NEB Class 11 • Mathematics • Algebra • Study Guide
Logic & Truth Tables Study Guide: NEB 11 Maths
Master Logic and Truth Tables through clear concepts, representations, a reliable answer method and exam-focused practice.
Seven-session plan
Turn Logic and Truth Tables into retrievable knowledge
Mathematical logic studies propositions and valid reasoning. Truth tables evaluate compound statements under every assignment, while implication, converse, inverse and contrapositive must be distinguished precisely.
- Map prerequisites and definitions.
- Derive or justify the main relation: p→q is false only when p is true and q false; p↔q is true when p and q share a truth value; ¬(p∧q)=¬p∨¬q and ¬(p∨q)=¬p∧¬q.
- Redraw diagrams from memory.
- Study this worked checkpoint: For p=true and q=false, p→q is false but q→p is true. The contrapositive ¬q→¬p is logically equivalent to p→q.
- Mix conceptual and numerical questions.
- Complete a timed closed-book set.
- Retest only the first wrong decision in each answer.
Use contrast tables and error cards
Place easily confused ideas side by side. Write what stays fixed, what changes, the governing equation and the observable consequence. One high-value warning is: Treating implication as causal, confusing converse with contrapositive, evaluating only one row, or applying De Morgan laws without negating each component.
Use spaced retrieval: ten minutes today, a closed-book test tomorrow and a mixed review after one week. Explain every graph or diagram aloud before using algebra.
NEB answer method
Model → evidence → equation → check
First identify the system and what the question asks. Label the diagram, apparatus or reaction with SI quantities, then state the principle before selecting an equation. Solve symbolically where possible and check units, limiting cases and chemical or physical meaning.
| Stage | Question | Evidence |
|---|---|---|
| Model | What is idealised? | Assumption stated |
| Representation | Which diagram fits? | Labels or balanced equation |
| Calculation | Which relation follows? | Symbols then SI values |
| Evaluation | Does it make sense? | Unit, sign and trend check |
Make the idea concrete in Nepal
Connect the model to a school laboratory, household technology, health, environment, energy or local material. The example should clarify the science rather than merely mention a place. Compare a prediction with an observation and record uncertainty.
Review the NEB Class 11 Mathematics revision roadmap and the complete Mathematics guide. For online or physical tuition, call 9846662070.
Frequently asked questions
Questions students ask about Logic and Truth Tables
Mathematical logic studies propositions and valid reasoning. Truth tables evaluate compound statements under every assignment, while implication, converse, inverse and contrapositive must be distinguished precisely.
p→q is false only when p is true and q false; p↔q is true when p and q share a truth value; ¬(p∧q)=¬p∨¬q and ¬(p∨q)=¬p∧¬q.
Draw the situation, list known quantities in SI units, choose the governing relation symbolically, substitute once and finish with a unit and reasonableness check.
Treating implication as causal, confusing converse with contrapositive, evaluating only one row, or applying De Morgan laws without negating each component.
Alternate one concept explanation, one diagram and two numericals. Revisit errors after a day instead of only rereading the solution.
For online or physical KTM Tuition classes, call 9846662070. After Grade 12, the MKS Education panel below gives preparation and pre-counselling contacts.
References and next steps
Scope checked against CDC Nepal; concept support from an institutional reference and OpenStax Science. Continue with the Logic and Truth Tables cluster.
Ask about online or physical tuition
For focused Class 11 and Class 12 subject tuition, lesson clarification, worked-example practice and exam preparation, call 9846662070. Class mode, timetable, teacher availability and fees should be confirmed directly before enrolment.
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