Step 7: Multiply and Divide by 6 - Boxgrove Primary School

© Classroom Secrets Limited 2018

Year 4 – Autumn Block 4 – Multiplication and Division

Step 7: Multiply and Divide

by 6

Introduction

Sort the following numbers under the correct headings on the Venn

diagram.


G

Multiples of 3 Multiples of 6

12

30

3 66421533

45

Introduction

Sort the following numbers under the correct headings on the Venn

diagram.


G


12

30

3

66

4215

33

45

Varied Fluency 1

Complete the calculations to match the picture.


x =

÷ =

Varied Fluency 1

Complete the calculations to match the picture.


7 x 6 = 42

42 ÷ 6 = 7

Varied Fluency 2

Tick the bar model which correctly represents the calculation

below.

8 x 6


48

6 6 6 6 6 6 6

48

6 6 6 6 6 6 6 6

A.

B.

Varied Fluency 2

Tick the bar model which correctly represents the calculation

below.

8 x 6

A.

B.


48

6 6 6 6 6 6 6

48

6 6 6 6 6 6 6 6


Varied Fluency 3

George has 18 coins. He shares them equally between 6 jars.

How many will be in each jar?

Draw the coins in the jars below to show this.

Write a calculation to show your answer.


Varied Fluency 3

George has 18 coins. He shares them equally between 6 jars.

How many will be in each jar?

Draw the coins in the jars below to show this.

Write a calculation to show your answer.

18 ÷ 6 = 3


Reasoning 1

Alex rolls a dice 10 times and it lands on 6 every time.

He says,

Do you agree with Alex? Explain your answer.

I got 66 altogether.


Reasoning 1


He says,


Alex is incorrect because…



Reasoning 1


He says,


Alex is incorrect because 10 x 6 = 60.



Reasoning 2

Lottie is trying to solve the calculation below.

30 ÷ 6 She says,

What has Lottie done wrong? Draw a bar model to show your

answer.

I think the answer is 6.30

6 6 6 6 6 6


Reasoning 2


30 ÷ 6 She says,


answer. Lottie has got the wrong answer because…


6 6 6 6 6 6


Reasoning 2


30 ÷ 6 She says,


answer. Lottie has got the wrong answer because 30 ÷ 6 = 5


6 6 6 6 6 6

30

5 5 5 5 5 5

Problem Solving 1

Using the cards below, create as many number sentences as you

can.


÷

= 742

6010 6

x

Problem Solving 1

Using the cards below, create as many number sentences as you

can.

Various answers, for example: 10 x 6 = 60; 42 ÷ 6 = 7


÷

= 742

6010 6

x



Step 8: 6 Times Table and

Division Facts

Introduction

Use the 6 times table to complete the multiplication wheel.


6

x 2 x 4

x 5x 6

x 10 x 12

x 8 x 9

Introduction

Use the 6 times table to complete the multiplication wheel.


6

x 2 x 4

x 5x 6

x 10 x 12

x 8 x 9

36

12 24

30

60 72

48 54

Varied Fluency 1

Complete the statements below.


80 x 6 =

300 ÷ 60 =

6 x = 360

540 ÷ = 90

Varied Fluency 1

Complete the statements below.


80 x 6 = 480

300 ÷ 60 = 5

6 x 60 = 360

540 ÷ 6 = 90

Varied Fluency 2

Match the calculations to their answers.


6 x 8

80 x 6

800 x 6

480

408

4,080

48

4,800


x =

Annabelle

Nina

÷ =

Varied Fluency 3

Annabelle buys 60 hair pins everyday for 7 seven days. Nina bought

540 hair pins over 6 days. Complete the calculation for each child.


Annabelle

Nina

Varied Fluency 3

Annabelle buys 60 hair pins everyday for 7 seven days. Nina bought

540 hair pins over 6 days. Complete the calculation for each child.

60 x 7 = 420

540 ÷ 6 = 90


Reasoning 1

Michelle is calculating 720 ÷ 60.

Is Michelle correct? Explain your answer.

Eleven lots of 60

makes 720.


Reasoning 1



No, Michelle is incorrect because…

Eleven lots of 60

makes 720.


Reasoning 1



No, Michelle is incorrect because eleven lots of 60 = 660. 12 lots of

60 = 720.

