Grade 8 · Math · Unit 13 of 18
Scale & Models
Scale drawings, views and models
What your child practises
Using scale drawings and maps to find real lengths and areas, redrawing at a new scale, matching solids to their top and front views, and building models from views.
Ontario Curriculum expectation: E1.2, E1.3 · top, front and side views of objects, models, and scale drawings used to find lengths and areas
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
A tower is 14 m tall. A model of it is built at a scale of 1 : 100. How tall is the model, in centimetres?
answer boxcm
Show answer
14 cm
Hint: Change 14 m to 1400 cm. Then divide by 100.
Question 2
A line is 24 cm long on a scale drawing with a scale of 1 : 20. The drawing is redrawn at a scale of 1 : 40. How long is the line now, in centimetres?
answer boxcm
Show answer
12 cm
Hint: The real length is 24 × 20 = 480 cm. Divide by 40 for the new drawing.
Question 3
On a floor plan, 1 cm stands for 1 m. A room is drawn 3 cm by 5 cm. What is the real area of the room, in square metres?
answer boxm²
Show answer
15 m²
Hint: The real room is 3 m by 5 m. Multiply to find the area.
Question 4
Which solid, standing on its base, has a square as both its top view and its front view?
- a sphere
- a cone
- a cube
- a cylinder
Show answer
a cube
Hint: Picture looking straight down at the solid, then straight at it from the front.
Question 5
A room is 25 m long. On a scale drawing with a scale of 1 : 500, how long is the room, in centimetres?
answer boxcm
Show answer
5 cm
Hint: Change 25 m to 2500 cm. Then divide by 500.
Question 6
On a floor plan, 1 cm stands for 2 m. A room is drawn 3 cm by 6 cm. What is the real area of the room, in square metres?
answer boxm²
Show answer
72 m²
Hint: The real room is 6 m by 12 m. Multiply to find the area.