NCERT solutions for Class 5 Maths Chapter 7 - Can You See the Pattern, includes all the answers in details to help students easily understand the concepts used. Here, we have provided answers for each and every question given in Class 5 Maths NCERT Chapter 7.
NCERT Solutions for Class 5 Maths
Chapter 7: Can You See the Pattern?
NCERT Page No. 99
New patterns are as follows:
NCERT Page No. 100
1) What should come next?
Missing patterns are given below:
NCERT Page No. 101
2) See this pattern
The rule of the pattern is – turning by 45° each time. Which will be the next? Tick (ü) the right one.
Following the pattern, the next figure will be the one with tick mark:
Using the same rule take it forward till you get back to what you started with.
NCERT Page No. 102
Some patterns are given below on the left side of the red line. For each patter, write the rule. Then choose what comes next from the right side of the line and tick (ü) it.
(a) Rule: The figure turns by 45o clockwise each time.
(b) Rule: The figure turns by 90o clockwise each time.
(c) Rule: The figure turns by 90o clockwise each time.
(d) Rule: The figure turns by 90o anticlockwise each time.
NCERT Page No. 103
Look for a Pattern
Mark that picture which is breaking the rule. Also correct it.
Do you remember magic triangles? Come now, let’s make some magic squares.
1. Fill this square using all the numbers from 46 to 54.
Rule: The total of each line is 150
Given that the total of each line = 150
We can use numbers from 46 to 54.
In the third row, we have
a + 52 + 47 = 150
a + 99 = 150
a = 150 – 99 = 51
So, we can fill 51 in the first box of the third row.
Now, in the first column, we have
b + 46 + 51 = 150
b + 97 = 150
b = 150 – 97 = 53
So, we can fill 53 in the first box of the first column.
In the first row, we have
53 + c + 49 = 150
c + 102 = 150
c = 150 – 102 = 48
So, we can fill 48 in the second box of the first row.
In the second column, we have
48 + d + 52 = 150
d + 100 = 150
d = 150 – 100 = 50
So, we can fill 50 in the second box of the second column.
In the third column, we have
49 + e + 47 = 150
e + 96 = 150
e = 150 – 96 = 54
So, we can fill 54 in the second box of the third column.
The box with all values is given below:
2. Fill this square using all the numbers from 21 to 29. Rule: The total of each side is 75.
Given that total of each side is 75
We can use numbers from 21 to 29.
In the first row:
The required number can be taken as = 26, 27, 22
As 26 + 27 + 22 = 75
In the first column:
Number in first box = 26
Let us take the number in second box = 21
So, number in third box = 75 – (26 + 21)
=75 – 47 = 28
In the second row:
Number in first box = 21
Let us take the number in second box = 25
So, number in third box =75 – (21 + 25)
= 75 – 46 = 29
In the second column:
Number in first box = 27
Number in second box = 25
So, number in third box =75 – (27 + 25)
= 75 – 52 = 23
In the third row:
Number in first box = 28
Number in second box = 23
So, number in third box = =75 – (28 + 23)
= 75 – 51= 25
Hence, the complete magic square is as follows:
NCERT Page No. 104
1. Look at the patterns of numbers in hexagons. Each side has 2 circles and 1 box. You get the number in each box by multiplying the numbers in the circles next to it.
Look at the number 65 in the box. Which are the circles next to it? Can you see how the rule works?
Circles next to 65 are with numbers 5 and 13.
Rule: Number in the box can be obtained by multiplying the numbers in the circles next to it.
2. Use the same rule to fill the hexagons below.
Now you also make your own magic hexagons.
Given hexagons can be filled as shown below:
NCERT Page No. 105
Numbers and Numbers
1. Are they equal?
Yes, they are equal.
Since 24 + 19 + 37 = 80 and 37 + 24 + 19 = 80
215 + 120 + 600 = 935 and 600 + 215 + 120 = 935
2. Fill in the blank spaces in the same way.
Check if it is true or not.
Left hand side, 48 × 13 = 624
Right hand side, 13 × 48 = 624
So, it is true.
NCERT Page No. 106
Left Right—Same to Same
1. Try and change these numbers into special numbers —
(a) 28 (b) 132 (c) 273
(a) Given number is 28
Its reverse is 82
Now 28 + 82 = 110
But 110 this is not a special number so we proceed to next step.
Reverse of 110 is 011
Here 110 + 011 = 121
Now reverse of 121 is 121 again.
Thus it is a special number.
(b) Given number is 132
Its reverse is 231
Now 132 + 231 = 363
As reverse of 363 is 363.
Thus, it is a special number.
(c) Given number is 273
Its reverse is 372
Now 273 + 372 = 645
But this is not a special number so we proceed to next step.
Reverse of 645 is 546
Now, 645 − 546 = 99
As reverse of 99 is 99 again.
Thus, it is a special number.
2. Now let’s use words in special way
Did you notice that it reads the same from both sides — right to left and left to right? Now try and use words in a special way.
Some such special words are:
- We panic in a pew
- Never odd or even
- Was it a car or a cat I saw
- Step on no pets
Students may use any words of their choice meeting the required conditions of a special word.
NCERT Page No. 107
Now you choose any 3 × 3 box from a calendar and find the total in the same way.
We choose a 3 × 3 box as marked by the black outline:
Take the smallest number = 4
Add 8 to it, 4 + 8 = 12
Multiplying it by 9, 12 × 9 = 108
So, the sum of all the numbers in the selected box is 108.
NCERT Page No. 108
Some More Number Patterns
1. 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 in each case is 12 more than the previous answer. Or we can say that the difference in any to adjacent numbers in answers is 12.
2. Look at the numbers below. Look for the pattern. Can you take it forward?
NCERT Page No. 109
Did you notice some pattern in the answers?
Yes, I have noticed a pattern that here each sum is increased by 100 as compared to the previous some.
2. 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?
Given pattern of numbers can be filled as follows:
As there are infinite numbers so this process will go till infinite times or uncountable times.
NCERT Page No. 110 - 111
a) Ask your friend — 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?
Let the age of my friend be 9 years.
Adding 5 to it, we get
9 + 5 = 14
Multiplying this sum by 2, we get
14 × 2 = 28
Subtracting 10 from 28, we get
28 − 10 = 18
Dividing it by 2, we get
18 ÷ 2 = 9
The answer is same as my friend’s age.
Yes, my friend was surprised to get the same number again.
Let us take the number 9.
Let us take number 8.
d) Look at this pattern of numbers and take it forward.
1 = 1 x 1
121 = 11 x 11
12321 = 111 x 111
1234321 = ?
1 = 1 x 1
121 = 11 x 11
12321 = 111 x 111
1234321 = 1111 × 1111
123454321 = 11111 × 11111
12345654321 = 111111 × 111111
Also check the NCERT Solutions for all other chapters of NCERT Class 5 Maths Book. All these solutions will help you easily manage preparations for tests, homework and school exams. Click on the following link to get the latest and best NCERT solutions:
Also Check NCERT Books for Class 5
Class 5 students must be encouraged to read NCERT books as it will help them to lay a strong foundation of each subject at this early stage and excel in their academics. NCERT books are best known to explain the basics and concepts clearly. Students may read and download the NCERT Books for class 5 from the following links: