NCERT Solutions for Class 5 Maths Chapter 7 Shapes and Patterns provide clear, step-by-step answers to every exercise and in-text question from the chapter Shapes and Patterns of the NCERT textbook Math Mela. Prepared by subject experts as per the latest NCERT (CBSE) syllabus for 2026-27, these NCERT Solutions for Class 5 Maths help you understand each concept, write exam-ready answers, and check your own solutions. You can read them online below or download the free Class 5 Maths Chapter 7 question-answer PDF.
NCERT Solutions for Class 5 Maths Chapter 7 Shapes and Patterns
- Class: Class 5
- Subject: Maths
- Chapter: Chapter 7 – Shapes and Patterns
- Textbook: Math Mela (NCERT)
- Study material: NCERT Solutions – questions with answers, free PDF
These solutions answer all the exercise questions of Chapter 7 Shapes and Patterns — including the in-text questions, short-answer and long-answer questions, and activities — with complete explanations so you can follow the method, not just the final answer. Read the full solutions below.
NCERT Solutions Class 5 Maths Chapter 7 Shapes and Patterns View Download
NCERT Solutions for Class 5 Maths Chapter 7 PDF Download
You can read the NCERT Solutions for Class 5 Maths Chapter 7 online above, or download the complete question-answer PDF to study Shapes and Patterns offline at any time.
NCERT Solutions for Class 5 Maths Chapter 7 PDF Download Link – Click Here to Download Solutions PDF
Questions Covered in This Chapter
These NCERT Solutions answer all 63 questions of this chapter. The questions solved are:
- Let us make paper mats. You will need — A coloured paper (30 cm long and 20 cm wide) and eight paper strips of two different colours (3 cm wide and longer than 20 cm). (a) Take a coloured paper 30 cm long and 20 cm wide. (b) Fold the coloured paper in half along the longer side. (c) Draw vertical lines at equal distances from the closed end and cut slits leaving a gap of 3 cm at the top. (d) Carefully unfold the paper. There will be no cuts in the paper at the top and the bottom. (e) Now cut 8 paper strips of 3 cm width in 2 colours and of length slightly longer than 20 cm. (f) Take one colour strip and weave it across the slits going 1 under and 1 over, and again 1 under and 1 over. Repeat it for the first row. (g) Take one more strip of another colour and weave it across the slits going 1 over and 1 under, and again 1 over and 1 under. Repeat it for the second row. (h) Weave all the strips in the same alternating pattern. Neatly fold any extra strip ends behind the mat. Your mat is ready!Step (b)Step (c)Step (f)Step (h)Steps (b), (c), (f) and (h) of making the paper mat.
- Can you figure out how to make this mat? Let us try to understand how this mat is woven by looking at the pattern in the first two rows. Row 1 — 2 over, 1 under, 2 over, 1 under, … Row 2 — 2 under, 1 over, 2 under, 1 over, … You can use strips of the same colour or 2 different colours, one for each row.The mat shown in the book, page 93.
- Try to weave a pattern, using the rules given below. Row 1 — 2 over, 1 under, 2 over, 1 under, … (repeat). Row 2 — 1 under (do not repeat), 3 over, 3 under, 3 over, 3 under, … (repeat). Row 3 — 2 under, 1 over, 2 under, … (repeat). Row 4 — 1 over (do not repeat), 3 under, 3 over … (repeat). Continue weaving in this order.
- Can you work out the steps for any of these designs and weave the pattern? Write the steps of the pattern in your notebook for each row until it starts repeating.The two woven designs given in the book, page 93.
- Draw the following pattern on a grid paper. Part of it is done for you. Now, complete the rest of the grid to get the full design.Left — the design to be drawn. Right — the dotted grid, with part of it already done.
- We have placed 3 pentagons around a point. Can we fit one more into the empty space?
- Can regular triangles fit together at a point without any gap? How many of them fit together? (A sample triangle is given at the end of the book.)
- Can squares (a regular 4-sided shape) fit together around a point without any gap or overlap? Try it out using cutouts of squares (a sample square is given at the end of the book). How many squares did you need?
- Can five squares fit together around a point without any gaps or overlaps? Why or why not?
- Can regular hexagons (6-sided shapes with equal sides) fit together around a point without any gaps or overlaps? Try and see (a sample hexagon is given at the end of the book). How many fit together at a point?
- Here is a tessellating pattern with more than one shape. What shapes have been used in this pattern? _____________, _____________.The tiling pattern given in the book, page 95.
