Dividing: Error Analysis & Misconceptions
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on dividing negative numbers, addressing common misconceptions and error analysis for Year 9 students.
Worksheet Preview
Full preview • 12 questions
Dividing: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Year 9
A
Introduction
Read the key concept below before attempting the questions.
1.
When dividing two numbers, the rule for signs is: a positive divided by a positive is positive, a negative divided by a positive is negative, a positive divided by a negative is negative, and a negative divided by a negative is positive. Remember this rule to avoid common errors.
[1 mark]B
Fluency & Practice
Answer the following questions to practice dividing negative numbers.
1.
Calculate: (-48) ÷ 6
[2 marks]2.
Calculate: 72 ÷ (-9)
[2 marks]3.
Calculate: (-36) ÷ (-6)
[2 marks]C
Problem Solving & Reasoning
Solve multi-step problems involving dividing negative numbers and explain your reasoning.
1.
A submarine descends to a depth of 300 meters below sea level. If it rises by 75 meters each time, how many rises are needed to reach sea level? Show your working.
[4 marks]2.
A hiker descends a mountain trail 1200 meters below the start point. If she hikes up 150 meters each day, how many days does it take to reach her starting elevation? Show your working.
[4 marks]D
Real-world Applications
Solve these word problems based on real-life contexts involving division with negatives.
1.
A bank account is overdrawn by $450. If the account is credited with $50 each day, how many days will it take to clear the overdraft? Show your working.
[3 marks]2.
A factory loses 25 meters of wire each day due to damage. If they start with 200 meters, after how many days will the wire be completely used up? Show your working.
[3 marks]E
Challenge & Extension
Attempt these challenging problems that extend your understanding of dividing negative numbers.
1.
Solve: (-144) ÷ 12 + 3 × (-4).
[3 marks]2.
A temperature drops 5°C every hour. If the temperature was initially 10°C, what is the temperature after 4 hours? Show your working, considering the initial temperature as positive and the drop as negative.
[3 marks]F
Mixed Review & Error Analysis
Answer these questions and identify common mistakes in division of negatives.
1.
A student calculates: (-56) ÷ (-8) = 7. Identify the mistake, explain why it's wrong, and correct the answer.
[3 marks]2.
Complete the statement: (-81) ÷ ? = 9. What is the missing divisor? Show your calculation.
[2 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