Grade 7 · Math · Unit 17 of 20
Solids & Scale
Faces, symmetry and dilations
What your child practises
Counting faces, edges and vertices, classifying solids, planes of symmetry, enlarging and shrinking shapes by a scale factor, and scale drawings.
Ontario Curriculum expectation: E1.1–E1.3 · classifying prisms, pyramids and cylinders, symmetry, dilations and scale drawings
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 triangle has sides 3 cm, 4 cm, 5 cm. It is enlarged by a scale factor of 3. What is the length of its longest side now, in centimetres?
answer box
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15
Hint: Multiply each side by 3.
Question 2
How many faces does a square prism have?
- 12
- 6
- 9
Show answer
6
Hint: A prism has two bases plus one side face for each side of the base.
Question 3
A solid has two parallel, matching circular bases and a curved side. What is it?
- cylinder
- sphere
- cone
Show answer
cylinder
Hint: Look at the bases and the side faces.
Question 4
When two shapes are similar, corresponding angles are…
- all right angles
- doubled
- equal
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equal
Hint: Similar shapes have the same angles.
Question 5
A drawing uses a scale of 1 cm = 5 m. A wall is 60 m long. How long is it on the drawing, in centimetres?
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12
Hint: Divide 60 by 5.
Question 6
A solid has one square base and four triangle faces that meet at a point. What is it?
- square pyramid
- square prism
- cone
Show answer
square pyramid
Hint: Look at the bases and the side faces.