Year 5–6 Geometry and Angles Pre-Test

Name:

Date:

Part 1: 3D Shapes and Quadrilaterals

1. Complete the facts about these 3D shapes.

Shape: cube Faces: ______ Edges: ______ Vertices: ______

Shape: cuboid Faces: ______ Edges: ______ Vertices: ______

Shape: triangular prism Faces: ______ Edges: ______ Vertices: ______

Shape: square-based pyramid Faces: ______ Edges: ______ Vertices: ______

2. What is a prism? Give one similarity and one difference between a prism and a pyramid.

3. Draw a net for a cube. Then explain how you know that your net will fold to make a cube.

4. Name the quadrilateral described.

a) Four equal sides and four right angles: ____________________

b) Two pairs of parallel sides, but not necessarily right angles: ____________________

c) One pair of parallel sides: ____________________

d) Two pairs of equal adjacent sides: ____________________

e) Four equal sides, but not necessarily right angles: ____________________

Part 2: Lines, Triangles and Transformations

5. Answer the questions about lines.

a) What does it mean when two lines are parallel?

b) What does it mean when two lines are perpendicular?

6. A square belongs to several groups of quadrilaterals. Explain why a square can also be called a rectangle, a rhombus and a parallelogram.

7. How many different types of triangles do you know? Name one fact about each.

8. Match each description to the correct transformation.

A shape is flipped over a line: ____________________

A shape is slid without being turned: ____________________

A shape is turned around a fixed point: ____________________

Choose from: reflection, translation, rotation.

9. What is a tessellation? Describe one shape or group of shapes that could tessellate a surface without gaps or overlaps.

Part 3: Angles and Reflection

10. Complete the angle facts.

a) A quarter turn is ______° and is a ____________________ angle.

b) A half turn is ______° and is a ____________________ angle.

c) An angle smaller than 90° is called an ____________________ angle.

d) An angle between 90° and 180° is called an ____________________ angle.

11. Solve each angle problem. Show your working.

a) Angles on a straight line are 65° and x°. Find x. x = ______°

b) Angles at a point are 90°, 120°, 80° and y°. Find y. y = ______°

c) One vertically opposite angle is 48°. What is the other vertically opposite angle? ______°

12. Use angle totals to solve these problems. Show your working.

a) Two angles in a triangle are 55° and 70°. Find the third angle. ______°

b) Three angles in a quadrilateral are 90°, 85° and 110°. Find the fourth angle. ______°

Student Reflection

Which geometry topic do you feel most confident about? Which topic would you like to practise more?

TEACHER ANSWER KEY — START ON A NEW PAGE

Part 1: 3D Shapes and Quadrilaterals

1. Cube: 6 faces, 12 edges, 8 vertices. Cuboid: 6 faces, 12 edges, 8 vertices. Triangular prism: 5 faces, 9 edges, 6 vertices. Square-based pyramid: 5 faces, 8 edges, 5 vertices.

2. A prism has two identical, parallel ends and faces joining the ends. Acceptable similarity: both are 3D solids/polyhedra with faces, edges and vertices. Acceptable difference: a prism has two matching parallel bases; a pyramid has one base and triangular faces meeting at one point.

3. Accept any valid cube net made from six connected squares that folds into a cube. The explanation should mention six faces joining edge-to-edge with no overlapping faces when folded.

4. a) Square. b) Parallelogram. c) Trapezium. d) Kite. e) Rhombus.

Part 2: Lines, Triangles, Transformations and Angles

5. Parallel lines remain the same distance apart and never meet. Perpendicular lines meet at a right angle of 90°.

6. A square is a rectangle because it has four right angles. It is a rhombus because it has four equal sides. It is a parallelogram because both pairs of opposite sides are parallel.

7. Acceptable triangle types include equilateral, isosceles and scalene by side length, and acute, right-angled and obtuse by angle size. Facts must be accurate. For example: an equilateral triangle has three equal sides; an isosceles triangle has two equal sides; a scalene triangle has no equal sides; a right-angled triangle has one 90° angle.

8. Flipped over a line: reflection. Slid without being turned: translation. Turned around a fixed point: rotation.

9. A tessellation is a repeating pattern of shapes that covers a surface without gaps or overlaps. Accept squares, rectangles, equilateral triangles, regular hexagons and other valid examples.

10. a) 90°, right angle. b) 180°, straight angle. c) acute. d) obtuse.

11. a) 115°. b) 70°. c) 48°.

12. a) 55°. b) 75°. Triangle total: 180°. Quadrilateral total: 360°.

Student Reflection: Answers will vary. Look for a sensible response identifying a strength and a topic for further practice.