3 Mark Questions · original practice
3 Mark Questions for Class 12 Mathematics Linear Programming. Try first, then reveal the answer. These are exam-oriented practice items, not copied board papers.
Practice questions aligned to NCERT topics used in CBSE classrooms. These are original exam-oriented questions for revision — not official CBSE board papers and not a guarantee of any exam question. Always match the textbook issued by your school and the latest PDFs on ncert.nic.in and cbseacademic.nic.in.
Answers opened: 0
Constraints. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Feasible region. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Corner-point method. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Bounded vs unbounded. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Linear Programming is an NCERT chapter taught in CBSE Class 12 Mathematics. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Every chapter ends with keywords or a summary that is useful for one-mark answers. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
CBSE often tests a concept by asking a daily-life example from the same chapter. Example: Use a situation from the NCERT activity or a labelled diagram in this chapter.
ExplanationThree-mark questions want a short explanation, not a full essay. Link the idea to a figure or an activity.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Step 1: State the fact — Use the terms used in the NCERT book; do not replace them with unofficial names. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
ExplanationCompetency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Step 1: State the fact — Mix MCQs with short answers so you remember both facts and explanations from Linear Programming. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
ExplanationCompetency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Step 1: State the fact — Objective function. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
ExplanationCompetency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Step 1: State the fact — Constraints. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
ExplanationCompetency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Step 1: State the fact — Feasible region. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
ExplanationCompetency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Step 1: State the fact — Corner-point method. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
ExplanationCompetency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Step 1: State the fact — Bounded vs unbounded. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
ExplanationCompetency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Step 1: State the fact — Linear Programming is an NCERT chapter taught in CBSE Class 12 Mathematics. Step 2: Show one example or diagram from the chapter and ask the classmate to repeat it in their own words.
ExplanationCompetency-based items check whether you can use a concept, not only name it. Teach-back is a simple way to prove understanding.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Read the definitions, diagrams and solved examples in the NCERT textbook before practising extra questions. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
ExplanationApplication questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Every chapter ends with keywords or a summary that is useful for one-mark answers. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
ExplanationApplication questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
CBSE often tests a concept by asking a daily-life example from the same chapter. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
ExplanationApplication questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
If the chapter has a diagram, practise labelling it — many school tests ask for labelled figures. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
ExplanationApplication questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Write three points from Linear Programming in your own words; that is enough for a short-answer start. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
ExplanationApplication questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
Use the terms used in the NCERT book; do not replace them with unofficial names. Use this fact to explain a real object, habit, experiment or measurement from the chapter.
ExplanationApplication questions reward a specific situation. Name the place (kitchen, playground, lab) and connect it to the fact.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
They would use the wrong term or the reverse relation. Remember: Mix MCQs with short answers so you remember both facts and explanations from Linear Programming. Always check the NCERT definition before jumping to a formula or a long explanation.
ExplanationHOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
They would use the wrong term or the reverse relation. Remember: Objective function. Always check the NCERT definition before jumping to a formula or a long explanation.
ExplanationHOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
They would use the wrong term or the reverse relation. Remember: Constraints. Always check the NCERT definition before jumping to a formula or a long explanation.
ExplanationHOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
They would use the wrong term or the reverse relation. Remember: Feasible region. Always check the NCERT definition before jumping to a formula or a long explanation.
ExplanationHOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
They would use the wrong term or the reverse relation. Remember: Corner-point method. Always check the NCERT definition before jumping to a formula or a long explanation.
ExplanationHOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
They would use the wrong term or the reverse relation. Remember: Bounded vs unbounded. Always check the NCERT definition before jumping to a formula or a long explanation.
ExplanationHOTS items ask you to predict an error. That is still chapter revision — not a claim that this exact wording will appear in the board exam.
MetaClass: Class 12 · Subject: Mathematics · Chapter: Linear Programming · Original GKSchools practice (NCERT-aligned, not an official CBSE paper).
No. They are original practice questions aligned to NCERT topics used in CBSE classrooms. Official sample papers are published on cbseacademic.nic.in.
Nobody can promise a question. Use them for revision of frequently tested concepts and exam-style practice.
Yes, the catalog follows current NCERT textbooks used in CBSE schools (including new middle-stage books such as Ganita Prakash and Curiosity). Always match the book issued by your school.
Try the question first, then tap Show answer. Mix MCQs with long answers. Revise formulas and diagrams from the textbook alongside this set.
Open the NCERT-style practice link on this subject or chapter. For word-for-word textbook exercise answers, use the NCERT book itself; we do not copy solution keys from other websites.
Hub /cbse/, then /cbse/class-12/, then subject and chapter slugs.
So students searching for “3 Mark Questions” land on a filtered set, while the chapter page remains the full 100-question bank. Same facts, different search intent.
Follow this loop every day: mixed test, current affairs, then today's subject. A new set arrives tomorrow.
After this page, use these three links — do not open a random page.
More sets from the same cluster — stay on this topic.
Timed papers with a scorecard — start any time, then return to a related quiz above.
