Formal Method: Challenge & Extension
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
An advanced worksheet exploring the Formal Method for Long Division, designed to challenge and extend Year 9 students' understanding and skills.
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Full preview • 11 questions
Formal Method: Challenge & Extension
Subject: MathematicsGrade: Year 9
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Date:
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Untitled Worksheet
Grade Year 9
A
Introduction
Review the formal long division process: divide, multiply, subtract, bring down, and repeat until complete. Ensure each step is clearly shown in the grid spaces provided.
1.
Perform the long division of 9876 divided by 24 using the formal method. Show all steps clearly.
[4 marks]2.
Divide 1548 by 36 using the formal long division process. Record each step.
[3 marks]3.
A factory produces 7860 units weekly. If each shipment contains 48 units, how many complete shipments are sent weekly? Use formal division to find out.
[4 marks]B
Progression and Practice
Apply your formal division skills to these intermediate problems, ensuring each step is shown correctly.
1.
Divide 6723 by 39 using the formal method. Show all steps in the grid.
[4 marks]2.
A librarian stacks 2840 books equally into boxes of 65 books each. How many boxes are needed? Use formal long division.
[3 marks]3.
Calculate 8652 ÷ 37 step-by-step using the formal method.
[4 marks]4.
A gardener has 7250 seeds. If they plant seeds in rows of 85, how many full rows can they plant? Show your working.
[3 marks]C
Challenge & Extension
Tackle these advanced problems that require extended application and critical thinking in the formal division method.
1.
Divide 12489 by 33 using the formal method. Identify and explain any errors made if a common mistake results in an incorrect answer.
[4 marks]2.
A company distributes 19,752 units of a product equally across 48 stores. Use the formal method to find the number of units per store, and verify the process for accuracy.
[4 marks]D
Mixed Review & Error Analysis
Complete these questions to consolidate your understanding of formal long division, including identifying common mistakes and corrections.
1.
An incorrect division process shows 864 ÷ 24 as 34 with a remainder 8. Identify the mistake and correct the calculation.
[2 marks]2.
Using the formal method, divide 98765 by 123. Show all steps and verify the accuracy of your answer.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet