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Questions and Answers
What percent did the population of Bristol, PA, decrease over the past thirty years?
What percent did the population of Bristol, PA, decrease over the past thirty years?
If a 60% discount applies, what is the equation to calculate the price after discount, $d, given the original price, $p?
If a 60% discount applies, what is the equation to calculate the price after discount, $d, given the original price, $p?
What will be the expected cost of the new Des-car next year if its current cost is $17,000 and the cost is expected to increase by 2.9%?
What will be the expected cost of the new Des-car next year if its current cost is $17,000 and the cost is expected to increase by 2.9%?
If Dalia has used 75% of a can of paint after painting 20% of her room, how many cans of paint will be required to paint the entire room?
If Dalia has used 75% of a can of paint after painting 20% of her room, how many cans of paint will be required to paint the entire room?
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If the new Des-truck costs $22,000 now and is expected to increase by 2.9% each year, what will be its cost in two years?
If the new Des-truck costs $22,000 now and is expected to increase by 2.9% each year, what will be its cost in two years?
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Which statements about the cost of strawberries are true?
Which statements about the cost of strawberries are true?
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Which of the following statements is true about the polygons 𝐸𝐹𝐺𝐻 and 𝐴𝐵𝐶𝐷?
Which of the following statements is true about the polygons 𝐸𝐹𝐺𝐻 and 𝐴𝐵𝐶𝐷?
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What equation represents the time it took Abdullah to walk a distance of $d$ miles?
What equation represents the time it took Abdullah to walk a distance of $d$ miles?
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Which runner, E or F, ran more slowly?
Which runner, E or F, ran more slowly?
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What is the area of the rectangular park if it is 8 inches wide and 11 inches long on a scale where the actual length is 330 yards?
What is the area of the rectangular park if it is 8 inches wide and 11 inches long on a scale where the actual length is 330 yards?
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Does the equation $p = 2.22x$ show a proportional relationship between mass in pounds $p$ and mass in kilograms $x$?
Does the equation $p = 2.22x$ show a proportional relationship between mass in pounds $p$ and mass in kilograms $x$?
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How does the size of the new map with a scale of 1 cm to 100 m compare to the old map with a scale of 1 cm to 400 m?
How does the size of the new map with a scale of 1 cm to 100 m compare to the old map with a scale of 1 cm to 400 m?
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If the school and the playground are 8 centimeters apart on the map, what is the actual distance between them if the map scale is 1 cm to 3 km?
If the school and the playground are 8 centimeters apart on the map, what is the actual distance between them if the map scale is 1 cm to 3 km?
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Which of the following statements accurately describes the relationship in the recipe for tortillas?
Which of the following statements accurately describes the relationship in the recipe for tortillas?
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Which graph represents a proportional relationship?
Which graph represents a proportional relationship?
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Based on the table provided, is the relationship between height and running speed proportional?
Based on the table provided, is the relationship between height and running speed proportional?
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How many blueberries correspond to a weight of 0.60 kg to maintain proportionality in the provided table?
How many blueberries correspond to a weight of 0.60 kg to maintain proportionality in the provided table?
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What would be the actual size of a trail that measures 20 cm long on the old map with a scale of 1 cm to 400 m?
What would be the actual size of a trail that measures 20 cm long on the old map with a scale of 1 cm to 400 m?
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If Runner E ran 4 miles in 30 minutes and Runner F ran 5 miles in 40 minutes, which runner has a higher speed?
If Runner E ran 4 miles in 30 minutes and Runner F ran 5 miles in 40 minutes, which runner has a higher speed?
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What is the distance between the school and hospital on the map if they are 15 kilometers apart in reality and the map has a scale of 1 cm to 5 km?
What is the distance between the school and hospital on the map if they are 15 kilometers apart in reality and the map has a scale of 1 cm to 5 km?
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Which statement is correct about polygon scaling?
Which statement is correct about polygon scaling?
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What is the area of Pool A with a radius of 6 feet, and how many boxes of tile does Brielle need to buy if each box covers 25 square feet?
What is the area of Pool A with a radius of 6 feet, and how many boxes of tile does Brielle need to buy if each box covers 25 square feet?
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How much concrete will Philip need for the sidewalk around a fish pond with a diameter of 6.3 meters?
How much concrete will Philip need for the sidewalk around a fish pond with a diameter of 6.3 meters?
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Kayleen mows 1/8 of the field using 1/2 gallon of gas. What is the correct total amount of gas needed for the entire field?
Kayleen mows 1/8 of the field using 1/2 gallon of gas. What is the correct total amount of gas needed for the entire field?
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What was the temperature reading from the thermometer when it indicates 20.0ºC, but later measures it as 20.8ºC?
What was the temperature reading from the thermometer when it indicates 20.0ºC, but later measures it as 20.8ºC?
