Year 6 Shape and Geometry Worksheet - Intermediate

Year 6 Shape and Geometry worksheet for Year 6 (Key Stage 2 / Year 3-6 (Ages 7-11)). Intermediate 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)•Geometryintermediate

38 views

Year 6 Shape and Geometry: Draw, Solve and Transform

Key Stage 2 · Ages 10–11 · Intermediate

Name:

Date:

Score:

Instructions: Use a ruler and protractor where needed, and show your calculations in the answer boxes. For drawing tasks, use the stated measurements carefully; for coordinate tasks, treat the first number as x and the second as y.

Draw 2-D Shapes and Plan a Net

Use a ruler and protractor to draw each shape in the large box, following the measurements exactly. For the net question, draw the faces and show how they are joined so they could fold into the named solid.

1. Draw a rectangle with length 6 cm and width 3 cm.

2. Draw a triangle with sides 5 cm, 5 cm and 6 cm.

3. Draw a quadrilateral with sides 4 cm, 4 cm, 4 cm and 4 cm, and one interior angle of 90°.

4. Draw a triangle with angles 45°, 45° and 90°.

5. Draw a net for a cube, using six equal squares.

Find the Unknown Angles

Use angle facts to calculate each missing angle. Remember that angles in a triangle total 180°, angles in a quadrilateral total 360°, and angles around a point total 360°.

1. A triangle has angles 48° and 67°. Find its third angle.

2. A quadrilateral has angles 90°, 85° and 110°. Find its fourth angle.

3. A regular pentagon has five equal interior angles. Find the size of one interior angle.

4. A regular hexagon has six equal interior angles. Find the size of one interior angle.

5. An isosceles triangle has a 38° angle between its equal sides. Find each of its equal angles.

Circle Parts

Use the word bank to complete each sentence. Each word is used once. The diameter passes through the centre of a circle.

Word bank: radius, diameter, circumference

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

2. The distance all the way around a circle is its ___.

3. A straight line from one side of a circle to the other, through the centre, is the ___.

4. A circle has a radius of 7 cm. Its diameter is ___.

5. A circle has a diameter of 18 cm. Its radius is ___.

Coordinates in Four Quadrants

Read each coordinate as (x, y). For the drawing question, plot the points on a set of axes covering x = −4 to 4 and y = −4 to 4, then join them in order.

1. In which quadrant is the point (−3, 2)?

2. In which quadrant is the point (4, −1)?

3. Reflect the point (−2, −5) in the x-axis. Write its new coordinates.

4. Translate the point (−1, 3) by ( +4, −2 ). Write its new coordinates.

5. Plot and join A(−3, −2), B(−1, −2), C(−1, 1) and D(−3, 1), then write the name of the shape formed.

Translate and Reflect Shapes

Apply each transformation to every vertex of the shape. A translation of (a, b) adds a to each x-coordinate and b to each y-coordinate. For reflections, use the stated axis and give the new coordinates.

1. Translate triangle A(1, 1), B(3, 1), C(2, 3) by (−2, +1). Write A′, B′ and C′.

2. Reflect P(−4, 2), Q(−2, 2), R(−2, 4) in the y-axis. Write P′, Q′ and R′.

3. Reflect S(1, −3), T(4, −3), U(4, −1) in the x-axis. Write S′, T′ and U′.

4. Translate the point V(−3, −2) by (+5, +4). Write its new coordinates.

5. Point W(2, −5) is reflected in the x-axis and then translated by (−1, +2). Write its final coordinates.

Answer Key

Activity 1: Drawings to stated dimensions; Q5: any valid cube net made from six equal squares ; Activity 2: 65° ; 75° ; 108° ; 120° ; 71° each ; Activity 3: radius ; circumference ; diameter ; 14 cm ; 9 cm ; Activity 4: Quadrant II ; Quadrant IV ; (−2, 5) ; (3, 1) ; rectangle ; Activity 5: A′(−1, 2), B′(1, 2), C′(0, 4) ; P′(4, 2), Q′(2, 2), R′(2, 4) ; S′(1, 3), T′(4, 3), U′(4, 1) ; (2, 2) ; (1, 7)