Primary School Mathematics Collection (Shared Copy)

Lew W. S., Mar 18, 2020

This is an ongoing effort to collate a collection of applets for primary school mathematics (Ages 6 to 12) These applets are created by various contributors across the globe. Currently maintained by lewws and. The MOE Primary School Syllabus is publicly available at [url]https://www.moe.gov.sg/docs/default-source/document/education/syllabuses/sciences/files/mathematics_syllabus_primary_1_to_6.pdf[/url] and the site [url]https://practicle.sg/primary-6/math-syllabus/[/url] also has the curriculum items tabled. In this compilation of useful T&L resources on Geogebra Materials, we shall attempt to use the structure that they have presented. It is being curated by some Singapore teachers, and if you wish to join in help in compiling, please message me on Messenger. You are always welcome to make a copy of the Geogebra Book for school use.

Table of Contents

  1. Numbers
    1. nlhukhlTwo-digit whole numbers
    2. Three-digit whole numbers
    3. Telling Time to 5 minutes
    4. Part-Part-Whole Model using Bar and Circles
    5. Part-Part-Whole Estimation
    6. Counting from 1 to 10 (Self Practice)
    7. The Long Division Process
    8. TG Long Division with Whole Numbers
    9. IM 6.5.10 Lesson: Using Long Division
    10. IM 6.5.10 Practice: Using Long Division
  2. Fractions and Decimals
    1. Fraction Division1:　a ÷ b (Partitive)
    2. Comparing fractions using number lines and circles
    3. Fraction Division5:　x ÷ a/b (Quotitive)
    4. Fraction Division1:　a ÷ b (Partitive)
    5. fraction multiplication
    6. Fractions and Decimals
    7. Locating Fractions on a Number Line (1)
    8. Fraction Relationships with Visual Models
    9. Pedro's String (1)
    10. Illustrating Addition and Subtraction of Proper Fractions
    11. Fraction Division2:　p/q ÷ b (Partitive)
    12. Adding Fractions - Visual
    13. Improper Fractions and Mixed Numbers
    14. Improper Fractions
    15. Division of fractions
    16. Multiplying and Dividing Fractions
    17. Dividing a Whole Number by a Fraction
    18. Addition gleichnamiger Brüche
    19. visualisation of fractions / Darstellung von Brüchen
    20. Množenje razlomaka / Multiplying fractions
    21. Expanding Fractions
    22. Ordenar fracciones
    23. Hexágono de fracciones
    24. Multiplying Fractions - Area Model
    25. Expanding and Reducing Fractions
    26. Positioning Fractions on the Number Line
    27. Fraction Division 2：a ÷ b（quotitive）
    28. Fraction Division 4：n ÷ a/b（quotitive）
    29. Fraction Division 3：a/b ÷ n（partitive）
    30. Fraction Multiplication
    31. Equivalent ftraction
    32. NS3-02-P2-Q3 Equivalent Ratio Divide Diagram
    33. Comparing Fractions
    34. Comparing Fractions
    35. Operations between fractions: formative assessment
    36. Equivalent Fractions Puzzle
    37. Area Models for Improper Fractions
    38. Add Fractions using Area models
    39. Multiplication de fractions
    40. Comparing Fractions
    41. Fractions and hours
    42. Expanding and Reducing Fractions
    43. Ordering Simple Fractions
    44. Equivalent fractions with area model
    45. Equivalent fractions with number lines
    46. Fraction Workbench - decomposing fractions
    47. Fractions Division
    48. Equivalent Fractions
    49. Proof without words: Division of fractions
    50. Division of fractions with Patrick
    51. Fraction and Division
    52. Decimal Multiplication
    53. Place Value for Decimals
    54. Translating between decimal and percentage
    55. Arranging fractions, decimals, and percents
    56. Locating fractions and decimals on a number line
    57. Locating decimals on a number line
    58. IM Grade 6 Math: Unit 5 - Arithmetic in Base Ten
    59. Division is Repeated Subtraction
    60. Fraction Division
    61. Multiplication of Fractions Visualized
  3. Ratio
    1. NS3-01-P3-Q4 Ratio Word Problem
    2. Bar Model Maker for Ratios
    3. Ratios and Proportions Exploration 1.4
    4. NS3-01-P1-Q2 Find Ratio from Image
    5. NS3-01-P2-Q3 Find Items to Match Ratio
    6. Dividing in a Ratio 按比分物
  4. Proportion and Rate
    1. Bar Model for Problems on Ratio Rate Direct Proportion
    2. Solving Proportions
    3. Mixing Paint
    4. Comparing Mixtures (12 cups)
  5. Percentage
    1. Solving percents with a bar model
  6. Speed
    1. Distance Time Graph For Self Directed Learning
    2. Speed, Distance & Time in Motion (RACE CAR)
  7. Geometry
    1. Types of Triangles
    2. Area of Circles
    3. Tangram Construction
    4. Symmetry Exercises for Kids
    5. Acute Obtuse or Reflex Angles
    6. Graphing on Graph Paper
    7. Geogebra Book on Recognize, Name and Sort Geometric Figures
  8. Perimeter and Area
    1. Measuring Circumference and Diameter
    2. Forming Composite Figures with given area and or perimeter (using unit squares)
    3. Composite Figure Template (3 colour)
  9. Links to Other Primary Math Geogebra Books
    1. Geogebra Resources by Others on Primary Mathematics
  10. Miscellanous, Uncategorized Resources
    1. Curriculum items for Primary 6
    2. Let's Build Prisms
    3. Cavalieri's Principle

