Whole Numbers: Error Analysis & Misconceptions

Mathematics
Grade 6
15 questions
~30 mins
1 views0 downloads

About This Worksheet

This worksheet explores common errors and misconceptions related to whole numbers, focusing on upper and lower bounds, with a mix of practice, reasoning, and real-world problems tailored for Grade 6 students.

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Whole Numbers: Error Analysis & Misconceptions

Subject: MathematicsGrade: Grade 6
Name:
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Untitled Worksheet

Grade Grade 6
A

Fluency & Practice

Answer the following questions to develop your procedural skills with whole numbers.
1.
Estimate the upper bound for 157 when rounding to the nearest ten.
[2 marks]
2.
Calculate the lower bound for 98 when rounding to the nearest ten.
[2 marks]
3.
Round 124 to the nearest hundred and state the bound (upper or lower).
[2 marks]
4.
If a number is rounded to 50 when rounded to the nearest ten, what is its possible range?
[3 marks]
B

Problem Solving & Reasoning

Work through these multi-step problems, explaining your reasoning.
1.
A number is rounded to 200 when rounded to the nearest hundred. If the actual number is 215, is the rounding correct? Explain your reasoning.
[4 marks]
2.
A student estimates the upper bound of 367 as 400 when rounding to the nearest hundred. Is this correct? Justify your answer.
[4 marks]
3.
You have the number 49. Rounding to the nearest ten gives 50. State the lower and upper bounds, then explain any common mistake students might make.
[4 marks]
C

Real-world Applications

Solve these practical problems involving whole numbers and bounds.
1.
A store estimates that their daily sales are about 1,200 units, rounding to the nearest hundred. What is the range of actual daily sales?
[3 marks]
2.
A recipe calls for 250 grams of sugar, rounded to the nearest ten. What is the exact weight range of the sugar?
[3 marks]
D

Challenge & Extension

Attempt these more difficult questions to extend your understanding.
1.
A number has an upper bound of 999 when rounded to the nearest hundred, and a lower bound of 950 when rounded to the nearest ten. Find the possible range for the number.
[4 marks]
2.
Explain why the number 399, when rounded to the nearest hundred, is incorrectly estimated as 400 by some students. Clarify the bounds involved.
[4 marks]
E

Mixed Review

Answer these questions to review your understanding of whole numbers and bounds.
1.
Round 86 to the nearest ten and state the bounds, explaining any misconceptions.
[2 marks]
2.
Identify and correct the mistake: A student says 150 is the lower bound when rounding 147 to the nearest hundred.
[3 marks]
F

Error Analysis & Misconceptions

Review the following statements. Identify the common mistake and suggest the correction.
1.
Statement: 'Any number between 95 and 105 rounds to 100.' Is this correct? Explain the mistake if any.
[3 marks]
2.
A student states that 249 rounds to 200 when rounding to the nearest hundred. Correct or not? Fix the misconception.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet