Primary 3 Mathematics Syllabus: Questions & Problems To Expect

Primary 3 Mathematics Syllabus in Singapore

The Primary 3 mathematics syllabus consists of 3 main branches – Numbers, Measurement and Geometry, and Statistics , in which almost 80% of these topics demand problem-solving abilities. Let us take a problem-solving perspective and examine these topics

Score Weightage in Mathematics Problem-Solving

In some of the top schools, the score weightage for heuristic problem-solving is as high as 68% in the Singapore Primary 3 mathematics syllabus. This weightage reflects the importance placed on problem-solving skills in the mid-year weighted-assessment (WA) and end-of-year (EYE) mathematics examinations. Questions involving Whole Numbers, Addition, Subtraction, Multiplication, Division, Money, Length, Mass, Volume, and Bar Graphs are commonly assessed through multiple-choice questions (MCQs), Open-ended questions and word problems.

Essential Math Concepts and Methods

Mathematical problem-solving requires an understanding of various concepts and methods. Here are the essential math concepts and methods that are important for your child’s development:

01. Assumption
02. Constant Difference
03. Constant Total
04. Division
05. Equal Amount (At First)
06. Equal Amount (End)
07. Guess & Check
08. More than/Less than
09. Multiplication
10. Part-whole
11. Repeated Identity
12. Unchanged Identity
13. Working Backwards
.
.

These math concepts help your child identify the characteristics of different problem types and apply appropriate problem-solving methods.

Breakdown of Topics and Examples

To further enhance your child’s problem-solving abilities, it’s important to practice solving math problems in specific topics. Below, you will find a breakdown of topics that demand problem-solving abilities, along with examples of math problems in each topic. Explore these examples to reinforce your child’s understanding and application of the math concepts and methods mentioned earlier.

01. Whole Numbers
02. Addition
03. Subtraction
04. Multiplication
05. Division
06. Money
07. Length
08. Mass
09. Volume
10. Bar Graphs
.
.

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Primary 3 Maths: Numbers

Whole Numbers, Addition, Subtraction, Multiplication, Division, Fractions, and Money are the Primary 3 math topics in the Numbers category. The majority of them demand problem-solving abilities.

Numbers up to 10,000

  • Count in hundreds & thousands
  • Determine the place values in thousands, hundreds, tens & ones
  • Read & write numbers in numerals & in words
  • Compare & order numbers
  • Complete number in pattern sequences

Addition & Subtraction

  • Add & subtract 4-digit numbers
  • Solve addition & subtraction word problems

Multiplication & Division

  • Multiply & divide with multiplication tables of 6 to 9
  • Division with remainder
  • Multiply & divide 3-digits by 1-digit
  • Solve number word problems with addition, subtraction, multiplication & division

Fractions

  • Equivalent fractions
  • Simplify a fraction
  • Compare & order fractions
  • Write equivalent fractions
  • Add and subtract 2 related fractions

Money

  • Add and subtract money in decimals
  • Solve money word problems in decimal with addition and subtraction

Primary 3 Maths: Measurement and Geometry

The Measurement and Geometry category in Primary 3 math includes topics such as Length, Mass, Volume, Time, Area, Perimeter, Angles, Perpendicular Lines, and Parallel Lines. Problem-solving abilities are particularly important for topics like Length, Mass, Volume, and Time.

Length, Mass & Volume

  • Measure length in km & volume in mℓ
  • Measure length/ mass/ volume in compound units
  • Convert between km, m & cm
  • Convert between kg & g
  • Convert between ℓ & mℓ
  • Solve word problems involving length/ mass/ volume

Time

  • Tell time to the minutes
  • Use of “past” and “to” in time
  • Measure time in hours & minutes
  • Convert time between hours & minutes to minutes
  • Solve problems involving time

Area & Perimeter

  • Find area and perimeter of a plane figure
  • Measure area in cm² & m²
  • Find perimeter of rectilinear figure, rectangle & square
  • Find area of rectangle & square

Geometry

  • Identify right angle, acute angles & obtuse angles
  • Identify perpendicular & parallel lines
  • Draw perpendicular & parallel lines

Primary 3 Maths: Statistics

Data Analysis, including the interpretation and analysis of Bar Graphs, is a primary school math topic in Primary 3 that demands problem-solving abilities.

