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Math-Magic Solutions for Class-5, Chapter-7: Can You See The Pattern?

The chapter Can You See The Pattern? focuses on dealing with identifying patterns on given sequences. It helps the students to understand how to recognise patterns and point them out in any given situation.

It covers the topics:

Patterns in Shapes |
Patterns in Numbers |

Patterns in alphabets |

Patterns in Shapes |

Patterns in Numbers |

NCERT Math-Magic questions are answered in a simple and engaging manner. We have also related 'Learning Concepts and interactive worksheets with the solutions. Our 'Learning Beyond' segment caters to all the probable questions that a child might think out of curiosity.

Download Chapter 7 Can You See The Pattern? in PDF format for free here.

**Chapter 7: Can You See The Pattern?**

**Question 1 : **

Now you use these two rules to make patterns with this block.

**Answer : **Observe the patterns in the given pictures. In the first picture the
shapes are turning by 180o while in the second picture the shapes are
turning by 90o

. Therefore, the correct answer is:

**Question 2 : **What should come next?

a)

b)

c)

d)

**Answer : **

a) Observe the pattern in the given shapes. Each shape is one-fourth
rotation of the previous shape. The correct answer is:

b) Observe the pattern. Each letter is one-fourth rotation of the
previous letter. The correct answer is:

c) Observe the pattern in the given shapes. Each shape is one-third
rotation of the previous shape. The correct answer is:

d) Observe the pattern in the given shapes. Each shape is one-fourth
rotation of the previous shape. The correct answer is:

**Question 3 : **

The rule of the pattern is turning by 45Â° each time. Which will be the
next? Tick (ïƒ¼ ) the right one.

**Answer : **The correct answer is:

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

**Answer : **b) Turn each image by 45o to get the next image. The correct answer
is:

c) Turn each image by 45o to get the next image. The correct answer
is:

**Question 5 : **Some patterns are given below on the left side of the red line.
For
each pattern, write the rule. Then choose what comes next from the
right side of the line and tick (✔) it.

**Answer : ** The correct answer is

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

a).

b).

c).

d).

**Answer : **a) Observe the given pattern. Pictures are placed upside and upside
down in alternate order. The picture which is breaking the rule is
marked below.

Following is the correct pattern image.

b) Observe the given pattern. Every picture is clockwise one-fourth
rotation of the previous picture. The picture which is breaking the rule
is marked below.

Following is the correct pattern image.

c) Observe the given pattern. Pictures are placed upside and upside
down in alternate order. The picture which is breaking the rule is
marked below.

Following is the correct pattern image.

d) Observe the given pattern. The first two pictures are placed in an
alternate order to make the pattern. The picture which is breaking the
rule is marked below.

Following is the correct pattern image.

**Magic Squares**

**Question 7 : **Fill this square using all the numbers from 46 to 54.

Rule: The total of each line is 150.

**Answer : **

Step 1: Consider the third column.

49 + ___ + 47 = 150

Since 49 + 47 = 96, we have

150 â€“ 96 = 54

Therefore,

49 + 54 + 47 = 150

Hence, write 54 in the empty box of the third column.

Step 2: Now, consider the third row.

__ + 52 + 47 = 150

Since 52 + 47 = 99, we have

150 â€“ 99 = 51

Therefore,

51 + 52 + 47 = 150

Hence, write 51 in the empty box of the third row.

Step 3: Consider the first column, after step 2, we have 51 and 46 in
the first column.

51 + 46 + __ = 150

Since 51 + 46 = 97, the missing number is:

150 â€“ 97 = 53

Therefore, write 53 in the empty box of the first column.

Step 4: Consider the first row. Now, we have 53 and 46 in the first
row. Therefore,

53 + ___ + 49 = 150.

Since 53 + 49 = 102, the missing number is:

150 â€“ 102 = 48

Therefore, write 48 in the empty box of the first row.

Step 5: Consider the second row. Now, we have 54 and 46 in the
second row.

Since 54 + 46 = 100, the missing number is:

150 â€“ 100 = 50

Therefore, write 50 in the empty box of the second row.

The correct answer is:

**Question 8 : **Fill this square using all the numbers from 21 to 29.

Rule: The total of each side is 75.

**Answer : **The correct answer is:

**Magic Hexagons**

**Question 9 : **Look at the patterns of numbers in hexagons. Each side has 2
circles
and 1 box.

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

**Answer : **The circles next to 65 are 5 and 13.

The number in each box is the product of the numbers in the circles
next to the box.

