Testinar Grade 3 math

Covering Shapes with Unit Squares

Students will cover shapes with unit squares without gaps or overlaps to measure area.

CH06-03 Geometry and Measurement

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Score: ____ / 8

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

Look at this rectangle covered exactly by unit squares: Count the unit squares. What is the area?
1. \(7\) sq units
2. \(12\) sq units
3. \(14\) sq units
4. \(24\) sq units
Here is a rectangle with \(5\) unit squares across and \(4\) unit squares down: If you count all the unit squares, how many are there?
1. \(9\) unit squares
2. \(18\) unit squares
3. \(20\) unit squares
4. \(20\) square cm
Here is a shape made of unit squares arranged in a grid. The shape has \(8\) unit squares. What is the area?
1. \(4\) sq units
2. \(8\) sq units
3. \(12\) sq units
4. \(16\) sq units
Ben's garden is a rectangle. Looking at this grid, each square is one unit square tile: How many unit square tiles does Ben need to cover his garden?
1. \(9\) tiles
2. \(18\) tiles
3. \(12\) tiles
4. \(17\) tiles
Maya is laying square tiles on her kitchen floor. The floor is shaped like a large square with \(6\) tiles along one edge. Here is the layout: How many square tiles cover the entire floor?
1. \(12\) tiles
2. \(24\) tiles
3. \(36\) tiles
4. \(48\) tiles
Look at this rectangle made of unit squares: How many unit squares are there?
1. \(8\) unit squares
2. \(12\) unit squares
3. \(15\) unit squares
4. \(20\) unit squares
Mia covers a \(2\) by \(8\) rectangle with unit square tiles. Here is the grid: Count the unit squares. How many are there?
1. \(10\) unit squares (the perimeter)
2. \(16\) unit squares
3. \(8\) unit squares
4. \(20\) unit squares
A rectangle is made of \(4\) rows of unit squares. The total area is \(24\) square units. Look at the grid: How many unit squares are in each row?
1. \(4\) unit squares per row
2. \(8\) unit squares per row
3. \(6\) unit squares per row
4. \(12\) unit squares per row

Teacher and parent reference

Answer key and explanations

B. \(12\) sq units
Count the rows: \(3\) rows. Count across: \(4\) unit squares per row. Total: \(3 \times 4 = 12\) unit squares cover the rectangle, so area is \(12\) square units.
C. \(20\) unit squares
Count the rows: \(4\) rows with \(5\) unit squares in each row. Total: \(5 + 5 + 5 + 5 = 20\) unit squares. Area is \(20\) square units.
B. \(8\) sq units
Counting the \(8\) unit squares in the grid gives an area of \(8\) square units.
B. \(18\) tiles
Count the rows: \(3\) rows. Count across each row: \(6\) tiles. Total: \(6 + 6 + 6 = 18\) unit square tiles are needed.
C. \(36\) tiles
Count the rows: \(6\) rows. Count down: \(6\) tiles in each row. Total: \(6 + 6 + 6 + 6 + 6 + 6 = 36\) square tiles.
C. \(15\) unit squares
Counting rows and columns: \(5\) units wide and \(3\) units tall gives \(5 \times 3 = 15\) unit squares.
B. \(16\) unit squares
Count the rows: \(2\) rows. Count across: \(8\) unit squares per row. Total: \(8 + 8 = 16\) unit squares cover the rectangle.
C. \(6\) unit squares per row
Count one row of unit squares: \(6\) squares. Check: \(4\) rows \(\times\) \(6\) per row \(= 24\) total. So there are \(6\) unit squares in each row.