Properties of 2D and 3D shapes – Year 2 maths test answers to download as PDF

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1. Answer to Question 1 (4 marks)

   1. Count the straight sides of the first shape: 5. A shape with 5 sides is a pentagon, so it has 5 sides. (1 mark)
   2. The second shape has 8 sides, so it is an octagon. Each side ends at a vertex, so it has 8 vertices. (1 mark)
   3. Compare 8 sides and 5 sides: 8 − 5 = 3. The octagon has 3 more sides than the pentagon. (2 marks: 1 for subtracting, 1 for 3)

2. Answer to Question 2 (4 marks)

   1. The shape has two flat circle faces and one curved face joining them, like a tin of soup. It is a cylinder. (1 mark)
   2. A cube has 6 faces (top, bottom, 4 sides), 12 edges (4 at the top, 4 at the bottom, 4 going up) and 8 vertices (4 at the top, 4 at the bottom). (2 marks: all three correct; 1 mark for two)
   3. A shape with a curved face can roll. A sphere rolls in every direction; a cylinder or a cone also rolls. (1 mark)

3. Answer to Question 3 (4 marks)

   1. A square can be folded in half in 4 ways: down the middle, across the middle and along both diagonals. It has 4 lines of symmetry. (1 mark)
   2. A rectangle only folds exactly down the middle and across the middle, so it has 2 lines of symmetry. (1 mark)
   3. No. Cutting along a diagonal makes two triangles that are the same size, but when you fold along the diagonal one triangle does not land exactly on the other. So a diagonal is not a line of symmetry of a rectangle. (2 marks: 1 for no, 1 for the reason)

4. Answer to Question 4 (4 marks)

   1. Count the sides of each shape. Only the square and the rectangle have exactly 4 sides. (1 mark)
   2. A shape has as many vertices as sides, so 6 vertices means 6 sides: the hexagon. (1 mark)
   3. The circle is the only shape in the list with a curved side. (1 mark)
   4. The triangle has 3 sides, the square and rectangle 4, the hexagon 6 and the circle no straight sides. The fewest straight sides belongs to the triangle, with 3. (1 mark)

5. Answer to Question 5 (4 marks)

   1. A cuboid is a box shape with 6 faces: top, bottom, front, back and two ends. It has 8 vertices, 4 at the top and 4 at the bottom. (2 marks: 1 for each number)
   2. The box has 12 edges and the ribbon covers 4 of them: 12 − 4 = 8 edges not covered. (1 mark)
   3. A cylinder has a flat circle at the top and another at the bottom, so the tin has 2 flat faces, plus one curved face. (1 mark)

Total : 20 marks