Bar Graphs

  • Read bar graphs
  • Interpreting data
  • Solve problems involving bar graphs & its data

Primary 3 Maths: Problem-Solving

The Singapore Ministry of Education has established 11 problem-solving heuristics for primary mathematics learning. The use of these heuristics is covered in our Primary 3 BIGMath™ Lessons. Among the concepts and methods taught are Assumption, Constant Difference, Constant Total, Division, Equal Amount (At First), Equal Amount (End), Guess-and-Check, More than/Less than, Multiplication, Part-whole, Repeated Identity, Unchanged Identity, and Working Backwards. The following are some instances of word problems from prior years’ exams that need problem-solving skills

Assumption Concept
(Money)

Eg. An adult movie ticket is $8.00 and a child ticket is $5.00. Aunt Lily bought 10 adult and child movie tickets for $68.00. How many child movie tickets did she buy?

Constant Difference Concept
(Whole Numbers)

Eg. Ravi is 30 years older than his son now. In 5 years’ time, he will be 3 times as old as his son. How old is Ravi now?

Constant Total Concept
(Whole Numbers)

Eg. Ms Leong bought 4 boxes of oranges. Each box contained 168 oranges. She packed the oranges equally into 7 bags. How many oranges were there in each bag?

Division Concept
(Volume)

Eg. Jeffrey made 785 mℓ of lemonade. He poured equal amounts of the lemonade into 6 glasses and had 5 mℓ left. How much lemonade was there in each glass?

Equal Amount (At First) Concept
(Whole Numbers)

Eg. Ahmad and Ivan had an equal number of stickers at first. After Ivan gave Ahmad 190 stickers, Ahmad has 710 stickers in the end. How many stickers do they have altogether?

Guess & Check Concept
(Money)

Eg. Muthu bought a total of 15 pens and notebooks in a bookshop. He spent $48 altogether. Each pen cost $2 and each notebook cost $5. How many notebooks did he buy?

More than/Less than Concept
(Time)

Eg. Kai En started to make a kite at 9.00 a.m. He completed it at 10.40 a.m. Geoffrey took 15 min more than Kai En to make a kite. How long did Geoffrey take to make the kite?

Multiplication Concept
(Length)

Eg. The total length of 2 similar piece of rope is 5m. Find the total length of 8 such rope.

Part-Whole Concept
(Fractions)

Eg. Adeline ate 1/4 of a chocolate cake. Jenny ate 5/12 of the same cake. What fraction of the cake was left?

Repeated Identity Concept
(Mass)

Eg. Lucent is 6 kg lighter than Joseph. Wei Siong is 9 kg heavier than Joseph. The total mass of the 3 boys is 162 kg. Find Lucent’s mass.

Unchanged Identity Concept
(Volume)

Eg. Bottle A contained 560mℓ more water than Bottle B. After 1300mℓ of water was spilled out of Bottle A, Bottle B had thrice as much as Bottle A. How much water was in Bottle A at first?

Working Backwards Concept
(Volume)

Eg. A stall owner had some apples. In the morning, he sold 294 apples. In the afternoon. he bought another 100 apples. He had 262 apples in the end. How many apples did he have at first?

Equal Amount (End) Concept
(Bar Graphs)

2019 Raffles Girls’ Primary School P3 Semestral Assessment 2 Question 38 Bar Graph
Eg. Ethan had 190 marbles at first. Aini had 250 marbles and gave some marbles to Ethan so that both of them had the same number of marbles in the end. How many marbles did Aini give to Ethan?

What's Problem Sum?

Problem Sum is a term commonly used in the context of math education, particularly in regions that follow the Singapore Math curriculum. It refers to a type of math problem that typically involves multiple steps and requires students to apply various mathematical concepts and strategies to find the solution. These problems are often word problems that describe a real-world scenario, requiring students to read, comprehend, and analyze the situation before applying the appropriate math operations to solve it.

In essence, a Problem Sum combines elements of arithmetic and logical reasoning, challenging students to think critically and use their problem-solving skills. It is a key component in developing a deeper understanding of math concepts and enhancing analytical abilities in students.