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Surface Area of Composite Shapes - Printable Mathematics Worksheets - Wayground

Surface Area of Composite Shapes

10 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students focused practice finding the area of composite shapes through 10 multiple-choice questions. Students interpret composite figures, identify the correct base and height for a triangle within a shape, calculate shaded regions, and apply area strategies to figures that include circular parts using 3.14 for pi. Answers use square units such as square centimeters, meters, feet, inches, and other labeled units. The worksheet helps students choose and combine the appropriate area calculations rather than relying on a single formula for every figure. It also gives teachers a quick way to check whether students can read dimensions, select relevant measurements, and record area with the correct units. This free printable worksheet is suitable for Grade 7 math practice, independent work, review, or formative assessment, and it includes an answer key for efficient checking.

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Worksheets

Surface Area of Composite Shapes

Total questions: 10

Name
Class
Date
1.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
2.
What is the base and the height of the triangle in this composite shape?
a)
base: 8cm
height: 5 cm
b)
base: 5 cm
height: 8 cm
c)
base: 5 cm
height: 5 cm
d)
base: 1 cm
height: 2 cm
3.
What is the area of this shape?
a)
108 cm2
b)
60 cm2
c)
432 cm2
d)
216 cm2
4.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
5.
What is the area of this composite shape?
a)
14 in2
b)
68 in2
c)
36 in2
d)
24 in2
6.
What is the area of the composite shape?
a)
50cm2
b)
25cm2
c)
40cm2
d)
35cm2
7.
What is the area of the composite figure? (use 3.14 for pi)
a)
14 cm2
b)
6.28 cm2
c)
12.56 cm2
d)
20.28 cm2
8.
Find the area of the figure
a)
43 sq inches
b)
102 sq inches
c)
37 inches
d)
90 sq inches
9.
a)
296.96 m2
b)
248.96 m2
c)
98.24 m2
d)
73.12 m2
10.
a)
153.93 in2
b)
115.43 in2
c)
230.86 in2
Answer Key

Surface Area of Composite Shapes

Total questions: 10

1.
c) 106 m2
2.
c) base: 5 cm
height: 5 cm
3.
d) 216 cm2
4.
d) 61ft2
5.
c) 36 in2
6.
c) 40cm2
7.
d) 20.28 cm2
8.
b) 102 sq inches
9.
d) 73.12 m2
10.
a) 153.93 in2

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FAQs

What does the Surface Area of Composite Shapes worksheet cover?

This Grade 7 worksheet builds skill in finding the area of composite figures by combining the areas of their component shapes. Its 10 multiple-choice items include shaded-region problems, identifying a triangle’s base and height, figures with circular parts that require using 3.14 for pi, and answers expressed in square units.

How can I use this worksheet to teach finding the area of composite shapes?

Before students begin, model how to separate one composite figure into familiar parts and decide which dimensions belong to each part. Then use the triangle base-and-height item to discuss selecting measurements and the circle item to reinforce using 3.14 for pi. Have students explain why the component areas should be added or, for a shaded region, subtracted before completing the remaining multiple-choice questions.

What mistakes should I watch for when students complete this composite-shapes worksheet?

Watch for students choosing the wrong base or height in the triangle item, adding a region that should be removed when finding a shaded area, or using an incorrect formula for a circular part. Students may also select a distractor based on an arithmetic error or report a length unit instead of square units, so ask them to check both their calculation and the units shown in each question.

How do I assign and grade this composite-shapes worksheet?

The worksheet is available on Wayground as a printable PDF and as a digital quiz, with a complete answer key for all 10 multiple-choice questions. You can grade printed submissions by scanning student work with the Wayground for Teachers app, while the digital version supports online assignment and grading. The printable format can also support schools that are reducing screen time.

How can I differentiate this composite-shapes worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the dimensions, answer choices, and composite-shape prompts are easier to read. You can also enable a dyslexia-friendly font or translate the multiple-choice worksheet into another language when that supports access to the instructions and mathematical vocabulary.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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