Year 5 Shape and Geometry Worksheet - Intermediate
Year 5 Shape and Geometry worksheet for Year 5 (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.
Year 5 Shape and Geometry: Angles, Polygons and Movement
Key Stage 2 • Ages 9–10 • Intermediate
Instructions: Work through each activity carefully and show your reasoning where it helps. Use a ruler and protractor for the drawing and measuring tasks. For reflection and translation questions, describe the movement precisely using the information given.
Recognise 3-D Shapes from Their 2-D Drawings
Read each description of a 2-D drawing of a 3-D shape. Name the 3-D shape that could have produced it. Think about the shape of its faces and the edges shown.
1. The drawing shows two equal circles joined by a rectangle. Which 3-D shape is represented?
2. The drawing shows one square and four triangles meeting at the square’s edges. Which 3-D shape is represented?
3. The drawing shows six equal squares arranged as a net that can fold without overlap. Which 3-D shape is represented?
4. The drawing shows two equal pentagons joined by five rectangles. Which 3-D shape is represented?
5. The drawing shows two equal triangles joined by three rectangles. Which 3-D shape is represented?
Estimate and Measure Angles
First estimate each angle as acute, obtuse or reflex. Then use a protractor to draw an angle of the stated size and measure it to check your work. Write both your estimate and your measured result in each box.
1. Estimate the type of a 38° angle, then draw and measure a 38° angle.
2. Estimate the type of a 126° angle, then draw and measure a 126° angle.
3. Estimate the type of a 218° angle, then draw and measure a 218° reflex angle.
4. An angle is measured as 94°. Is it acute, obtuse or reflex?
5. An angle is measured as 305°. Is it acute, obtuse or reflex?
Angles on a Line and Around a Point
Use 180° for angles on a straight line and 360° for angles around a point. Subtract the angles you know to find each missing angle. Include the degree symbol in your answers.
1. Two angles on a straight line are 67° and x°. Find x.
2. Three angles on a straight line are 42°, 79° and y°. Find y.
3. Angles around a point are 90°, 115° and z°. Find z.
4. Four angles around a point are 80°, 95°, 110° and w°. Find w.
5. A straight line is divided into two angles. One is 138°. Find the other angle.
Regular and Irregular Polygons
A regular polygon has all sides equal and all angles equal. Decide whether each description is of a regular or irregular polygon, and name the polygon where possible.
1. A quadrilateral has four equal sides and four equal angles. Is it regular or irregular, and what is its name?
2. A pentagon has five equal sides, but its angles are not all equal. Is it regular or irregular?
3. A hexagon has six equal sides and six equal angles. Is it regular or irregular?
4. A triangle has angles of 60°, 60° and 60°. Is it regular or irregular?
5. An octagon has sides of different lengths. Is it regular or irregular?
Describe Reflections and Translations
Read each movement carefully. A reflection flips a shape across a mirror line; a translation slides it without turning or flipping. Give the requested description using clear direction words and, where given, the number of squares.
1. A shape is reflected in a vertical mirror line. What happens to its orientation: is it flipped or slid?
2. Point A is at (2, 3). It is translated 4 squares right and 2 squares up. What are its new coordinates?
3. A triangle is translated 3 squares left and 1 square down. Does its size or orientation change?
4. Point B is at (6, 5). It is reflected in the vertical line x = 4. What are the coordinates of its image?
5. A shape moves from (1, 2) to (1, 6) by translation. Describe the movement.
Activity 1: 1. Cylinder ; 2. Square-based pyramid ; 3. Cube ; 4. Pentagonal prism ; 5. Triangular prism
Activity 2: 1. Acute; 38° ; 2. Obtuse; 126° ; 3. Reflex; 218° ; 4. Obtuse ; 5. Reflex
Activity 3: 1. 113° ; 2. 59° ; 3. 155° ; 4. 75° ; 5. 42°
Activity 4: 1. Regular; square ; 2. Irregular ; 3. Regular ; 4. Regular ; 5. Irregular
Activity 5: 1. Flipped ; 2. (6, 5) ; 3. Neither; its size and orientation stay the same ; 4. (2, 5) ; 5. 4 squares up
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