Eleven lots of 60

makes 720.

Reasoning 2

Qasim needs 360 wristbands for his concert. Wristbands are sold in

packets of 30.

The wholesale shop has 10 packets of wristbands.

Qasim buys all the packets available at the shop.

Has he bought enough wristbands for his concert? Prove it.


Reasoning 2


packets of 30.




No, Qasim has not bought enough wristbands because…


Reasoning 2


packets of 30.




No, Qasim has not bought enough wristbands because

30 x 10 = 300. He needs to buy 2 more packets.



Problem Solving 1

Match the children below to the correct multiples of 6.

180 540 240 420

My number is less than 30 x 12 and

has a digit sum of 6.

Martha

My number is greater than 120 but

less than 60 x 4.

My number is the sum of Martha

and Callum’s numbers and has a

digit sum of 6.

Callum

Bella


Problem Solving 1

Match the children below to the correct multiples of 6.

180

540

240

420

My number is less than 30 x 12 and

has a digit sum of 6.

Martha

My number is greater than 120 but

less than 60 x 4.

My number is the sum of Martha

and Callum’s numbers and has a

digit sum of 6.

Callum

Bella



Step 9: Multiply and Divide by 9

Introduction

Highlight all the multiples of 9 in the hundred square below.

What do you notice about the highlighted numbers?


1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

Varied Fluency 1

Write a multiplication and division calculation based on the bar

model.


÷ =

x =

63

7 7 7 7 7 7 7 7 7

Varied Fluency 1

Write a multiplication and division calculation based on the bar

model.


63 ÷ 9 = 7

7 x 9 = 63

63

7 7 7 7 7 7 7 7 7


Varied Fluency 2

Using the image below, complete the number sentences.

45 ÷ =

÷ 9 =

x 9 =

x = 45


Varied Fluency 2

Using the image below, complete the number sentences.

45 ÷ 5 = 9

45 ÷ 9 = 5

5 x 9 = 45

9 x 5 = 45

Varied Fluency 3

Circle the number sentences that are represented by the array.


3 x 9 = 27

27 ÷ 9 = 3

9 x 3 = 27

28 ÷ 8 = 3

Varied Fluency 4

Use the sentences to complete the calculations.

There are six 9s.

There are 11 lots of 9.


x =

x =

Varied Fluency 4

Use the sentences to complete the calculations.

There are six 9s.

There are 11 lots of 9.


6 x 9 = 54

11 x 9 = 99

Problem Solving 1

Junior is making an array with counters to represent the calculation

4 x 9 = 36.

He adds some counters to show how he would calculate 6 x 9.

Find and correct his mistake.


Problem Solving 1

Junior is making an array with counters to represent the calculation

4 x 9 = 36.

He adds some counters to show how he would calculate 6 x 9.

Find and correct his mistake.

Junior has added 2 columns of 4 counters which represents 11 x 4.

He should have added 2 more rows of 9 counters to find the correct

answer of 54.



Reasoning 1

Ameerah is packing plant pots in boxes. She can put 9 pots in each

box and each box is full.

Ameerah has between 20 and 40 plant pots.

How many boxes might she need?


Reasoning 1





Ameerah could have 27 or 36 plant pots so…


Reasoning 1





Ameerah could have 27 or 36 plant pots so she might need 3 (27 ÷ 9

= 3) or 4 (36 ÷ 9 = 4) boxes.


Reasoning 2

Riley and Anoop are comparing how many books they each have.

There are 9 books on each shelf.

Riley says,

Is he correct? Prove it.

Anoop has more books than

me because she has 7 full

shelves. I have 81 books.


Reasoning 2



Riley says,


Riley is incorrect because…





Reasoning 2



Riley says,


Riley is incorrect because Anoop has 7 x 9 = 63 books. 81 is more

than 63, so Riley has more.





Step 10: 9 Times Table and

Division Facts


Introduction

Put the numbers in the correct places in the Venn diagram below.

72

24

8142

60

54

18 63



Introduction

Put the numbers in the correct places in the Venn diagram below.


72

24

8142

6054

18

63


Varied Fluency 1

Complete the calculations below.

