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Chapter 9 of 14
Study Plan

Number Play — Study Plan

CBSE · Class 8 · Mathematics

A step-by-step study plan for Number Play, CBSE Class 8 Mathematics: what to learn first, what to practise and when to revise.

69 questions70 flashcards10 formulas & key relations5 concepts

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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: Sums of Consecutive Numbers, Parity in Expressions with Plus and Minus, When Two Even Numbers Give a Multiple of 4.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 69 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Number Play after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • Consecutive numbers are numbers written in order without gaps.
  • A number may have one or more representations as a sum of consecutive numbers.
  • Odd numbers can be written as the sum of two consecutive numbers.
  • Parity means even or odd.
  • All expressions of the form a ± b ± c ± d have the same parity.
  • Changing one sign changes the value by an even number.
  • A multiple of 4 plus a multiple of 4 is a multiple of 4.
  • Two even numbers that are not multiples of 4 also add to a multiple of 4.
  • Numbers of the form 4p + 2 are even but not multiples of 4.

Common Mistakes to Avoid

All expressions of the form a ± b ± c ± d can have different parities depending on the signs chosen.

If a number is divisible by 9, then every number divisible by 3 must also be divisible by 9.

For divisibility by 11, the digits should be added in the reverse order of the place-value pattern, or the short and excess sums can be subtracted in either order.

Memory Tips

All expressions formed from four numbers using plus and minus signs have the same parity

Switching one sign in a four-number expression changes the value by an even number

Odd plus odd, even plus even, odd minus odd, and even minus even all give even; odd plus even gives odd

Sum of two multiples of 4 is always a multiple of 4

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Frequently Asked Questions

What are the important topics in Number Play for CBSE Class 8 Mathematics?
Key topics in Number Play include Sums of Consecutive Numbers, Parity in Expressions with Plus and Minus, When Two Even Numbers Give a Multiple of 4, Divisibility by 10, 9, 3, and 11. Study these first, then practise questions on each for Class 8 exams.
How should I revise Number Play for Class 8 exams?
Learn the core ideas first, then work through the 69 practice questions on Number Play. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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