Class 8 Mathematics.3
- Chapter 10: Proportional Reasoning – 2 (Advanced ratio problems, compound proportions, applications)Proportional Reasoning – 2 – Short Overview This chapter extends the concept of ratios and proportions to advanced problems, including compound and continued proportions. Students learn to solve multi-step word problems and apply proportional reasoning in practical, real-life situations. Through MCQs with detailed explanations, learners improve logical thinking, enhance problem-solving speed, and gain confidence in handling complex proportion-based questions in CBSE Class 8 Mathematics.3
- Chapter 11: Exploring Some Geometric Themes (Angles, polygons, constructions, geometric properties)Exploring Some Geometric Themes – Short Overview This chapter focuses on important geometric concepts such as angle relationships, properties of polygons, and basic geometric constructions. Students explore how different angles and shapes are related and apply key geometric properties to solve problems. Through MCQs with clear explanations, learners strengthen their spatial reasoning skills and build a solid foundation in geometry for higher classes.3
- Chapter 12: Tales by Dots and Lines (Coordinate plane, plotting points, graphs)Tales by Dots and Lines – Short Overview This chapter introduces the coordinate plane and the basics of the Cartesian system. Students learn how to plot points, identify quadrants, and represent relationships using simple graphs. Through MCQs with detailed explanations, learners develop confidence in reading and drawing graphs, strengthening their understanding of coordinate geometry in CBSE Class 8 Mathematics.3
- Chapter 13: Algebra Play (Algebraic identities, linear equations, solving equations)Algebra Play – Short Overview This chapter focuses on algebraic identities, their expansions, and simplifications. Students also learn to form and solve linear equations in one variable, including solving equation-based word problems. Through MCQs with detailed explanations, learners strengthen their algebraic thinking, improve problem-solving accuracy, and build a strong foundation for advanced algebra topics in higher classes.3
- Chapter 14: Area (Mensuration, area of shapes, composite figures)Area – Short Overview This chapter covers key concepts of mensuration, focusing on calculating the area of various 2D shapes such as rectangles, triangles, parallelograms, trapeziums, and other polygons. Students also learn to find the area of composite figures formed by combining different shapes. Through MCQs with detailed explanations, learners improve accuracy in applying formulas and develop confidence in solving practical area-based problems in CBSE Class 8 Mathematics.3
CBSE Class 8 Maths MCQs on Finding Square Roots and Cube Roots (Prime Factorisation & Estimation)
CBSE Class 8 Maths MCQs on Finding Square Roots and Cube Roots (Prime Factorisation & Estimation)
Class: 8
Subject: Mathematics
Chapter 1: A Square and A Cube
Topic: Square Roots & Cube Roots
Board: CBSE (Based on Latest NCERT Curriculum)
These Multiple Choice Questions (MCQs) are strictly designed as per the CBSE curriculum based on NCERT books and are ideal for Class 8 Mathematics examination preparation.
Subject: Mathematics
Chapter 1: A Square and A Cube
Topic: Square Roots & Cube Roots
Board: CBSE (Based on Latest NCERT Curriculum)
These Multiple Choice Questions (MCQs) are strictly designed as per the CBSE curriculum based on NCERT books and are ideal for Class 8 Mathematics examination preparation.
1. Find the square root of 144 using prime factorisation.
A) 10
B) 11
C) 12
D) 14
B) 11
C) 12
D) 14
Answer: C) 12
144 = 2 × 2 × 2 × 2 × 3 × 3 = (2² × 3)². Taking one from each pair gives 12.
144 = 2 × 2 × 2 × 2 × 3 × 3 = (2² × 3)². Taking one from each pair gives 12.
2. The square root of 625 is:
A) 20
B) 25
C) 30
D) 35
B) 25
C) 30
D) 35
Answer: B) 25
625 = 25 × 25.
625 = 25 × 25.
3. Which of the following is √900?
A) 25
B) 28
C) 30
D) 32
B) 28
C) 30
D) 32
Answer: C) 30
900 = 30².
900 = 30².
4. Estimate √50 lies between:
A) 6 and 7
B) 7 and 8
C) 8 and 9
D) 5 and 6
B) 7 and 8
C) 8 and 9
D) 5 and 6
Answer: B) 7 and 8
7² = 49 and 8² = 64. So √50 lies between 7 and 8.
7² = 49 and 8² = 64. So √50 lies between 7 and 8.
5. The cube root of 125 is:
A) 4
B) 5
C) 6
D) 7
B) 5
C) 6
D) 7
Answer: B) 5
125 = 5³.
125 = 5³.
6. Find ∛216.
A) 4
B) 5
C) 6
D) 7
B) 5
C) 6
D) 7
Answer: C) 6
216 = 6³.
216 = 6³.
7. Estimate √80 lies between:
A) 8 and 9
B) 7 and 8
C) 9 and 10
D) 6 and 7
B) 7 and 8
C) 9 and 10
D) 6 and 7
Answer: A) 8 and 9
8² = 64 and 9² = 81. So √80 lies between 8 and 9.
8² = 64 and 9² = 81. So √80 lies between 8 and 9.
8. √169 =
A) 11
B) 12
C) 13
D) 14
B) 12
C) 13
D) 14
Answer: C) 13
13² = 169.
13² = 169.
9. ∛343 =
A) 5
B) 6
C) 7
D) 8
B) 6
C) 7
D) 8
Answer: C) 7
7³ = 343.
7³ = 343.
10. √1 =
A) 0
B) 1
C) -1
D) Both B and C
B) 1
C) -1
D) Both B and C
Answer: B) 1
Only positive square root is considered.
Only positive square root is considered.
11. ∛1000 =
A) 8
B) 9
C) 10
D) 12
B) 9
C) 10
D) 12
Answer: C) 10
10³ = 1000.
10³ = 1000.
12. √256 =
A) 14
B) 15
C) 16
D) 18
B) 15
C) 16
D) 18
Answer: C) 16
16² = 256.
16² = 256.
13. √400 =
A) 18
B) 19
C) 20
D) 25
B) 19
C) 20
D) 25
Answer: C) 20
20² = 400.
20² = 400.
14. ∛64 =
A) 2
B) 3
C) 4
D) 5
B) 3
C) 4
D) 5
Answer: C) 4
4³ = 64.
4³ = 64.
15. √225 =
A) 14
B) 15
C) 16
D) 18
B) 15
C) 16
D) 18
Answer: B) 15
15² = 225.
15² = 225.
16. Estimate √30 lies between:
A) 4 and 5
B) 5 and 6
C) 6 and 7
D) 3 and 4
B) 5 and 6
C) 6 and 7
D) 3 and 4
Answer: B) 5 and 6
5² = 25 and 6² = 36.
5² = 25 and 6² = 36.
17. ∛8 =
A) 1
B) 2
C) 3
D) 4
B) 2
C) 3
D) 4
Answer: B) 2
2³ = 8.
2³ = 8.
18. √36 =
A) 5
B) 6
C) 7
D) 8
B) 6
C) 7
D) 8
Answer: B) 6
6² = 36.
6² = 36.
19. ∛27 =
A) 2
B) 3
C) 4
D) 5
B) 3
C) 4
D) 5
Answer: B) 3
3³ = 27.
3³ = 27.
20. √81 =
A) 7
B) 8
C) 9
D) 10
B) 8
C) 9
D) 10
Answer: C) 9
9² = 81.
9² = 81.
These MCQs are strictly designed as per CBSE curriculum based on NCERT books for Class 8 Mathematics examination standard.