We at Matrix Math and Model Math have curated a comprehensive list of frequently tested primary 5 heuristic concepts to assist students in comprehending the fundamental building blocks that constitute complex heuristic problem sums. By mastering the concepts featured in our series of educational videos, we are confident that students can significantly enhance their mathematical proficiency and excel in this subject. We aim to provide weekly updates to this page, so please visit us regularly for new learning materials.

### Primary 5

#### Math Tuition Lesson 3

###### Quantity and value involving total difference

There are 3/5 as many boys as girls at a party. Each boy is given 4 balloons and each girl is given 2 balloons. The total number of balloons received by the boys is 200 more than the girls. How many boys were at the party?

###### Quantity and value involving extra quantity and total diff in value (Example 1)

###### Quantity and value involving extra quantity and total diff in value (Example 2)

Peter bought 6 more chairs than tables. A table cost $36 and a chair cost $18. If he paid $396 more for the tables than the chairs, how many chairs are there?

###### How to solve simultaneous statements?

Simultaneous statements were first introduced in Primary 4. This example is a Primary 5 simultaneous question. “Simultaneous concept” is arithmetic math. It is solving 2 unknowns with 2 number statements. This is a useful skill to acquire early in the year as it can be applied to solve subsequent problem sums.

#### Math Tuition Lesson 4

###### Quantity External Transfer using model (Example 1)

###### Quantity External Transfer using model (Example 2)

###### Quantity Internal Transfer using model

###### Quantity Internal Transfer with Scenarios

#### Math Tuition Lesson 5

###### Multiplication of Fractions

###### Division of Fractions

###### Multiplication of mixed number with a fraction

###### Fraction as units vs as measurement

#### Math Tuition Lesson 7

###### Remainder Concept with + values

###### Remainder Concept with +/– values and 2 branches

#### Math Tuition Lesson 8

###### Remainder concept with unknown remainder 1

###### Remainder concept with unknown remainder 2

###### Remainder concept with unknown remainder 3

#### Math Tuition Lesson 9

###### Difference concept

###### Shortage and Surplus

###### Quantity Internal Transfer

#### Math Tuition Lesson 10

###### Area of triangle application

###### Area of composite figures

#### Math Tuition Lesson 11

###### Area of triangles involving folded figures

###### Triangles in square grids

#### Math Tuition Lesson 12

###### Ratio involving Part and Whole

###### Ratio and fraction relationship

###### Quantity value with extra quantity revision

#### Math Tuition Lesson 13

###### Ratio, Identify Common Base. Group as Common Base

###### Ratio, Identify Common Base. Total as Common Base

###### Ratio, Equivalent Proportion

#### Math Tuition Lesson 17

###### Ratio involving unchanged total

###### Ratio involving unchanged difference

There were 144 children and three times as many adults at a school football match. An equal number of children and adults left in the middle of the match. At the end of the match, there were 7 times as many adults as children. How many children were there at the end of the match?

###### Distribution of difference

Ten boys were tasked to paint the chairs in an auditorium. One of them fell sick and the rest had to paint 6 more chairs each. How many chairs did they have to paint altogether?

#### Math Tuition Lesson 20

###### Proportion External Transfer with Remainder theory

Peter spent 1/6 of his money on a pair of shoes and 1/2 of the remainder on a pair of headphones. After that, his mother gave him $1292. Now Peter has twice of his original amount of money. How much money did he have at first?

###### Reasoning Fractions

I am thinking of a fraction. The difference between the numerator and the denominator is 23. When 5 is added to the denominator, the fraction becomes 1/5. What is the fraction?

#### Math Tuition Lesson 21

###### Volume involve working forward/backwards

###### Difference unchanged concept

John gets $8 more allowance than Yenni each week. Every week, each of them spends $36 on food and saves the rest. When John saves $108 Yenni saves $60.

a) How many weeks does John take to save $108?

b) How much allowance does John get each week?

###### Remainder Theory

Peter spent 1/4 of his money to buy a bag. He spent 2/5 of the remainder on 4 shirts and saved the rest.

a) What fraction of Peter’s money did he spend on the 4 shirts?

b) The bag cost $168 more than one shirt. Given that the price of each shirt was the same, how much did Peter save?

#### Math Tuition Lesson 25

###### Proportion External Transfer

How much money did Peter have at first?