Lengths: Problem Solving & Reasoning
Mathematics
Grade 6
15 questions
~30 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on adding lengths expressed in decimals to the nearest tenth. It includes procedural questions, real-world problems, and challenges to deepen understanding.
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Full preview • 15 questions
Lengths: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Introduction
Read the key concept below: The length of objects can be added by aligning decimal points and adding each column carefully, ensuring one decimal place accuracy. Remember to line up the tenths correctly.
1.
Add the following lengths: 4.3 m and 2.7 m.
[2 marks]2.
Calculate the total length when 3.8 m is combined with 1.2 m.
[2 marks]3.
A rope is 5.6 meters long. A second rope is 2.4 meters long. What is the total length?
[3 marks]4.
Add 6.9 m and 3.4 m.
[2 marks]B
Fluency & Practice
Solve these straightforward addition problems involving lengths expressed in decimals.
1.
Add 7.2 m and 1.5 m.
[2 marks]2.
Calculate the sum of 2.8 m and 3.3 m.
[2 marks]3.
Combine 4.1 m and 5.2 m.
[2 marks]C
Target Level Questions
Solve these multi-step and contextual problems involving adding lengths.
1.
A garden is 12.4 meters long. The fence around it is 15.8 meters long. If you add the length of the garden and the fence, what is the total length?
[3 marks]2.
A swimming pool is 8.5 meters long. A cover extends 1.4 meters beyond one end. What is the total length covered by the cover?
[2 marks]3.
Add 9.7 m, 3.8 m, and 2.4 m to find the combined length.
[3 marks]4.
A piece of cloth is 4.55 meters long. Another piece is 2.35 meters long. What is the total length?
[2 marks]D
Challenge & Extension
Tackle these advanced problems involving adding multiple lengths and real-world context.
1.
A running track is 400.3 meters long. During a race, a runner completes 2 laps and an additional 150.7 meters. What is the total distance covered?
[4 marks]2.
Calculate the combined length of two wires, 3.25 meters and 4.75 meters, plus an additional 1.5 meters.
[3 marks]E
Mixed Review & Error Analysis
Answer these questions and identify any common mistakes in decimal addition.
1.
A length of 5.7 meters is added to 2.4 meters. Write the correct answer and explain a common error that could occur.
[3 marks]2.
Add 3.6 meters and 4.55 meters. Some students add tenths separately, resulting in an incorrect answer. What is the correct sum?
[2 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