2D & 3D Shapes

13 Grade 4 Mathematics questions on 2D & 3D Shapes, with worked marking schemes. 13 questions are available on this topic in full.

1. Question 1

   1 mark

   How many faces does a cube have?

   A. 12

   B. 8

   C. 4

   D. 6

   (1 mark)

   Marking scheme

   D. $6$ — a cube is bounded by $6$ square faces, one for each direction. B is its number of vertices and A its number of edges. Faces, edges and vertices are the three counts most easily swapped for one another.

2. Question 2

   1 mark

   Which 3D shape has a circular base and a curved surface meeting at a point?

   A. Pyramid

   B. Cylinder

   C. Sphere

   D. Cone

   (1 mark)

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3. Question 3

   1 mark

   A cuboid has ___ rectangular faces.

   A. 6

   B. 8

   C. 4

   D. 12

   (1 mark)

   Marking scheme

   A. $6$ — a cuboid is a box with $6$ rectangular faces in three opposite pairs. C is the count of its vertices and D of its edges. Faces, edges and vertices are the three counts most easily swapped for one another.

4. Question 4

   1 mark

   What is the name of a polygon with 8 sides?

   A. Hexagon

   B. Octagon

   C. Heptagon

   D. Nonagon

   (1 mark)

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5. Question 5

   1 mark

   How many edges does a square pyramid have?

   A. 4

   B. 12

   C. 5

   D. 8

   (1 mark)

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6. Question 6

   1 mark

   A cube-shaped box is used to pack sugar. How many flat faces does the box have?

   A. $6$

   B. $4$

   C. $12$

   D. $8$

   (1 mark)

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7. Question 7

   1 mark

   Which shape has 4 equal sides but angles that are NOT 90°?

   A. Square

   B. Rhombus

   C. Trapezium

   D. Rectangle

   (1 mark)

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8. Question 8

   1 mark

   How many sides does a pentagon have?

   A. 7

   B. 4

   C. 5

   D. 6

   (1 mark)

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9. Question 9

   1 mark

   A rectangle has ___ lines of symmetry.

   A. 0

   B. 1

   C. 4

   D. 2

   (1 mark)

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10. Question 10

    1 mark

    How many vertices does a triangular prism have?

    A. 5

    B. 9

    C. 8

    D. 6

    (1 mark)

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11. Question 11

    1 mark

    How many flat faces does a cylinder have?

    A. 3

    B. 0

    C. 2

    D. 1

    (1 mark)

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12. Question 12

    1 mark

    Which 2D shape has all sides equal and all angles equal to 90°?

    A. Rectangle

    B. Square

    C. Parallelogram

    D. Rhombus

    (1 mark)

    Marking scheme

    B. Square — a square is the only one with both properties. A rectangle has $90^{\circ }$ angles but its sides are not all equal; a rhombus has equal sides but its angles are not $90^{\circ }$; a parallelogram has neither.

13. Question 13

    1 mark

    A circle has ___ line(s) of symmetry.

    A. Infinite

    B. 2

    C. 0

    D. 1

    (1 mark)

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