Grade 7 Math Test Questions for Area and Circumference Combined

📚 Quick Study Guide

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• Area: The amount of space inside a 2D shape.
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• Circumference: The distance around a circle.
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• Area of a Circle: $A = \pi r^2$, where $r$ is the radius.
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• Circumference of a Circle: $C = 2 \pi r$ or $C = \pi d$, where $d$ is the diameter.
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• Key Tip: Remember that the diameter is twice the radius ($d = 2r$).
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• Combined Shapes: Break down complex shapes into simpler ones (circles, squares, rectangles) to calculate their areas.
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• Units: Always include the correct units (e.g., $cm^2$ for area, $cm$ for circumference).

Practice Quiz

1. A circle has a radius of 5 cm. What is its area?
   1. 78.5 $cm^2$
   2. 31.4 $cm^2$
   3. 15.7 $cm^2$
   4. 25 $cm^2$
2. A circular garden has a diameter of 14 meters. What is its circumference?
   1. 21.98 m
   2. 43.96 m
   3. 153.86 m
   4. 7 m
3. A rectangle has a length of 8 cm and a width of 4 cm. A circle is cut out from the rectangle with a radius of 2 cm. What is the area of the remaining shape?
   1. 32 $cm^2$
   2. 12.56 $cm^2$
   3. 19.44 $cm^2$
   4. 44.56 $cm^2$
4. A square has sides of length 6 cm. What is its area?
   1. 12 $cm^2$
   2. 24 $cm^2$
   3. 36 $cm^2$
   4. 48 $cm^2$
5. What is the circumference of a circle with a radius of 3 cm?
   1. 9.42 cm
   2. 18.84 cm
   3. 28.26 cm
   4. 37.68 cm
6. A semi-circle has a radius of 4 cm. What is its area?
   1. 12.56 $cm^2$
   2. 25.12 $cm^2$
   3. 50.24 $cm^2$
   4. 100.48 $cm^2$
7. A rectangle has length 10 cm and width 5 cm. What is its area?
   1. 15 $cm^2$
   2. 25 $cm^2$
   3. 50 $cm^2$
   4. 100 $cm^2$