Year 4 Shape and Geometry Worksheet - Beginner
Year 4 Shape and Geometry worksheet for Year 4 (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.
Year 4 Shape Detectives
Key Stage 2 • Ages 8–9 • Beginner
Instructions: Work through the activities in order. Use the properties given to explain your choices, and remember that coordinates are written (across, up). For symmetry, imagine folding a shape along its line of symmetry: both sides should match.
Classify Triangles
Use the side and angle clues to name each triangle. Choose from equilateral, isosceles, scalene or right-angled; a triangle may fit more than one description. Write one suitable name for each.
1. All three sides are the same length.
2. Exactly two sides are the same length.
3. All three sides have different lengths.
4. One angle is a right angle.
Quadrilateral Property Sort
A quadrilateral is a shape with four straight sides. Read each description and name the quadrilateral that fits best. Use the word bank; some names may be used more than once.
Word bank: square, rectangle, rhombus, parallelogram, trapezium
1. Four equal sides and four right angles.
2. Four right angles; opposite sides are equal.
3. Four equal sides; opposite angles are equal, but there are no right angles.
4. Both pairs of opposite sides are parallel.
5. Exactly one pair of opposite sides is parallel.
Spot and Order Angles
An acute angle is smaller than a right angle (90°); an obtuse angle is larger than 90° but smaller than 180°. Classify the angles, then order the final set from smallest to largest. Use the angle sizes shown.
1. 35°: acute, right or obtuse?
2. 90°: acute, right or obtuse?
3. 125°: acute, right or obtuse?
4. Put these angles in order from smallest to largest: 45°, 110°, 80°.
5. Is 180° equal to one right angle or two right angles?
Lines of Symmetry
A line of symmetry divides a shape into two matching halves. Use the facts given to name the shape, then state how many lines of symmetry it has. For the last question, describe where you would draw the line.
1. A square has how many lines of symmetry?
2. A rectangle that is not a square has how many lines of symmetry?
3. An equilateral triangle has how many lines of symmetry?
4. A circle has how many lines of symmetry?
5. A shape has exactly one line of symmetry, running from top to bottom through its centre. How many lines of symmetry does it have?
Coordinates in the First Quadrant
Coordinates are written (across, up): move across first, then up. Imagine a grid numbered from 0 to 6 on both axes. Write the coordinate for each point.
1. Point A is 2 squares across and 3 squares up. Write its coordinate.
2. Point B is 5 squares across and 1 square up. Write its coordinate.
3. Point C is on the across-axis at 4. Write its coordinate.
4. Point D is 3 squares across and 6 squares up. Write its coordinate.
5. Point E is at (1, 4). How many squares across and how many squares up is it?
Describe the Translation
A translation slides a shape without turning or flipping it. Read each movement as across first, then up or down. Give the new coordinate after each translation.
1. Point P starts at (1, 2). Move it 3 squares right. What is its new coordinate?
2. Point Q starts at (2, 1). Move it 2 squares up. What is its new coordinate?
3. Point R starts at (4, 3). Move it 1 square left and 2 squares up. What is its new coordinate?
4. Point S starts at (5, 4). Move it 3 squares left and 1 square down. What is its new coordinate?
5. Point T moves from (1, 1) to (4, 3). Describe the translation.
Activity 1: 1. Equilateral ; 2. Isosceles ; 3. Scalene ; 4. Right-angled
Activity 2: 1. Square ; 2. Rectangle ; 3. Rhombus ; 4. Parallelogram ; 5. Trapezium
Activity 3: 1. Acute ; 2. Right ; 3. Obtuse ; 4. 45°, 80°, 110° ; 5. Two right angles
Activity 4: 1. 4 ; 2. 2 ; 3. 3 ; 4. Infinitely many ; 5. 1
Activity 5: 1. (2, 3) ; 2. (5, 1) ; 3. (4, 0) ; 4. (3, 6) ; 5. 1 square across and 4 squares up
Activity 6: 1. (4, 2) ; 2. (2, 3) ; 3. (3, 5) ; 4. (2, 3) ; 5. 3 squares right and 2 squares up
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