A. ÷ 7 = 9

B. 9 x = 270

C. x 9 = 360

D. 90 ÷ 10 =


Varied Fluency 1


A. 63 ÷ 7 = 9

B. 9 x 30 = 270

C. 40 x 9 = 360

D. 90 ÷ 10 = 9


Varied Fluency 2

Solve the calculations below and draw lines to the answers.

8 800 80

A. B.

÷ 9 = ÷ 9 =

720 7,200


Varied Fluency 2

Solve the calculations below and draw lines to the answers.


8 800 80

A. B.

÷ 9 = ÷ 9 =

720 7,200

Varied Fluency 3

Put a tick () or cross (x) in each box to show which facts below are

correct.

A. 180 ÷ 2 = 90

B. 6 x 90 = 690

C. 9 x 80 = 720

D. 540 = 50 x 9

E. 36 ÷ 9 = 40


Varied Fluency 3

Put a tick () or cross (x) in each box to show which facts below are

correct.

A. 180 ÷ 2 = 90

B. 6 x 90 = 690 x

C. 9 x 80 = 720

D. 540 = 50 x 9 x

E. 36 ÷ 9 = 40 x


Problem Solving 1

Use the numbers below to create four different calculations.

Numbers may be used more than once.

27 9

45 270

11 8

4 360

90 2


180 ÷ =

x 3 =

810

990 = x

÷ = 5

Problem Solving 1

Use the numbers below to create four different calculations.

Numbers may be used more than once.

Various answers, for example:

180 ÷ 90 = 2

9 x 3 = 27

810

990 = 90 x 11

45 ÷ 9 = 5

27 9

45 270

11 8

4 360

90 2


Problem Solving 2

Four children take part in a quiz at school. For each correct answer,

they receive 90 points.

How many questions did each child answer correctly?

Total number of points

Giovanni 810

Lucy 540

Anna 360

Aiden 270


Problem Solving 2

Four children take part in a quiz at school. For each correct answer,

they receive 90 points.

How many questions did each child answer correctly?

Giovanni = 9 questions (810 ÷ 90 = 9); Lucy = 6 questions (540 ÷ 90 =

6); Anna = 4 questions (360 ÷ 90 = 4) and Aiden = 3 questions (270 ÷ 90 = 3)

Total number of points

Giovanni 810

Lucy 540

Anna 360

Aiden 270



Reasoning 1

Brendan says,

What is Brendan’s number? Prove it.

I’m thinking of a 3-digit number that

is exactly divisible by 9. It has an

even amount of hundreds.

620 270 540

A. B. C.


Reasoning 1

Brendan says,


Brendan’s number is 270 because…




620 270 540

A. B. C.


Reasoning 1

Brendan says,


Brendan’s number is 270 because it is the only 3-digit number above

that is exactly divisible by 9 (270 ÷ 9 = 30) and it has an even amount of hundreds.




620 270 540

A. B. C.



Step 11: Multiply and Divide by 7

Introduction

Highlight all the multiples of 7 in the hundred square below.

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100


Varied Fluency 1

Create 2 calculations using the digit cards and symbol.

8 4 7 56 ÷

7 14 21 28 35 42 49 56 63 70 77 84


Varied Fluency 1

Create 2 calculations using the digit cards and symbol.

56 ÷ 7 = 8; 56 ÷ 8 = 7

7 14 21 28 35 42 49 56 63 70 77 84


8 4 7 56 ÷

Varied Fluency 2

Complete the statement below.

63 ÷ 7 = ?


Varied Fluency 2

Complete the statement below.

63 ÷ 7 = 9


Varied Fluency 3

Complete the part-whole model below.

8 x 73 x 7


Varied Fluency 3

Complete the part-whole model below.

77

5621


Reasoning 1

Which is the odd one out? Prove it.

42 ÷ 6 = 7 56 ÷ 8 = 7

7 x 8 = 56 48 ÷ 7 = 7

7 x 6 = 42


Reasoning 1


48 ÷ 7 = 7 is the odd one out because...

42 ÷ 6 = 7 56 ÷ 8 = 7

7 x 8 = 56 48 ÷ 7 = 7

7 x 6 = 42


Reasoning 1


48 ÷ 7 = 7 is the odd one out because 48 is not a multiple 7 so the

calculation is incorrect.

