Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 What is the name of a solid with two identical triangular ends joined by three rectangles?
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A triangular prism.
2 Write the number of faces and the number of vertices of a cube.
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6 faces and 8 vertices.
3 How many faces does a square pyramid have?
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5.
Level 2 · Core
4 How many edges does a hexagonal pyramid have?
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2 × 6 = 12 edges.
5 Write the number of faces, edges and vertices of a pentagonal prism.
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7 faces, 15 edges and 10 vertices.
6 How many vertices does a hexagonal prism have?
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12.
Level 3 · Challenge
7 Two cubes are glued together face to face.1 Before gluing there were 12 faces altogether.
2 The new solid has 11 faces.
3 The new solid has 10 faces.
Which statements are correct?
2 The new solid has 11 faces.
3 The new solid has 10 faces.
Which statements are correct?
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6 + 6 = 12 (1 ✓), and both glued faces disappear, so 12 − 2 = 10, not 11 (3 ✓, 2 ✗). 1 and 3.
8 A pyramid is built on a base with 8 sides. Write its number of faces and its number of edges.
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9 faces and 16 edges.
9 A solid has 7 faces, 15 edges and 10 vertices. How many sides does its base have?
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2n = 10, so n = 5 — it is a pentagonal prism.