Year 4 Shape and Geometry Worksheet - Intermediate

Year 4 Shape and Geometry worksheet for Year 4 (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

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Year 4 Shape and Geometry: Shape Detectives

Ages 8–9 • Intermediate

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Instructions: Explore shapes, angles, symmetry and coordinates. Read each question carefully and write your answer in the box; for the symmetry task, use the printed grid and pencil. Coordinates are written as (across, up), starting from the bottom-left corner.

Classify the Shapes

Use the properties in each description to name the shape. Think about the number of sides, equal sides and right angles. Write one shape name in each box.

1. I have four equal sides and four right angles. What quadrilateral am I?

2. I have four sides, with opposite sides equal and parallel, and four right angles. What quadrilateral am I?

3. I have four equal sides but no right angles. What quadrilateral am I?

4. I have three sides, all the same length. What triangle am I?

5. I have three sides, with two equal sides. What triangle am I?

Compare Shape Properties

Read each comparison and decide whether the statement is true or false. Write “true” or “false” in each box. Use the shape properties from Activity 1 to help you.

1. Every square is also a rectangle.

2. Every rectangle has four equal sides.

3. An equilateral triangle has three lines of symmetry.

4. A quadrilateral has four sides.

5. A right-angled triangle has one angle measuring 90°.

Angle Detectives

An acute angle is smaller than a right angle; an obtuse angle is larger than a right angle but smaller than two right angles. Name each angle type, then order the angles in Question 5 from smallest to largest.

1. 45°: acute, right or obtuse?

2. 90°: acute, right or obtuse?

3. 125°: acute, right or obtuse?

4. 180°: acute, right, obtuse or straight?

5. Order these angles from smallest to largest: 35°, 110°, 75°, 160°.

Symmetry on a Grid

Each row shows a left half of a figure and a vertical mirror line marked |. Complete the figure by writing the reflected squares on the right. The grid columns run from 1 to 7, with the mirror line between columns 3 and 4; rows are A to E from top to bottom. Then answer the two symmetry questions.

Grid key: Each coordinate is (column, row). The mirror line is between columns 3 and 4.

1. The left half has squares (2, B) and (3, B). Write the matching squares on the right:

2. The left half has squares (1, D), (2, D) and (3, D). Write the matching squares on the right:

3. The left half has squares (2, A), (2, B) and (3, B). Write the matching squares on the right:

4. How many lines of symmetry does a square have?

5. How many lines of symmetry does a non-square rectangle have?

Coordinates in the First Quadrant

Use the coordinate clues below. Coordinates are written (across, up), and both numbers are positive. Write each point’s coordinates in the box.

1. Point A is 2 squares across and 3 squares up from (0, 0). Write A’s coordinates.

2. Point B is 5 squares across and 1 square up from (0, 0). Write B’s coordinates.

3. Point C is 4 squares across and 6 squares up from (0, 0). Write C’s coordinates.

4. Point D is at (3, 5). How many squares across and how many squares up is D from (0, 0)?

5. Point E is at (6, 2). Write its coordinates in words as across first, then up.

Translate the Points

A translation moves a point without turning or flipping it. For each question, apply the stated movement to the starting coordinate; for example, “2 right and 1 up” adds 2 to the first coordinate and 1 to the second.

1. Start at (1, 2). Translate 3 right and 2 up. What is the new coordinate?

2. Start at (4, 1). Translate 2 right and 4 up. What is the new coordinate?

3. Start at (2, 5). Translate 3 right and 1 up. What is the new coordinate?

4. Point P moves from (1, 3) to (5, 3). Describe the translation.

5. Point Q moves from (3, 2) to (3, 6). Describe the translation.

Answer Key

Activity 1: 1. Square ; 2. Rectangle ; 3. Rhombus ; 4. Equilateral triangle ; 5. Isosceles triangle

Activity 2: 1. True ; 2. False ; 3. True ; 4. True ; 5. True

Activity 3: 1. Acute ; 2. Right ; 3. Obtuse ; 4. Straight ; 5. 35°, 75°, 110°, 160°

Activity 4: 1. (4, B), (5, B) ; 2. (4, D), (5, D), (6, D) ; 3. (5, A), (5, B), (4, B) ; 4. 4 ; 5. 2

Activity 5: 1. (2, 3) ; 2. (5, 1) ; 3. (4, 6) ; 4. 3 across and 5 up ; 5. 6 across and 2 up

Activity 6: 1. (4, 4) ; 2. (6, 5) ; 3. (5, 6) ; 4. 4 right ; 5. 4 up