Mixed DP: Error Analysis & Misconceptions
Mathematics
GCSE Higher
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions when adding decimals with mixed decimal places. Designed to develop procedural accuracy and conceptual understanding.
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Mixed DP: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
1.
When adding decimals with different numbers of decimal places, it is important to align the decimal points correctly and add zeros where necessary to avoid miscalculations. Remember, adding zeros does not change the value of the number.
[2 marks]B
Fluency & Practice
Calculate the following. Show your working in the grid spaces provided.
1.
Add 12.45 and 3.6.
[2 marks]2.
Calculate 7.235 + 3.2.
[2 marks]3.
Add 5.007 and 2.15.
[2 marks]4.
Calculate 9.8 + 4.56.
[2 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems. Explain your reasoning clearly.
1.
A shop sells a pen for £1.49 and a notebook for £2.75. Calculate the total cost if a customer buys 3 pens and 2 notebooks. Explain each step.
[4 marks]2.
A recipe requires 0.75 kg of sugar and 1.2 kg of flour. If a baker uses 1.5 times these amounts to make a larger batch, what are the total amounts of sugar and flour needed? Show your working.
[4 marks]3.
A train travels 123.45 km in the morning and 98.75 km in the afternoon. Find the total distance traveled. Why is it important to align decimal points correctly?
[4 marks]D
Error Analysis & Misconceptions
Identify the mistake in each incorrect answer and correct it.
1.
Student answer: 15.55 + 2.5 = 17.05 (Incorrect). What mistake might they have made? Correct the calculation.
[3 marks]2.
Student answer: 4.56 + 3.789 = 8.349 (Incorrect). Identify the error and provide the correct answer.
[3 marks]3.
Incorrect addition: 7.1 + 2.05 = 9.15. What's wrong? Correct it.
[3 marks]E
Mixed Review & Challenge
Attempt these higher-level questions to extend your understanding.
1.
Calculate 0.456 + 12.3 + 7.89. Show your full working.
[4 marks]2.
A customer buys items costing £4.25, £3.7, and £2.55. Find the total cost. What common mistake might students make here?
[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