Year 5–6 Geometry and Angles Pre-Test

Name:

Date:

A–D: Shapes, Nets and Spatial Reasoning

This is a pre-test, so do your best. It is fine if some questions are new to you. Show your thinking where possible.

1. 3D shapes

Identify each labelled shape. Record its number of faces, edges and vertices, then write one fact about it.

A: ◻️ B: ▭ C: △▱ D: ▲□ E: ○▯

A: ____________ Faces: ____ Edges: ____ Vertices: ____ Fact: ____________________

B: ____________ Faces: ____ Edges: ____ Vertices: ____ Fact: ____________________

C: ____________ Faces: ____ Edges: ____ Vertices: ____ Fact: ____________________

D: ____________ Faces: ____ Edges: ____ Vertices: ____ Fact: ____________________

E: ____________ Faces: ____ Edges: ____ Vertices: ____ Fact: ____________________

What is a prism? ______________________________________________________________

Which of the five shapes are prisms? __________________________________________

2. Nets and spatial reasoning

Circle the net that folds into a cube. Explain how you know.

A: □ □ □ □
□

B:      □
     □ □ □
     □ □

C: □ □ □
□ □ □

Match each shape to a suitable net: triangular prism, square-based pyramid, rectangular prism.

1. Triangular prism

2. Square-based pyramid

3. Rectangular prism

A. One square with four triangles

B. Three rectangles with two triangles

C. Six rectangles

3. Quadrilaterals and lines

Identify each quadrilateral.

A: ▱ B: ▭ C: □ D: ◇ E: ▱ with all sides equal F: ◈

Use these names: trapezium, parallelogram, rectangle, square, rhombus, kite.

A: __________ B: __________ C: __________ D: __________ E: __________ F: __________

Draw one pair of parallel lines and one pair of perpendicular lines.

Explain what perpendicular lines are. ___________________________________________

How can a square belong to more than one shape group? ___________________________

4. Triangles and comparing shapes

Classify each triangle using equilateral, isosceles, scalene or right-angled.

A: △ with sides 5 cm, 5 cm, 5 cm: ____________________

B: △ with sides 6 cm, 6 cm, 4 cm: ____________________

C: △ with sides 4 cm, 5 cm, 7 cm: ____________________

D: △ with one 90° angle: ____________________

Write one similarity and one difference between prisms and pyramids.

E–G: Transformations, Tessellations and Angles

5. Transformations

Identify each transformation: reflection, translation or rotation.

a) A shape is flipped over a mirror line: ____________________

b) A shape slides 5 squares to the right: ____________________

c) A shape turns around a fixed point: ____________________

On the grid, draw triangle ABC with A(2,2), B(4,2), C(3,4). Reflect it across the vertical mirror line x = 6. Then translate the reflected triangle 4 squares right.

8 · · · · · │ · · · ·

7 · · · · · │ · · · ·

6 · · · · · │ · · · ·

5 · · · · · │ · · · ·

4 · · · · · │ · · · ·

3 · · · · · │ · · · ·

2 · · · · · │ · · · ·

1 · · · · · │ · · · ·

Explain how you would describe a translation 5 squares right. ____________________

6. Tessellations

What is a tessellation? ________________________________________________________

Tick the shapes that are likely to tessellate without gaps or overlaps.

Square

Equilateral triangle

Circle

Regular pentagon

Explain one of your choices. ___________________________________________________

7. Angle facts and angle types

Complete: A quarter turn = ____°; a half turn = ____°; a full turn = ____°; a right angle = ____°.

Classify each illustrated angle as acute, right, obtuse, straight or reflex.

A: ∠35° ____________________ B: ∠90° ____________________ C: ∠125° ____________________

D: ∠180° ____________________ E: ∠240° ____________________

8. Missing angles

a) 125° + x = 180°. Find x. x = ______°

b) 90° + 120° + 80° + x = 360°. Find x. x = ______°

c) Vertically opposite angles are equal. If one angle is 65°, the opposite angle is ______°.

d) Find x in a triangle with angles 50°, 60° and x. x = ______°

e) Find x in a quadrilateral with angles 90°, 80°, 100° and x. x = ______°

9. Student reflection

Tick one statement.

Easy

Some parts were tricky

Difficult

One thing I would like to practise is: __________________________________________

Teacher Answer Key

1. A cube: 6 faces, 12 edges, 8 vertices. B rectangular prism or cuboid: 6 faces, 12 edges, 8 vertices. C triangular prism: 5 faces, 9 edges, 6 vertices. D square-based pyramid: 5 faces, 8 edges, 5 vertices. E cylinder: 3 faces, 2 curved edges, 0 vertices. A prism has two congruent, parallel ends joined by rectangular or parallelogram faces. Prisms: cube, rectangular prism and triangular prism.

2. Net A folds into a cube. Matching: 1–B, 2–A, 3–C.

3. A parallelogram, B rectangle, C square, D rhombus, E rhombus, F kite. Accept equivalent correct labels where the diagram is interpreted accurately. Parallel lines never meet and remain the same distance apart. Perpendicular lines meet at a right angle. A square is both a rectangle and a rhombus, and therefore also a parallelogram.

4. A equilateral, B isosceles, C scalene, D right-angled. Similarity: both have flat faces and edges, or both are 3D solids. Difference: a prism has two matching parallel bases; a pyramid has one base and triangular faces meeting at one vertex.

5. a) Reflection, b) translation, c) rotation. A translation 5 squares right moves every point the same distance and direction: 5 squares to the right.

6. A tessellation covers a surface with repeated shapes without gaps or overlaps. Shapes likely to tessellate: square and equilateral triangle. Circles and regular pentagons do not tessellate by themselves in a regular pattern without gaps.

7. Quarter turn 90°, half turn 180°, full turn 360°, right angle 90°. A acute, B right, C obtuse, D straight, E reflex.

8. a) 55°, b) 70°, c) 65°, d) 70°, e) 90°.

9. Student reflection; no fixed answer.