Mathematical Reasoning · Class 11 Applied Mathematics · Chapter 3
🔢 Mathematical Reasoning
CBSE Class 11 Humanities & Commerce · 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 paper, then check against the marking scheme.
Full lecture deck with teaching paragraphs, misconception red-boxes, and glossary. Read this first.
Download PDF →15 pattern-tagged MCQs with per-Q time budget. Drill under a 20-min timer.
Download PDF →Full exam-pattern paper with sections. Sit it closed-book before checking the marking scheme.
Download PDF →Model answers + topper-template structures examiners reward with full credit.
Download PDF →1-page exam-day card: key points, top question patterns, 90-minute revision flow.
Download PDF →1-page plain-language parent guide: what's being learned + questions to ask your child.
Download PDF →Top question patterns · CBSE annual / SQP aggregate
| 95% | Converse / inverse / contrapositive of a conditional — Name p and q · Converse = swap (q⇒p) · Inverse = negate both (~p⇒~q) · Contrapositive = negate AND swap (~q⇒~p, equivalent to original). | 3 MARKS |
| 85% | Negation of a statement (incl. quantified) — Flip the truth value · for 'all' write 'some ... not' (∀→∃-not) · for 'some' write 'none / all ... not' (∃→∀-not). | 2 MARKS |
| 75% | Identify statement vs non-statement + truth value — Reject questions/commands/opinions/open sentences · for a genuine statement give T or F with a one-line reason. | 1 MARKS |
| 70% | Compound statement with AND / OR and its truth value — AND true only if BOTH true · OR (inclusive) false only if BOTH false · split a compound into components + connective when asked. | 2 MARKS |
| 60% | Validate / disprove a statement — Universal false ⇒ one counter-example · prove by direct / contrapositive / contradiction · state the final T/F conclusion. | 3 MARKS |