Model Drawing 4

In this article, we will learn about Model Drawing and the learning objectives are: 

1. Word Problems involving 4 operations

Topic Recap:

Word problems involving multiplication

Example: 

There are 5 boxes. There are 8 cupcakes in each box. How many cupcakes are there in all?

Solution: 

There are 8 cupcakes in each box.                                                

Therefore, the total will be:

\(5 \times 8 = 40\)

There are 40 cupcakes in all. 

Answer:

40 cupcakes

Question 1: 

Hayley makes 6 apple pies. She uses 4 apples to make each pie. How many apples does she use in all?

1. 12
2. 24
3. 28
4. 30

Solution:

\(6 \times 4 = 24\)

Answer:

(2) 24

Topic Recap:

Word problems involving division

Example: 

Jill shares 18 pencils equally with 2 friends. How many pencils does each of them receive?

Solution:

3 people shared 18 pencils. 

Number of pencils each of them received

\(= 18 \div 3 \)

\(= 6\)

Each of them received 6 pencils. 

Answer:

6 pencils

Question 2: 

Daniel has a piece of wire 9 cm long. He cuts it into 3 equal pieces. How long is each piece of wire?

1. 1 cm
2. 24 cm
3. 3 cm
4. 27 cm

Solution:

\(9 \div 3 = 3\)

Answer:

(3) 3 cm

Question 3:

Jacky has 80 paper clips. He wants to place 10 paper clips in one box. How many boxes does he need?

Solution: 

\(80 \div 10 = 8    \)

Answer:

8 boxes
 

1. Word problems involving 4 operations

To solve a word problem, you can draw a model to help you visualise a question better. 

Example: 

Julie has 18 red markers and 14 blue markers. She packs the markers equally into 4 boxes. How many markers are there in each box?

Solution: 

Step 1:

Find the total number of markers.                               

\(18 + 14 = 32\)

Step 2:

Find the number of markers in each box.

\(32 \div 4 = 8\)

There are 8 markers in each box. 

Answer:

8 markers

Question 1: 

Sunny bought 12 red pencils and 15 blue pencils. He repacked all the pencils into packets of 3. He sold all the packets.

1. How many pencils did he buy altogether?
2. 22
3. 25
4. 27
5. 28

Solution:

\(12 + 15 = 27\)

Answer:

(3) 27

2. If he sold all the packets of pencils, how many packets did he sell?
3. 7
4. 8
5. 9
6. 10

Solution:

\(27 \div 3 = 9 \)

Answer:

(3) 9

Question 2:

There are 40 students in a class. There are 3 groups of 5 boys and the rest are girls.

1. How many boys are there in the class?
2. 12
3. 15
4. 18
5. 21

Solution:

\(3 \times 5 = 15\)

Answer:

(2) 15

2. How many girls are there in the class?
3. 15
4. 25
5. 35
6. 40

Solution: 

40 - 15 = 25

Answer:

(2) 25

Question 3: 

There were 7 children at a party. Mrs Lim gave 4 pencils to each child. She had 5 pencils left.

1. How many pencils did Mrs Lim give the children in all?
2.  14
3.  24
4.  27
5.  28

Solution: 

\(7 \div 4 = 28\)

Answer:

(4) 28

2. How many pencils did Mrs Lim have at first?
3. 20
4. 23
5. 33
6. 39

Solution: 

\(28 + 5 = 33 \)

Answer:

(3) 33

Question 4:

Mrs Ong baked 2 cakes. She cut each cake into 6 equal pieces. She then gave them equally to her 3 children. 

1. How many pieces of cake were there?
2. 8
3. 10
4. 12
5. 14

Solution:

\(2 \times 6 = 12\)

Answer:

(3) 12

2. How many pieces of cake did each child receive?
3. 5
4. 6
5. 3
6. 4

Solution:

\(12 \div 3 = 4 \)

Answer:

(4) 4

Question 5: 

Mr Tan has 29 roses. He wants to arrange them into 4 bouquets of 9 roses.

1. How many roses are needed for 4 bouquets?
2. 18
3. 27
4. 36
5. 45

Solution: 

\(4 \times 9 = 36\)

Answer:

(3) 36

2. How many more roses does he need?
3. 7
4. 20
5. 25
6. 65

Solution:

\(36 - 29 = 7\)

Answer:

(1) 7

In this article, we have learned about Multiplication and Division:

• Word problems involving 4 operations
  • Draw models to help you visualise a question better.