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Grade 6 Compound Shape Area Worksheets

Read an L-shape, a cut-out or a composite shape off the page, split it, and add or subtract the parts.

Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF — no account, no watermark. For the other grade 6 geometry skills, see all geometry worksheets.

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Geometry · Grade 6

Grade
Topic
SkillEach skill is a different kind of question, with its own levels.
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10

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Grade 6 · 4 pages · A4

Geometry Practice

Grade 6 • Compound Shape Area • A piece cut out
Name:Date:

A piece has been taken out of each shape. Find the area that is left.

  1. 1) A corner has been cut out of this sheet of card. What area is left?
    Answer:
    17 cm4 cm10 cm9 cm7 cm13 cm
  1. 2) A corner has been cut out of this sheet of card. What area is left?
    Answer:
    18 cm6 cm11 cm5 cm7 cm11 cm
  1. 3) A corner has been cut out of this sheet of card. What area is left?
    Answer:
    20 cm4 cm16 cm7 cm4 cm11 cm
  1. 4) A corner has been cut out of this sheet of card. What area is left?
    Answer:
    21 cm5 cm15 cm10 cm6 cm15 cm
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Page 1 of 4

A piece has been taken out of each shape. Find the area that is left. (continued)

  1. 5) A corner has been cut out of this sheet of card. What area is left?
    Answer:
    17 cm5 cm12 cm7 cm5 cm12 cm
  1. 6) A corner has been cut out of this sheet of card. What area is left?
    Answer:
    17 cm5 cm11 cm8 cm6 cm13 cm
  1. 7) A rectangle has been cut out of the middle of this card. What area is left?
    Answer:
    19 cm15 cm6 cm8 cm
  1. 8) A corner has been cut out of this sheet of card. What area is left?
    Answer:
    17 cm9 cm6 cm4 cm11 cm13 cm
  1. 9) A rectangle has been cut out of the middle of this card. What area is left?
    Answer:
    19 cm10 cm10 cm4 cm
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Page 2 of 4

A piece has been taken out of each shape. Find the area that is left. (continued)

  1. 10) A rectangle has been cut out of the middle of this card. What area is left?
    Answer:
    12 cm11 cm5 cm5 cm
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Page 3 of 4

Answer Key

  1. 1. 131 cm²
  2. 2. 143 cm²
  3. 3. 108 cm²
  4. 4. 165 cm²
  1. 5. 120 cm²
  2. 6. 133 cm²
  3. 7. 237 cm²
  4. 8. 197 cm²
  1. 9. 150 cm²
  2. 10. 107 cm²
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Page 4 of 4

What each level generates

Grade 6 compound shape area — the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Two rectangles joined
  2. Level 2A piece cut out
  3. Level 3A rectangle and a triangle

Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →

More Grade 6 geometry skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

▸What geometry is taught in Grade 6?

Typically angle sums in triangles and quadrilaterals, the area of compound shapes made from rectangles, and the circumference and area of a circle. Angle Sums in Shapes, Compound Shape Area, Circumference of a Circle and Area of a Circle each have a sheet of their own, all using pi = 3.14.

▸How do you find the circumference and area of a circle?

Circumference is 2 × π × radius, or π × diameter. Area is π × radius × radius. With π = 3.14, a circle of radius 5 cm has a circumference of 31.4 cm and an area of 78.5 cm². Circumference of a Circle and Area of a Circle are separate sheets, and both use measurements that keep every answer exact.

▸Do the angles in a quadrilateral add up to 360 degrees?

Yes. A triangle's angles total 180°, a quadrilateral's total 360°, and angles meeting at a point also total 360°. Angle Sums in Shapes covers the first two — the third angle in a triangle, then the fourth in a quadrilateral, then isosceles and right-angled cases. The around-a-point fact lives on the Missing Angles sheet.

▸How do you find the area of a compound shape?

Split it into rectangles, find each area, then add — or, if a piece has been cut out, find the whole rectangle's area and subtract the missing piece. Compound Shape Area gives each case its own level and prints the shape to scale, with the measurements it needs on its sides, so a student decides where to cut it.