NCERT: Math-Magic Solutions for Class-3, Chapter-3: How Much Can You Carry?

In the picture, the room of 12 is just above the room of 2. You need to take just one jump or 10 steps forward to go there. Therefore: A jump from 2 to 12 is like taking 10 steps.

The shortcut calculations are shown below.
a) 37 + 9 = 37 +10 – 1
= 47 − 1
= 46
b) 65 − 30 = 60 – 30 + 5
= 30 + 5
= 35
c) 87 – 30 = 80 – 30 + 7
= 50 + 7
= 57
d) 46 + 21 = 46 + 20 + 1
= 66 + 1
= 67
e) To find the number in the blank space subtract 11 from 66 as:
66 – 11 = 66 – 10 – 1
= 56 – 1
= 55
Hence, 66 – 55 = 11
f) To find the number in the blank space, subtract 9 from 36 as:
36 – 9 = 36 – 10 + 1
= 26 + 1
= 27
Hence, 36 = 27 + 9
g) To find the number in the blank space, subtract 45 from 99 as:
99 – 45 = 99 – 40 – 5
= 59 – 5
= 54
Hence, 45 + 54 = 99
h) To find the number in the blank space, subtract 26 from 75 as:
75 – 26 = 75 – 20 – 6
= 55 – 6
= 49
Hence, 49 + 26 = 75
i) To find the number in the blank space, subtract 40 from 76 as:
76 – 40 = 36
Hence, 40 + 36 = 76
j) To find the number in the blank space, subtract 50 from 98.
98 – 50 = 48
Hence, 98 = 48 + 50
k) To find the number in the blank space, add 35 and 21 as:
35 + 21 = 35 + 20 + 1
= 55 + 1
= 56
Hence, 56 – 21 = 35
l) To find the number in the blank space,subtract 20 from 57.
57 – 20 = 37
Hence, 57 – 20 = 34

a) To find 10 less than 34, from 34 take one jump downward.

So, 10 less than 34 is 24.

b) To find 53 – 20, from 53 take two jumps

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So, 53 – 20 = 33

c) To find 11 more than 31, from 31 take one jump upward and then one step forward.

So, 11 more than 31 is 42.

d) To find 11 less than 66, from 66 take one jump downward and then one step backward.

So, 11 less than 66 is 55.

e) To find 62 + 13, from 62 take one jump upward and then 3 steps forward as:
62 + 13 = 62 + 10 + 3
= 72 + 3
= 75
So, 62 + 13 = 75
f) To find 23 less than 89, from 89 take 2 jumps downwards and then 3 steps backward as:
89 – 23 = 89 – 20 – 3
= 69 – 3
= 66
So, 23 less than 89 is 66

g) To find 10 and 40 more, from 10 take 4 jumps 4 upward.

So,10 and 40 more is 50.

h) To find 9 added to 28, from 28 take 1 jump upward and then 1 step backward.

So,9 added to 28 gives 37.

i) To find the sum of 9 and 44, from 44 take 1 jump upward and then 1 step backward as:
9 + 44 = 44 + 10 – 1
= 54 – 1
= 53
So, the sum of 9 and 44 is 53.
j) To reduce 98 by 34, from 98 take 3 jumps downward and then 4 steps backward.
98 − 34 = 98 −30 − 4
= 68 − 4
= 64
So, reducing 98 by 34 gives 64.
k) To find 4 and 37 more, from 4 take 4 jumps upward and then 3 steps backward.
4 + 37 = 4 + 40 − 3
= 44 − 3
= 41
So,4 and 37 more is 41.
l) To takeaway 35 from 83, from 83 take 3 jumps downward and then 5 steps backward.
83 – 35 = 83 – 30 – 5
= 53 – 5
= 48
So, take 35 away from 83 results in 48.

Do it mentally. Following are the steps for mental calculations.
a) 33 + 42 = 30 + 3 + 40 + 2
= 70 + 3 + 2
= 75
b) 33 + 27 = 30 +3 + 20 + 7
= 50 + 3 + 7
= 60
c) 55 + 25 = 50 + 5 + 20 + 5
= 70 + 5 + 5
= 80
d) 19 + 61 = 10 + 9 + 60 + 1
= 70 + 9 + 1
= 80
e) 34 + 63 = 30 + 4 + 60 + 3
= 90 + 4 + 3 = 97
f) 67 + 25 = 60 + 7 + 20 + 5
= 80 + 7 + 5
= 92
g) 48 + 42 = 48 + 40 + 2
= 50 + 40
= 90
h) 53 + 64 = 50 + 3 + 60 + 4
= 110 + 3 + 4
= 117
i) 72 + 56 = 70 + 2 + 50 + 6
= 120 + 2 + 6
= 128

Step 1: Find out the total number of deer and rabbits as:

So, the total number of rabbits and deer are 75.
Step 2: Find the total number of birds and squirrels as:

So, the total number of birds and squirrels are 162.
Step 3: Now, find the total number of animals as:

There were 240 animals and now there are 237 animals left. 240 – 237 = 3
Hence, the baby lion has eaten up 3 animals.
No, the baby lion cannot go home now.

Hence, they found 182 pebbles in all.

So, Rafi has 390 candles now.
Since, 400−390=10
The sum is less than 400.

Hence, they found 182 pebbles in all.

There are 132 people in one compartment and 129 people in another compartment. To find the total number of people, add the number of people in both the compartments.
132 + 129 = 261
Hence, there are total 261 people in both the compartments in all.