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Division Challenges for Year 6

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Division Challenges for Year 6 worksheet preview

Division Challenges for Year 6

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✏️ Part 1: Short Division - Show your working

Solve these using short division. Write your working in the box provided and give any remainder as R____.

1. 945 ÷ 7 = __________
2. 1,234 ÷ 6 = __________
3. 5,769 ÷ 3 = __________
4. 4,002 ÷ 8 = __________
5. 2,015 ÷ 9 = __________

🧮 Part 2: Long Division & Real-life Problems (show all steps)

Use long division for these problems. Write calculations and answers in the spaces provided. Include any remainders and explain what they mean where asked.

6. A school orders 3,456 pencils to be packed equally into 24 boxes. How many pencils go into each box?
7. A fundraiser collected $7,245. They want to give equal prizes worth $45 each. How many full prizes can they give and how much money will be left over?
8. A ribbon measuring 4,500 cm is cut into pieces 125 cm long for craft packs. How many full pieces can be cut?
9. A recipe uses 375 g of flour to make one batch of muffins. If you have 1,800 g of flour, how many full batches can you make? How much flour will remain (in g)?
10. A freight truck must divide 9,840 kg of produce equally into 12 crates. How many kilograms go into each crate? If there is any remainder, explain what to do with it.

📋 Answer Key

Part 1: Short Division Answers

1. 945 ÷ 7 = 135

Working: 9 ÷ 7 = 1 R2, bring down 4 to make 24. 24 ÷ 7 = 3 R3, bring down 5 to make 35. 35 ÷ 7 = 5

2. 1,234 ÷ 6 = 205 R4

Working: 12 ÷ 6 = 2, 3 ÷ 6 = 0 R3, bring down 4 to make 34. 34 ÷ 6 = 5 R4

3. 5,769 ÷ 3 = 1,923

Working: 5 ÷ 3 = 1 R2, bring down 7 to make 27. 27 ÷ 3 = 9, 6 ÷ 3 = 2, 9 ÷ 3 = 3

4. 4,002 ÷ 8 = 500 R2

Working: 40 ÷ 8 = 5, 0 ÷ 8 = 0, 0 ÷ 8 = 0, 2 ÷ 8 = 0 R2

5. 2,015 ÷ 9 = 223 R8

Working: 20 ÷ 9 = 2 R2, bring down 1 to make 21. 21 ÷ 9 = 2 R3, bring down 5 to make 35. 35 ÷ 9 = 3 R8

Part 2: Long Division & Real-life Problems Answers

6. 3,456 ÷ 24 = 144 pencils per box

Working: Use long division. 3456 ÷ 24 = 144 exactly. Each box contains 144 pencils.

7. 7,245 ÷ 45 = 161 full prizes with $0 left over

Working: 7245 ÷ 45 = 161 exactly. They can give 161 full prizes with no money remaining.

8. 4,500 ÷ 125 = 36 full pieces

Working: 4500 ÷ 125 = 36 exactly. 36 full pieces of 125 cm can be cut from the ribbon.

9. 1,800 ÷ 375 = 4 full batches with 300 g remaining

Working: 1800 ÷ 375 = 4 R300. You can make 4 complete batches and will have 300 g of flour left over.

10. 9,840 ÷ 12 = 820 kg per crate

Working: 9840 ÷ 12 = 820 exactly. Each crate will contain exactly 820 kg of produce with no remainder.

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