Multiplying: Error Analysis & Misconceptions
Mathematics
GCSE Higher
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions when multiplying negative numbers, designed to enhance procedural understanding and reasoning skills for GCSE Higher students.
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Multiplying: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Read the key rules for multiplying negative numbers:
- A negative times a positive is negative.
- A negative times a negative is positive.
- Remember to check signs carefully during multiplication to avoid common mistakes.
B
Fluency & Practice
Answer the following questions to practice multiplying negative numbers accurately.
1.
Calculate: -3 × 4
[1 mark]2.
Calculate: -5 × -6
[1 mark]3.
Calculate: 7 × -8
[1 mark]4.
Calculate: -2 × -9
[1 mark]C
Error Analysis & Misconceptions
Identify and correct the errors in the following multiplying problems. Explain what went wrong.
1.
Student's answer: -4 × -5 = -20. What's wrong with this calculation?
[2 marks]2.
Student's answer: -6 × 3 = 18. Identify the mistake.
[2 marks]D
Problem Solving & Reasoning
Solve the following multi-step problems involving negative numbers. Explain your reasoning.
1.
A submarine descends 10 meters each day. After 3 days, what is its total change in depth? If the submarine then ascends 15 meters, what is its final position relative to the starting point?
[3 marks]2.
A debt of £50 is represented as -50. If you repay £20, what is the new balance? If you then borrow another £30, what is the total debt?
[3 marks]E
Real-world Applications
Apply your understanding of multiplying negatives to real-world scenarios.
1.
A car is traveling at -60 km/h (indicating direction south). If it maintains this speed for 4 hours, what is the total displacement?
[2 marks]2.
A temperature drops 5°C each hour. If the temperature starts at 10°C, what is the temperature after 6 hours?
[2 marks]F
Challenge & Extension
Tackle these advanced problems involving multiplication of negative numbers.
1.
Calculate: (-2)³
[2 marks]2.
Evaluate: (-3) × (-4) × (-2).
[2 marks]G
Mixed Review
Answer a variety of problems to review your multiplying skills.
1.
Multiply: -7 × 8
[1 mark]2.
Calculate: -9 × -3
[1 mark]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