**NCERT Solutions for class 3 Mathematics Chapter-9 How Many Times ?**

**Find the Number without Counting**

**1.In the same way, how many bottles are these?**

**Ans.** 4 times 5 = 20 bottles.

**2.How many eggs?**

**Ans.** 6 times 5 = 30 eggs.

**Practice Time**

**A.Rewrite using the + sign.**

** 2 x 5 is 2 times 5 or 5 + 5**

** 4 x 18 is 4 times 18 or 18 + 18 + 18 +18**

** 3 x 20 is 3 times 20 or 20 + 20 + 20**

** 8 x 9 is 8 times 9 or 9 + 9 + 9 + 9 +9+9+9+9**

** B.Tell how many times!**

** 9+9+9+9+9+9=6×9=54**

** 4+4+4+4+4=5×4=20**

** 8 + 8 + 8 = 3×8 = 24**

** 3 + 3 + 3 + 3 + 3 + = 5×3 = 15**

** 30 + 30 + 30 = 3 x 30 = 90**

** 7+7+7+7+7+7=6×7=42**

** 12 + 12 + 12 + 12 = 4 x 12 = 48**

** 6 + 6 + 6 = 3×6 = 18**

** 10 + 10 + 10 + 10 = 40**

** 4 x 10 = 2+2+2+2+2=5×2=10**

** 6+6+6+6+6+6+6=7×6=42**

**1.Ramu bought 4 packets of biscuits. Each packet has 4 biscuits. How many biscuits did Ramu buy?**

**Ans.** 4 x 4 = 16 biscuits.

**2.There are 12 desks in the classroom. Each desk has 4 legs. What is the total number of legs of the desks?**

**Ans.** 12 x 4 = 48 legs.

**3. Sahiba brought home 3 bunches of flowers. Each bunch has 4 flowers. How many flowers were there?**

**Ans.** 3 x 4 = 12 flowers.

**4.One rail coach has 8 wheels. How many wheels in all in 6 coaches?**

**Ans.** 6 x 8 = 48 wheels.

**Stick Play**

**Mithu had some sticks. She arranged them like this:**

** 1 time 5 = 5,**

** 2 times 5 = 10**

** 3 times 5 = 15,**

** 4 times 5 = 20**

**Then she counted how many times the sticks were crossing each other. She found that 4 times 5=4 x 5=20**

**1.Now draw sticks to make the multiplication table of 6:**

**Ans.1 x 6 = 6**

** 2 x 6 = 12**

** 3 x 6 = 18**

** 4 x 6 = 24**

** 5 x 6 = 30**

** 6 x 6 = 36**

** 7 x 6 = 42**

** 8 x 6 = 48**

** 9 x 6 = 54**

** 10 x 6 = 60**

**Practice Time**

**1.Complete the following:**

**Ans.**2×7 = 14 3×9 = 21

5×2=10 5×8 = 40

10×6 = 60 2×8 = 16

10×8 = 80 4×9 = 36 3×10 = 30 5×9 = 45

**2.Look at the patterns and complete them.**

**Ans.**3, 6, 9, 12,15, 18

2, 4, 6, 8, 10,12

10, 20, 30,40, 50,60

4, 8, 12,16,20, 24

5, 10,15,20, 25,30

30,60,90,120,150, 180

**3.Complete the multiplication tree.**

**Ans.**

**4.How many in all?**

**(i)The almirah has 4 shelves. There are 5 books in each shelf. How many books are in the almirah?**

**Ans.** 4 x 5 = 20 books.

**(ii)A shirt has 5 buttons. How many buttons would 3 shirts have?**

**Ans.** 5 x 3 = 15 buttons.

**(iii)There are 4 fans. Each fan has 3 blades. What is the total number of blades in all?**

**Ans.** 4 x 3 = 12 blades.

**(iv)A box contains 6 apples. How many apples in all will seven boxes have?**

**Ans.** 6 x 7 = 42 apples.

**(v)How many corners would 4 triangles have?**

**Ans.** 4 x 3 = 12 corners.

**5.Some Multiplication Facts**

**Ans.**(i)8 x 3 = 24 (ii) 5 x 7 = 35 , (iii) 3 x 4 = 12

**Multiplying Big Numbers**

**1.Two toffees were given to each student in the class. If there were 34 students, how many toffees were given in all?**

**Ans.** Total number of students = 34 Each student gets 2 toffees.

So, total number of toffees = 34 x 2

So, 34 times 2 is 68.

**2.In a picnic 4 fruits were given to every student. The number of students was 23. Find out the total number of fruits given.**

**Ans.** Number of students in the picnic = 23

Number of fruits given to each student = 4

Total number of fruits = 23 x 4

So, 23 times 4 is 92.

