NCERT MCQ Solutions for Class 8 Maths Ganita Prakash Chapter 5 Number Play are designed for the Session 2025-26. Ganita Prakash Math chapter 5 helps students understand number patterns, parity and divisibility rules. The MCQs cover key concepts in a simple way. These solutions improve reasoning and speed. Each question is solved with clear explanations. Students can use them for revision and practice. It builds a strong base for future math learning and boosts exam confidence.
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Number Play Class 8 Maths Ganita Prakash Chapter 5 MCQ
Q1. Which numbers can be written as a sum of two consecutive numbers?
Q2. When placing ‘+’ and ‘-‘ signs between 4 consecutive numbers, how many different possibilities for expressions exist?
Q3. When 4 consecutive numbers are chosen, and ‘+’ or ‘-‘ signs are placed between them, what is always true about the parity of the resulting expressions?
Q4. If the difference between two numbers is an even number, what can be concluded about their parities?
Class 8 Maths Ganita Prakash Chapter 5 Number Play MCQs
In Class 8 Ganita Prakash Chapter 5, we begin by understanding how numbers can be expressed as the sum of consecutive natural numbers. For example, 10 can be written as 1+2+3+4 or 4+6 and so on. A key discovery is that odd numbers can always be written as a sum of two consecutive numbers. We also ask: Can all numbers be written like this? This exploration leads to deep thinking and fun with numbers. Through MCQs, students can test which numbers allow multiple such representations. Solving such questions trains your brain to recognize hidden patterns in numbers and sharpens your calculation speed. That’s why practicing multiple-choice questions from this section is not just helpful but necessary for concept mastery.
Q5. What is the parity of odd ± odd?
Q6. Which of the following algebraic expressions will always evaluate to an even number for any integer values of m and q?
Q7. When is the sum of two even numbers a multiple of 4?
Q8. . If ‘a’ divides ‘M’ and ‘a’ divides ‘N’, what can be concluded about M + N and M – N?
Class 8 Maths Chapter 5 MCQs with Odd and Even Patterns
Class 8 Maths Ganita Prakash Chapter 5 focuses on parity or whether numbers are odd or even. You learn that when four consecutive numbers are combined using plus and minus signs in different ways, the result is always an even number. This is proven using algebraic logic and simple number properties. For instance, expressions like a + b – c – d will always have even parity. Students are encouraged to try examples like 3+4–5+6 or 5–6–7–8 and see what patterns emerge. MCQs based on parity teach you how to apply rules logically without lengthy calculations. These questions also prepare you for reasoning sections of Olympiads and competitive tests by improving your number behavior understanding.
Q9. If a number is divisible by 8, is it always true that 8 also divides any two numbers (separately) that add up to that number?
Q10. If ‘A’ is divisible by ‘k’, then all multiples of ‘A’ are divisible by ‘k’. Is this statement:
Q11. If a number is divisible by 12, what else is it always divisible by?
Q12. If a number is divisible by both ‘k’ and ‘m’, what else is it divisible by?
Divisibility Rules with Class 8 Ganita Prakash Chapter 5 MCQs
Another key part of Class 8 Maths Chapter 5 is learning divisibility rules using logical shortcuts. You already know rules for divisibility by 2, 5 and 10, but now you learn why these rules work using algebra and number structure. You also explore smart tricks for checking divisibility by 3, 9 and 11 by using digit sums and alternating signs. For example, if the sum of the digits of a number is divisible by 9, then the number itself is divisible by 9. Practicing MCQs on this helps you quickly eliminate wrong answers and select the right option. These questions reinforce understanding of number systems and offer a strong foundation for higher math topics like factors and multiples.
Q13. When you add an odd number to an even number, you get a multiple of 6. Is this statement:
Q14. Which algebraic expression captures all numbers that leave a remainder of 3 when divided by 5?
Q15. What is the divisibility shortcut for a number being divisible by 10?
Q16. How is the remainder found when a number is divided by 9, using the shortcut method?
