Year 3. Mathematics. Part A.

🧮 Year 3 Mathematics UASA Revision — Numbers & Operations (1–9)

1️⃣ Write the Number

Introduction: Knowing how to write numbers in numerals and words helps students read questions and write answers correctly. Target up to 10,000.

Explanation

Convert between words and numerals, and recognise number forms (e.g., 3,205 = "three thousand two hundred five"). Practice reading aloud to strengthen understanding.

Examples

• Example 1: 5,308 → "five thousand three hundred eight".
• Example 2: "seven thousand, four hundred and twenty-one" → 7,421.
• Example 3: 10,000 → "ten thousand".

Real-life word problem

A library has 4,275 books and receives 125 new books. How many books after delivery? Write the result in words.

Answer: 4,275 + 125 = 4,400 → "four thousand four hundred".

Tip: Break a long number into groups (thousands, hundreds) and read each group.

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2️⃣ Digit Value / Place Value

Introduction: Place value tells the value of each digit in a number (ones, tens, hundreds, thousands).

Explanation

Identify the place of each digit and state its value. For example, in 3,472 the 4 is in the hundreds place = 400.

Examples

• Example 1: In 6,305 — 6 = 6,000; 3 = 300; 0 = 0; 5 = 5.
• Example 2: What is the value of digit 7 in 7,128? → 7,000.
• Example 3: Which digit is in the tens place in 9,481? → 8 (value = 80).

Real-life word problem

A packet contains 2,406 beads. What is the value of the digit 4 in that number?

Answer: 4 is in the hundreds place → value = 400.

Tip: Use a place-value chart (thousands / hundreds / tens / ones) for clarity.

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3️⃣ Partition (Number Expansion)

Introduction: Partitioning shows how a number is made from its place values; it helps when adding or subtracting mentally.

Explanation

Write a number as a sum of its place values. Example: 4,253 = 4,000 + 200 + 50 + 3.

Examples

• Example 1: 3,607 = 3,000 + 600 + 0 + 7.
• Example 2: 8,120 = 8,000 + 100 + 20 + 0.
• Example 3: 2,045 = 2,000 + 0 + 40 + 5.

Real-life word problem

Sarah has 1,234 marbles. Partition the number to show the thousands, hundreds, tens and ones.

Answer: 1,234 = 1,000 + 200 + 30 + 4.

Tip: Partitioning is useful before performing column addition or subtraction.

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4️⃣ Arrange the Numbers

Introduction: Ordering numbers helps with comparing sizes, sorting lists, and finding max/min values.

Explanation

To arrange, compare digits from the highest place (thousands) to the lowest (ones). For ties, move right through places until a difference is found.

Examples

• Example 1: Arrange ascending: 4,372; 4,327; 4,397 → 4,327; 4,372; 4,397.
• Example 2: Arrange descending: 3,005; 3,500; 2,999 → 3,500; 3,005; 2,999.

Real-life word problem

Order these test scores from lowest to highest: 78, 85, 72, 90.

Answer: 72, 78, 85, 90.

Tip: Line numbers vertically under each other by place value to compare easily.

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5️⃣ Round Off

Introduction: Rounding makes numbers easier to work with—good for estimation in real life.

Explanation

To round to nearest ten: look at ones digit. If 5 or more → round up. To round to nearest hundred: look at tens digit, etc.

Examples

• Example 1: Round 67 → nearest ten = 70.
• Example 2: Round 3,478 → nearest hundred = 3,500.
• Example 3: Round 5,642 → nearest thousand = 6,000.

Real-life word problem

Ali estimates his classroom has about 48 chairs. To the nearest ten, how many chairs does he estimate?

Answer: 48 → 50 (nearest ten).

Tip: Use number lines for visual rounding practice.

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6️⃣ Addition

Introduction: Addition combines quantities. Start with small numbers, progress to column addition with carrying.

Explanation

Line up digits by place value and add from ones to thousands, carry as needed.

Examples

• Example 1 (No carry): 124 + 233 = 357.
• Example 2 (With carry):

    478
  + 265
  -----
    743
      

• Example 3: 3,205 + 1,497 = 4,702.

Real-life word problem

Rina buys 128 pencils and her friend gives her 47 more. How many pencils in total?

Answer: 128 + 47 = 175 pencils.

Tip: Check your answer by subtracting one addend from the total to get the other addend.

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7️⃣ Subtraction

Introduction: Subtraction finds the difference. Practice using borrowing when the top digit is smaller.

Explanation

Subtract digits from right to left. If the top digit is smaller, borrow 1 from the next column (value 10 in that place).

Examples

• Example 1 (No borrow): 562 − 213 = 349.
• Example 2 (With borrow):

    725
  - 438
  -----
    287
      

• Example 3: 2,000 − 1,456 = 544.

Real-life word problem

There are 500 apples. 187 are sold. How many apples remain?

Answer: 500 − 187 = 313 apples.

Tip: Estimate first (round numbers) to check if your answer seems reasonable.

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8️⃣ Multiplication

Introduction: Multiplication is repeated addition. Learn times tables and use them for quick calculations.

Explanation

Understand multiplication as groups: a × b means a groups of b objects. Use tables and column method for larger problems.

Examples

• Example 1: 4 × 3 = 12 (four groups of three).
• Example 2: 6 × 7 = 42.
• Example 3 (two-digit × one-digit): 23 × 4 = (20 × 4) + (3 × 4) = 80 + 12 = 92.

Real-life word problem

Each box holds 6 oranges. There are 7 boxes. How many oranges in total?

Answer: 6 × 7 = 42 oranges.

Tip: Practice tables on the clock or while walking — quick repetition helps memory.

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9️⃣ Division

Introduction: Division shares or groups numbers. Learn sharing basic division facts and simple short division (one-digit divisor).

Explanation

Division is inverse of multiplication. If 12 ÷ 3 = 4, then 4 × 3 = 12. For remainders, understand leftover items.

Examples

• Example 1: 12 ÷ 3 = 4.
• Example 2: 20 ÷ 4 = 5.
• Example 3 (with remainder): 17 ÷ 5 = 3 remainder 2 (because 3×5=15, leftover 2).

Real-life word problem

24 cookies are shared equally among 6 children. How many cookies does each child get?

Answer: 24 ÷ 6 = 4 cookies each.

Tip: Check division with multiplication: divisor × quotient + remainder = dividend.

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📚 References & Official Links

• Curriculum Specifications — Mathematics Year 3 (KSSR Semakan) — BPK / MOE
• Mathematics DLP Year 3 — Part 1 (Digital Textbook example)
• AnyFlip — sample syllabus materials (search for KSSR Year 3 Mathematics)

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