Grade 3 math quiz: Visually compare shape areas.

📚 Quick Study Guide

• 📐 Area: Area is the amount of space inside a 2D shape. Think of it as how much paint you'd need to cover the whole shape!
• 📏 Comparing Areas: To visually compare areas, look at the shapes and see which one covers more space. Sometimes you can even count squares!
• 🧩 Same Shape, Different Size: A bigger square has a larger area than a smaller square.
• ✂️ Cutting and Rearranging: You can sometimes cut a shape and rearrange the pieces to see if it fits inside another shape. If it does, the first shape's area is smaller or equal to the second shape's area.
• 🔢 Units: Area is usually measured in square units (like square inches or square centimeters).

🧪 Practice Quiz

1. Which shape has a larger area?
   1. A square with sides of 3 cm
   2. A rectangle with sides of 2 cm and 5 cm
   3. A circle with a radius of 2 cm
   4. A triangle with a base of 6 cm and a height of 2 cm
2. Look at the two shapes. Shape A has 5 squares, and Shape B has 7 squares. Which statement is true?
   1. Shape A has a larger area.
   2. Shape B has a larger area.
   3. Both shapes have the same area.
   4. We cannot compare the areas.
3. Which of these shapes has the smallest area?
   1. A square with sides of 2 inches
   2. A rectangle with sides of 1 inch and 4 inches
   3. A triangle with a base of 4 inches and a height of 1 inch
   4. A circle with radius 1 inch
4. If you cut a square into two equal triangles, what can you say about the area of each triangle compared to the area of the original square?
   1. Each triangle has the same area as the square.
   2. Each triangle has half the area of the square.
   3. Each triangle has double the area of the square.
   4. Each triangle has one-fourth the area of the square.
5. Which of the following has the largest area?
   1. A 3x4 rectangle
   2. A 5x2 rectangle
   3. A square with sides of length 3.5
   4. A circle with radius 2
6. Two identical rectangles are placed side by side to form a bigger rectangle. How does the area of the bigger rectangle compare to the area of one of the smaller rectangles?
   1. The bigger rectangle has the same area.
   2. The bigger rectangle has half the area.
   3. The bigger rectangle has double the area.
   4. The bigger rectangle has four times the area.
7. Which statement is always true when comparing the areas of two different shapes?
   1. The shape with more sides has a larger area.
   2. The shape with straight sides has a larger area.
   3. The shape that covers more space has a larger area.
   4. The shape with fewer sides has a larger area.