Year 6 Shape and Geometry Worksheet - Beginner

Year 6 Shape and Geometry worksheet for Year 6 (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

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Shape Detectives: Year 6 Geometry

Year 6 • Ages 10–11 • Beginner

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Instructions: Work through each activity in order. Use a ruler and protractor where needed, and show your calculations in the answer boxes. For drawing tasks, use the printed dimensions and angles carefully; for coordinate questions, write each point as (x, y).

Draw 2-D Shapes from Measurements

Use a ruler and protractor on squared or plain paper. Draw each shape using the measurements given, then write its name in the box. Check that your lengths and angles are as accurate as you can make them.

1. Draw a triangle with sides 5 cm, 5 cm and 6 cm. Name the triangle.

2. Draw a rectangle with length 6 cm and width 3 cm. Write the size of one right angle in the rectangle.

3. Draw a quadrilateral with side lengths 4 cm, 4 cm, 4 cm and 4 cm and one angle of 90°. Name the shape.

4. Draw a triangle with angles 50°, 60° and 70°. Name the triangle by its angles.

Make and Recognise Nets

A net is a flat arrangement that can fold to make a 3-D shape. For each prompt, sketch a possible net in the large box and write the 3-D shape it makes. Use straight edges and make matching faces the same size.

1. Sketch a net made from 6 equal squares. What 3-D shape can it make?

2. Sketch a net made from 2 equal triangles and 3 rectangles. What 3-D shape can it make?

3. Sketch a net made from 1 square and 4 equal triangles. What 3-D shape can it make?

4. Sketch a net made from 6 rectangles arranged to form a box with rectangular faces. What 3-D shape can it make?

Find the Missing Angles

Use these facts: angles in a triangle total 180°, angles in a quadrilateral total 360°, and angles around a point total 360°. For a regular polygon, first divide 360° by the number of sides to find each exterior angle. Write the missing angle in each box.

1. A triangle has angles 48°, 67° and x°. Find x.

2. A quadrilateral has angles 90°, 110°, 85° and y°. Find y.

3. A regular pentagon has 5 equal exterior angles. Find the size of one exterior angle.

4. A regular hexagon has 6 equal exterior angles. Find the size of one exterior angle.

5. A triangle has angles 35°, 35° and z°. Find z.

Circle Parts

Use the word bank to label each description with the correct part of a circle. Remember: a diameter passes through the centre and is twice the radius. Write one term in each box.

Word bank: radius, diameter, circumference

1. The distance from the centre of a circle to its edge.

2. A straight line from one edge of a circle to the opposite edge, passing through the centre.

3. The distance all the way around the edge of a circle.

4. A circle has a radius of 4 cm. What is its diameter?

5. A circle has a diameter of 14 cm. What is its radius?

Coordinates in Four Quadrants

Coordinates are written (x, y): move horizontally first, then vertically. Positive x is right, negative x is left; positive y is up, negative y is down. For each question, plot or describe the requested point on a coordinate grid that includes all four quadrants.

1. Write the coordinates of a point 3 units right and 2 units up from the origin.

2. Write the coordinates of a point 4 units left and 1 unit up from the origin.

3. Write the coordinates of a point 2 units left and 5 units down from the origin.

4. Write the coordinates of a point 6 units right and 3 units down from the origin.

5. Point A is at (−2, 4). In which quadrant is A?

Translate and Reflect

A translation slides every point the same distance and direction without turning the shape. A reflection flips a shape across a mirror line. Apply each instruction to the given point or vertices, then write the new coordinates in the box.

1. Translate point A (2, 1) by 3 units right and 2 units up.

2. Translate point B (−1, 3) by 2 units left and 4 units down.

3. Reflect point C (4, 2) in the y-axis.

4. Reflect point D (−3, 5) in the x-axis.

5. Triangle PQR has vertices P(1, 1), Q(3, 1) and R(2, 3). Translate it 2 units left. Write the new coordinates of P, Q and R.

Answer Key

Activity 1: 1. Isosceles triangle ; 2. 90° ; 3. Square ; 4. Acute-angled triangle

Activity 2: 1. Cube ; 2. Triangular prism ; 3. Square-based pyramid ; 4. Cuboid (rectangular prism)

Activity 3: 1. 65° ; 2. 75° ; 3. 72° ; 4. 60° ; 5. 110°

Activity 4: 1. Radius ; 2. Diameter ; 3. Circumference ; 4. 8 cm ; 5. 7 cm

Activity 5: 1. (3, 2) ; 2. (−4, 1) ; 3. (−2, −5) ; 4. (6, −3) ; 5. Quadrant II

Activity 6: 1. (5, 3) ; 2. (−3, −1) ; 3. (−4, 2) ; 4. (−3, −5) ; 5. P′(−1, 1), Q′(1, 1), R′(0, 3)