Chapter Overview

Maths

Correspondence problems

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Correspondence problems

​​In a nutshell

Correspondence involves two or more connected items. In mathematics, correspondence problems are used to find the total number of combinations which can be made between connected things.



Listing combinations

Tables are used to  identify all the possible combinations which can be made between groups of items, in order to solve correspondence problems.  


Example 1

Vanessa has 33 fruits and 22 desserts. She would like to have 11 of each. What combinations of fruit and dessert can Vanessa have?


Maths; Multiplication and division; KS2 Year 3; Correspondence problems

Grapes

Maths; Multiplication and division; KS2 Year 3; Correspondence problems
Apple
Maths; Multiplication and division; KS2 Year 3; Correspondence problems

Tomato

Maths; Multiplication and division; KS2 Year 3; Correspondence problems

Doughnut

Maths; Multiplication and division; KS2 Year 3; Correspondence problems
Chocolate



Fruit

Dessert

Grapes                          

Chocolate                   

Apple

Chocolate

Tomato

Chocolate

Grapes

Doughnut 

Apple

Doughnut

Tomato

Doughnut


Count the total number of combinations or rows in the table. 


There are six different combinations of fruit and dessert Vanessa can make. 


Note: Find all the combinations that can be made with one item first, then move onto the next item. 



Correspondence problems using multiplication

Sometimes, in correspondence problems, there are too many combinations to list in a table. Instead, multiplication can be used to find the total number of combinations. 


Example 2

Ronaldo wants a drink and a snack. He can choose from 55 drinks and 33​ snacks. How many combinations of drinks and snacks can be made?


There are 55​ drinks. 


Each drink can be paired with 33different snacks.


This means, there are 55 lots of 33 combinations between drinks and snacks. 


5×3=15\underline{5 \times 3 = 15} combinations


Frequently Asked Questions (FAQ)

FAQs

  • Question: What method can be used to quickly solve correspondence problems?

    Answer: Multiplication can be used to find the total number of combinations.

  • Question: Why are tables used in correspondence problems?

    Answer: Tables can be used to identify all the possible combinations which can be made between groups of items.

  • Question: Why are correspondence problems used?

    Answer: Correspondence problems are used to find the total number of combinations.

Theory

Exercises

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