1.

Numbers

  • 1. nlhukhlTwo-digit whole numbers
  • 2. Three-digit whole numbers
  • 3. Telling Time to 5 minutes
  • 4. Part-Part-Whole Model using Bar and Circles
  • 5. Part-Part-Whole Estimation
  • 6. Counting from 1 to 10 (Self Practice)
  • 7. The Long Division Process
  • 8. TG Long Division with Whole Numbers
  • 9. IM 6.5.10 Lesson: Using Long Division
  • 10. IM 6.5.10 Practice: Using Long Division

1.1.

nlhukhlTwo-digit whole numbers

Visualizing the meaning of two-digit numbers.
(Try moving the black slider.)
– Roy Wright

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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2.

Fractions and Decimals

  • 1. Fraction Division1:　a ÷ b (Partitive)
  • 2. Comparing fractions using number lines and circles
  • 3. Fraction Division5:　x ÷ a/b (Quotitive)
  • 4. Fraction Division1:　a ÷ b (Partitive)
  • 5. fraction multiplication
  • 6. Fractions and Decimals
  • 7. Locating Fractions on a Number Line (1)
  • 8. Fraction Relationships with Visual Models
  • 9. Pedro's String (1)
  • 10. Illustrating Addition and Subtraction of Proper Fractions
  • 11. Fraction Division2:　p/q ÷ b (Partitive)
  • 12. Adding Fractions - Visual
  • 13. Improper Fractions and Mixed Numbers
  • 14. Improper Fractions
  • 15. Division of fractions
  • 16. Multiplying and Dividing Fractions
  • 17. Dividing a Whole Number by a Fraction
  • 18. Addition gleichnamiger Brüche
  • 19. visualisation of fractions / Darstellung von Brüchen
  • 20. Množenje razlomaka / Multiplying fractions
  • 21. Expanding Fractions
  • 22. Ordenar fracciones
  • 23. Hexágono de fracciones
  • 24. Multiplying Fractions - Area Model
  • 25. Expanding and Reducing Fractions
  • 26. Positioning Fractions on the Number Line
  • 27. Fraction Division 2：a ÷ b（quotitive）
  • 28. Fraction Division 4：n ÷ a/b（quotitive）
  • 29. Fraction Division 3：a/b ÷ n（partitive）
  • 30. Fraction Multiplication
  • 31. Equivalent ftraction
  • 32. NS3-02-P2-Q3 Equivalent Ratio Divide Diagram
  • 33. Comparing Fractions
  • 34. Comparing Fractions
  • 35. Operations between fractions: formative assessment
  • 36. Equivalent Fractions Puzzle
  • 37. Area Models for Improper Fractions
  • 38. Add Fractions using Area models
  • 39. Multiplication de fractions
  • 40. Comparing Fractions
  • 41. Fractions and hours
  • 42. Expanding and Reducing Fractions
  • 43. Ordering Simple Fractions
  • 44. Equivalent fractions with area model
  • 45. Equivalent fractions with number lines
  • 46. Fraction Workbench - decomposing fractions
  • 47. Fractions Division
  • 48. Equivalent Fractions
  • 49. Proof without words: Division of fractions
  • 50. Division of fractions with Patrick
  • 51. Fraction and Division
  • 52. Decimal Multiplication
  • 53. Place Value for Decimals
  • 54. Translating between decimal and percentage
  • 55. Arranging fractions, decimals, and percents
  • 56. Locating fractions and decimals on a number line
  • 57. Locating decimals on a number line
  • 58. IM Grade 6 Math: Unit 5 - Arithmetic in Base Ten
  • 59. Division is Repeated Subtraction
  • 60. Fraction Division
  • 61. Multiplication of Fractions Visualized

2.1.

