Representing Numbers to 1000 - Worksheet | Maths Year 3 - Free Printable

Let's solve each section of the worksheet step by step.

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1. What number is represented by the base 10 below?

In base 10 blocks:
- A green square (10x10 grid) = 100
- A purple rod (10 units) = 10
- A yellow dot (single unit) = 1

We’ll count each:

#### First box:
- 2 green squares → 2 × 100 = 200
- 3 purple rods → 3 × 10 = 30
- 5 yellow dots → 5 × 1 = 5
→ Total = 200 + 30 + 5 = 235

#### Second box:
- 1 green square → 1 × 100 = 100
- 6 purple rods → 6 × 10 = 60
- 4 yellow dots → 4 × 1 = 4
→ Total = 100 + 60 + 4 = 164

#### Third box:
- 4 green squares → 4 × 100 = 400
- 2 purple rods → 2 × 10 = 20
- 5 yellow dots → 5 × 1 = 5
→ Total = 400 + 20 + 5 = 425

#### Fourth box:
- 6 green squares → 6 × 100 = 600
- 7 yellow dots → 7 × 1 = 7
→ Total = 600 + 7 = 607

✔ Answers for Question 1: 235, 164, 425, 607

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2. What number is represented by the counters below?

Counters are labeled with values:
- Green circle = 100
- Purple circle = 10
- Yellow circle = 1

#### First box:
- 3 × 100 = 300
- 5 × 10 = 50
- 1 × 1 = 1
→ Total = 300 + 50 + 1 = 351

#### Second box:
- 5 × 100 = 500
- 4 × 10 = 40
- 6 × 1 = 6
→ Total = 500 + 40 + 6 = 546

#### Third box:
- 4 × 100 = 400
- 8 × 10 = 80
→ Total = 400 + 80 = 480

#### Fourth box:
- 1 × 100 = 100
- 9 × 10 = 90
- 3 × 1 = 3
→ Total = 100 + 90 + 3 = 193

✔ Answers for Question 2: 351, 546, 480, 193

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3. What number is represented by the number lines below?

We need to determine the value at the arrow on each number line.

#### First number line:
- Range: 0 to 1000
- Marked every 100 units
- Arrow points between 900 and 1000
- The line is divided into 10 parts between 900 and 1000 → each small tick = 10
- Arrow is at the 9th tick after 900 → 900 + 90 = 990

✔ Answer: 990

#### Second number line:
- Range: 100 to 600
- Marked every 50 units (100, 150, ..., 600)
- Arrow points between 200 and 250
- Each segment between 200 and 250 has 10 small ticks → so each tick = 5
- Arrow is at the 4th tick after 200 → 200 + (4 × 5) = 200 + 20 = 220

✔ Answer: 220

#### Third number line:
- Range: 500 to 520
- Arrow points just after 510
- Ticks are every 1 unit (since it’s a close-up)
- Arrow is at 515 (halfway between 510 and 520)

✔ Answer: 515

#### Fourth number line:
- Range: 125 to 145
- Arrow points between 135 and 145
- There are 10 ticks from 135 to 145 → each tick = 1
- Arrow is at the 3rd tick after 135 → 135 + 3 = 138

✔ Answer: 138

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✔ Final Answers:

#### Question 1 (Base 10):
- 235
- 164
- 425
- 607

#### Question 2 (Counters):
- 351
- 546
- 480
- 193

#### Question 3 (Number Lines):
- 990
- 220
- 515
- 138

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