- Continue the pattern given below and colour it appropriately.The part of the pattern printed in the book, page 95.
- A regular octagon means a shape with eight equal sides. Do regular octagons fit together without any gaps or overlaps? Try drawing the same and check.
- Look at the pattern given below. What shapes are coming together at the marked points? Are the same set of shapes coming together at these points? Continue the pattern and colour it appropriately.The dotted grid on page 96, with the four marked points. In the printed book the pattern itself is missing from this grid — only the marked points are shown.
- Here is a tiling pattern made using two different shapes — squares and triangles. Are the triangles equilateral? Why or why not?The tiling pattern on page 96, with the marked points in red.
- What shapes are coming together at the marked points? Are the same set of shapes coming together at these points? Continue the pattern and colour it appropriately.The tiling pattern on page 96, with the marked points in red.
- Create similar patterns using other cutouts of shapes.
- You will find a copy of this rhombus at the end of the book. Cut out the triangular pieces for the following activities. What geometrical shapes can you make by fitting 2 of these triangles together? Trace the shapes you created.The rhombus on page 96, divided into four triangles.
- How many different types of triangles can you make? Now, observe and measure the sides of these triangles. What do you notice?
- Trace the isosceles triangles on a paper and cut them out. Fold them in half. What do you notice about their angles?
- Is it possible to make a triangle where all three sides are equal (equilateral triangle)?
- Is it possible to make a triangle where all three sides are unequal?
- Cut the equilateral triangle provided at the end of the book. Check if all the angles of an equilateral triangle are equal — just like you did with the isosceles triangle.
- Now, cut the equilateral triangle in half. How many sides of each new triangle are equal?
- Check in scalene triangles whether any two or more angles are equal?
- How many different 4-sided shapes (quadrilaterals) can you make? Here are three possible shapes.
- Have you made a shape like the one shown on the right? This shape is called a kite. What do you notice about the sides of a kite? Side 1 = Side 2. Similarly, Side 3 = Side 4. These sides are called adjacent sides.1243The shape shown on the right on page 98, with its four sides numbered.
- Measure the sides of each of these two quadrilaterals A and B. What do you notice? Are there any pairs of sides that are equal? Which pairs are equal — adjacent or opposite?
- What types of angles do quadrilaterals A and B have? Which angles are equal in each of the above parallelograms?
- In the grid given below, draw two different kites and parallelograms each.The grid given in the book, page 99.
- Now, use 3 triangles from the rhombus to form shapes. How many sides do each one of them have? Using 3 triangular pieces of the rhombus, try creating a (a) 3-sided shape, (b) 4-sided shape, and (c) 5-sided shape.The rhombus and its four triangular pieces.
- Which of these shapes can be made with all 4 pieces? Try and find out. (a) Square (b) Rectangle (c) Triangle (d) Pentagon (5-sided) (e) Hexagon (6-sided) (f) Octagon (8-sided)The rhombus and its four triangular pieces.
- Look at the tangram set given at the end of your textbook. Cut out all the shapes. Name them.The tangram set given at the end of the textbook.
- How are they same or different from each other?
- What do you notice about the angles of each of the shapes?The tangram set given at the end of the textbook.
- What do you notice about the sides of each of the shapes?The tangram set given at the end of the textbook.
- Now, use some or all of the pieces of your tangram set to make the following shapes. There may be more than one way to do it.The four shapes to be made, page 99.
- Match the statement with the appropriate shape: 1. All my angles are right angles, but all my sides are not equal.(Square)(Rectangle)(Rhombus)(Parallelogram)The shapes to choose from, page 100.
- 2. All my sides are equal, but all my angles are not.
- 3. My opposite angles are equal, but my sides do not make a right angle.
- 4. Two pairs of sides are equal, but they do not make a right angle.
- 5. All my sides make right angles with each other and are equal.
- 6. My opposite angles are equal and so are my sides.
- 7. My opposite angles are equal and my sides make right angles.
- Do some of them describe more than one shape?
- Make your own kite shape. (a) Start with a square piece of paper. (b) Take one corner of the paper and fold it towards the opposite corner, creating a sharp crease along the diagonal. (c) Open and fold the corner A inwards, aligning the edge with the crease you just made. (d) Repeat on the other side, folding the other corner B inwards to align with the crease at the centre. You have a kite shape!(A)(B)Step (b)(A)Step (c)(B)Step (d)The kiteFolding a square sheet of paper into a kite.
