Geometry and Angles Pre-Test

Name:

Date:

Part 1: Shapes and Spatial Reasoning

This pre-test helps your teacher find out what you already know. It is not graded. Try every question, show your thinking, and make your best estimate when you are unsure.

Curriculum focus: Year 5–6 Geometry and Spatial Reasoning, including 3D shapes and nets, 2D shape classification, transformations, tessellations and angles.

1. Study the labelled 3D shapes. Write the name of each shape.

A: □ B: ▭ C: △▱ D: ◇▲ E: ◯▱

A: ____________________ B: ____________________ C: ____________________

D: ____________________ E: ____________________

2. Complete the table for a cube.

Faces: ______ Edges: ______ Vertices: ______

Name one other 3D shape that has a curved surface: ______________________________

3. Match each net to the 3D shape it makes. Write the correct letter beside each shape.

Net A: □ □ □ □ in a row, with one □ above and one □ below the second square.

Net B: four triangles joined to the four sides of one square.

Net C: two triangles joined to the ends of three rectangles.

Cube: ______ Triangular prism: ______ Square-based pyramid: ______

4. Three nets are labelled A–C. Only one can fold to make a cube. Circle the valid cube net and explain how you know.

A: □ □ □ □ □ □ in one straight row

B: □ □ □ □ in a row, with one □ above the second and one □ below the third

C: □ □ □ □ in a row, with both extra squares above the second

Valid net: A B C

Explanation: ____________________________________________________________

5. A prism and a pyramid are both 3D shapes. Write one similarity and one difference.

Part 2: 2D Shapes, Transformations and Angles

6. Identify the quadrilaterals. Use the word bank: trapezium, parallelogram, rectangle, square, rhombus, kite.

1: ▱ 2: ▭ 3: ▱ 4: □ 5: ◇ 6: ◈

1: ____________________ 2: ____________________ 3: ____________________

4: ____________________ 5: ____________________ 6: ____________________

7. Complete the statements about lines.

Lines that stay the same distance apart are __________________ lines.

Lines that meet at a right angle are __________________ lines.

Give one example of parallel lines in the classroom: ______________________________

8. Classify the four triangles. Use the word bank: equilateral, isosceles, scalene, right-angled.

A: △ with three equal sides B: △ with two equal sides

C: △ with three different sides D: △ with one square corner

A: ____________________ B: ____________________ C: ____________________ D: ____________________

9. Use the transformation grid. The vertical line is a mirror line.

Grid: □ □ □ | □ □ □

□ ■ □ | □ □ □

□ ■ ■ | □ □ □

□ □ □ | □ □ □

The vertical line is shown by |. Draw the reflection on the right side.

Moving a shape without turning or flipping it is called a __________________.

Turning a shape around a point is called a __________________.

10. Tessellations cover a surface with repeating shapes and no gaps or overlaps. Draw a simple tessellation using one or more shapes.

Name one shape that can tessellate on its own: ______________________________

11. Identify each angle type. Use the word bank: acute, right, obtuse, reflex.

A: ∠ 45° B: ∟ 90° C: ∠ 120° D: ⟳ 270°

A: ____________________ B: ____________________ C: ____________________ D: ____________________

12. Solve these angle problems. Show your working.

a. A quarter turn is ______ degrees. A half turn is ______ degrees. A full turn is ______ degrees.

b. Angles on a straight line add to 180°. If one angle is 65°, the unknown angle is ______°.

c. Angles in a triangle add to 180°. Two angles are 50° and 60°. The unknown angle is ______°.

Confidence reflection

Circle one for each statement.

I can name and describe 3D shapes: Confident Almost there Need help

I can classify 2D shapes and triangles: Confident Almost there Need help

I can describe transformations and angles: Confident Almost there Need help

The topic I would most like to practise is:

Teacher Answer Key

Purpose: This pre-test is for baseline information. Use responses to plan teaching and support; it is not intended to be graded.

1. A cube; B rectangular prism; C triangular prism; D square-based pyramid; E cylinder.

2. 6 faces, 12 edges, 8 vertices. Example curved-surface shape: cylinder, cone or sphere.

3. Cube: A; triangular prism: C; square-based pyramid: B.

4. B is the intended valid net. Accept a clear explanation that the six squares fold to make all six faces of a cube without overlapping.

5. Similarity: both have flat faces, edges and vertices, or both have a repeated base. Difference: a prism has two matching parallel bases; a pyramid has one base and triangular faces meeting at one vertex.

6. 1 trapezium; 2 rectangle; 3 parallelogram; 4 square; 5 rhombus; 6 kite.

7. Parallel; perpendicular. Accept suitable classroom examples, such as opposite edges of a book for parallel lines.

8. A equilateral; B isosceles; C scalene; D right-angled.

9. The reflected shape is the same distance from the mirror line on the right. Translation; rotation.

10. Accept any accurate repeating tessellation with no gaps or overlaps. Examples include squares, equilateral triangles or regular hexagons.

11. A acute; B right; C obtuse; D reflex.

12. a. 90°, 180°, 360°. b. 115°. c. 70°.