Dividing: Challenge & Extension

Mathematics
Grade 6
18 questions
~36 mins
1 views0 downloads

About This Worksheet

A challenging worksheet focused on dividing negative and positive numbers, including real-world and extension questions.

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Full preview • 18 questions

Dividing: Challenge & Extension

Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet

Grade Grade 6
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate: 36 ÷ (-6).
[2 marks]
2.
Calculate: -48 ÷ 8.
[2 marks]
3.
Calculate: -81 ÷ (-9).
[2 marks]
4.
Divide: 56 ÷ (-7).
[2 marks]
B

Fluency & Practice

Solve these questions to strengthen your understanding of dividing negative numbers.
1.
Calculate: -144 ÷ 12.
[2 marks]
2.
Calculate: 84 ÷ (-12).
[2 marks]
3.
Calculate: -225 ÷ 15.
[2 marks]
C

Problem Solving & Reasoning

Solve these multi-step problems and explain your reasoning.
1.
A submarine is at a depth of 150 meters below sea level. If it ascends 30 meters, then dives 50 meters, what is its final depth relative to sea level? Show your working.
[3 marks]
2.
A hiker starts at an elevation of 500 meters above sea level. She descends 120 meters, then ascends 80 meters. What is her final elevation? Explain your steps.
[3 marks]
D

Real-world Applications

Apply your knowledge of dividing negative numbers in these real-world contexts.
1.
A bank account shows a debt of $120. If the debt increases by dividing the debt among 4 people equally, how much debt does each person have? (Express as a negative number.)
[3 marks]
2.
A temperature drops by dividing a 45°C decrease over 3 hours evenly. What is the temperature change each hour? Is it positive or negative?
[2 marks]
E

Challenge & Extension

Attempt these more difficult problems for further challenge.
1.
Calculate: (-144) ÷ (−12) + 20.
[3 marks]
2.
If dividing a negative number by a positive number results in a negative quotient, what is the result of (-63) ÷ 7? Verify your answer.
[3 marks]
F

Mixed Review

Review your understanding with these varied questions.
1.
Divide: 100 ÷ (-4).
[2 marks]
2.
Divide: -81 ÷ (-9).
[2 marks]
3.
What is 0 divided by -5? Explain your answer.
[2 marks]
G

Error Analysis

Identify and correct the common mistake in each example.
1.
A student calculated: 48 ÷ (-6) = -8. Is this correct? If not, correct the mistake and explain.
[3 marks]
2.
A student claimed: -100 ÷ 25 = -4. Is this correct? If not, what is the correct answer?
[2 marks]

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Details

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