- What shapes do you see in the kite?
- Do you remember a circle? (a) Draw a circle with a compass and mark its centre. (b) Draw its diameter. Mark the endpoints of the diameter. (c) Draw another diameter of the circle and mark the endpoints. (d) Now join the four points. What shape is formed? Check the sides of the quadrilateral and the angles obtained.
- Try with a different pair of diameters. What do you notice about the shape that is formed?The circle on page 101 — two diameters drawn, and the four endpoints joined.
- Is it possible to create a 4-sided shape other than a rectangle through this process?
- Look at the circle given below. It is marked with points 1 to 24. Join points 1 to 11, 11 to 2, 2 to 12, and so on till you reach back at 1. (Try it with different coloured threads on a thick paper or cloth.)
- Can you think of a way to make a design exactly like the image given here? Try to make it.The design given in the book, page 101.
- Here are three views of a cube. Can you draw them on the net in the correct order?View 1View 2View 3Three views of the same cube, and the net to draw them on.
- Here are some big solid cube frames. How many small cubes have been removed from each cube? (a) (b) (c)
- Nisha has glued 27 small cubes together to make a large solid cube. She paints the large cube red. How many of the original small cubes have — (a) three faces painted red? (b) two faces painted red? (c) one face painted red? (d) no faces painted red?
- Tanu arranged 7 shapes in a line. She used 2 squares, 2 triangles, 1 circle, 1 hexagon, and 1 rectangle. Find her arrangement using the following clues: (a) The square is between the circle and the rectangle. (b) The rectangle is between the square and the triangle. (c) The two triangles are next to the square. (d) The hexagon is to the right of the triangle. (e) The circle is to the left of the square.
- What do these names mean? Once you count their faces, you will know.
- What shapes do you see in an icosahedron and a dodecahedron? Icosahedron: …….. Dodecahedron: ……..
- Do all the faces look the same? Icosahedron: …….. Dodecahedron: ……..
- How many faces meet at a vertex (point)? Icosahedron: …….. Dodecahedron: …….. Do the same number of faces meet at each vertex? Icosahedron: …….. Dodecahedron: ……..
- How many edges do you see? Icosahedron: …….. Dodecahedron: …….. How did you count them such that you do not miss out any edge or count an edge twice?
- Can you think of any other solid shapes that have faces that look the same? Do the same number of faces meet at each common vertex? ………..
- You can also build some 3-D shapes using straws or ice-cream sticks and clay or play dough. Which shapes did you make?
Chapter at a Glance
- A pattern is something that repeats. In a woven mat, each strip goes over some slits and under others. Write it down in words — 1 under, 1 over, 1 under, 1 over … — and you can weave the same mat again, or tell a friend how to weave it. The rule for each row is written until it starts repeating.
- Tiling means covering a floor with no gaps and no overlaps. Look at the tiles in your school verandah. If copies of one shape can cover a region with no gap left over and no tile lying on top of another, we say that shape tessellates. Squares, equilateral triangles and regular hexagons tessellate. Regular pentagons and regular octagons do not.
- The test is at a point. Put cut-outs of the shape around one point. A full turn around a point is 360 degrees. So the corners meeting at that point must add up to exactly 360. Six triangle corners of 60 make 360. Four square corners of 90 make 360. Three hexagon corners of 120 make 360. Three pentagon corners of 108 make only 324 — a gap of 36 is left, and a fourth pentagon will not fit into it.
- Regular shapes have all sides equal. A regular pentagon has 5 equal sides, a regular hexagon 6, a regular octagon 8. A triangle with all three sides equal is called an equilateral triangle, and all three of its angles are equal too.
- Triangles come in three families, sorted by their sides. All three sides equal → equilateral. Exactly two sides equal → isosceles, and it also has two equal angles. No two sides equal → scalene, and no two of its angles are equal either. Fold a paper triangle in half and you can see the equal angles land on top of each other.
- Four-sided shapes are called quadrilaterals. A kite has two pairs of equal adjacent sides (sides next to each other). A parallelogram has its opposite sides equal, and its opposite angles equal. A rectangle is a parallelogram in which all four angles are right angles. A rhombus is a shape with all four sides equal. So a rectangle is a special parallelogram, and a square is both a rectangle and a rhombus.
