Symmetrical Designs Class 5 Maths Worksheet with Quiz and Activities
Find lines of symmetry in letters, spin a windmill firki, explore half turns and quarter turns, and print designs with a block. On WitKnowLearn you get the Symmetrical Designs Class 5 online quiz, online activities and interactive games, a turn lab, a virtual lab and a worksheet-style practice sheet for NCERT Math Mela Chapter 10.
Symmetrical Designs Class 5 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Symmetrical Designs Class 5 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Symmetrical Designs: the Firki and Block Print Story
A short read for Class 5 before you play. These notes follow Chapter 10 of NCERT Math Mela.
🔤 Letters that fold
Fold the letter A down the middle and the halves match. H folds both up-down and left-right. N cannot be folded onto itself.
🪁 The windmill firki
A firki with 4 equal blades looks the same after each quarter turn. Only the colours show how far it has turned.
🔄 Half turn and quarter turn
A half turn is 180 degrees and a quarter turn is 90 degrees. The letter N looks the same after a half turn even though it has no fold line.
🔢 Digits and numbers
0 and 8 look the same upside down, and 6 and 9 swap. So 69 reads 69 again after a half turn.
🎨 Block printing
Stamp a motif, turn the block a quarter turn, and stamp again. Four prints make a design that looks the same after each quarter turn.
✂️ Fold and cut
Cut half a shape on a fold and open it. The fold is the line of symmetry of your new design.
Symmetrical Designs Class 5 Activities
Fold and turn designs on the Number Train. Earn up to 3 stars in every activity.
This page follows NCERT Class 5 Maths Math Mela, Chapter 10. Children find lines of symmetry in letters, learn about half turns and quarter turns, explore symmetry in digits and numbers, and make designs with block printing and paper cutting.
The activities turn each idea into a game. Children sort letters by their lines, pop true facts, match words, fill gaps and solve craft stories. Explore more Class 5 maths worksheets on WitKnowLearn after this chapter.
Formulas and facts to know
| Letter | Lines of symmetry | Half turn |
|---|---|---|
| A | 1 vertical | Different |
| E | 1 horizontal | Different |
| H | 2 | Same |
| N | 0 | Same |
How to use this page
- Flip the six cards and try the Turn Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
One vertical fold and one horizontal fold both match, so H has 2 lines of symmetry.
It looks the same 6 times in one full turn, once every 60°.
6 becomes 9 and 9 becomes 6, and they swap places, so the number reads 69 again.
This Symmetrical Designs worksheet for Class 5 maths gives you online activities and interactive games that make symmetry fun. Every activity has a goal, a hint and a short fact, so children learn while they enjoy.
Complete Guide: NCERT Class 5 Maths Symmetrical Designs Chapter 10
This guide is for Class 5 students, parents and teachers. It covers Chapter 10 of NCERT Math Mela and shows how to use the quiz, labs and games on this page.
Introduction to Symmetrical Designs
The chapter studies symmetry through alphabet cutouts, a windmill firki, digits and numbers, and block printing. Children use folds and turns to describe and build designs.
What is there in this chapter
- Lines of symmetry in letters.
- Folding and cutting paper designs.
- The windmill firki and quarter turns.
- Half turn symmetry of letters and digits.
- Symmetry in numbers.
- Designs with half turn and quarter turn symmetry.
- Square and triangle designs.
- Block printing with a motif.
Learning objectives
- Find lines of symmetry in letters and shapes.
- Use half turns and quarter turns.
- Find letters and numbers that look the same after a turn.
- Build designs by repeating a motif with equal turns.
- Reason about assertions and case studies.
Learning outcomes
- The child can say that H has two lines of symmetry.
- The child can say that a quarter turn is 90°.
- The child can find that 69 looks the same after a half turn.
- The child can solve a case study on block prints.
Symmetrical Designs Class 5 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Turn Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments with aim, procedure, observation table and conclusion |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Line of symmetry | A fold with two matching halves. |
| Quarter turn | 90°, and 4 make a full turn. |
| Half turn | 180°, and 2 make a full turn. |
| Equal parts | N parts look the same N times. |
| Motif | A shape repeated in a design. |
Types of questions you may see
- Count the lines of symmetry of a letter.
- Find letters or numbers that look the same after a half turn.
- Find the turn needed for a design.
