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Model Drawing 4
In this article, we will learn about Model Drawing and the learning objectives are:
- 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?
- 12
- 24
- 28
- 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 cm
- 24 cm
- 3 cm
- 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.
- How many pencils did he buy altogether?
- 22
- 25
- 27
- 28
Solution:
\(12 + 15 = 27\)
Answer:
(3) 27
- If he sold all the packets of pencils, how many packets did he sell?
- 7
- 8
- 9
- 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.
- How many boys are there in the class?
- 12
- 15
- 18
- 21
Solution:
\(3 \times 5 = 15\)
Answer:
(2) 15
- How many girls are there in the class?
- 15
- 25
- 35
- 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.
- How many pencils did Mrs Lim give the children in all?
- 14
- 24
- 27
- 28
Solution:
\(7 \div 4 = 28\)
Answer:
(4) 28
- How many pencils did Mrs Lim have at first?
- 20
- 23
- 33
- 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.
- How many pieces of cake were there?
- 8
- 10
- 12
- 14
Solution:
\(2 \times 6 = 12\)
Answer:
(3) 12
- How many pieces of cake did each child receive?
- 5
- 6
- 3
- 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.
- How many roses are needed for 4 bouquets?
- 18
- 27
- 36
- 45
Solution:
\(4 \times 9 = 36\)
Answer:
(3) 36
- How many more roses does he need?
- 7
- 20
- 25
- 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.
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