Class 8 Maths Chapter 5 MCQs With Digital Roots
Towards the end of the chapter, we explore digital roots—the single-digit result of adding digits repeatedly. For example, the digital root of 489710 is 2. This is used to cross-check arithmetic operations and divisibility. You also solve exciting cryptarithm puzzles, where digits are replaced by letters. These sharpen your logical reasoning. Questions like “If 31z5 is divisible by 9, what is the value of z?” test your application of rules. Solving such MCQs builds confidence and fluency in number manipulation. This makes your mathematical thinking flexible and ready for both classroom tests and competitive exams. That’s why regular practice of these multiple-choice questions is essential.
Q17. What is the shortcut for divisibility by 3?
Q18. What is the alternating pattern observed when powers of 10 are divided by 11?
Q19. How do you check divisibility by 6?
Q20. What is a “digital root” of a number?
What type of questions are asked in Class 8 Maths Chapter 5 MCQ and how should I prepare for them?
The MCQs in Class 8 Maths Ganita Prakash Chapter 5 usually test your understanding of number forms, patterns and divisibility rules. You’ll find questions like identifying the correct general form of a number, checking which number among the options is divisible by 9 or solving simple digit puzzles. Some MCQs ask you to find missing digits that satisfy certain rules. To prepare, you should practice converting numbers into their expanded forms like 100a + 10b + c and use divisibility shortcuts often. Regular revision of basic rules helps you think quickly during exams. Solving multiple-choice questions not only builds your confidence but also improves your logical thinking. The more you practise these MCQs, the faster you’ll be at solving problems with accuracy during time-bound tests.
How do Class 8 Ganita Prakash Chapter 5 MCQ questions help in learning number patterns and logic?
Class 8 Maths Ganita Prakash Chapter 5 focuses heavily on patterns in numbers and logical reasoning. MCQs related to these topics help you understand how numbers behave when arranged in certain sequences. For example, you may be asked how many ways a number like 15 can be written using consecutive numbers or why certain numbers always give even results when signs are changed. These MCQs improve your observation and pattern recognition skills. They make your brain think quickly and logically without needing to solve long equations. By solving different types of MCQs regularly, you’ll get familiar with various number tricks and develop a smart way of solving questions faster. These skills are very useful in competitive exams too, where quick logic is more important than lengthy calculations.
How can I improve my accuracy in solving Class 8 Maths Chapter 5 MCQ questions?
Accuracy comes from understanding concepts clearly and avoiding careless mistakes. In Chapter 5, most MCQs are based on rules like divisibility by 2, 3, 5, 9, 10 and generalised forms of numbers. The key to solving these correctly is to remember the rules and apply them quickly. Always read the question carefully before choosing an option. For example, if the MCQ says, “Which of the following numbers is divisible by 9?”, don’t start dividing—just check the sum of digits. This kind of shortcut saves time and increases accuracy. Practising similar questions regularly sharpens your mind and trains you to spot errors. Reviewing your mistakes after each practice session helps you avoid repeating them in exams, making you more accurate with each attempt.
What are some common mistakes students make in Class 8 Ganita Prakash Chapter 5 MCQ?
Many students make mistakes in MCQs because they rush or forget simple rules. One common error is misreading the question—like missing a keyword such as “odd” or “even”. Another is choosing an answer without checking all the options. In Class 8 Maths Ganita Prakash Chapter 5, mistakes often happen when applying divisibility rules or when solving puzzles involving missing digits. To avoid these, always double-check your logic before selecting an answer. For example, if a question asks for the smallest digit that makes a number divisible by 9, calculate the sum of digits and think clearly. Don’t guess without working it out. Also, practice MCQs in a timed manner to get used to pressure. This improves your focus and helps you make fewer mistakes during real exams.
What is the best strategy to master Class 8 Maths Chapter 5 MCQ for exams?
The best strategy is to divide your preparation into three steps. First, learn all the rules—especially divisibility and generalised forms—by heart. Second, practice MCQs every day for 10–15 minutes. This keeps your mind active and sharp. Start with simple ones and slowly move to trickier ones involving patterns or missing digits. Third, evaluate your answers. Check where you went wrong and understand why. Try to solve those questions again without looking at the answer key. Also, time yourself regularly. Aim to solve 10 MCQs in 8–10 minutes without errors. This builds both speed and confidence. If you follow this strategy consistently, you’ll not only do well in this chapter but also become better at handling any math MCQ in future exams.