- Assertion and reason questions.
- Case study questions on cutouts and block prints.
Solved examples
It folds on one horizontal line, so it has 1 line of symmetry.
It looks the same, although S has no line of symmetry.
4 prints complete a full turn.
Each digit turns and the order swaps, so it reads 96.
The opened design has 2 matching halves.
It looks the same 10 times in a full turn, once every 36°.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Thinking every letter with a line also has half turn symmetry. | A has a line but looks different after a half turn. |
| Counting a diagonal of a rectangle as a line of symmetry. | Only the vertical and horizontal folds match. |
| Forgetting that digits swap places in a number. | A half turn reverses the order of the digits. |
| Calling a half turn 90°. | A half turn is 180°. |
Symmetrical Designs in daily life
Symmetry shows up in rangoli, textile prints, logos, windmill toys and paper cutouts. Spotting folds and turns helps children see how designs are made.
Tips for parents and teachers
- Fold and cut paper shapes together.
- Use a mirror to check a line of symmetry.
- Print with a potato or a vegetable block.
- Practise one assertion and one case study each week.
Related Class 5 Maths Worksheets
- 🚆We the Travellers I Class 5 (NCERT Chapter 1)
- 🍕Fractions Class 5 (NCERT Chapter 2)
- 🔄Angles as Turns Class 5 (NCERT Chapter 3)
- 🗺We the Travellers II Class 5 (NCERT Chapter 4)
- 📏Far and Near Class 5 (NCERT Chapter 5)
- 🐄The Dairy Farm Class 5 (NCERT Chapter 6)
- 🔷Shapes and Patterns Class 5 (NCERT Chapter 7)
- ⚖Weight and Capacity Class 5 (NCERT Chapter 8)
- 🥥Coconut Farm Class 5 (NCERT Chapter 9)
- 🪞Symmetry and Patterns Class 5
- 📐Geometry Class 5
- 📐Angles Class 5
Symmetrical Designs Class 5 FAQs
What is Chapter 10 of NCERT Class 5 Maths Math Mela?
Chapter 10 is Symmetrical Designs. It covers lines of symmetry in letters and shapes, rotational symmetry with half turns and quarter turns, symmetry in digits and numbers, and making designs with block printing.
What is symmetry in maths for Class 5?
A shape is symmetrical when it can be folded or turned so that it looks exactly the same. The two kinds in this chapter are line symmetry, which uses a fold, and rotational symmetry, which uses a turn.
What is a line of symmetry?
A line of symmetry is a fold line that splits a shape into two matching halves, like a mirror. The letter A has one vertical line of symmetry and the letter H has two lines.
Which letters have lines of symmetry?
A, T and M have a vertical line. B, C, D and E have a horizontal line. H, I, O and X have both a vertical and a horizontal line. F, G, N, S and Z have no line of symmetry.
What is rotational symmetry?
A shape has rotational symmetry when it looks the same after a turn of less than a full turn about its centre. A windmill firki with 4 equal blades looks the same after each quarter turn.
What is a half turn and a quarter turn?
A full turn is 360 degrees. A half turn is 180 degrees and a quarter turn is 90 degrees. Two quarter turns make a half turn and four quarter turns make a full turn.
Which letters look the same after a half turn?
H, I, N, O, S, X and Z look the same after a half turn. A, E and T look different after a half turn. Some letters have a line of symmetry but no half turn symmetry, like A.
Which digits have symmetry?
The digits 0 and 8 have a vertical and a horizontal line and look the same after a half turn. The digit 3 has one horizontal line. The digits 6 and 9 turn into each other after a half turn.
Which numbers look the same after a half turn?
Numbers made of the digits 0, 1 and 8, like 88 and 808, look the same after a half turn. Numbers like 69 also look the same, because 6 and 9 swap places and turn into each other.
What is block printing in Class 5 maths?
Block printing stamps a carved motif again and again on cloth or paper. Turning the block by equal turns, such as a quarter turn each time, builds a symmetrical design around a point.
How do you make a symmetrical design by folding and cutting?
Fold a paper in half, draw half of a shape with its centre on the fold, cut along it and open the paper. The fold is the line of symmetry and the two halves match exactly.
What can children do on this page?
Children can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Turn Lab and two virtual experiments, and fill in a 16-question practice sheet with a Show answers button.
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