NCERT: Math-Magic Solutions for Class-3, Chapter-9: How many times?

Question 1 : Are the groundnuts really more than the jaggery (gur) in weight or do they just look more?

Answer : Since both the groundnuts, and the jaggery(gur) are 1 kg in weight, the groundnuts are not more than the jaggery in weight.

Question 2 : So how many legs altogether do 5 octopuses have?

Answer : An octopus has 8 legs. Therefore, 5 octopuses have 5 times of 8 legs.
5 times 8 = 5 × 8 = 40
Therefore, 5 octopuses have 40 legs.

Question 3 : How many bottles are these?
__________ times_______ =_________ bottles

Answer : Since there are 5 rows of bottles and 4 bottles in each row, the total number of bottles are:
5 times 4 = 5 × 4 = 20 bottles

Question 4 : How many eggs?
_________times ______ = _______eggs

Answer : Since there are 6 rows of eggs and 5 eggs in each row,
5 times 6 = 5 × 6 = 30 eggs

Question 5 : Rewrite using the + sign.
2 × 5 is 2 times 5 or 5 + 5
4 × 18 is 4 times ________or _____+_____+_____+_____
3 × 20 is_____times_____or_____+_____ +_____
8 × 9 is_____times_____or_____ +_____+_____ +_____+_____
+_____+_____

Answer : The correct answers are:
4 × 18 is 4 times 18 or 18 + 18 + 18 + 18 = 72
3 × 20 is 3 times 20 or 20 + 20 + 20 = 60
8 × 9 is 8 times 9 or 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 72

Question 6 : Tell how many times!
8 + 8 + 8 =____× 8 =____
3 + 3 + 3 + 3 + 3 = 5 × ____= ____
30 + 30 + 30 =____ × ____ =____
7 + 7 + 7 + 7 + 7 + 7 = ____ ×____ =____
12 + 12 + 12 + 12 =____× 12 =____
6 + 6 + 6 =____×____ =____
10 + 10 + 10 + 10 = ____×____=_____
2 + 2 + 2 + 2 + 2 =_____×____=____
6 + 6 + 6 + 6 + 6 + 6 + 6 =_____×_____ =_____

Answer : The correct answers are:
8 + 8 + 8 = 3 × 8 = 24
3 + 3 + 3 + 3 + 3 = 5 × 3 =15
30 + 30 + 30 = 3 × 30 = 90
7 + 7 + 7 + 7 + 7 + 7 = 6 × 7 = 42
12 + 12 + 12 + 12 = 4 × 12 = 48
6 + 6 + 6 = 3 × 6 = 18
10 + 10 + 10 + 10 = 4 × 10 = 40
2 + 2 + 2 + 2 + 2 = 5 × 2 = 10
6 + 6 + 6 + 6 + 6 + 6 + 6 = 7 × 6 = 42

Question 7 : Ramu bought 4 packets of biscuits. Each packet has 4 biscuits. How many biscuits did Ramu buy?

Answer : There are 4 biscuits in each packet, and you need to find the total number of biscuits in 4 such packets. Since
4 times 4 = 4 × 4 = 16,
he bought 16 biscuits.

Question 8 : There are 12 desks in a classroom. Each desk has 4 legs. What is the total number of legs of the desks?

Answer : A desk has 4 legs, and you need to find the total number of legs in 12 such desks. Since
12 times 4 =12 × 4 = 48,
The total number of legs are 48.

Question 9 : Sabiha brought home 3 bunches of flowers. Each bunch has 4 flowers. How many flowers were there?

Answer : There are 4 flowers in a bunch, and you need to find the total number of flowers in 3 such bunches. Since
3 times 4 = 3 × 4 = 12,
there were 12 flowers.

Question 10: One rail coach has 8 wheels. How many wheels in all in 6 coaches?

Answer : One coach has 8 wheels, and you need to find the total number of wheels in 6 such coaches. Since
6 times 8 = 6 × 8 = 48,
there 48 wheels in all.

Question 11 :
4 times 2 is____or 4 × 2 =____
times 2 is____or 5 × 2 =____
6 times 2 is____ or 6 × 2 =____
____times 2____is or____× 2 =____
____times ____is____ or 8 × 2 =____
____times____is or 9 × 2 =____
____times____is or 10 × 2 =____

Answer : The correct answers are:

Question 12 : Tarru the Frog jumps 3 steps each time. Which numbers will Tarru touch?

Answer : The correct answer is:

Question 13 : Fill in the blanks

Answer : Answers may vary.

