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 Which of these is a cone?
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C — one circle end and a point, like a party hat.
2 Think about a cube. Write how many faces it has and how many edges it has.
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A cube has 6 faces and 12 edges (4 on top, 4 on the bottom, 4 uprights).
3 How many squares must a net have if it folds into a cube?
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6.
Level 2 · Core
4 A cylinder is standing on a table. What does it look like from directly above?
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From above you see the circular top, so a circle. From the side it looks like a rectangle.
5 A pyramid is made from 1 square and 4 triangles. Write how many faces and how many corners it has.
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It has 5 faces (1 square and 4 triangles) and 5 corners (4 at the base, 1 at the top).
6 How many edges does a pyramid with a square base have?
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4 + 4 = 8.
Level 3 · Challenge
7 Look at this stack of cubes. There are no gaps.1 There are 7 cubes altogether.
2 The tallest column is 4 cubes high.
3 There are 8 cubes altogether.
Which statements are correct?
2 The tallest column is 4 cubes high.
3 There are 8 cubes altogether.
Which statements are correct?
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The tallest column is 4 (2 ✓), and 4 + 3 + 1 = 8 cubes, not 7 (3 ✓, 1 ✗). 2 and 3.
8 A stack of cubes has columns 3, 2 and 1 cubes high, with no gaps. Write the number of cubes in the tallest column, and the total number of cubes.
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The tallest column has 3 cubes, and 3 + 2 + 1 = 6 altogether.
9 A square piece of paper is folded once down the middle, and one hole is cut through both layers. How many holes are there when it is unfolded?
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The cut passes through 2 layers, so there are 2 holes, one on each side of the fold.