Precision Work: Error Analysis & Misconceptions
Mathematics
Year 9
19 questions
~38 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on Precision Work related to Rounding to 2 decimal places, emphasising error analysis and common misconceptions for Year 9 students.
Worksheet Preview
Full preview • 19 questions
Precision Work: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Year 9
A
Introduction
Read the key points on precision work below before attempting the questions.
1.
When rounding to 2 decimal places, which digit do you look at to decide whether to round up or down?
[2 marks]2.
What is the general rule for rounding to 2 decimal places if the third decimal digit is 5 or more?
[2 marks]3.
Explain why it is important to check the digit beyond the second decimal place when rounding.
[3 marks]4.
Identify the common mistake made when students forget to look at the digit beyond 2 decimal places.
[2 marks]B
Fluency & Practice
Calculate the rounded value to 2 decimal places for each number.
1.
Round 3.14159 to 2 decimal places.
[2 marks]2.
Round 2.71828 to 2 decimal places.
[2 marks]3.
Round 0.55555 to 2 decimal places.
[2 marks]4.
Round 9.9999 to 2 decimal places.
[2 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems involving rounding. Show your working.
1.
A product costs £12.786. Round this to 2 decimal places for the receipt. If a customer paid with £20, how much change should they receive?
[4 marks]2.
A measurement is recorded as 15.6789 cm. Round to 2 decimal places. Then, multiply that value by 3. Find the product, rounded to 2 decimal places.
[5 marks]3.
An average speed is recorded as 55.555 km/h. Round to 2 decimal places, then calculate the time taken to travel 200 km. Round your answer to 2 decimal places.
[5 marks]D
Real-world Applications
Apply rounding principles to real-world scenarios.
1.
A recipe requires 2.34567 kg of flour. Round to 2 decimal places. If the baker only has a scale that measures to 2 decimal places, how much flour should they use?
[3 marks]2.
A car's fuel consumption is 7.891 liters per 100 km. Round to 2 decimal places. How much fuel will be needed for a 350 km trip?
[4 marks]E
Challenge & Extension
Tackle these more difficult problems involving rounding and error analysis.
1.
A measurement of 0.55555 cm is rounded to 2 decimal places. A student reports the rounding as 0.55 cm. Identify and explain the mistake.
[4 marks]2.
Construct a number between 1.2345 and 1.2355 that, when rounded to 2 decimal places, gives 1.24. Show your construction process.
[4 marks]F
Mixed Review
Answer a variety of questions to reinforce your understanding of precision work.
1.
True or False: When rounding to 2 decimal places, always look at the second digit.
[1 mark]2.
Round 0.004567 to 2 decimal places.
[2 marks]G
Error Analysis
Examine the following common mistakes and identify the errors. Correct the mistakes and explain why.
1.
A student rounded 9.9999 to 2 decimal places as 9.99. What mistake did they make? Correct their answer.
[3 marks]2.
A student always rounds down regardless of the third digit. Describe this misconception and how to avoid it.
[3 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