Question 14 : Fill in the blanks

Answer : The correct answer is:

Question 15 : Let's try making a 2 times table with sticks:
1 × 2 = 2
2 × 2 = 4
3 × 2 = 6
4 × 2 =
5 × 2 =
6 × 2 =
7 × 2 =
8 × 2 =
9 × 2 =
10 × 2 =

Answer : The correct answer is:
1 × 2 = 2
2 × 2 = 4
3 × 2 = 6
4 × 2 = 8
5 × 2 = 10
6 × 2 = 12
7 × 2 = 14
8 × 2 = 16
9 × 2 = 18
10 × 2 = 20

Question 16 : Now draw sticks to make the multiplication table of 6:

Answer : Draw by yourself.
1 × 6 = 6
2 × 6 = 12
3 × 6 = 18
4 × 6= 24
5 × 6 = 30
6 × 6 = 36
7 × 6 = 42
8 × 6 = 48
9 × 6 = 54
10 × 6 = 60

Question 17 : How much do these things cost?
4 toffees cost____rupees. [Hint: 4 × 2].

Answer : Since the cost of one toffee is Rs 2, multiply 4 by 2 to get the cost of 4 toffees.
4 × 2 = 8
Therefore, the cost of 4 toffees is Rs. 8.

Question 18 :
a) 3 pencil boxes cost____rupees.
b) 10 pencil boxes cost____rupees.

Answer :
a) Since the cost of one pencil box is Rs 10, multiply 3 by 10 to get the cost of 3 pencil boxes.
3 × 10 = 30
Therefore, the cost of 3 pencil boxes is Rs 30.
b) Multiply 10 by 10 to get the cost of 10 pencil boxes.
10 × 10 = 100
Therefore, the cost of 10 pencil boxes is Rs 100.

Question 19 : 9 balloons cost____ rupees.

Answer : Since the cost of one balloon is Rs 5, multiply 9 by 5 to get the cost of 9 balloons.
9 × 5 = 45
Therefore, the cost of 9 balloons is Rs 45.

Question 20 : 5 toys cost____rupees.

Answer : Since the cost of one toy is Rs 4, multiply 5 by 4 to get the cost of 5 toys.
5 × 4 = 20
Therefore, the cost of 5 toys is Rs 20.

Question 20 : 7 face masks____cost rupees

Answer : Since the cost of one mask is Rs 3, multiply 7 by 3 to get the cost of 7 masks.
7 × 3 = 21
Therefore, the cost of 7 masks is Rs 21.

Question 21 : Complete the following:

Answer : The correct answer is:

Question 22 : Look at the patterns and complete them.
a) 3, 6, 9, ____, ____, ___ .
b) 2, 4, 6, ____, ____, ____.
c) 10, 20, 30, ____, ___ , ____.____.
d) 4, 8, 12, ____, ___ , ____ .
e) 5, 10, 15, _____,______,____ .
f) 30, 60, 90,_____, _____, .

Answer :
a) Observe the given pattern, the numbers are from the table of 3.
1 × 3= 3, 2 × 3 = 6, 3 × 3 = 9, 4 × 3 = 12, 5 × 3 = 15, 6 × 3 = 18
Therefore, the complete pattern is:
3, 6, 9, 12, 15, 18.
b) Observe the given pattern, the numbers are from the table of 2.
1 × 2 = 2, 2 × 2 = 4, 2 × 3 = 6, 2 × 4 = 8, 2 × 5 = 10, 2 × 6 = 12
Therefore, the complete pattern is:
2, 4, 6, 8, 10, 12.
c) Observe the given pattern, the numbers are from the table of 10.
1 × 10 = 10, 2 × 10 = 20, 3 × 10 = 30, 4 × 10 = 40, 5 × 10 = 50, 6 × 10 = 60
Therefore, the complete pattern is:
10, 20, 30, 40, 50, 60.
c) Observe the given pattern, the numbers are from the table of 4.
1 × 4 = 4, 2 × 4 = 8, 3 × 4 = 12, 4 × 4 = 16, 5 × 4 = 20, 6 × 4 = 24
Therefore, the complete pattern is
4, 8, 12, 16, 20, 24.
d) Observe the given pattern, the numbers are from the table of 5.
1 × 5 = 5, 2 × 5 = 10, 3 × 5 = 15, 4 × 5 = 20, 5 × 5 = 25, 6 × 5 = 30
Therefore, the complete pattern is
5, 10, 15, 20, 25, 30.
f) Observe the given pattern, the numbers are from the table of 30.
1 × 30 = 30, 2 × 30 = 60, 3 × 30 = 90, 4 × 30 = 120,
5 × 30 = 150, 6 × 30 = 180.
Therefore, the complete pattern is:
30, 60, 90, 120, 150, 180.

Question 23 : Complete the multiplication tree.

Answer : The correct answer is:

Question 24 : The almirah has 4 shelves. There are 5 books in each shelf. How many books are in the almirah?

