NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 8 Playing with Constructions

Class 6 Maths Ganita Prakash Chapter 8 begins with the fun and creative use of tools like a ruler and a compass. Students are introduced to the idea that all curves, including circles, can be created with basic instruments if you understand the distance from a point or the radius. For example, when you keep a compass fixed at point P and set it at a distance of 4 cm, you can draw a circle — all points on that circle are exactly 4 cm away from P, which becomes the centre. This is the foundation of all geometric constructions and is a critical learning in this chapter. The compass becomes your drawing partner, helping you create perfect curves instead of uneven, freehand shapes.

This part of 6th Maths Ganita Prakash blends art with geometry. Students learn how to draw figures like “A Person”, “Wavy Wave” and “Eyes” using a compass and ruler. For instance, waves are drawn using half circles on a central line of fixed length (e.g., 8 cm) and eyes require accurate placement of curves to maintain symmetry. It teaches how construction isn’t only technical — it can be creative and visually appealing too. By figuring out how to place the compass tip and adjust the radius, students can recreate artistic forms with geometric precision. This section helps learners connect estimation, symmetry and pattern recognition.

6th Maths Ganita Prakash chapter 8 then shifts to constructing basic geometric shapes like squares and rectangles. Using a dot grid, students learn how to identify properties: squares have all sides equal and 90° angles, while rectangles have equal opposite sides and 90° angles. An important concept is that even if a square or rectangle is rotated, it still remains the same shape if it retains its properties. Students also explore naming shapes, checking for equal angles and sides and understanding rotation and symmetry — all without needing to measure everything every time. This builds logical thinking and visualization skills.

Here, the focus is on step-by-step construction using rulers and compasses. For example, to draw a square of side 6 cm, students learn to draw perpendiculars, measure sides and join points precisely. Techniques include both ruler-based and compass-based methods. Activities also explore breaking rectangles into squares, drawing shaded squares and creating figures with holes or arcs. The most exciting task is constructing a rectangle with a given diagonal—this is done by drawing arcs with the compass to find the correct point of intersection. It helps students learn planning, visual estimation and practical construction methods.

Class 6 Maths Ganita Prakash chapter 8 ends with deeper construction concepts involving diagonals, such as how a diagonal divides opposite angles or how to construct a rectangle when only a side and diagonal are given. Students are challenged with tasks like drawing a house with all sides 5 cm, constructing squares within rectangles and experimenting with figures made of identical squares. There’s a lot of hands-on work with compass arcs, using equal distances and making smart estimations. These exercises build spatial reasoning and prepare students for real-world geometric tasks.

For Full NCERT Solutions:
Students are advised to visit Tiwari Academy for the best and most detailed solutions to Class 6 Maths Chapter 8 Playing with Constructions. It provides step-by-step answers, diagrams and support for every question in this chapter. Use it alongside your textbook and practice regularly to master constructions!