Number Systems · Class 9 Maths · Chapter 1
📐 Number Systems
CBSE Class 9 · Mathematics · Chapter 1
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Six free PDFs + an editable PPTX cover every angle of this chapter — read the deck, drill the MCQs, sit the full paper, then check against the marking scheme.
📖Notes Deck
Full lecture deck with teaching paragraphs, misconception red-boxes, and glossary. Read this first.
Download PDF →📝Quick Drill
15 pattern-tagged MCQs with per-Q time budget. Drill under a 20-min timer.
Download PDF →📄Exam Paper
Full exam-pattern paper with sections. Sit it closed-book before checking the marking scheme.
Download PDF →✅Marking Scheme + Topper Templates
Model answers + topper-template structures examiners reward with full credit.
Download PDF →⚡Cheat Sheet
1-page exam-day card: key points, top question patterns, 90-minute revision flow.
Download PDF →👨👩👧For Parents
1-page plain-language parent guide: what's being learned + questions to ask your child.
Download PDF →Top question patterns · CBSE annual / SQP aggregate
| 90% | Rationalise 1/(a + b√x) and simplify — Multiply by the CONJUGATE (a − b√x); use a² − b² to clear the surd; reduce. | 3 MARKS |
| 65% | Express recurring decimal in p/q form — Let x = decimal; ×10 (or ×100) to shift; subtract to cancel tail; solve; reduce. | 3 MARKS |
| 80% | Classify number / decimal as rational or irrational with reason — Recurring/terminating ⇒ rational. Non-terminating-non-recurring (√non-perfect-square, π) ⇒ irrational. | 2 MARKS |
| 70% | Simplify using laws of exponents for real bases — Convert roots to fractional powers; ADD exponents when multiplying same base; reduce the fraction. | 3 MARKS |
| 55% | Represent √x on the number line OR find numbers between two given numbers — Pythagoras/semicircle construction with compass arc; for 'between', average or insert decimals with non-repeating tails. | 3 MARKS |
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