CBSE Class 5 Maths Worksheet Chapter 7 Can You See Patterns - PDF

1. Fill in the blanks.

1. $82 \times \ldots \ldots=\ldots \ldots \times 45$

2. $46+\ldots . .=\ldots \ldots+89$

3. $45+15+\ldots \ldots=45+36+\ldots .$

4. $45 \times \ldots \times 89=15 \times \ldots . \times 45$

5. $A, D, G, \ldots ., M, P$

2. Complete the Series.

36, 46, 56, 66, 76, …, …., …..

3. Complete the Pattern

AB, BC, CD, DE, ….., ….., ….., ……

4. Look at the pattern of the number and take it forward.

$1 \times 1=1$

$11 \times 11=121$

$111 \times 111=12321$

$1111 \times 1111=! ! ! ! !$

5. You will get the number in each bracket by multiplying the number on both side on the box.

6. Use all of the numbers between 46 and 54 to fill in the square. 150 is the sum of each line.

7. What should happen next?

8. What should happen next?

9. What should happen next?

10. Look at this pattern and guess the correct option.

11. Find the incorrect number in the pattern provided.

13, 26, 39, 52, 66, 78, 91, 104, 117

1. 39

2. 66

3. 52

4. 117

12.  Find the incorrect number in the pattern provided.

ae, bf, cg, dh, ek, fj

1. ae

2. cg

3. ek

4. fj

13. Find the incorrect number in the pattern provided.

16, 25, 36, 49, 64, 81, 1000

1. 1000

2. 25

3. 36

4. 49

14. Complete the Series.

a, e, …..,  o, u

15. Complete the given pattern by filling in the next number.

December, October, August, June,......., ………

16. Complete the given pattern by filling in the next number.

A1B, C2D, E3F, G4H,........

17. Complete the given pattern by filling in the next number.

777, 666, 555, 444,..........

18.  Find the missing number in the given series 13, 24, 46, 90, 178, ?.

19. Find the missing number in the given series 4, 18, ___, 100, 180, 294, 448.

20. Complete the given pattern by filling in the next number.

ZA, YB, XC, WD,.........

Answers to the Worksheet:

1. Below are the correct fill in the blanks:

1. $82 \times \underline{45} = \underline{82} \times 45$

2. $46 + \underline{89} = \underline{46} + 89$

3. $45+15+ \underline{36} =45+36+ \underline{15}$

4. $45 \times \underline{15} \times 89=15 \times \underline{89} \times 45$

5. $A, D, G,$ $\underline{J},$  $M, P$ 

2. Here from the pattern we can see that there is the addition of 10 with each successive term.

Hence, on completing the series, we get

$36, 46, 56, 66, 76, \underline{86}, \underline{96}, \underline{106}$

3. Here from the pattern it can be seen that each AB is followed by 1 place forward. i.e. A will become B and B will become C. So AB followed by BC then CD and so on.

Hence, the pattern will become:

$AB, BC, CD, DE, \underline{EF}, \underline{FG}, \underline{GH}$

4. Look at the pattern of the number and take it forward.

$1 \times 1=1$

$11 \times 11=121$

$111 \times 111=12321$

$1111 \times 1111= \underline{1234321}$

5. You will get the number in each bracket by multiplying the number on both side on the box.

6. Here, we will use all of the numbers between 46 and 54 to fill in the square. As 150 is the sum of each line.

7. The correct pattern will become

8. The correct pattern will become

9. The correct pattern will become

10. The correct pattern will become option c.

11. Correct option: (b)

Here, in this question we have to find the incorrect number in the pattern provided.

13, 26, 39, 52, 66, 78, 91, 104, 117

So as per the pattern,

13 + 13 = 26

26 + 13 = 39

39 + 13 = 52

52 + 13 = 65

65 + 13 = 78

78 + 13 = 91

91 + 13 = 104

104 + 13 = 117

Therefore, 66 is the number that is wrong in the given pattern.

12.  Here, in this question we have to find the incorrect number in the pattern provided.

ae, bf, cg, dh, ek, fj

So as from the table we can see that the ek is not following the pattern.

Hence, ek is the correct answer. i.e. option (c).

13.  Correct option: (a)

In this question, we need to find the incorrect number in the pattern provided.

16, 25, 36, 49, 64, 81, 1000

As,

$4 \times 4=16$

$5 \times 5=25$

$6 \times 6=36$

$7 \times 7=49$

$9 \times 9=81$

$10 \times 10=100$

Therefore, 1000 is the number that is wrong in the given pattern.

14. In this question, we have to complete the Series.

a, e, __, o, u

If we look at the English vowels, it can be like this;

a, e , i, o, u

15. December, October, August, June, April,......, …….

Months: January, February, March, April, May, June, July, August, September, October, November, December.

Here the four months of the year have been told, on the basis of which this pattern can be made. By counting from December in reverse pattern one month is skipped.

December, October, August, June, April, February.

16. A1B, C2D, E3F, G4H, I5J, K6L, M7N.

Here, the pattern is as following:

In 1st letter, there is the gap of one alphabet. i.e. A, C, E, G, I, K, M …

In 2nd letter, there is no gap in counting. i.e. 1, 2, 3, 4, 5, 6, 7…

In 3rd letter, there is the gap of one alphabet. i.e. B, D, F, H, J, L, N …

Therefore, the sequence will be: A1B, C2D, E3F, G4H, I5J, K6L, M7N.

