Scaling: Challenge & Extension

Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet exploring the concept of scaling through ratio and proportion problems, designed to challenge students with a variety of questions including real-world applications and extension tasks.

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Full preview • 11 questions

Scaling: 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.
If a model car is scaled down from the actual car with a ratio of 1:50, and the real car is 4.5 meters long, what is the length of the model car in centimeters?
[2 marks]
2.
A photograph is scaled so that 1 cm on the photo represents 5 meters in real life. If the photo is 8 cm long, what is the actual length of the object in meters?
[2 marks]
3.
Construct a triangle on the grid with sides scaled from a 6 cm side to a 12 cm side, maintaining the same shape.
[3 marks]
4.
A map uses a scale of 1:25,000. If the distance between two towns on the map is 4 cm, what is the actual distance in kilometers?
[2 marks]
5.
A recipe for a cake serves 8 people. To serve 20 people, the ingredients must be scaled up. If the original recipe uses 2 cups of flour, how many cups are needed for 20 servings?
[2 marks]
6.
A scaling factor is 3. If a drawing is scaled from 2 cm to a length of 6 cm, what is the scale ratio?
[2 marks]
7.
A real bicycle is 1.8 meters long. A scaled model bicycle is 36 cm long. What is the scale ratio of the model to the real bicycle?
[2 marks]
8.
A mural is painted at a scale of 1:10. If the mural's height is 2.4 meters, what is the height of the actual building?
[2 marks]
9.
A poster design is scaled such that the width of the original design is 15 cm, and the scaled version on the wall is 45 cm. What is the scale ratio?
[2 marks]
10.
A model of a ship is built to a scale of 1:100. If the model is 75 cm long, what is the length of the actual ship in meters?
[2 marks]
11.
Identify the common mistake: A student calculates 4.5 meters scaled down to a model as 0.09 meters, claiming the scale is 1:50. Is this correct? If not, what is the correct scale?
[3 marks]

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Details

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