First Lesson (Remainder Concept)

All right guys, this will be our very first lesson. There will be a total of 10 weeks for us to master our Math Skills. So, today we will be learning about the Remainder Concept. Remainder Concept deals with fractions and percentages of the remainders. The recommended method to solve this type of word problems is usually by using the model method. However, model method has its constraints. Often, it depends largely on the numbers used in the questions to determine the complexity of the models.

Firstly, you have to learn about what is fractions and percentages. Go online to have a basic understanding of them. Now, I believe you have a clear understanding of fractions and percentages. Now I will be giving some simple questions for you to answer.

Question1 : Mr Tan used 1/2 of his salary to pay his bills and give 2/3 of the remainder to his wife. He saved the rest of the money. What is the fractions of the money received his wife and the rest of the money?

Solution1 : 1/2 = 3/6 (Bills) 2/3 x 1/2 (Amount of money left) = 2/6 = 1/3 (Wife)#
1/3 x 1/2 ( Rest of the savings) = 1/6 ( Savings) #

Statement: The fractions of the money received his wife and the rest of the money is 1/3 and 1/6.


Question 2 : Mr Tan spent $1280 of his salary on a television set and 1/3 of the remainder on a VCD player. If he had 2/5 of his salary left, how much was his salary?

Solution2 :

Total Salary :

$1280 (Television Set)

2/5 divide 2/3 = 3/5 (Remainder)

Remainder:

1/3 (VCD Player)

2/3 ( Rest of the Salary)

1/3 x 3/5 = 1/5 (Total)

2/3 x 3/5 = 2/5 (Total)

Hence: 2/5 of Total Money = $1280

2/5 : $1280

5/5 : $3200#



Question of the day:

Mrs Goh went to Nike Shopping Mall with $200. She spent 45% of her money on a shirt and 60% of the remainder on a pair of shoes.

a) How much did she spend on the pair of shoes? b) How much has she left?

Answer:

a) $66 b) $44

End of Lesson 1

Reference from the book "Challenging Maths Problems Made Easy" by Ammiel Wan Chee Hong