42 ÷ 6 = 7 56 ÷ 8 = 7

7 x 8 = 56 48 ÷ 7 = 7

7 x 6 = 42


Problem Solving 1

Travel through the maze using only multiples of 7.

6 27 7 42 29

35 84 70 46 34

32 52 49 70 42

28 14 22 82 90

12 5 13 36 107

Finish

Start

7 7 7 7 7 7 7 7 7 7 7 7


Problem Solving 1

Travel through the maze using only multiples of 7.

6 27 7 42 29

35 84 70 46 34

32 52 49 70 42

28 14 22 82 26

12 5 13 36 21

Finish

Start

7 7 7 7 7 7 7 7 7 7 7 7



Problem Solving 2

Write a word problem for each of the following calculations.

Now solve your word problems.


Problem Solving 2

Write a word problem for each of the following calculations.

Now solve your word problems.

Gino has 49 treats for his fish.

He has 7 fish. How many treats

do they each get?

49 ÷ 7 = 7

They get 7 treats each.

There are 4 muffins in a box

and I have 7 boxes. How many

are there altogether?

4 x 7 = 28

There are 28 muffins altogether.


Step 12: 7 Times Table and Division Facts


Introduction

Use your knowledge of the 7 times table to answer the questions as

quickly possible.

5 x 7 =

8 x 7 =

1 x 7 =

6 x 7 =

11 x 7 =

2 x 7 =

21 ÷ 7 =

63 ÷ 7 =

28 ÷ 7 =

49 ÷ 7 =

84 ÷ 7 =

70 ÷ 7 =


Introduction

Use your knowledge of the 7 times table to answer the questions as

quickly possible.


5 x 7 = 35

8 x 7 = 56

1 x 7 = 7

6 x 7 = 42

11 x 7 = 77

2 x 7 = 14

21 ÷ 7 = 3

63 ÷ 7 = 9

28 ÷ 7 = 4

49 ÷ 7 = 7

84 ÷ 7 = 12

70 ÷ 7 = 10

Varied Fluency 1



5 x 7 = A.

50 x 7 = B.

500 x 7 = C.

Varied Fluency 1



5 x 7 = A.

50 x 7 = B.

500 x 7 = C.

35

350

3,500

Varied Fluency 2

Match the calculations to the correct answers.


A. 12 x 7 = 840

B. 120 x 7 = 8,400

C. 1,200 x 7 = 84

Varied Fluency 3

Tick the number sentences that can be solved using the information

in the bar model.


28

7 7 7 7

4 x 7 = 28

28 ÷ 4 = 7

28 x 7 = 4

280 ÷ 7 = 40

Varied Fluency 3

Tick the number sentences that can be solved using the information

in the bar model.

28

7 7 7 7

4 x 7 = 28

28 ÷ 4 = 7

28 x 7 = 4

280 ÷ 7 = 40


Problem Solving 1

Using the cards, create two fact families for the 7 times table.


40 280600 x

4,200 7÷ =

Problem Solving 1

Using the cards, create two fact families for the 7 times table.


280600 x

4,200 7÷ =

7 x 40 = 280

40 x 7 = 280

280 ÷ 7 = 40280 ÷ 40 = 7

7 x 600 = 4,200

600 x 7 = 4,2004,200 ÷ 7 = 600

4,200 ÷ 600 = 7

40


Reasoning 1

Leo gets £1 per day for helping to cook the dinner.

He says,

Is Leo correct? Explain why or why not.

In 11 weeks I will have enough money

to buy a new smartwatch.


Reasoning 1


He says,


Leo is correct because…




Reasoning 1


He says,


Leo is correct because he earns £7 each week as there are 7 days

in a week. £7 x 11 = £77, so he will have £2 remaining after buying

his new smartwatch.




Reasoning 2

Joanna is thinking about the 7 times table.

She says,

Is she correct? Explain your answer.

If I know that 7 x 9 = 63, then I can

work out that 7 x 90 = 630.


Reasoning 2


She says,


Joanna is correct because…




Reasoning 2


She says,


Joanna is correct because if 7 x 9 = 63, then the answer needs to be

multiplied by 10 as 90 is 10 times more than 9. Therefore, 7 x 90 = 630

is correct.



Step 7: Multiply and Divide by 6 - Boxgrove Primary School

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