Scale Drawings: Grade 7 Math Test – PDF Download

Question 1: Map distance (2 points)

The scale of a map is \(1\text{ in}=12\text{ mi}\). Two towns are \(4.25\text{ in}\) apart on the map. Find the actual distance between them.

Question 2: Finding a scale (2 points)

A \(10\text{ ft}\) tall tree is drawn \(2.5\text{ in}\) tall in a scale drawing. Write the scale as \(1\text{ in}=\) ___ \(\text{ft}\).

Question 3: Bedroom blueprint (2 points)

The blueprint of a bedroom is a rectangle \(2.4\text{ in}\) by \(2\text{ in}\). The scale is \(1\text{ in}=5\text{ ft}\). Find the actual length and width of the bedroom.

Question 4: Garden area (2 points)

A garden plan is a rectangle \(3\text{ in}\) by \(2\text{ in}\) with the scale \(1\text{ in}=4\text{ ft}\). Find the actual area of the garden.

Question 5: Redraw the pool (2 points)

A pool is drawn \(5\text{ in}\) by \(2\text{ in}\) at the scale \(1\text{ in}=5\text{ ft}\). Find the pool’s dimensions in a new drawing at the scale \(1\text{ in}=2.5\text{ ft}\).

Question 6: Model truck (2 points)

A model truck is \(6\text{ in}\) long. The real truck is \(18\text{ ft}\) long. Write the scale as \(1\text{ in}=\) ___ \(\text{ft}\).

Question 7: Fractional map scale (3 points)

A map uses the scale \(\frac{1}{2}\text{ in}=5\text{ mi}\).

1. How many actual miles does \(1\text{ in}\) represent? (1 point)
2. Two cities are \(3\text{ in}\) apart on the map. Find the actual distance. (1 point)
3. Two other cities are \(85\text{ mi}\) apart. Find their distance on the map. (1 point)

Question 8: Area mistake (3 points)

A room is \(12\text{ in}^{2}\) on a scale drawing with \(1\text{ in}=5\text{ ft}\). Marcus says the actual area is \(12\times 5=60\text{ ft}^{2}\).

1. Find the actual area of the room. (1 point)
2. Explain Marcus’s mistake. (1 point)
3. By what number is the drawing area multiplied to get the actual area? (1 point)

Question 9: Fitting on a card (2 points)

Aisha wants to draw her \(20\text{ ft}\) by \(14\text{ ft}\) room using the scale \(1\text{ in}=8\text{ ft}\) on an index card that is \(3\text{ in}\) by \(2\text{ in}\). Find the drawing dimensions. Does the drawing fit on the card?

⬇ Download the Grade 7 Scale Drawings test (PDF, 87 KB)

See every chapter on the Grade 7 math page.