CBSE Class 12 Applied Mathematics · Numbers, Quantification & Numerical Applications · Chapter 1
🔢 Numbers, Quantification and Numerical Applications
CBSE Class 12 · Applied 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 board paper, then check against the marking scheme.
📖Notes Deck
Full lecture deck with motifs, misconception red-boxes, and Hindi glossary. Read this first.
Download PDF →📝Quick Drill
15 PYQ-tagged MCQs with year + set + marks + per-Q time budget. Drill under 20-min timer.
Download PDF →📄Board Paper
Full CBSE-pattern paper with 4 sections. Sit it closed-book before checking the marking scheme.
Download PDF →✅Marking Scheme + Topper Templates
Model answers + 3 topper-template structures CBSE markers reward with full credit.
Download PDF →⚡Cheat Sheet
1-page exam-day card: formulas, top PYQ 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 PYQ patterns · CBSE 2017–2024 aggregate
| 95% | Modulo / day-of-week / clock problem — Translate to N mod 7 (or mod 12 for clock) · compute remainder · count forward/backward · state the named day/hour. | 2 MARKS |
| 90% | Allegation / mixture — Identify C, D, M · apply (D−M):(M−C) cross-rule · verify by weighted-average check · state ratio with units. | 3 MARKS |
| 85% | Boats and streams — Compute down + up speeds · apply b = (down+up)/2, s = (down−up)/2 · verify both consistency checks. | 3 MARKS |
| 80% | Pipes and cisterns (with leak) — Convert each pipe to a per-unit-time RATE · sum the rates (leaks are negative) · invert to get the combined time. | 3 MARKS |
| 75% | Numerical inequality from a word problem — Translate constraint into inequality · solve algebraically (FLIP sign when multiplying/dividing by negative) · interpret solution back in the word context. | 4 MARKS |
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