# How to use Tables for PSLE Math

How do we use Models and Tables for PSLE Math? Models and Tables are very good visual aids when solving PSLE Math problem sums. Sometimes, parents and teachers teach students algebra methods to solve PSLE Math problem sums. However, primary school students don’t have strong foundations on Algebra yet. So using Models and Tables will help them to understand the question in a better way.

Today, we shall explore how to use Tables to solve a PSLE Math question. This type of questions can be commonly found in exam papers. Students usually stumble or give up on this type of questions. Tables will help you to see the flow and relationships clearly.

Example: If Sam gives Terry $350, he will have 4 times as much money as Terry. If Sam gives Terry $550, he will have thrice as much money as Terry. How much money does Sam have ?

Solutions:

Focus on the first scenario. Fill in the final ratio and the changes.

Sam | Terry | |

Before | ||

Change | – 350 | + 350 |

After | 4u | 1u |

Work Backwards and find the starting ratio

Sam | Terry | |

Before | 4u + 350 | 1u – 350 |

Change | – 350 | + 350 |

After | 4u | 1u |

Now, focus on the second scenario. Keep the “before” ratio the same and apply the changes.

Sam | Terry | |

Before | 4u + 350 | 1u – 350 |

Change | – 550 | + 550 |

After |

Work out the final ratio

Sam | Terry | |

Before | 4u + 350 | 1u – 350 |

Change | – 550 | + 550 |

After | 4u – 200 | 1u + 200 |

Since the question says, Sam has thrice of Terry, we will have the following equation:

3 * Terry = Sam

3 * (1u + 200) = 4u – 200

3u + 600 = 4u – 200

1u = 800

So, amount of Sam’s money = 4 * 800 + 350 = $3550

Check your answer!

Let’s use scenario 1 to check our answer.

Terry’s money = 800 – 350 = 450

If Sam has $3550 and gives $350 to Terry,

Sam : Terry

= 3550 – 350 : 450 + 350

= 3200 : 800

= 4: 1 (Correct!)

You can use scenario 2 to check too.

Now it’s your turn to try!

1) Keith and Shawn each have some money. If Keith spends $38, the ratio of the amount of money Keith has to the amount of money Shawn has will become 2:5. If Shawn spends $38, the ratio will become 8:13. How much money does each boy have? (Ans: 152, 285)

2) Susan has some vanilla and chocolate sweets in her bag. If she adds 20 vanilla sweets into the bag, the percentage of vanilla sweets in the bag becomes 40%. If she adds 30 chocolate sweets, there will be 70% of chocolate sweets in the bag. How many vanilla and chocolate sweets does she have? (Ans: 210)

3) Vicky and her sister have a sum of money . If Vicky gives $120 to her sister, she will have 3 times as much money as her sister. If Vicky gives an additional $40 to her sister, she will have $240 more than her sister. How much money does her sister have? (Ans: $40)

**Contact Us!**

Math is one of the few subjects that you can easily train/practise till you score an **A**. At Grade Solution Learning Centre, we will teach your child how to break down complicated problem sums into easy, solvable steps. Check out our schedule here >>> https://gradesolution.com.sg/schedule/

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By Jimmy Ling

Director, Math Tutor

Grade Solution Learning Centre