NCERT Solutions for Class 5 Maths (Math Magic) Chapter 7 Can You See the Pattern?

NCERT
SOLUTIONS
CLASS - 5th

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Class : 5th
Subject : Maths
Chapter : 7
Chapter Name : Can You See The Pattern

Q1 What should come next?

Page : 100 , Block Name : Practice Time

Q2 See this pattern
(a)

The rule of the pattern is --turning by 45 each time. Which will be the next? Tick (✓) the right one.
∘

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

Page : 101 , Block Name : Practice Time

Q3 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. (a) Rule: Turn by 45° each time

(b) Rule: Turn by 90° each time

(c) Rule: Turn by 90° each time

(d) Rule: Turn by 90° each time

Page : 102 , Block Name : Practice Time

Q1 Mark that picture which is breaking the rule. Also correct it.
(a)

Page : 103 , Block Name : Look For A Pattern

Q1 Fill this square using all the numbers from 46 to 54. Rule: The total of each line is 150.

Page : 103 , Block Name : Magic Squares

Q1 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?

Circles having numbers 5 and 13 are next to the number 65. In this rule, both the numbers in the circles
are multiplied to get the number in the box.

Page : 104 , Block Name : Magic Hexagons

Q2 Use the same rule to ll the hexagons below.

Now you also make your own magic hexagons.

Page : 104 , Block Name : Magic Hexagons

Q1

Are they equal?

Answer. Yes, both of them are equal because we are adding same numbers on both the sides, only their
order will change. 24 + 19 + 37 = 80 37 + 24 + 19 = 80
215 + 120 + 600 = 935 600 + 215 + 120 = 935
Order does not matter in addition.

Page : 105 , Block Name : Numbers And Numbers

Q2 Fill in the blank spaces in the same way.

Page : 105 , Block Name : Numbers And Numbers

Q3 Now, look at this -

Check if it is true or not ?

Answer. 48 ×13 = 624
13 ×48 = 624 Their multiplication is equal. So, it is true.

Page : 105 , Block Name : Numbers And Numbers

Q1 Try and change these numbers into special numbers —
(a) 28 (b) 132 (c) 273

Answer. (a) Take number 28, turn it in the reverse order to get 82. Add them together: 28 + 82 = 110 But
this is not a special number because when we reverse its order, we get 011. Now, we add: 110 + 011 = 121
When we reverse its order, we get 121. Thus, it is a special number.

(b) Take the number 132, turn it in the reverse order to get 231. Add them together: 132 + 231 = 363
When we reverse its order, we get 363. Thus, we get the special number as required.

(c) Take the number 273, turn it in the reverse order to get 372 Add them together: 273 + 372 = 645 But
this is not a special number because when we reverse its order, we get 546. Now, if we subtract them, we
get 645 − 546 = 99 When we reverse its order, we get 99, which is a special number.

Page : 106 , Block Name : Numbers And Numbers

Q2 NO LEMONS NO MELON STEP NOT ON PETS
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.

Answer. MADAM, EYE, RACE CAR, A SANTA AT NASA

Page : 106 , Block Name : Numbers And Numbers

Q1 Look at the calendar below. Let us mark a 3 × 3 box (9 dates) on the calendar and see some magic.

Take the smallest number 3

Add 8 to it + 8
= 11
Multiply it by 9 = ×9
Total = 99
Now you choose any 3 × 3 box from a calendar and nd the total in the same way.

Take the smallest number = 4
Adding 8 to it, we get 12.
Multiplying it by 9, we get 12
×9 = 108
So, the sum of all the numbers in the selected box is 108

Page : 107 , Block Name : Calendar Magic

Q1 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?

Difference between 39 − 27 = 12
Difference between 51 − 39 = 12
Difference between 63 − 51 = 12
Difference between 75 − 63 = 12
Difference between 87 − 75 = 12
Difference between 99 − 87 = 12
Thus, the difference is same at all the steps.

Page : 108 , Block Name : Some More Number Patterns

Q2 Look at the numbers below. Look for the pattern. Can you take it forward?

Page : 108 , Block Name : Some More Number Patterns

Q1

Did you notice some pattern in the answers?

In each succeeding pattern, the nal sum is increased by 100.

Page : 109 , Block Name : Smart Adding

Q2 Take the rst 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?

As there are uncountable or in nite numbers, this pattern will never come to an end.

Page : 109 , Block Name : Fun With Odd Numbers

Q1 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?
Answer. 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, we get 28 − 10 = 18
Dividing it by 2, we get
182 = 9 After doing all the operations, we again get the age of our friend’s age as the nal answer.

Page : 110 , Block Name : Number Surprises

Q1

Page : 111 , Block Name : Number Surprises

Q2

Page : 111 , Block Name : Number Surprises

Q3 Look at this pattern of numbers and take it forward.
1=1×1
121 = 11 × 11
12321 = 111 × 111
1234321 = ?

1=1×1
121 = 11 × 11
12321 = 111 × 111
1234321 = 1111 × 1111
123454321 = 11111 × 11111
12345654321 = 111111 × 111111

Page : 111 , Block Name : Number Surprises

Q1 Now make your own number surprises.

Answer. Some examples are as follows:
Take a number =

Multiply by 4: ... x 4 =
Add the number taken rst: +... = …
Divide by5 : … ÷ 5 = …
Let us take 11
11 × 4 = 44

44 + 11 = 55

55 ÷ 5 = 11

Page : 111 , Block Name : Number Surprises