Multiples of 10, 100 and 1000 - Worksheet | Maths Year 5 - Free Printable

Absolutely! Let’s solve each part of this Multiples of 10, 100 and 1000 Worksheet step by step, explaining the reasoning behind each answer.

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## ✔ 1) Use patterns to help solve the calculations below.

The key idea here is:
> When you multiply a number by 10, 100, or 1000, you’re essentially adding zeros — but more importantly, you can use known facts and scale them up.

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a)

- `3 x 6 = 18` → Basic fact
- `3 x 60 = ?` → 60 is 6 × 10 → So, 3 × 60 = (3 × 6) × 10 = 18 × 10 = 180
- `3 x 600 = ?` → 600 is 6 × 100 → So, 3 × 600 = (3 × 6) × 100 = 18 × 100 = 1,800

✔ Answers:
18, 180, 1,800

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b)

- `12 x 2 = 24`
- `12 x 20 = ?` → 20 is 2 × 10 → 12 × 20 = (12 × 2) × 10 = 24 × 10 = 240
- `12 x 200 = ?` → 200 is 2 × 100 → 12 × 200 = (12 × 2) × 100 = 24 × 100 = 2,400

✔ Answers:
24, 240, 2,400

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c)

- `7 x 5 = 35`
- `70 x 5 = ?` → 70 is 7 × 10 → 70 × 5 = (7 × 5) × 10 = 35 × 10 = 350
- `700 x 5 = ?` → 700 is 7 × 100 → 700 × 5 = (7 × 5) × 100 = 35 × 100 = 3,500

✔ Answers:
35, 350, 3,500

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## ✔ 2) Use the division fact 63 ÷ 3 = 21 to help answer the questions below.

This tests understanding of scaling in division.

- `630 ÷ 3 = ?` → 630 is 63 × 10 → So, (63 × 10) ÷ 3 = (63 ÷ 3) × 10 = 21 × 10 = 210
- `630 ÷ 30 = ?` → 30 is 3 × 10 → So, 630 ÷ (3 × 10) = (630 ÷ 3) ÷ 10 = 210 ÷ 10 = 21
- `21 x 3 = ?` → This checks the inverse: 21 × 3 = 63

✔ Answers:
210, 21, 63

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## ✔ 3) Use the multiplication fact 28 × 7 = 196 to help answer the questions below.

Again, we scale using the basic fact.

- `28 x 70 = ?` → 70 is 7 × 10 → So, 28 × 70 = (28 × 7) × 10 = 196 × 10 = 1,960
- `280 x 7 = ?` → 280 is 28 × 10 → So, 280 × 7 = (28 × 10) × 7 = 196 × 10 = 1,960
- `280 x 70 = ?` → Both numbers scaled: 280 = 28×10, 70=7×10 → So, (28×7) × (10×10) = 196 × 100 = 19,600

✔ Answers:
1,960, 1,960, 19,600

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## ✔ 4) Circle the incorrect answer.

We need to find which calculation is wrong.

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a)

- `15 x 30 = 450` → Correct (15×30 = 450)
- `450 ÷ 15 = 300` → ✘ Incorrect!
450 ÷ 15 = 30, not 300.
- `300 x 15 = 4,500` → Correct (300×15 = 4,500)

👉 So, 450 ÷ 15 = 300 is the incorrect answer.

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b)

- `180 ÷ 6 = 30` → Correct
- `30 x 6 = 180` → Correct
- `60 x 300 = 1,800` → ✘ Incorrect!
60 × 300 = 18,000, not 1,800.

👉 So, 60 x 300 = 1,800 is the incorrect answer.

✔ Final answers for Q4:
- a) Circle: 450 ÷ 15 = 300
- b) Circle: 60 x 300 = 1,800

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## ✔ 5) Answer the questions below.

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a) Amrit says: “480 × 2 is greater than 48 × 20”

Let’s calculate both:

- `480 × 2 = 960`
- `48 × 20 = 48 × 2 × 10 = 96 × 10 = 960`

They are equal!

So, Amrit is incorrect.

✔ Answer: No, Amrit is not correct. Both expressions equal 960. Multiplying one factor by 10 and dividing the other by 10 keeps the product the same.

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b) Ria says: “If 12 × 6 = 72, then 720 ÷ 60 = 120 because all the numbers are ten times bigger.”

Let’s check:

- Original: `12 × 6 = 72`
- New: `720 ÷ 60 = ?`

Ria thinks since 720 is 10×72 and 60 is 10×6, the answer should be 10×12 = 120.

But let’s compute:
`720 ÷ 60 = 12` (because 60 × 12 = 720)

So, the quotient stays the same, not increases by 10.

Why? Because when you multiply *both* dividend and divisor by the same number (here, 10), the quotient remains unchanged.

✔ Answer: No, Ria is not correct. When both the dividend and divisor are multiplied by 10, the quotient does not change. So 720 ÷ 60 = 12, not 120.

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## 🎯 FINAL SUMMARY OF ALL ANSWERS:

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1)

a) 18, 180, 1,800
b) 24, 240, 2,400
c) 35, 350, 3,500

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2)

630 ÷ 3 = 210
630 ÷ 30 = 21
21 × 3 = 63

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3)

28 × 70 = 1,960
280 × 7 = 1,960
280 × 70 = 19,600

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4)

a) Circle: 450 ÷ 15 = 300
b) Circle: 60 × 300 = 1,800

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5)

a) Amrit is incorrect. 480 × 2 = 960 and 48 × 20 = 960 — they are equal.
b) Ria is incorrect. 720 ÷ 60 = 12, not 120. Scaling both dividend and divisor by 10 doesn’t change the quotient.

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Let me know if you’d like a printable version or further explanation on any part! 😊