NCERT Solutions Class 5 Maths Chapter-7 Can You See The Pattern

NCERT Solutions Class 5 Maths Chapter-7 Can You See The Pattern, is provided here by our subject experts for primary students to practice well for their exams. These materials are prepared as per the CBSE syllabus(2020-2021) prescribed for class 5.

NCERT solutions class 5 books is a simple maths book written for 5th-grade students. NCERT (National Council of Educational Research and Training) is an independent concern which was set up in the year 1961 by the Indian Government to aid and advise the State and Central Governments on the strategies to improve the quality of the education.

NCERT Solutions for Class 5 Maths Chapter 7 Can You See The Pattern:-Download PDF Here

NCERT Solutions For Class 5 Maths Chapter 7 Can You See the Pattern
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Access NCERT Class 5 Maths Chapter 7 Can You See The Pattern

Page: 99

1.

NCERT Solutions For Class 5 Maths Chapter 7 Image 1

NCERT Solutions For Class 5 Maths Chapter 7 Image 2

NCERT Solutions For Class 5 Maths Chapter 7 Image 3

NCERT Solutions For Class 5 Maths Chapter 7 Image 4

2. What should come next?

(a)

NCERT Solutions For Class 5 Maths Chapter 7 Image 5

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 6

(b)

NCERT Solutions For Class 5 Maths Chapter 7 Image 7

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 8

(c)

NCERT Solutions For Class 5 Maths Chapter 7 Image 9

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 10

(d)

NCERT Solutions For Class 5 Maths Chapter 7 Image 11

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 12

3. See this pattern

(a)

NCERT Solutions For Class 5 Maths Chapter 7 Image 13

NCERT Solutions For Class 5 Maths Chapter 7 Image 14

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 15

4. Using the same rule take it forward till you get back to what you started with.

(a)

NCERT Solutions For Class 5 Maths Chapter 7 Image 16

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 17

(b)

NCERT Solutions For Class 5 Maths Chapter 7 Image 18

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 19

NCERT Solutions For Class 5 Maths Chapter 7 Image 20

NCERT Solutions For Class 5 Maths Chapter 7 Image 21

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 22

NCERT Solutions For Class 5 Maths Chapter 7 Image 23

6. Mark that picture which is breaking the rule. Also correct it.

(a)

NCERT Solutions For Class 5 Maths Chapter 7 Image 24

Solution:-

The below marked picture is breaking the rule.

NCERT Solutions For Class 5 Maths Chapter 7 Image 25

(b)

NCERT Solutions For Class 5 Maths Chapter 7 Image 26

Solution:-

The below marked picture is breaking the rule.

NCERT Solutions For Class 5 Maths Chapter 7 Image 27

(c)

NCERT Solutions For Class 5 Maths Chapter 7 Image 28

Solution:-

The below marked picture is breaking the rule.

NCERT Solutions For Class 5 Maths Chapter 7 Image 29

(d)

NCERT Solutions For Class 5 Maths Chapter 7 Image 30

Solution:-

The below marked picture is breaking the rule.

NCERT Solutions For Class 5 Maths Chapter 7 Image 31

7. Magic Squares

Do you remember magic triangles? Come now, let’s make some magic squares.

(i) Fill this square using all the numbers from 46 to 54.

Rule: The total of each line is 150.

NCERT Solutions For Class 5 Maths Chapter 7 Image 32

Solution:-

From the question it is give that, total of each line is equal to 150.

So, let us take third row,

From the rule, + 52 + 47 = 150

+ 99 = 150

= 150 – 99

Therefore, number in the first box in third row = 51

Now, let us take first column,

From the rule, + 46 + 51 = 150

+ 97 = 150

= 150 – 97

Therefore, number in the first box in first column = 53

Let us take first row,

From the rule, 53 + + 49 = 150

+ 102 = 150

= 150 – 102

Therefore, number in the second box in first row = 48

Let us take second column,

From the rule, 48 + + 52 = 150

+ 100 = 150

= 150 – 100

Therefore, number in the second box in second column = 50

Let us take third column,

From the rule, 49 + + 47 = 150

+ 96 = 150

= 150 – 96

Therefore, number in the second box in third column = 54

NCERT Solutions For Class 5 Maths Chapter 7 Image 33

(ii) Fill this square using all the numbers from 21 to 29.

Rule: The total of each side is 75.

NCERT Solutions For Class 5 Maths Chapter 7 Image 34

Solution:-

From the question it is give that, total of each line is equal to 75.

NCERT Solutions For Class 5 Maths Chapter 7 Image 35

8. Magic Hexagons

Look at the patterns of numbers in hexagons. Each side has 2 circles and 1 box.

NCERT Solutions For Class 5 Maths Chapter 7 Image 36

Look at the number 65 in the box. Which are the circles next to it? Can you see how the rule works?

NCERT Solutions For Class 5 Maths Chapter 7 Image 37

Solution:-

The circles next to 65 are 5 and 13.

NCERT Solutions For Class 5 Maths Chapter 7 Image 38

The rule of this method is we get the number in each box by multiplying the numbers in the circles next to it.

(i) Use the same rule to fill the hexagons below.

(a)

NCERT Solutions For Class 5 Maths Chapter 7 Image 39

NCERT Solutions For Class 5 Maths Chapter 7 Image 40Solution:-

11 × 9 = 99

11 × 6 = 66

6 × 17 = 102

17 × 7 = 119

9 × 12 = 108

12 × 7 = 84

(b)

NCERT Solutions For Class 5 Maths Chapter 7 Image 41

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 424 × 16 = 64

16 × 8 = 128

8 × 8 = 64

13 × 8 = 104

13 × 6 = 78

9. Numbers and Numbers

NCERT Solutions For Class 5 Maths Chapter 7 Image 43

(i) Are they equal?