Fraction Division1:　a ÷ b (Partitive)

(a)　How many pizzas will each person receive if 1 pizza is divided among: [br]　　(i) 2 people; 　(ii) 3 people;　(iii) 4 people?[br][br](b)　How many pizzas will each person receive if each of the following numbers of pizzas are divided among 3 people?[br]　　(i) 2 pizzas 　(ii) 4 pizzas　(iii) 5 pizzas[br][br]In general, how would you calculate a ÷ b ?
中文版：http://www.geogebratube.org/student/m14540[br]Anthony Or. GeoGebra Institute of Hong Kong.[br]orchiming@gmail.com
– Anthony OR 柯志明

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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2.17.

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2.18.

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2.19.

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2.20.

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2.22.

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2.24.

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2.26.

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2.27.

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2.28.

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2.29.

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2.30.

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2.32.

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2.33.

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2.34.

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2.35.

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2.36.

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2.37.

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2.38.

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2.39.

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2.40.

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2.41.

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2.42.

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2.43.

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2.44.

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2.45.

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2.46.

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2.47.

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2.48.

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2.49.

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2.50.

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2.51.

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2.52.

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2.53.

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2.55.

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2.56.

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2.57.

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2.58.

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2.59.

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2.60.

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2.61.

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3.

Ratio

  • 1. NS3-01-P3-Q4 Ratio Word Problem
  • 2. Bar Model Maker for Ratios
  • 3. Ratios and Proportions Exploration 1.4
  • 4. NS3-01-P1-Q2 Find Ratio from Image
  • 5. NS3-01-P2-Q3 Find Items to Match Ratio
  • 6. Dividing in a Ratio 按比分物

3.1.

NS3-01-P3-Q4 Ratio Word Problem

– cemccourseware

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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4.

Proportion and Rate

  • 1. Bar Model for Problems on Ratio Rate Direct Proportion
  • 2. Solving Proportions
  • 3. Mixing Paint
  • 4. Comparing Mixtures (12 cups)

4.1.

Bar Model for Problems on Ratio Rate Direct Proportion

Use this applet to understand arithmetic problems related to rate, ratio, direct proportion.[br][br]Do you know why when we do arithmetic involving ratio, rate and direct proportion[br]we always divide to a single unit of the item on the left before multiplying to get the answer?[br][br]After manipulating and exploring the Bar Model applet below, do you get the concept now?
– Lew W. S.

4.2.

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4.3.

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4.4.

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5.

Percentage

  • 1. Solving percents with a bar model

5.1.

Solving percents with a bar model

Using the Singapore Bar Model to understand three different ways to solve a percent problem.
– Duane Habecker

6.

Speed

  • 1. Distance Time Graph For Self Directed Learning
  • 2. Speed, Distance & Time in Motion (RACE CAR)

6.1.

Distance Time Graph For Self Directed Learning

Visualize the Distance Time Graph (Self Directed Learning)
Use the ShowViewScaleControls checkbox to display other controls for adjusting the distance time graph for any problem you wish to understand and solve
– Lew W. S.

6.2.

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7.

Geometry

  • 1. Types of Triangles
  • 2. Area of Circles
  • 3. Tangram Construction
  • 4. Symmetry Exercises for Kids
  • 5. Acute Obtuse or Reflex Angles
  • 6. Graphing on Graph Paper
  • 7. Geogebra Book on Recognize, Name and Sort Geometric Figures

7.1.

Types of Triangles

Drag point C. [br][br]Create the different types of triangles: scalene, acute, isosceles, obtuse, equilateral, right.
This application shows approximations of ideal types.
– GeoGebra Materials Team

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7.4.

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7.5.

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7.6.

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8.

Perimeter and Area

  • 1. Measuring Circumference and Diameter
  • 2. Forming Composite Figures with given area and or perimeter (using unit squares)
  • 3. Composite Figure Template (3 colour)

8.1.

Measuring Circumference and Diameter

What is the relationship between the diameter and the circumference of a circle?
– Jennifer Silverman

8.2.

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8.3.

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9.

Links to Other Primary Math Geogebra Books

  • 1. Geogebra Resources by Others on Primary Mathematics

9.1.

