NC.7.G.1 Exam Prep

A map of an office building uses a scale of 1 inch = 20 feet. The rectangular drawing is 8 inches by 6 inches. The space is divided into a Conference Room, a Break Room, and a Reception Area. What is the perimeter of the actual Reception Area?

• 120 feet

• 160 feet

• 200 feet

• 240 feet

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NC.7.G.1

An engineer's drawing for a new office building uses a scale of ¹/₈ inch = ¹/₂ foot. If a conference room on the drawing is 3 inches by 4 ¹/₂ inches, what are the actual dimensions of the room?

• 6 ft by 9 ft

• 12 ft by 18 ft

• 24 ft by 36 ft

• 6 ft by 18 ft

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NC.7.G.1

A model of a swimming pool has a scale of 1/4 inch = 5 feet. The model is a rectangle measuring 1 1/2 inches by 2 1/2 inches. The cost to tile the pool's surface is $12 per square foot. What is the total cost?

• $3,600

• $18,000

• $7,200

• $14,400

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NC.7.G.1

A floor plan for the basement has a scale of ¹/₈ inch = 1 foot. If concrete costs $4 per square foot, what is the total cost to lay the concrete floor in the garage?

• $3,840

• $1,920

• $960

• $480

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NC.7.G.1

The scale on a drawing of a rocket is 1 inch = 15 feet. If the drawing shows the rocket as 3.2 inches tall, what is the actual height of the rocket in feet?

(a)  

• 48 feet
• 32 feet

• 15 feet

• 60 feet

A hiker knows that two campsites are 3.5 miles apart in the wilderness. The trail map has a scale of 1 inch = 0.5 miles. How many inches apart should the campsites appear on the map?

• 3.5 in.

• 5 in.

• 7 in.

• 10 in.

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NC.7.G.1

Two designers are creating floor plans for the same room. One uses a scale of ¹/₈ inch = 1 foot. The second uses a scale of ¹/₄ inch = 1 foot. The actual room is 20 feet long. What is the difference in the lengths of the room on the two floor plans in inches?

• 2.5 in.

• 5 in.

• 20 in.

• 25 in.

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NC.7.G.1

A recipe calls for a scale factor of 2 ¹/₂ to increase the ingredients. If the original recipe uses 1 ¹/₄ cups of flour and 1 ³/₄ cups of sugar, how many cups of each ingredient will be needed for the new recipe?

•  2 ¹/₂ cups of flour and 3 ¹/₂ cups of sugar

• 3 ¹/₈ cups of flour and 4 ³/₈ cups of sugar

• 3 ³/₄ cups of flour and 4 ¹/₄ cups of sugar

• 4 ¹/₈ cups of flour and 5 ¹/₈ cups of sugar

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NC.7.G.1

An architectural drawing of a patio has a scale of 1.0 cm = 1.75 m. The drawing shows a rectangular patio measuring 6.5 cm by 4.0 cm. What is the area of the patio in square meters when rounded to the nearest square meter?

Mathematical Equivalence

ON

A plan for a monument has a trapezoidal base. The scale is ¹/₂ cm = 2 m. What is the perimeter of the actual base?

• 36 m

• 48 m

• 69 m

• 96 m

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NC.7.G.1