Solution:-

Yes, the mentioned equation are equal.

Because, let us consider left hand side (LHS) of first equation = 24 + 19 + 37

LHS = 80

Now, Right hand side (RHS) = 37 + 24 + 19

RHS = 80

By comparing LHS and RHS,

LHS = RHS

Then consider second equation, LHS = 215 + 120 + 600

LHS = 935

Now, RHS = 600 + 215 + 120

= 935

By comparing LHS and RHS,

LHS = RHS

(ii) Fill in the blank spaces in the same way.

(a)

NCERT Solutions For Class 5 Maths Chapter 7 Image 44

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 45

(b)

NCERT Solutions For Class 5 Maths Chapter 7 Image 46

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 47

(c)

NCERT Solutions For Class 5 Maths Chapter 7 Image 48

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 49

(iii) Now,look at this-

NCERT Solutions For Class 5 Maths Chapter 7 Image 50

Check if it is true or not.

Solution:-

First consider the left hand side (LHS) = 48 × 13

LHS = 624

Now consider right hand side (RHS) = 13 × 48

RHS = 624

By comparing LHS and RHS,

LHS = RHS

(iv) Now you try and change these numbers into special numbers

(a) 28

Solution:-

Take another number 28

Now turn it back to front 82

Then add them together 110

Is this a special number? No! Why not?

OK, carry on with the number 110

Again turn it back to front 011

Then add the two together 121

Ah! 121 is a special number.

(b) 132

Solution:-

Take another number 132

Now turn it back to front 231

Then add them together 363

Ah! 363 is a special number.

(c) 273

Solution:-

Take another number 273

Now turn it back to front 372

Then add them together 645

Is this a special number? No! Why not?

OK, carry on with the number 645

Again turn it back to front 546

Then add the two together 1191

Is this a special number? No! Why not?

OK, carry on with the number 1191

Again turn it back to front 1911

Then add the two together 3102

Is this a special number? No! Why not?

OK, carry on with the number 3102

Again turn it back to front 2013

Then add the two together 5115

Ah! 5115 is a special number.

(v) Now let’s use words in a special way.

NCERT Solutions For Class 5 Maths Chapter 7 Image 51

Did you notice that it reads the same from both sides — right to left and left to right?

Solution:-

EYE, LEVEL, ROTATOR, NOON, REFER, TOP SPOT etc.

10. Some more Number Patterns

(i) Take any number. Now multiply it by 2, 3, 4 …………… at every step. Also add 3 to it at each step. Look at the difference in the answer. Is it the same at every step?

NCERT Solutions For Class 5 Maths Chapter 7 Image 52

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 53

Let us check difference in the answer, 39 – 27 = 12, 51 – 39 = 12, 63 – 51 = 12,

75 – 63 = 12, 87 – 75 = 12, 99 – 87 = 12, 111 – 99 = 12.

Therefore, the difference in the answer are same at every step.

(ii) Look at the numbers below. Look for the pattern. Can you take it forward?

NCERT Solutions For Class 5 Maths Chapter 7 Image 54

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 55

11. Smart Adding

NCERT Solutions For Class 5 Maths Chapter 7 Image 56

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 57

(ii) Did you notice some pattern in the answers?

Solution:-

Yes, I found that the difference in the answer are same i.e. 100 at every step.

12. Fun with Odd Numbers

Take the first two odd numbers. Now add them, see what you get. Now, at every step, add the next odd number. How far can you go on?

NCERT Solutions For Class 5 Maths Chapter 7 Image 58

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 59

We can’t predict, because there are infinite numbers.

13. Secret Numbers

Banno and Binod were playing a guessing game by writing clues about a secret number. Each tried to guess the other’s secret number from the clues. Can you guess their secret numbers?

(i) It is larger than half of 100

It is more than 6 tens and less than 7 tens

The tens digit is one more than the ones digit

Together the digits have a sum of 11

Solution:-

It is larger than half of 100, i.e. number > 100

It is more than 6 tens and less than 7 tens = so, number lies between 70 and 60

The tens digit is one more than the ones digit = 6 – 1 = 5

Together the digits have a sum of 11 = 6 + 5 = 11

Therefore the number is 65

(ii) It is smaller than half of 100

It is more than 4 tens and less than 5 tens

The tens digit is two more than the ones digit

Together the digits have a sum of 6

Solution:-

It is smaller than half of 100 = number > 100

It is more than 4 tens and less than 5 tens = number lies between 40 and 50

The tens digit is two more than the ones digit = 4 – 2 = 2

Together the digits have a sum of 6 = 4 + 2 = 6

Therefore the number is 42

14. Number Surprises

a) Ask your friend rite — W down your age. Add 5 to it. Multiply the sum by 2. Subtract 10 from it. Next divide it by 2. What do you get? Is your friend surprised?

Solution:-

Let us assume the age be 11,

Then, adding 5 to it we get = 16

Multiply by 2 we get = 32

Subtract from 10 we get = 22

Divided by 2 we get = 11

Yes, my friend was really surprised.

NCERT Solutions For Class 5 Maths Chapter 7 Image 60

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 61

NCERT Solutions For Class 5 Maths Chapter 7 Image 62

Solution:-

NCERT Solutions For Class 5 Maths Chapter 7 Image 63

NCERT Solutions For Class 5 Maths Chapter 7 Image 64

Solution:-

1 = 1 × 1

121 = 11 × 11

12321 = 111 × 111

1234321 = 1111 × 1111

123454321 = 11111 × 11111

12345654321 = 111111 × 111111

1234567654321 = 1111111 × 1111111

1234567654321 = 1111111 × 1111111

1234567654321 = 1111111 × 1111111

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