Reflections

This is the end of my Math Blog, I will continue to update it in the future if I had the opportunity. Now, I will be talking about the great times I had learning these concepts. This concept when taught by my Maths teacher in primary6, it is very useful in helping me to solve many of the challenging problems in primary 6, hence I hope from this Math Blog, the readers will also have a clear understanding of these concepts. If you wan to have a more detailed on these concepts, you can find the contents from the book "Challenging Maths Problems Made Easy" by Ammiel Wan Chee. Thank you and farewell.

Small Test

All right guys, today is the test which is to test your knowledge and skill about the 6 lessons. There will be a total of 6 questions and the total mark for this test is 20. Let begin now.

Question 1:

James had a number of coloured balls in his ball pit. 1/4 of the balls were red, 2/3 of the remaining balls were blue and the rest were green. Given that there were 120 red and green balls altogether, how many balls were there in the ball pit? (3 marks)

Question 2:

The ratio od the number of voters in Town A to that of Town B is 4:5. There are 20% more voters in Town C than in Town B. Given that there are 400 more voters in Town C than in Town A, find the total number of voters in the three towns. (3 marks)

Question 3:

80% of the area of Rectangle A is the same as 75% of the area of Rectangle B. Rectangle A is 5cm2 smaler than Rectangle B. Given that they both have a breadth of 5cm, find the difference in their perimeters. (3 marks)

Question 4:

There were 3/5 as many children as adults on a bus. At the next bus stop, 6 children and 5 adults boarded the bus. Then they were 3/4 as many children as adults on the bus. How many children were there on the bus at first? (3marks)

Question 5:

Ray had 75% as much as money as Paul. After Ray received $200 from his uncle and Paul spent $50. Ray had twice as much money as Paul. Find the sum of money Ray had at first. ( 4 marks)

Question 6:

There were 80 oranges and apples in a basketball at first. 2/5 of the oranges and 2/3 of the apples were eaten. In the end, there were 36 of these fruits left. How many oranges were there in the basket at first? (4 marks)

End of the Small Test. Check your work.

Answers:

Q1: 240
Q2: 3000
Q3: 2cm
Q4: 9
Q5: $180
Q6: 35


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

Use of the Number x Value Method on Real World

The Number x Value Method is not used as much as other concepts in the real world. But if people used this method well, the number and value of certain products will be able to find out in a very short of time. So, this is the benefit of Number x Value Method in the real life.

Last Lesson (Number x Value Method)

Today will be the last lesson and today's topics is the easiest of all, it is called the Number x Value Method. Unlike the Guess and Check method, the Number x Value method is used when relationships are involved in the question. People use this method to get the answer more efficiently by multiplying the number of units of each item with value of each item.

Question 1:

There are some 10cent and 20 cent coins in a box. There are thrice as many 10 cents coins as 20 cents coins. If the total amount of money in the box is $18, how many coins are there together?

Solution 1 :

Value (cents) --> 10 Number of units--> 3

Value (cents) --> 20 Number of units --> 1

Total amount:

3 x 10 =30
1 x 20 = 20

Total: 50units

Hence,
50units--> 18 x 1000= 1800
1unit--> 1800 divide 50 = 36
4units --> 4 x 36 = 144#


Question of the day:

A goldfish costs $12. An angelfish costs $3 less. Mr Ho paid $195 for some goldfish and angelfish. he bought thrice as many angelfish as goldfish.
a) How many fish did he buy altogether?
b) How much more did he spend on goldfish than angelfish?


Answer: a)20 b) $15

This is the end and there will be a small test two weeks later, please prepare well.

Use of the Simultaneous Concepts on Real World

Simultaneous Concept is very useful in many ways, firstly salesman who always had problems solving the number of products can always use this concept to accurately find out the number of products needed. Also, housewives can also use this method to go to the market to buy the right amount of food etc. And also this concept is very simple to comprehend, hence it is very useful even in the real world.

Lesson 5 (Simultaneous Concept)

This will be the second last of out lesson. So, listen carefully to today lesson and remember there will be a test after Lesson 6 which is the last lesson. Topics taught today will be called the Simultaneous Concept. This concept when used in the right way, can assist us to solve non-rountine problems efficiently.

Question1 :

There are 45 pupils in a class. 60% of the boys and 20% of the girls wear spectacles. There are 19 pupils in the class who wear spectacles. How many girls wear spectacles?

Solution1 :
60% of the boys + 20% of the girls --> 19pupils

300% of the boys + 100% of the girls --> 95pupils

100% of the boys + 100% of the girls --> 45 pupils

200% of the boys --> 95 - 45= 50 pupils

20% of the boys --> 50 divide 10= 5 pupils

100% of the boys --> 5 x 5= 25 pupils

Number of girls in the class = 45 - 25
= 20

Number of girls who wear spectacles = 20% of 20
= 20/100 x 20
= 4#


Question2 :

5 apples and 3 oranges cost $2.70 altogether. 2 apples and 4 oranges cost $2.20 altogether. How much does a dozen apple cost?

Solution2 :

5 Apples + 3 Oranges --> $2.70

2Apples + 4 Oranges --> $2.20

20apples + 12 oranges --> $10.80

6 apples + 12 oranges --> $ 6.60

14 apples --> $4.20
12apples --> $3.60#


Question of the day:

There were 80 oranges and apples in a basketball at first. 2/5 of the oranges and 2/3 of the apples were eaten. In the end, there were 36 of these fruits left. How many oranges were there in the basketball at first?

Answer: 35#

This is the end of Lesson 5.

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

Use of the External Transfer with Changed Quantities Concept on Real World

This concept can also be used for the saleman who is poor in Math. This concept is able to solve a lot of challenging problems faced by the salesman as models is rather difficult to use here. Hence, External Transfer with Changed Quantities Concept is very useful in the real world.