Scale Drawing
Standard 7.MGSR.2.2
A rectangular garden on a scale drawing measures 4 inches by 6 inches. If the scale is 1 inch = 5 feet, what is the actual area of the garden in square feet?
Answer: 600 square feet
Standard: 7.MGSR.1.1
Define chord.
Answer: A line segment connecting two points on the circle (but NOT passing through the center)
Standard: 7.PAFR.1.1
At a school bake sale, brownies are being sold at a ratio of 2 brownies for every 5 cookies. If there are 50 cookies at the sale, how many brownies are there?
Answer: 20 brownies
Standard: 7.PAFR.2.1
Solve the equation: 3x+5=20
Answer: x = 5
Standard: 7.DPSR.1.3 & 7.DPSR.1.2
A store tracks daily sales (in dollars) for 10 days: 250, 275, 280, 290, 300, 310, 315, 320, 325, 500
Calculate the median.
Answer: Median = $305
Standard 7.MGSR.2.2
A blueprint shows a room that is 3 cm long. If the scale factor is 1:40, what is the actual length of the room in meters?
Answer: 1.2 meters
Standard: 7.MGSR.1.2
A circle has a radius of 7 cm. What is the diameter of the circle?
Answer: 14 cm
Standard: 7.PAFR.1.1
A video game is on sale for 25% off the original price. If the original price is $60, what is the sale price?
Answer: $45
Standard: 7.PAFR.2.1
Marcus is buying concert tickets for himself and his friends. Each ticket costs $25, and he also pays a $5 service fee. If Marcus spends a total of $105, how many tickets did he buy?
Answer: Marcus bought 4 tickets
Standard: 7.DPSR.1.3
A basketball player's points scored in her last 6 games were: 12, 15, 18, 20, 22, 25
Calculate the Mean
Answer: 18.67 points
Standard 7.PAFR.2.4
Convert 2.5 kilometers to miles. (Use: 1 mile ≈ 1.6 kilometers)
Answer: Approximately 1.56 miles
Standard: 7.MGSR.1.3
A circular pizza has a radius of 6 inches. What is the area of the pizza? (Use π≈3.14)
Answer: 113.04 square inches
Standard: 7.PAFR.2.3
A baker uses 3/4 cup of flour to make 1/2 batch of cookies. What is the unit rate of cups of flour per batch?
Answer: 1.5 cups of flour per batch (or 3/2 cups per batch)
Standard: 7.PAFR.2.2
A gym membership costs $50 per month plus a one-time registration fee of $30. Write an expression for the total cost after m months. Then evaluate the expression for m = 6 months.
Answer: Expression is 50m+30; After 6 months, the total cost is $330
Standard: 7.DPSR.1.3 & 7.DPSR.1.2
A store tracks daily sales (in dollars) for 10 days: 250, 275, 280, 290, 300, 310, 315, 320, 325, 500
Calculate the range.
Answer: Range = $250
Standard 7.PAFR.2.4
A recipe calls for 250 milliliters of milk. How many fluid ounces is this? (Use: 1 fluid ounce ≈ 29.6 milliliters)
Answer: Approximately 8.45 fluid ounces
Standard: 7.MGSR.1.3
A circular track has a diameter of 100 meters. If a runner completes 3 laps around the track, how far did the runner travel in total? (Use π≈3.14)
Answer: 942 meters
Standard: 7.PAFR.2.3
A car travels 150 miles in 3 hours. What is the unit rate in miles per hour?
Answer: 50 miles per hour
Standard: 7.PAFR.3.2
Which of the following expressions is equivalent to 2(3x+4)?
A) 6x+4 B) 6x+8 C) 5x+6 D) 3x+8
Answer: B) 6x+8
Standard: 7.DPSR.1.3
A basketball player's points scored in her last 6 games were: 12, 15, 18, 20, 22, 25
Calculate the Median.
Answer: 19 points
Standards 7.MGSR.2.2 & 7.PAFR.2.4
A scale model of a building is 18 inches tall. The scale is 1 inch = 8 feet. What is the height of the actual building in meters? (Use: 1 meter ≈ 3.28 feet)
Answer: Approximately 43.9 meters
Standard: 7.MGSR.1.3
A circular garden has a radius of 5 meters. The gardener wants to cover the entire garden with mulch. If mulch costs $8 per square meter, how much will it cost to cover the entire garden? (Use π≈3.14)
Answer: $628
Standard: 7.PAFR.2.4
A swimmer swims 2 kilometers. How many miles is this? (Use: 1 kilometer ≈ 0.62 miles)
Answer: 1.24 miles
Standard: 7.PAFR.3.4
Factor the expression completely: 12x+18
Answer: 6(2x+3)
Standard: 7.DPSR.1.1
The following data represents the test scores of 12 students: 62, 68, 71, 74, 75, 78, 81, 82, 85, 88, 91, 94
Create a stem-and-leaf plot to represent this data.
Answer:
Stem Leaf
6 2, 8
7 1, 4, 5, 8
8 1, 2, 5, 8
9 1, 4