📚 Part 1: Place Value, Comparing and Factors

Worked example: 3,405 is three thousand four hundred and five. Its expanded form is 3,000 + 400 + 5. The value of the digit 4 is 400.

Worked example: 2,105, 2,501, 2,510 in ascending order is 2,105, 2,501, 2,510.

Worked example: 3,200 < 3,250 because 3,200 is smaller.

a) 8,406 ____ 8,460     b) 7,999 ____ 8,000     c) 5,600 ____ 5,600

Worked example: The factor pairs for 12 are 1 × 12, 2 × 6 and 3 × 4.

✏️ Part 2: Rounding and Powers

Worked example: 2,746 rounded to the nearest hundred is 2,700. Look at the tens digit. It is less than 5, so the hundreds digit stays the same.

Nearest thousand: __________    Nearest hundred: __________    Nearest ten: __________

Worked example: 4 squared is written as 4² and equals 4 × 4 = 16.

a) 5 squared is written as ______ and equals ______.

b) 2 cubed is written as ______ and equals ______.

c) 3² = ______     d) 2³ = ______

Worked example: 36 is a square number because 6 × 6 = 36.

🔢 Part 3: Number Patterns and Order of Operations

Worked example: 5, 10, 15, 20, 25. The rule is add 5 each time.

a) 12, 16, 20, ______, ______, ______

b) 50, 45, 40, ______, ______, ______

Worked example: 6 + 2 × 3 = 6 + 6 = 12.

a) 7 + 4 × 2 = __________

b) (18 - 6) ÷ 3 = __________

c) 5² + 4 = __________

🌟 Short Challenge

✅ Answer Key

1. Forty-six thousand two hundred and eight; 40,000 + 6,000 + 200 + 8; the value of 6 is 6,000.

2. 4,057, 4,507, 4,570, 4,750.

3. a) <    b) <    c) =

4. 1 × 24, 2 × 12, 3 × 8, 4 × 6.

5. Nearest thousand: 6,000; nearest hundred: 6,500; nearest ten: 6,480.

6. a) 5², 25    b) 2³, 8    c) 9    d) 8

7. 9, 16 and 25.

8. a) 24, 28, 32    b) 35, 30, 25

9. a) 15    b) 4    c) 29

10. 3,528.

11. Smallest number: 247; largest number: 742; difference: 495.

12. 6.