**Practice Time**

**1.Multiply:**

** (i) 22×3 =——— (ii) 43×2 = ——— (iii) 21×4 =———**

** (iv) 24 x 2 =——— (v) 11×5 =——— (vi) 30 x 5 =———**

** (vii) 20 x 4 =——— (viii) 23 x 9 =——— (ix) 26 x 4 =———**

** (x) 38 x 2 =——— (xi) 25 x 3 =——— (xii) 24 x 5 =———**

** (xiii) 35 x 3 =——— (xiv) 48 x 4 =——— (xv) 32 x 5 =———**

** (xvi) 58 x2 =———**

**Ans.** (i) 22 x 3 = 20 x 3 + 2 x 3 =60 + 6= 66

(ii)43×2 = 40×2 + 3×2 =80 + 6= 86

(iii)21 x 4 = 20 x 4 + 1 x 4 = 80 + 4 = 84

(iv)24 x 2 = 20 x 2 + 4 x 2 = 40 + 8 = 48 ”

(v)11 x 5 = 10 x 5 + 1 x 5 = 50 + 5 = 55

(vi)30 x5 = 150

(vii) 20 x4 = 80

(viii)23×9 = 20×9 + 3×9 = 180 + 27 = 207

(ix)26 x 4 = 20 x 4 + 6 x 4 = 80 + 24 = 104

(x)38 x 2 = 30 x 2 + 8 x 2 = 60 + 16 = 76

(xi)25 x 3 = 20 x 3 + 5 x 3 = 60 + 15 = 75

(xii)24 x 5 = 20 x 5 + 4 x 5 = 100 + 20 = 120

(xiii)35×3 = 30×3 + 5×3 = 90 + 15 = 105

(xiv)48 x 4 = 40 x 4 + 8 x 4 = 160 + 32 = 192

(xv) 32 x 5 = 30 x 5 + 2 x 5 = 150 + 10 = 160

(xvi)58 x 2 = 50 x 2 + 8 x 2 = 100 + 16 = 116.

**2.First guess the answer and then calculate:**

** (i)A flower has five petals. A bunch of flowers has 13 flowers. How many petals are there in a bunch?**

**Ans.** Guess: 13 is more than 10 and less than 20 10 times 5 is 50 20 times 5 is 100

So, 13 times 5 is between 50 and 100

Calculation:13 x 5=10×5+3×5

=50+15=65

Hence, there are 65 petals in the bunch.

**(ii)A book has 64 pages. What will be the total number of pages in 8 such books?**

**Ans.** Guess: 64 is more than 60 and less than 70 60 times 8 is 480 70 times 8 is 560

So, 64 times 8 is between 480 and 560 Calculation:

64 x 8

= 60×8 + 4×8 = 480 + 32 = 512

Hence, there are 512 pages in 8 books.

**(iii) Students stand in rows in the assembly. There are six rows of students. Each row has 17 students. How many students are there?**

**Ans.** Guess: 17 is more than 10 and less than 20 10 times 6 is 60 20 times 6 is 120

So, 17 times 6 between 60 and 120

Calculation: ”

17×6

= 10×6 + 7×6 = 60 + 42 = 102

Hence, there are 102 students in 6 rows.

**(iv) A design has 3 flowers in it. A piece of cloth has 17 such designs. How many flowers will be on the cloth?**

**Ans.** Guess: 17 is more than 10 and less than 20 10 times 3 is 30 20 times 3 is 60

So, 17 times 3 is between 30 and 60 Calculation:

17 x 3

= 10×3 + 7×3 = 30 + 21 = 51.

**Multiplication Patterns**

**9×1 = 9**

** 9 x 2 = 18 1 + 8 = 9**

** 9 x 3 = 27 2 + 7 = 9**

** 9 x 4 = 36 3 + 6 = 9**

** 9 x 5 = 45 4 + 5 = 9**

** 9 x 6 = 54 5 + 4 = 9**

** 9 x 1 = 63 6 + 3 = 9**

** 9 x 8 = 12 1 + 2 = 9**

**1.Did you see the pattern in the 9 times table? What numbers are adding up to 9?**

**Ans.** The 9 times table shows a certain pattern. Digit sum of the products is always

**2.Complete the grid by multiplying the numbers.**

Look at the cross in your grid.

Add the numbers together from top to bottom.

3 + 6 + 9 = 18

Add the numbers together from left to right.

4 + 6 + 8 = 18

The total is the same.

**Ans.** The complete grid is as follows:

**Let us add numbers as follows:**

6 + 12 + 18 = 36 10 + 12 + 14 = 36 9 + 18 + 27 = 54 16 + 18 + 20 = 54 8 + 10 + 12 = 30 5 + 10 + 15 = 30

In each crosses the total remains the same.

•Mark the numbers 1 – 10 in the same grid in one colour. •’ Mark the numbers 12 – 20 in another colour.

• imilarly, mark 21 – 30 in a third colour.