**Question 10 : ** TUse the same rule to fill the hexagons below.

a)

b)

**Answer : **a) The correct answer is:

a)

b)

**Question 11: **Are they equal?

**Answer : **Add the given numbers separately.

24 + 19 + 37 = 80

37 + 24 + 19 = 80

215 + 120 + 600 = 935

600 + 215 + 120 = 935

The change in the order of the numbers in addition does not change
the result. So, they are equal.

**Question 12: **
Fill in the blank spaces in the same way.

a)

b)

c)

**Answer : **The correct answers are:

a)

b)

c)

**Question 13: **Now, look at this-

Check if it is true or not.

**Answer : **Multiply the given numbers separately.

48 Ã— 13 = 624

13 Ã— 48 = 624

So, the given multiplication statement is true.

**Question 14: **Now you try and change these numbers into special numbers
a) 28 b) 132 c) 273

**Answer : **

a)

Take the number 28.

Turn it backwards: 82.

Add them together: 110.

But this is not a special number because when we reverse its order,
we get 011.

Now, add 110 and 011: 121

121 is a special number.

b)

Take the number 132.

Turn it backwards: 231

Add them together: 363

363 is a special number.

c)

Take the number 273.

Turn it backwards: 372

Add them together: 645

But this is not a special number because when we reverse its order,
we get 546.

Now, subtract 546 from 645.

645 âˆ’ 546 = 99

99 is a special number.

**Question 15: **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?

**Answer : **The correct answer is:

Find the difference in answers at each step.

39 â€“ 27 = 12, 51 â€“ 39 = 12, 63 â€“ 51 = 12, 75 â€“ 63 = 12, 87 â€“ 75 = 12,
99 â€“ 87 = 12, and 111 â€“ 99 = 12,

Therefore, the difference in the answers is the same at each step.

**Question 16: **
Look at the numbers below. Look for the pattern. Can you take it
forward?

**Answer : **The correct answer is

**Question 17: **
Did you notice some pattern in the answers?

**Answer : **The correct answer is

The difference in the answers is the same at each step that is 100.

**Question 18: **
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?

**Answer : **The correct answer is

Since there are countless odd numbers, this pattern will never end.

**Question 19: **
Banno and Binod were playing a guessing game by writing clues
about a secret number. Each tried to guess the otherâ€™s secret number
from the clues. Can you guess their secret numbers?

a)

â€¢ It is larger than half of 100

â€¢ It is more than 6 tens and less than 7 tens

â€¢ The tens digit is one more than the ones digit

â€¢ Together the digits have a sum of 11

b)

â€¢ It is smaller than half of 100

â€¢ It is more than 4 tens and less than 5 tens

â€¢ The tens digit is two more than the ones digit

â€¢ Together the digits have a sum of 6

**Answer : **

a)

It is greater than half of 100 that is the number is greater than 50.

It is greater than 6 tens and less than 7 tens that is the number is
between 60 and 70.

The ones digit is one less than the tens digit that is the number 65
Therefore, the secret number is 65.

b)

It is less than half of a hundred that is the number is less than 50.
It is greater than 4 tens and less than 5 tens that is the number is
between 40 and 50.

The ones digit is two less than the tens digit that is the number is 42.
Therefore, the secret number is 42.

**Number Surprises**

**Question 20: **
a) Ask your friend â€” Write 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?

d)Look at this pattern of numbers and take it forward.

**Answer : **

a) Do it by yourself. A sample answer is:

Suppose the age of the friend is 11 years.

Add 5 to 11.

5 + 11 = 16

Multiply 16 by 2.

16 Ã— 2 = 32

Subtract 10 from 32.

32 â€“ 10 = 22

Divide 22 by 2.

22 Ã· 2 = 11

The result will always be the same as the age of your friend.

b) Do it by yourself. A sample answer is:

c) Do it by yourself. A sample answer is:

d) The correct answer is:

1 = 1 Ã— 1

121 = 11 Ã— 11

12321 = 111 Ã— 111

1234321 = 1111 Ã— 1111

123454321 = 11111 Ã— 11111

12345654321 = 111111 Ã— 111111

1234567654321 = 1111111 Ã— 1111111

1234567654321 = 1111111 Ã— 1111111

1234567654321 = 1111111 Ã— 1111111