NCERT Workbook Solutions For Class 3 Chapter 9 Patterns And Symmetry

NCERT Workbook Solutions For Class 3 Chapter 9 Patterns And Symmetry

Concept Review Introduction

We can see a lot of patterns in nature. Patterns are designs which follow a similarity or repetition. These can be figures, numbers or letters.

• Understanding number patterns in math helps us to develop our mental skills and relationships. Patterns give a sense of order and aesthetics.
• Similarly, shapes have symmetry when you draw a line that divide them in equal parts. A circle is same on both sides if you fold it along its diameter.

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NCERT Workbook Solutions For Class 3 Patterns And Symmetry Patterns

patterns are continuous repetitions. we can see many patterns in nature and manmade objects around us.

Patterns In Nature

Man-made Patterns

Number Patterns

Pattern In Numbers Can Be Based On Any One Of The Operations- Addition, Subtraction, Multiplication Or Division. It Can Also Be A Combination Of The Operations.

Question 1. Observe the given sequence. 12, 14, 16, ? What will be the next number in place of (?) in the series?
Answer:

12 + 2 = 14, 14 + 2 = 16, 16 + 2 = 18

The missing number is 18.

Question 2. Complete the pattern. 1, 4, ?, 16
Answer: 1, 1+ 3 = 4, 4+ 5 = 9, 9 +7 = 16

The missing number is 9.

Question 3. Observe the series given below and find the missing number. 55, 66, 77, ?
Answer: 11 × 5, 11 × 6, 11 × 7, 11 × 8 = 88

The missing number is 88.

Question 4. Complete the given series. 300, 250, ?, 150
Answer:

300-50=250, 250-50=200, 200-50=150

The missing number is 200.

Patterns in addition and multiplication are called growing patterns and the value of the numbers increases. Patterns in subtraction and division are called shrinking patterns as the value in these patterns keeps decreasing.

Letter patterns

Patterns can be formed with the letters of the English alphabet.

Question 5. Observe the given sequence and find the missing set of alphabets.
Answer:

1. A → Next alphabet B is repeated twice
2. After B it is C Next alphabet D is repeated twice
3. After D it is E Next alphabet F is repeated twice.

The missing pattern is EFF

ln letter pattern, numbers can be included by learning position of English alphabets

Question 6. If MOON is written as 13151514, then how position of PLANET is written?
Answer:

Planet is written as 1612114520

Patterns In Figures

We can find patterns even in figures. The missing pattern can be found by understanding the rule in the pattern

The missing pattern is

Question 7. Complete the pattern:

Answer:

ln the given pattern of figures,

Step 1-Six triangles

Step2-Five triangles

Step3-Four triangles

Step4-Three triangles

Step 5 – It should be two triangles, as

NCERT Workbook Solutions For Class 3 Patterns And Symmetry Patterns

Question 1. Choose the correct alternative.

1. Complete the series. 14, 11, 13, 10,12, ▭, ▭

1. 11, 9
2. 9, 11
3. 10, 8
4. 8, 10

Answer: 2. 9, 11

2. Find the missing number in the given pattern of figures

1. 129
2. 130
3. 63
4. 145

Answer: 3. 63

3. If 19-21-14 is ‘SUN’, then 13-1-18-19 is

1. Nest
2. Mars
3. Best
4. Fast

Answer: 2. Mars

5. Complete the following growing pattern.

Answer: 4.

6. Find the value of A, B and C in the given pattern.

Answer: 3.

8. Give the next two terms of the given series.

ACE FHJ KMO ____, _____

1. PRT, UWY
2. PRS, TVX
3. QSU, VXZ
4. NPR, SUW

Answer: 2. PRS, TVX

Question 2 . State whether the following statements are True or False.

1. If we start with 14 and skip count by 10, two places after 14 will be 44
Answer: False

2. Decreasing patterns are formed by subtraction and division of numbers.
Answer: True

Question 4. Fill in the blanks

Spot the pattern and then fill in the missing patterns.

1. Write the next 3 numbers in this pattern

Answer: 1, 2, 3

Question 5. Very Short Answer Type Questions.

1. Make the series by following the pattern:

1. AZCYEX  __________

Answer:

1. AZCYEXGWIVKVMUOTQSR

2. Complete the given pyramids. First one is given as an example

Answer:

3. Draw next figure in the given patterns.

Answer:

NCERT Workbook Solutions For Class 3 Patterns And Symmetry Symmetry

The Balanced, Proportional, Similarity Found On Two Halves Of An Object Is Called Symmetry. One Half Will Be The Mirror Image Of The Other. We Can Find Symmetry In Different Shapes In Our Daily Life.

Symmetry Along A Line

The imaginary line through which a shape or object is symmetrical, is called the line of symmetry. The object has exactly two mirror halves along the line of symmetry.

Symmetry In Alphabets Of English

Reflection Symmetry

When one half of an image or object is exact reflection of the other half, it is called reflection symmetry. It can be along a vertical or horizontal plane.

When there is a difference between the object and its image, then there is no symmetry. Generally, the left and right sides of an object appear inverted in the mirror image. Letters written from right to left appear left to right in a mirror image.

Tessellation

Tessellation Or Tiling Is Covering A Surface Using One Or More Geometric Shapes Repeatedly, Without Any Overlap. One Can See Them In Floors Or Walls.

Tiling With Geometrical Shapes

NCERT Workbook Solutions For Class 3 Patterns And Symmetry Symmetry

Question 1. Choose the correct alternative.

1. Identify the symmetrical pair of

Answer: 3.

2. Identify the number which has both horizontal and vertical symmetry

1. 10
2. 3
3. 8
4. 9

Answer: 3. 8

3. Identify the word which is its own mirror image.

1. WON
2. SUN
3. DO
4. MOM

Answer: 4. MOM

4. The total number of shaded squares with the mirror image will be?

1. 10
2. 12
3. 14
4. 16

Answer: 4. 16

5. The polygon formed by mirror image of the figure  is

1. Pentagon
2. Rectangle
3. Hexogen
4. Square

Answer: 1. Pentagon

Question 2. Match the Column-1 with Column-2.

Identify the symmetrical shapes

1. 1 → (D), 2 → (A), 3 → (B), 4 → (E),  5 → (C)
2. 1 → (C), 2 → (A), 3 → (E), 4 → (2), 5 → (D)
3. 1 → (E),   2 → (A), 3 → (D), 4 → (B), 5 → (C)
4. 1 → (B),  2 → (D), 3 → (A), 4 → (E), 5 → (C)

Answer: 1. 1 → (D), 2 → (A), 3 → (B), 4 → (E), 5 → (C)

Question 3. State whether the following statements are True or False.

1. Circle has infinite lines of symmetry
Answer: False

2. All objects have a symmetrical mirror image.
Answer: True

Question 4. Very Short Answer Type questions.

1. Write the number of symmetrical parts in the given shape.

_________ Two Symmetry

__________ Four Symmetry