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Study Plan

Constructions — Study Plan

NIOS · Class 10 · Maths

A step-by-step study plan for Constructions, NIOS Class 10 Maths: what to learn first, what to practise and when to revise.

43 questions24 flashcards3 formulas & key relations5 concepts

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A step-by-step diagram illustrating the construction of dividing a line segment AB internally in a given ratio (e.g., 2:3) using a ray and parallel lines. Shows the initial line segment, the acute ang
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Division of a Line Segment in a Given Ratio, 2. Construction of Triangles, 3. Similar Triangles by Scale Factor.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 43 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Constructions after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • The number of equal points marked on the auxiliary ray equals the sum of the ratio parts.
  • For ratio 2:3, 5 equal points are marked.
  • A parallel line through the appropriate point gives the required division point.
  • SSS uses three sides.
  • SAS uses two sides and the included angle.
  • ASA uses two angles and the included side.
  • Scale factor is new triangle side to given triangle side.
  • For scale factor 3/5, 5 equal points are marked and the third point is used.
  • For scale factor 2/3, 3 equal points are marked and the second point is used.

Common Mistakes to Avoid

In the right triangle construction, the right angle can be placed at any vertex.

In the perimeter and base-angles construction, the full base angles are drawn at the ends of the base.

A midpoint in construction 9 can be taken by eye, without drawing the right bisector.

Memory Tips

Dividing a line segment internally in the ratio 2:3

Construction of a triangle when three sides are given

Construction of a triangle when two sides and the included angle are given

Construction of a triangle when two angles and the included side are given

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Frequently Asked Questions

What are the important topics in Constructions for NIOS Class 10 Maths?
Key topics in Constructions include Division of a Line Segment in a Given Ratio, Construction of Triangles, Similar Triangles by Scale Factor, Tangents to a Circle. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Constructions for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 43 practice questions on Constructions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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