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Compound Shapes Area – Colour by Number Activity

Ten compound-shape area problems each pair a computed value with a colour, which students then use to fill in a number grid that reveals a hidden picture.
Grades
Grades 7–10
File type
PDF
Preparation
Print ready

Updated Feb 18, 2024

Subject
Geometry, Math
Topic
Middle School Math, Colour By Number
Resource types
Worksheets, Worksheets & Printables
Preparation
Print ready

From the author

About this resource

Engage secondary math students by reviewing areas of compound shapes with this colour by number activity. Students will calculate the area for various compound shapes on the printable worksheet. Then, they will colour in the corresponding question number on the next page according to the colour key. An answer key is provided for students to check their work before colouring. This activity can be used for independent practice, partner work, homework, or an option for early finishers. The colour by number format makes reviewing geometry concepts like finding the areas of compound shapes more engaging and fun. This activity is designed for grades 7-10 and works well for middle and high school math teachers looking for a creative way to build geometry skills. Pair it with a lesson on area or use it for test prep. Save time prepping with this ready-to-print 4-page resource.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Students calculate the area of compound (composite) shapes by decomposing them into simpler figures.

  • Students apply a computed numeric answer to a colour-matching key rather than writing the number directly.

  • Students self-check their area calculations, since an error produces a visibly incorrect colour-by-number result.

Teaching tips

  • Have students show their area-decomposition work for each of the 10 shapes on a separate sheet before transferring only the colour to the grid, since the colour-by-number format hides individual numeric answers.

  • Use the answer key to spot-check a student's colouring quickly against the expected area-to-colour pairing rather than re-solving every shape.

  • Assign the activity as independent practice after direct instruction on decomposing compound shapes into rectangles and triangles, since the worksheet itself provides no worked example.

Skills covered

  • Compound-shape area calculation — students decompose 10 composite figures into simpler shapes to compute area.

  • Self-checking through colour-by-number — students verify their arithmetic because an incorrect area produces a visibly wrong colour in the revealed picture.

  • Precision and unit tracking — students track area values in square centimeters across ten distinct problems.

Good to know

Questions teachers ask about this resource

How does the colour-by-number format connect to the area problems?

Each of the 10 area problems is labeled with a colour instead of a blank answer line. After calculating a shape's area, students use the matching colour to fill in the corresponding section of a number grid, so a wrong calculation shows up as an incorrect colour in the revealed picture.

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Resource details

Concepts & topics

Core concepts

  • Area of compound shapes

  • Decomposition into simpler figures

  • Colour-by-number self-checking

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