Year 5 Shape and Geometry Worksheet - Beginner

Year 5 Shape and Geometry worksheet for Year 5 (Key Stage 2 / Year 3-6 (Ages 7-11)). Beginner level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 2 / Year 3-6 (Ages 7-11)•Geometrybeginner

37 views

Year 5 Shape and Geometry: Angles, Solids and Transformations

Ages 9–10 | Beginner level

Name:

Date:

Score:

Instructions: Work through each activity in order and write your answers in the boxes. Estimate angles before calculating, and remember to include degree symbols where appropriate. For drawing and measuring, use a ruler and protractor.

Recognise 3-D Shapes from 2-D Drawings

Each description tells you what a 2-D drawing of a 3-D shape looks like. Name the 3-D shape. Use the face shapes and counts as clues.

1. The drawing shows 6 equal squares joined edge to edge. Which 3-D shape could it fold into?

2. The drawing shows 6 rectangles arranged as a net. Which 3-D shape could it fold into?

3. The drawing shows 1 square and 4 triangles joined to its sides. Which 3-D shape could it fold into?

4. The drawing shows 2 circles and 1 rectangle. Which 3-D shape could it fold into?

5. The drawing shows 1 circle and a curved sector. Which 3-D shape could it fold into?

Estimate, Draw and Measure Angles

First estimate each angle as acute, obtuse or reflex. Then draw an angle of the stated size with a protractor and label it with its measure. A reflex angle is greater than 180° and less than 360°.

1. Estimate: 42° is acute, obtuse or reflex?

2. Estimate: 128° is acute, obtuse or reflex?

3. Estimate: 240° is acute, obtuse or reflex?

4. Draw and label an angle of 65°.

5. Draw and label an angle of 215°.

Angles on a Line and Around a Point

Use the angle facts to find each missing angle. Angles on a straight line total 180°; angles around a point total 360°. Show the calculation or number sentence in each box.

1. A straight line is split into angles of 70° and x°. Find x.

2. A straight line is split into angles of 125° and y°. Find y.

3. Angles around a point are 90°, 110° and z°. Find z.

4. Angles around a point are 145°, 85° and w°. Find w.

5. Three angles on a straight line are 45°, 80° and t°. Find t.

Regular or Irregular Polygons?

A regular polygon has all sides equal and all angles equal. Use the facts given to classify each polygon as regular or irregular. Write one reason for each choice.

1. A triangle has three equal sides and three equal angles. Regular or irregular? Give a reason.

2. A quadrilateral has four equal sides, but its angles are 90°, 90°, 90° and 90°. Regular or irregular? Give a reason.

3. A pentagon has five equal sides and five equal angles. Regular or irregular? Give a reason.

4. A hexagon has six equal angles, but two sides are longer than the other four. Regular or irregular? Give a reason.

5. A rectangle is 8 cm long and 3 cm wide. Regular or irregular? Give a reason.

Describe Reflections and Translations

A reflection flips a shape in a mirror line. A translation slides a shape without turning or flipping it. Read each description and name the transformation; for translation questions, include the direction and distance.

1. A triangle is flipped over a vertical mirror line. Name the transformation.

2. A square moves 4 squares right and 2 squares up, without turning. Name the transformation and describe the movement.

3. A pentagon is flipped over a horizontal mirror line. Name the transformation.

4. A rectangle slides 3 squares left and 1 square down, without turning. Name the transformation and describe the movement.

5. A shape is reflected in a vertical mirror line. Is its image the same size as the original?

Answer Key

Activity 1: Cube ; cuboid (rectangular prism) ; square-based pyramid ; cylinder ; cone

Activity 2: Acute ; obtuse ; reflex ; draw and label a 65° angle ; draw and label a 215° reflex angle

Activity 3: 110° ; 55° ; 160° ; 130° ; 55°

Activity 4: Regular — all sides and angles are equal ; Irregular — although the sides are equal, the angles are not all equal (a square would have four equal sides and four equal angles) ; Regular — all sides and angles are equal ; Irregular — the sides are not all equal ; Irregular — the four sides are not all equal

Activity 5: Reflection ; translation, 4 squares right and 2 squares up ; reflection ; translation, 3 squares left and 1 square down ; Yes, the reflected image is the same size