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Constructions

NIOS · Class 10 · Maths

Step-by-step guide to study Constructions in NIOS Class 10 Maths. Topics to cover, practice strategy, and time allocation.

43 questions24 flashcards5 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 concepts.

2
Day 3

Practice Problems

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

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Constructions after a week. Use flashcards for quick recall. Solve previous year questions from 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 Complete Overview of Construction Methods, Complete Overview of Constructions Chapter, Construction Methods Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Constructions — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 43 practice questions available for this chapter. Revise formulas and 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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All 26 chapters — NIOS Class 10 Maths Study Plan

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