17. $777, 666, 555,444, \underline{333}, \underline{222}, \underline{111}$

Here, the pattern is as following:

From 1st digit to 3rd digit, there is the gap of one digit in decreasing manner. i.e. 777, 666, 555, 444, 333, 222, 111

Therefore, the sequence will be: 777, 666, 555, 444, 333, 222, 111.

18. Given series: 13, 24, 46, 90, 178, ?.

24 – 13 = 11

46 – 24 = 22

90 – 46 = 44

178 – 90 = 88

The logic used here is that the difference between two successive numbers is doubled consecutively.

So, if 88 is doubled, we get 176.

Hence, 178 + 176 = 354.

Thus, the missing term in the sequence is 354.

Therefore, the complete series is 13, 24, 46, 90, 178, 354.

19. The given sequence is obtained as follows:

$2^3-2^2=8-4=4$

$3^3-3^2=27-9=18$

$4^3-4^2=64-16=48$

$5^3-5^2=125-25=100$

$6^3-6^2=216-36=180$

$7^3-7^2=343-49=294$

$8^3-8^2=512-64=448$

Hence, the missing number in the series is 48.

Therefore, the complete series is $4,18, \underline{48},100,180,294,448$.

20. ZA, YB, XC, WD, VE, UF, TG, SH

If we pay attention to the English alphabet, then we will find that the first character of this series is the alphabet starting from the back of the English,

Z,Y,X,W,V,T,S……

and the second letter starts from the beginning.

A,B,C,D,E,......

Importance of Class 5 Maths Chapter 7 Worksheet On Patterns

Patterns are the heart and soul of Maths and are crucial to our understanding of the world around us. Patterns help children in expanding their fundamental idea into a variety of spheres and gain the ability to use reasoning skills and make logical connections.

• As per research, when children learn and explore the concept of patterns, it lays the foundation for more complex numbers and mathematical operations in later years.

• You can become a strong mathematician by creating, naming, and extending patterns.

• You can make predictions based on your observations once you gain the capability to create and recognize patterns.

• By learning patterns, you can identify relationships and develop generalisations.

• Patterns exist not only in Maths but also in music, nature, literature, and art. Patterns give us a sense of order in an otherwise chaotic world.

• We can make educated guesses, hypotheses, and assumptions by understanding recurring patterns. This further helps in developing essential skills like logic and critical thinking.

• The knowledge of patterns opens many doors as it can be applied and transferred into almost all curriculum areas.

• Patterns are also the basis of algebra as it involves a lot of data analysis which has a strong relationship with pattern understanding. 

• One can help endangered species by understanding their reproduction patterns.

• Patterns in weather can also predict the weather for a week, which helps in taking appropriate measures in emergency situations.

Examples of Class 5 Maths Chapter 7 Worksheet - Can You See Patterns

The chapter on patterns in Class 5 has exercises on different types of patterns such as shapes, numbers, words, etc. Some of them are illustrated below:

1. Which number comes next?

• 2, 4, 6, 8,?

• 1, 3, 5, 7,?

• 3, 9, 27, 81,?

2. Which shape will come next?

3. Fill in the blanks:

• 40 * ___ = 20 * ___

• 30 + ___ + 15 = 25 + 20 + ___

4. Identify the missing term in the series:

A, C, B, D, C, E,?

• D

• B

• A

• F

5. Which pair of letters would replace the question mark?

AP, CO, EN, GM, IL, ?

• KJ

• JK

• LK

• KK

A Few Interesting Facts about Maths Patterns for Class 5

• Fibonacci series is a type of complex pattern where the first two numbers are 0 and 1, and after that, the series is formed by adding the two numbers prior to the current one.

• Design patterns are applicable in Computer Science, where they help in providing solutions to common problems in designing software.

• Pareidolia is a Greek word that describes a phenomenon where humans can see patterns even when there are none.

• Pascal's triangle exhibits many patterns and properties, such as the number of odd numbers in the nth row of the triangle is equal to 2 raised to the power of the number of ones in the binary expansion of n.

• In 1968, Donovan Johnson, the president of the National Council of Teachers of Mathematics, wrote an article where he compared a musical composition to Maths because the patterns and logic in Maths fit together like pieces of a song.

Important Topics of Number Patterns in Maths for Class 5

• Learn patterns in different forms.

• Learn how a pattern looks when rotated at an angle of 90 degrees.

• Identify how a pattern changes through clockwise movements.

• Understand how a pattern can be divided into stages and have rules associated with it.

• Complete practice exercises on all the different types of patterns presented in the chapter.

• Learn how to multiply in a fun way through magic hexagons.

Can You See the Pattern Class 5 Worksheets PDF - Grab Your Free Copy

• Vedantu has a stellar team of experts who have in-depth knowledge through extensive research and have formulated all the patterns in an easily comprehensible manner.

• The PDF has many solved examples and practice exercises on different pattern types, which will give ample practice to students so that they can solve all sorts of problems pertaining to patterning.

• The content of Vendatu's website adheres to the CBSE curriculum, and the team is always up to date with the latest changes. Hence, it is a valuable resource for students to ace their Maths exams.

• The PDF can be downloaded on your device for a quick reference on the go.

• You could also print the PDF and carry it with you to go through all the formulas before your exam.

Patterns form the basis of numeracy skills and are crucial in understanding numbers and Maths. By mastering this concept through a well-explained Can You See The Pattern Class 5 Worksheets PDF by Vedantu, students can rest assured of solving any complex problem on this topic.