Geogebra Resources by Others on Primary Mathematics

Jessica's Fraction Book[br][url=https://www.geogebra.org/m/edxwq9jv]https://www.geogebra.org/m/edxwq9jv[/url][br][br]Elementary School Applets[url=https://www.geogebra.org/material/show/id/rSjV8S8q][br]https://www.geogebra.org/material/show/id/rSjV8S8q[/url][br][br]HTML5 Collection for Primary Mathematics[br][url=https://www.geogebra.org/material/show/id/aHUtYYRK]https://www.geogebra.org/material/show/id/aHUtYYRK[/url]  (Tablet friendly applets)[br][br]Frazioni, percentuali by [url=https://www.geogebra.org/u/leucotea]leucotea[/url][br][url=https://www.geogebra.org/m/HjGAVbR2]https://www.geogebra.org/m/HjGAVbR2[br][br][/url]EngageNY / Eureka Math by [url=https://www.geogebra.org/u/dhabecker]Duane Habecker[/url][br][url=https://www.geogebra.org/m/ua4yNy75]https://www.geogebra.org/m/ua4yNy75[br][br][/url]Primary Math Contests by [url=https://www.geogebra.org/u/msalee]Arthur Lee[/url][br][url=https://www.geogebra.org/m/D4pCGA6D]https://www.geogebra.org/m/D4pCGA6D[br][br][/url]HTML5 collection from Primary Contest by [url=https://www.geogebra.org/u/geogebra+institute+of+hong+kong]GeoGebra Institute of Hong Kong[br][/url][url=https://www.geogebra.org/m/vEXSFTNk]https://www.geogebra.org/m/vEXSFTNk[br][br][/url]Elementary School Math: 300+ Resources by [url=https://www.geogebra.org/u/geogebrateam]GeoGebra Team[br][/url][url=https://www.geogebra.org/m/xnrmmkjt]https://www.geogebra.org/m/xnrmmkjt[/url]
– Lew W. S.

10.

Miscellanous, Uncategorized Resources

  • 1. Curriculum items for Primary 6
  • 2. Let's Build Prisms
  • 3. Cavalieri's Principle

10.1.

Curriculum items for Primary 6

Primary Six Syllabus[br][br]Numbers and Algebra[br][br]ALGEBRA[br]Notate & Interpret Simple Algebraic Expressions[br]Solve Simple Equations[br]Solve Simple Linear Equations[br]Solve Simple Linear Expressions by Substitution[br]Form & Solve Simple Linear Equations in Problem Sums[br][br]WHOLE NUMBERS[br]Read & Write Numbers Up to 1 Mil*[br]Apply Order of Operations*[br]Divide by 10, 100, 1000 & their Multiples*[br]Multiply with 10, 100, 1000 & their Multiples*[br]Solve Problem Sums Involving 4 Operations*[br][br]FRACTIONS[br]Divide Whole Number by Proper Fraction[br]Divide Proper Fraction by Proper Fraction[br]Divide Proper Fraction by Whole Number[br]Solve Fraction Problem Sums[br][br]DECIMALS[br]Convert Measurements of Length, Mass & Volume*[br]Divide Decimals by 10, 100 1000 & their Multiples*[br]Multiply Decimals by 10, 100 1000 & their Multiples*[br]Solve Problem Sums Involving 4 Operations*[br][br]PERCENTAGES[br]Find the Whole given a Part of the Percentage[br]Find Percentage Increase/Decrease[br]Solve Problem Sums Involving Percentages[br][br]RATIO[br]Understand the Relationship Between Fractions & Ratio[br]Find Ratio of 2 Quantities in Direct Proportion[br]Solve Problem Sums Involving 3 Quantities[br]Solve Problem Sums that Involves Changing Ratio[br][br]SPEED[br]Write Speed in Different Units[br]Find Time, given Distance and Speed[br]Find Speed, given Time and Distance[br]Find Distance, given Time and Speed[br]Solve Problem Sums Involving Speed[br]Differentiate between Speed & Average Speed[br][br]Measurement and Geometry[br][br]CIRCLES[br]Find Diameter of Circle, given Radius & Vice Versa[br]Estimate Area of Circle Using a Square Grid[br]Find Area/Circumference of Circle[br]Find Area/Perimeter of Semi Circle[br]Find Area/Perimeter of Quarter Circle[br]Find Area of Composite Figures[br]Find Perimeter of Composite Figures[br][br]VOLUME[br]Find 1 Dimension of Cuboid, given Volume & Other Dimensions[br]Find Length of 1 Edge of Cube, given Volume[br]Find Height of Cuboid, given Volume and Base Area[br]Find Area of a Face of Cuboid, given Volume and 1 Dimension[br]Solve Problem Sums Involving Volume of Liquid[br][br]ANGLES[br]Find Unknown Angles in Composite Figures[br][br]2D/3D SHAPES[br]Associate 2-D Drawings with 3-D Solids[br]Visualize Prisms, Cylinders, Pyramids & Cones from Drawings[br]Draw 2-D Representations of Solids[br]Convert measurements of length, mass & volume[br]Identify the Solid that can be Formed by a Given Net[br]Identify the Net that can be Used to Form a Given Solid[br][br][br]Source : Site at [url]https://practicle.sg/primary-6/math-syllabus/[/url][br]
– Lew W. S.

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10.3.

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Information