Answer : Since there are 5 books on each shelf, to find the total number of books in 4 such shelves multiply 4 by 5.
4 × 5 = 20
Therefore, there are a total of 20 book

Question 25 : A shirt has 5 buttons. How many buttons would 3 shirts have?

Answer : There are 5 buttons in one shirt. To find the total number of buttons in 3 such shirts multiply 5 by 3.
5 × 3 = 15
Therefore, there would be a total of 15 buttons in 3 such shirts.

Question 26 : There are four fans. Each fan has 3 blades. What is the total number of blades in all?

Answer : There are 3 blades in one fan. To find the total number of blades in 4 such fans, multiply 4 by 3.
4 × 3 = 12
Therefore, there are a total of 12 blades.

Question 27 : A box contains 6 apples. How many apples in all will seven boxes have?

Answer : There are 6 apples in one box. To find the total number of apples in7 such boxes multiply 7 by 6.
7 × 6 = 42
Therefore, there are 42 apples altogether.

Question 28 : How many corners would 4 triangles have?

Answer : Observe the given picture. There are 3 corners in one triangle. To find the total number of corners in 4 triangles, multiply 4 by 3.
4 × 3 = 12
Therefore, there are 12 corners.

Question 29: Some multiplication facts:
a) 8 × 3 = ___ b) 5 ×___= 35
c) 3 ×___ = __ d) ___× 6 = 36
e)___×___= 42 f) 10 ×____=___
g) 5 ×___ = 40 h) ___× 9 = 36
i)___×___= 54 j) ____ × 7 = 28

Answer : The correct answers are:
a) 8 × 3 = 24
b) 5 × 7 = 35
c) 3 × 4 =12 (Answers may vary)
d) 6 × 6 = 36
e) 7 × 6 = 42 (Answers may vary)
f)10 × 7 =70 (Answers may vary)
g) 5 × 8 = 40
h) 4 × 9 = 36
i) 6 × 9 = 54(Answers may vary)
j) 4 × 7 = 28

Question 30 :
one time one is 1 × 1 = 1
two times one is 2 × 1= 2
three times one is 3 × ___= __
four times one is __× __ = ___
____times one is __×___ = ___
____times one is ___× ___= ___
____times one is ___×___ = ___
____times one is ___× ___= ____

Answer : The correct answer is:
one time one is 1 × 1 = 1
two times one is 2 × 1 = 2
three times one is 3 × 1 = 3
four times one is 4 × 1 = 4
five times one is 5 × 1 = 5
six times one is 6 × 1 = 6
seven times one is 7 × 1 = 7
eight times one is 8 × 1 = 8

Question 31 : AA. Multiply:
a) 22 × 3 = b) 43 × 2 =
c) 21 × 4 = d) 24 × 2 =
e) 11 × 5 = f) 30 × 5 =
g) 20 × 4 = h) 23 × 9 =
i) 26 × 4 j) 38 × 2 =
k) 25 × 3 = l) 24 × 5 =
m) 35 × 3 = n) 48 × 4 =
o)32 × 5 = p) 58 × 2 =

Answer : The correct answers are:

a) Split 22 in 20 and 2, and then multiply these numbers by 3 as:

1	20	2
3	20X3	2X3
	60	6

60 + 6 = 66
Therefore, 22 × 3 = 66

b) Split 43 in 40 and 3, and then multiply these numbers by 2 as:

1	40	3
2	40X2	3X2
	80	6

80 + 6 = 86
Therefore, 43 × 2 = 86

c) Split 22 in 20 and 2, and then multiply these numbers by 3 as:

1	20	1
4	20X4	1X4
	80	4

80 + 4 = 84
Therefore, 21 × 4 = 84

d) Split 24 in 20 and 4, and then multiply these numbers by 2 as:

1	20	4
2	20X2	4X2
	40	8

40 + 8 = 48
Therefore, 24 × 2 = 48

e) Split 11 in 10 and 1, and then multiply these numbers by 5 as:

1	10	1
5	10X5	1X5
	50	5

50 + 5 = 55
Therefore,11 × 5 = 55

f) 30 × 5 = 150
g) 20 × 4 = 80
h) Split 23 in 20 and 3, and then multiply these numbers by 9 as:

1	20	3
9	20X3	2X3
	180	27

180 + 27 = 207
Therefore, 23 × 9 = 207

i) Split 26 in 20 and 6, and then multiply these numbers by 4 as:

1	20	6
4	20X4	6X4
	80	24

80 + 24 = 104
Therefore, 26 × 4 = 104

j) Split 38 in 30 and 8, and then multiply these numbers by 2 as:

1	30	8
2	30X2	8X2
	60	16

60 + 16 = 76
Therefore, 38 × 2 = 76

k) Split 25 in 20 and 5, and then multiply these numbers by 3 as:

1	20	5
3	20X3	5X3
	60	15

60 + 15 = 75
Therefore, 25 × 3 = 75

l) Split 24 in 20 and 4, and then multiply these numbers by 5 as:

1	20	4
5	20X5	4X5
	100	20

100 + 20 = 120
Therefore, 24 × 5 = 120

m) Split 35 in 30 and 5, and then multiply these numbers by 3 as:

1	30	5
3	30X3	5X3
	90	15

90 + 15 = 105
Therefore, 35 × 3 = 105

n) Split 48 in 40 and 8 and then multiply these numbers by 4 as:

1	40	8
4	40X4	8X4
	160	32

160 + 32 = 192
Therefore, 48 × 4 = 192

o) Split 32 in 30 and 2, and then multiply these numbers by 5 as:

1	30	2
5	30X5	2X5
	150	10

150 + 10 = 160
Therefore, 32 × 5 =160

p) Split 58 in 50 and 8, and then multiply these numbers by 2 as:

1	50	8
2	50X2	8X2
	100	16

100 + 16 = 116
Therefore, 58 × 2 = 116

22× 3 = 66

Question 32 : First guess the answer and then calculate:
a) A flower has five petals. A bunch of flowers have 13 flowers. How many petals are there in the bunch?
b) A book has 64 pages. What will be the total number of pages in 8 such books?
c) Students stand in rows in the assembly. There are six rows of students. Each row has 17 students. How many students are there?
d) A design has 3 flowers in it. A piece of cloth has 17 such designs. How many flowers will be on the cloth?

Question 33 : First guess the answer and then check it by calculating:
a) 42 × 23 = b) 73 × 11 =
c) 51 × 13 = d) 54 × 12 =
e) 25 × 36 = f) 12 × 14 =

Answer : Guess the answer on your own.
a) Split the numbers and multiply as:
42 = 40 + 2, and 23 = 20 + 3

	40	2
20	40 × 20 = 800	2 × 20 = 40
3	40 × 3 = 120	2 × 3 = 6
	Total=800+120= 920	Total = 46

920 + 46 = 966
Therefore, 42 × 23 = 966
b) Split the numbers and multiply as:
73 = 70 + 3, and 11 = 10 + 1

	70	3
10	70 × 10 = 700	3 × 10 = 30
1	70 × 1 = 70	3 × 1 = 3
	Total=700 + 70= 770	Total = 33

770 + 33 = 803
Therefore, 73 × 11 = 803
c) Split the numbers and multiply as:
51 = 50 + 1, and 13 = 10 + 3

	50	1
10	50 × 10 = 500	1 × 10 = 10
3	50 × 3 = 150	1 × 3 = 3
	Total=500+150= 650	Total = 13

650 + 13 = 663
Therefore, 51 × 13 = 663
d) Split the numbers and multiply as:
54 = 50 + 4, and 12 = 10 + 2

	50	4
10	50 × 10 = 500	4 × 10 = 40
2	50 × 2 = 100	4 × 2 = 8
	Total=500+100= 600	Total = 48

600 + 48 = 648
Therefore, 54 × 12 = 648
e) Split the numbers and multiply as:
25 = 20 + 5 and 36 = 30 + 6

	10	5
30	20 × 30 = 600	5 × 30 = 150
6	20 × 6 = 120	5 × 6 = 30
	Total=600+120= 720	Total =150 + 30=180

720 + 180 = 900
Therefore, 25 × 36 = 900
f) Split the numbers and multiply as:
12 = 10 + 2 and 14 = 10 + 4

	10	2
10	110 × 10 = 100	2 × 10 = 20
4	10 × 4 = 40	2 × 4 = 8
	Total=100 + 40= 140	Total = 28

So, 140 + 28 = 168
Therefore, 12 × 14 = 168

Question 34 : 9 × 1 = 9
9 × 2 = 18   1 + 8 = 9
9 × 3 = 27   2 + 7 = 9
9 × 4 = 36    3 + 6 = 9
9 × 5 = 45   4 + 5 = 9
9 × =    + = 9 × =    + = 9 × 8 =    + =

Answer : Observe the pattern in multiplication of 9. The correct answer is: 9 × 1 = 9 9 × 2 = 18     1 + 8 = 9 9 × 3 = 27     2 + 7 = 9 9 × 4 = 36     3 + 6 = 9 9 × 5 = 45     4 + 5 = 9 9 × 6 = 54     5 + 4 = 9 9 × 7 = 63     6 + 3 = 9 9 × 8 =72     7 + 2 = 9

Question 35 : Complete the grid by multiplying the numbers

Answer : The correct answer is:

Question 36 : Look for other such crosses and copy them in your notebook.

Answer : Do it by yourself. Answers may vary. Following is a sample answer.