- Cut a shape up and you can build new shapes. Cut a rhombus along both its diagonals and you get 4 equal right-angled triangles. Two of them make a triangle, a kite, a parallelogram or a rectangle. Four of them make a bigger triangle or a bigger rectangle. A tangram cuts one square into 7 pieces — 5 triangles, 1 square and 1 parallelogram — and those 7 pieces make hundreds of shapes.
- Circles hide shapes too. Draw two diameters of a circle and join their four endpoints: you always get a rectangle, because both diameters are the same length and each one cuts the other exactly in half at the centre. If the two diameters cross at right angles, the rectangle becomes a square.
- Solids have faces, edges and vertices. A face is a flat surface, an edge is a line where two faces meet, and a vertex is a corner point. A cube has 6 faces. An icosahedron has 20 triangular faces (icosa means twenty) and a dodecahedron has 12 pentagonal faces (dodeca means twelve). Both have 30 edges.
How to Download NCERT Solutions for Class 5 Maths Chapter 7 PDF
Follow these simple steps to get the Shapes and Patterns questions-and-answers PDF from Math Mela.
- Search NCERT Solutions for Class 5 Maths Chapter 7 aglasem and open this page.
- Read the exercise questions with answers for Shapes and Patterns shown above.
- Click the Download PDF link to save the Shapes and Patterns solutions to your device.
NCERT Solutions for Class 5 Maths – All Chapters
There are more chapters to study besides Shapes and Patterns in Maths. Here are the NCERT Solutions for all chapters of Class 5 Maths.
- Chapter 1 We the Travellers I
- Chapter 2 Fractions
- Chapter 3 Angles As Turns
- Chapter 4 We the Travellers Ii
- Chapter 5 Far and Near
- Chapter 6 the Dairy Farm
- Chapter 7 Shapes and Patterns
- Chapter 8 Weight and Capacity
- Chapter 9 Coconut Farm
- Chapter 10 Symmetrical Designs
- Chapter 11 Grandmother s Quilt
- Chapter 12 Racing Seconds
- Chapter 13 Animal Jumps
- Chapter 14 Maps and Locations
- Chapter 15 Data Through Pictures
NCERT Solutions for Class 5 – All Subjects
Just like Chapter 7 of Maths, you can get the exercise questions with answers for every other subject of Class 5. Here are the NCERT Solutions for all subjects of Class 5.
NCERT Solutions for Class 5 Maths Chapter 7 – An Overview
The key highlights of this study material are as follows.
| Aspects | Details |
|---|---|
| Class | Class 5 |
| Subject | Maths |
| Chapter Number | Chapter 7 |
| Chapter Name | Shapes and Patterns |
| Book Name | Math Mela |
| Book By | NCERT (National Council of Educational Research and Training) |
| Educational Resource Here | NCERT Solutions of Class 5 Maths Chapter 7 for all exercises |
| More Questions Answers of This Subject | NCERT Solutions for Class 5 Maths |
| Download Book Chapter | NCERT Book Class 5 Maths |
| All Questions Answers For This Class | NCERT Solutions for Class 5 |
| Complete Solutions | NCERT Solutions |
NCERT Solutions for Class 5 Maths Chapter 7 Shapes and Patterns – FAQs
What are the NCERT Solutions for Class 5 Maths Chapter 7 Shapes and Patterns?
They are the complete, step-by-step answers to all the exercise and in-text questions of Chapter 7 Shapes and Patterns from the NCERT Class 5 Maths textbook Math Mela, written by experts as per the latest NCERT syllabus.
How can I download the Class 5 Maths Chapter 7 solutions PDF for free?
Open this page on aglasem, read the Shapes and Patterns questions with answers, and click the “Download Solutions PDF” link. The Class 5 Maths Chapter 7 NCERT Solutions PDF is completely free to download.
Are these NCERT Solutions as per the latest 2026-27 syllabus?
Yes. The NCERT Solutions for Class 5 Maths Chapter 7 are based on the latest NCERT textbook Math Mela and the current 2026-27 CBSE syllabus, so the questions and answers match what you study in class.
Where can I get NCERT Solutions for the other chapters of Class 5 Maths?
You can find the answers to every chapter on the NCERT Solutions for Class 5 Maths page, and solutions for every subject on the NCERT Solutions for Class 5 page.
How do NCERT Solutions help in exam preparation?
They show the correct method to solve each question, help you write answers the way they are expected in exams, let you check and correct your own work, and save revision time — which together improve your marks in Class 5 Maths.
If you have any queries on NCERT Solutions for Class 5 Maths Chapter 7 Shapes and Patterns, then please ask in the comments below.
