Year 3 Mathematics

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🧮 Year 3 Mathematics UASA Revision Notes (With Examples & Visuals)

1️⃣ Write the Number

Explanation: Read and write numbers in numerals and words. Practice numbers up to 10,000.

Example

Numeral: 827 → In words: eight hundred twenty-seven

Write the number / place value

2️⃣ Digit Value / Place Value

Explanation: Each digit has a value depending on its place — ones, tens, hundreds, thousands.

Example

In 3,472: 3 = thousands (3,000), 4 = hundreds (400), 7 = tens (70), 2 = ones (2).

Place value chart

3️⃣ Partition (Number Expansion)

Explanation: Break numbers into place-value parts to understand structure and simplify calculations.

Example

4,253 = 4,000 + 200 + 50 + 3

4️⃣ Arrange the Numbers

Explanation: Order numbers in ascending (small → large) or descending (large → small) order.

Example

Ascending: 4,327, 4,372, 4,397
Descending: 890, 675, 432

5️⃣ Round Off

Explanation: Round to the nearest ten, hundred, or thousand.

Examples

  • 67 → nearest ten = 70
  • 843 → nearest hundred = 800

6️⃣ Addition

Explanation: Combine two or more numbers. Use column method for larger numbers.

Example

  324
+ 245
-----
  569

7️⃣ Subtraction

Explanation: Take away one number from another. Borrow when a top digit is smaller.

Example

  725
- 438
-----
  287

8️⃣ Multiplication

Explanation: Repeated addition. Learn times tables (1–12) and simple column multiplication.

Examples

  • 4 × 3 = 12 (4 + 4 + 4)
  • 23 × 4 = 92
Multiplication worksheets

9️⃣ Division

Explanation: Share into equal groups or find how many times one number fits into another.

Examples

  • 12 ÷ 3 = 4
  • 42 ÷ 6 = 7

🔟 Fraction

Explanation: A fraction represents a part of a whole. Numerator = parts taken, Denominator = total equal parts.

Examples

  • ½ = one of two equal parts
  • If 3 of 8 pizza slices are eaten → eaten = 3/8
Fraction visual

🏁 Convert Units

Explanation: Convert between metric units: length, mass, volume and time.

Examples

  • 100 cm = 1 m
  • 1,000 g = 1 kg
  • 60 minutes = 1 hour
Conversion chart

🔷 Polygon

Explanation: A polygon is a closed figure with straight sides. Identify by number of sides.

Examples

  • Triangle = 3 sides
  • Square = 4 sides
  • Pentagon = 5 sides
  • Hexagon = 6 sides
Polygon examples

📍 Location

Explanation: Use simple grid references or coordinates to show position (column, row).

Example

Point at (3, 2) → x = 3 (across), y = 2 (up). Read across first, then up.

Coordinate grid

📊 Data (Pie Chart)

Explanation: A pie chart shows parts of a whole. Each slice is a fraction or percentage of the whole circle (360°).

Examples

If pie chart shows: Apples 50%, Bananas 25%, Grapes 25% — out of 100 students → Apples = 50 students.

Pie chart example

🌟 Final Exam Tips

  • Practice daily with the activity book.
  • Show working steps clearly — examiners mark method.
  • Focus on understanding place value and operations.
  • Use visuals (charts, number lines, grids) while practising.

📚 References & Official Links

© Ready for Blogger — English only. If you want the HTML adjusted (different images, more exercises per topic, printable worksheets links), tell me which topics to expand and I will update the code.

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