GRADE 8 Mathematics โ Scale Drawing Quiz
1. What is a scale drawing?
A scale drawing is a representation of an object that is bigger or smaller than the actual object, but still proportional.
2. Which of the following is NOT true about scale drawings?
Scale drawings do not show the actual size of an object, but rather a proportional representation.
3. What is the purpose of a scale factor in a scale drawing?
The scale factor is used to determine how much smaller or larger the scale drawing is compared to the actual object.
4. Which of the following statements is true about a scale drawing with a scale factor greater than 1?
A scale factor greater than 1 indicates that the scale drawing is enlarged compared to the actual object.
5. In a scale drawing with a scale factor of 1:50, if a side of the drawing is 4 cm, what is the actual size of the object that it represents?
To find the actual size, you multiply the length of the side in the scale drawing by the scale factor (50 in this case). So, 4 cm x 50 = 200 cm.
6. What does a scale of 2 cm:1 m represent in a scale drawing?
In this scale, 2 cm represents 1 m. Since 1 m is larger than 2 cm, the scale drawing is half the actual size.
7. Which of the following statements is true about enlarging a scale drawing?
When enlarging a scale drawing, the scale factor is greater than 1, indicating that the drawing is larger than the original object.
8. What is the magnification factor for a scale drawing with a scale of 1:5?
The magnification factor is the reciprocal of the scale. In this case, 1/0.2 = 5.
9. If a scale drawing of a building has a scale factor of 1:100, and a window in the drawing is 2 cm wide, how wide is the actual window?
To find the actual width, multiply the width in the scale drawing by the scale factor (100 in this case). So, 2 cm x 100 = 200 cm = 2 m.
10. In a scale drawing, if the scale factor is 1:10 and the actual length of a line is 50 cm, what is the length of the corresponding line in the drawing?
To find the length in the drawing, divide the actual length by the scale factor. 50 cm รท 10 = 5 cm.
11. What happens to the dimensions of a scale drawing if the scale factor is less than 1?
A scale factor less than 1 indicates that the scale drawing is smaller than the actual object.
12. Which of the following is true about similar figures in scale drawings?
Similar figures in scale drawings are proportional to each other, meaning they have the same angles and their corresponding sides are in the same ratio.
13. If a scale drawing of a car has a scale factor of 1:50, and the width of the car in the drawing is 6 cm, what is the actual width of the car?
To find the actual width, multiply the width in the scale drawing by the scale factor (50 in this case). So, 6 cm x 50 = 300 cm.
14. What is the advantage of using a scale drawing in architecture?
Scale drawings help architects accurately represent the dimensions and features of a building before construction begins.
15. Why are scale drawings used in engineering?
Engineers use scale drawings to convey design concepts accurately and help various stakeholders understand the project details.
16. What does it mean if a scale drawing has a scale of 1:1?
A scale of 1:1 means the drawing is the same size as the actual object, showing a 1-to-1 correspondence.
17. Which of the following statements is true about scale drawings?
Scale drawings can be either smaller or larger than the actual object depending on the scale factor chosen.
18. What is the significance of maintaining proportions in a scale drawing?
By maintaining proportions, a scale drawing accurately represents the shape and size of the object being depicted.
19. If a scale drawing of a park has a scale factor of 1:500, and a bench in the park is 2.5 cm long in the drawing, how long is the actual bench?
To find the actual length, multiply the length in the scale drawing by the scale factor (500 in this case). So, 2.5 cm x 500 = 1250 cm = 1.25 m.
20. In a scale drawing of a house with a scale factor of 1:100, if the height of a door is 10 cm, what is the actual height of the door?
To find the actual height, multiply the height in the scale drawing by the scale factor (100 in this case). So, 10 cm x 100 = 1000 cm = 1 m.
21. Which of the following is NOT a common scale used in scale drawings?
The scale 1:1 is not commonly used in scale drawings as it would represent the actual size and not a scaled-down version.
22. In a scale drawing with a scale factor of 1:50, if the distance between two points is 8 cm, what is the actual distance between the points?
To find the actual distance, multiply the distance in the scale drawing by the scale factor (50 in this case). So, 8 cm x 50 = 400 cm.
23. What is the advantage of using a grid when creating scale drawings?
Grids help maintain accurate proportions and measurements in scale drawings by providing a reference for spacing and sizing.
24. If a scale drawing of a garden has a scale factor of 1:50, and a tree in the garden is 4 cm tall in the drawing, how tall is the actual tree?
To find the actual height, multiply the height in the scale drawing by the scale factor (50 in this case). So, 4 cm x 50 = 200 cm.
25. What is the purpose of a key or legend in a scale drawing?
A key or legend in a scale drawing helps viewers understand the scale, units of measurement, and any symbols or annotations used in the drawing.
26. What is a scale drawing?
A scale drawing is a representation of an object that maintains the proportional relationships between its components.
27. Which statement is true about scale drawings?
The scale in a scale drawing can be any number depending on the size of the object and the size of the drawing.
28. What does the scale factor of 1:50 mean?
In a scale drawing with a ratio of 1:50, the drawing is 50 times smaller than the actual object.
29. Why do we use scale drawings in mathematics?
Scale drawings help us accurately represent real-life objects on paper by maintaining proportional relationships.
30. What does the scale factor of 1:1 mean?
A scale factor of 1:1 means that the drawing is the same size as the actual object being represented.
31. Which of the following is NOT important when creating a scale drawing?
While aesthetics are important, the primary objective of a scale drawing is to maintain proportional accuracy, not to make it look pretty.
32. What does it mean if the scale of a drawing is 2 cm : 1 m?
In this scale, 2 cm on the drawing represents 1 m in reality, making the drawing 2 times smaller than the actual object.
33. Which of the following is a common scale used in maps?
In maps, scales like 1:500000 are used to represent large areas on small sheets of paper while maintaining proportionality.
34. If the scale of a drawing is 1:20, how many times bigger is the actual object compared to the drawing?
In a scale drawing of 1:20, the actual object is 20 times bigger than its representation on paper.
35. What is the purpose of a key or legend in a scale drawing?
A key or legend in a scale drawing helps the viewer understand the specific scale being used and interpret the drawing correctly.