NCERT Class 6 Maths Number Play Practice
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Excellence in Primary Mathematics
NCERT Mathematics Quiz
NCERT Class 6 Maths Number Play Practice (Chapter 3)
Subject: Mathematics Grade: Middle Class 6 Total Questions: 60
SECTION A: Single Choice MCQs (Questions 1 to 30)
1. Which of the following numbers is a prime number?
2. What is the smallest composite number?
3. Which number is a factor of every natural number?
4. What is the HCF of 12 and 15?
5. What is the LCM of 4 and 6?
6. Which of the following is a pair of coprime numbers?
7. A number is divisible by 4 if:
8. What is the sum of all prime numbers between 1 and 10?
9. Which number is divisible by 11?
10. The number of factors of 36 is:
11. What is the greatest prime number less than 50?
12. If a number is divisible by both 3 and 4, it must be divisible by:
13. Which of the following numbers is a multiple of 8?
14. Twin primes differ by:
15. What is the only even prime number?
16. The LCM of two coprime numbers is equal to their:
17. Which of these is a perfect number?
18. What is the HCF of two consecutive numbers?
19. A number is divisible by 9 if:
20. What is the prime factorization of 60?
21. Which digit must replace ‘*’ in 543*2 to make it divisible by 3?
22. Which of the following is neither prime nor composite?
23. What is the HCF of 18 and 48?
24. What is the LCM of 15 and 20?
25. How many prime numbers are there between 1 and 50?
26. Which number is divisible by 6?
27. The product of HCF and LCM of two numbers is equal to:
28. Which of these numbers is divisible by 5?
29. What is the sum of the first three multiples of 5?
30. Which of the following numbers has more than two distinct prime factors?
SECTION B: Multi-Selection MCQs (Questions 31 to 60 – Select ALL correct)
31. Which of the following numbers are prime numbers? Multiple
32. Which of the following numbers are divisible by 4? Multiple
33. Select numbers that are factors of 48: Multiple
34. Which pairs of numbers are coprime? Multiple
35. Which of the following numbers are divisible by 11? Multiple
36. Select composite numbers from the options: Multiple
37. Which numbers are multiples of 7? Multiple
38. Which numbers are divisible by both 2 and 3? Multiple
39. Which expressions show valid prime factorization of 36? Multiple
40. Which of the following are twin prime pairs? Multiple
41. Which numbers are divisible by 9? Multiple
42. Select the common factors of 20 and 30: Multiple
43. Which numbers have 3 as a factor? Multiple
44. Which statements about numbers are true? Multiple
45. Which of the following numbers are multiples of 12? Multiple
46. Which numbers are divisible by 8? Multiple
47. Select numbers whose sum of digits is divisible by 9: Multiple
48. Which numbers have exactly 4 factors? Multiple
49. Which of the following represent common multiples of 3 and 4? Multiple
50. Which numbers yield a remainder of 1 when divided by 4? Multiple
51. Which numbers are less than 50 and are multiples of 7? Multiple
52. Which of the following numbers have an HCF of 6 with 18? Multiple
53. Which of these numbers are square numbers? Multiple
54. Which numbers are divisible by 10? Multiple
55. Which numbers are factors of 75? Multiple
56. Which of the following numbers have distinct prime factors other than 2 and 3? Multiple
57. Which numbers are less than 20 and prime? Multiple
58. Which numbers are divisible by both 5 and 10? Multiple
59. Which numbers leave a remainder of 2 when divided by 3? Multiple
60. Select numbers that have more than 4 factors: Multiple
Quiz Performance Summary
Mastering Class 6 Mathematics: Deep Dive into Chapter 3 “Number Play” and Number Theory
Welcome to the comprehensive online learning hub for NCERT Class 6 Mathematics Chapter 3, titled “Number Play”. Mathematics in middle school moves beyond simple arithmetic calculations and introduces students to the fascinating world of number theory. Understanding how numbers behave, interact, and relate to one another forms the bedrock of advanced mathematical thinking, analytical reasoning, and algorithmic problem-solving.
Free Download NCERT Class 6 Maths Worksheet – Number Play Practice – 50 Most Important questions with answers
The Significance of Factors and Multiples in Early Algebra
At the heart of Chapter 3 lie the core concepts of factors and multiples. While a factor represents an exact divisor of a number that divides it without leaving a remainder, a multiple is formed by multiplying a given number by any integer. Mastering these two concepts helps students transition smoothly into fractions, algebraic factorization, and finding common denominators. When learners practice recognizing factors, they inherently build mental agility that simplifies complex division tasks.
Unlocking the Mysteries of Prime and Composite Numbers
Prime numbers are the building blocks of all integers, often referred to as the “atoms” of mathematics. Every composite number can be uniquely expressed as a product of prime numbers—a foundational concept known as the Fundamental Theorem of Arithmetic. Through structured practice quizzes, students learn to differentiate between primes, composites, and special numbers like 1 (which is neither prime nor composite). Recognizing twin primes, coprime numbers, and even numbers like 2 gives students deeper structural intuition about quantity and divisibility.
Divisibility Rules: Shortcuts to Mathematical Efficiency
Divisibility rules are powerful mental shortcuts that allow students to determine whether a number can be divided by another without performing long division. Chapter 3 emphasizes tests for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11:
1. Divisibility by 2, 5, and 10: Checked instantly by looking at the units digit (even numbers for 2, 0 or 5 for 5, and 0 for 10).
2. Divisibility by 3 and 9: Determined by summing the digits of the number; if the sum is a multiple of 3 or 9, the entire number follows suit.
3. Divisibility by 4 and 8: Evaluated by examining the number formed by the last two or three digits respectively.
4. Divisibility by 11: Requires calculating the difference between the sum of digits at odd places and even places, checking if the result is 0 or a multiple of 11.
The Practical Power of HCF and LCM
Highest Common Factor (HCF) and Lowest Common Multiple (LCM) are not just theoretical exercises; they solve real-world problems. Whether scheduling simultaneous events, distributing items evenly across groups without leftovers, or synchronizing repetitive flashing lights, HCF and LCM provide the mathematical framework. Exploring these topics builds critical thinking and structured problem-solving skills necessary for higher-grade STEM education.
Why Interactive Digital Assessments Transform Learning
Traditional textbooks provide static exercises, but modern interactive digital tools offer dynamic engagement. This 60-question assessment is carefully split into Single-Choice MCQs and Multi-Selection questions to ensure rigorous evaluation:
1. Immediate Feedback Loop: Instant visual cues confirm correct answers or encourage immediate re-evaluation, accelerating conceptual retention.
2. Multi-Selection Rigor: Multi-selection questions eliminate random guessing, forcing students to analyze every option thoroughly and confirm their mathematical reasoning.
3. Comprehensive Coverage: Spanning 60 distinct questions, this quiz ensures complete topic mastery without repetition, giving students a robust tool for exam preparation and self-assessment.