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How long is a marker that is 9% longer than a pencil that measures 120 millimeters?
How long is a marker that is 9% longer than a pencil that measures 120 millimeters?
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Is Brielle correct that Pool B requires four times as much tile as Pool A, given that Pool B has a radius of 12 feet?
Is Brielle correct that Pool B requires four times as much tile as Pool A, given that Pool B has a radius of 12 feet?
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What is the perimeter of a circular pond with a diameter of 6.3 meters?
What is the perimeter of a circular pond with a diameter of 6.3 meters?
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How much will Na’ilah pay for a rug costing $50 after applying a 10% sales tax and then a 10% off coupon?
How much will Na’ilah pay for a rug costing $50 after applying a 10% sales tax and then a 10% off coupon?
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What is the closest approximation of the circumference of a circle with a radius of 40 centimeters?
What is the closest approximation of the circumference of a circle with a radius of 40 centimeters?
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What is the least accurate area calculation for a circle with a radius of 6 units among these options?
What is the least accurate area calculation for a circle with a radius of 6 units among these options?
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Which of the following statements about a wheel's diameter and circumference is true?
Which of the following statements about a wheel's diameter and circumference is true?
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Which measurement describes the area of a circular object?
Which measurement describes the area of a circular object?
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Which of the following is always proportional to the diameter of a circle?
Which of the following is always proportional to the diameter of a circle?
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What is the approximate area of a circle with a radius of 6 units?
What is the approximate area of a circle with a radius of 6 units?
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Based on Arjun's measurements, what can be concluded about the relationship in distance traveled per number of wheel rotations?
Based on Arjun's measurements, what can be concluded about the relationship in distance traveled per number of wheel rotations?
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Which of these circles has a greater area?
Which of these circles has a greater area?
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Study Notes
Unit 1 Review Problems
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Problem 1: Scaled copies of a rectangle are identified. Rectangle A (8m x 4m) and (4m * 16m) are correct copies.
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Problem 2: Polygon EFGH is a scaled copy of polygon ABCD. These statements are correct:
- Segment GH is three times as long as segment AB.
- The scale factor from EFGH to ABCD is 3/1
- The area of EFGH is three times the area of ABCD.
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Problem 3: A scale drawing of a park is 8 inches wide and 11 inches long. The actual park is 330 yards long. Calculate the park's area.
- The correct answer is 79,200 square yards.
Unit 1 Problems: Additional Information
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Problem 4: A graphic is presented requiring students to draw a scaled copy of a polygon using a scale factor of 1/4.
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Problem 5.1: If a school and a hospital are 15 kilometers apart, the distance on a map using a scale of 2 centimeters to 5 kilometers is 6 centimeters.
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Problem 5.2: On a map drawn with a scale of 2cm to 5 km, if school and the playground are 8 centimeters apart, the actual distance is 20 kilometers.
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Problem 6.1: If two maps represent the same area, with scales 1 cm: 400 m and 1 cm: 100 m, The new map is smaller than the old map.
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Problem 6.2: A trail 20 cm long on an old map with a scale of 1 cm to 400m is equivalent to 8,000 meters on the ground.
Unit 2 Review Problems
- Problem 1: The graph that represents a proportional relationship is the one that forms a straight line through the origin (0,0). This is answer A.
Unit 3 Review Problems
- Problem 1: A circle with a radius of 40 centimeters has a circumference closest to 251 centimeters
Unit 4 Review Problems
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Problem 1: A pencil is 120 millimeters long. A marker is 9% longer than the pencil.
- The marker is 130.8 millimeters long
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Problem 2: Kayleen mows 1/8 of a field and uses 1/2 gallon of gas. These statements are correct:
- Mowing the entire field requires 4 gallons of gas
- Each gallon of gas will mow 1/4 of the field
- Mowing 1/2 of the field requires 2 gallons of gas
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Problem 3: The temperature in a room is 20.0°C. A thermometer measures it as 20.8°C.
- The percent error is 4%.
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Problem 4: Na'ilah purchases a rug that costs $50. A 10% sales tax is applied. After the tax, Na'ilah uses a 10% off coupon to pay less than $50.
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Problem 5: The population of Bristol, PA, is about 53,110 people. Thirty years ago, the population was about 56,500 people.
- The population decreased by approximately 6%.
Intermediate Problems
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Intermediate Problem (Page 16): Helen is painting her room. After painting 20% of her room, Dalia has used 75% of a can of paint. - 3 cans of paint will cover 80% of Dalia's room and
- Painting 50% of Dalia's room requires 3 cans of paint.
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Intermediate Problem (Page 13): If the diameter of a circular fish pond is 6.3 meters, and a 0.8-meter wide concrete sidewalk circles the pond:
- The distance around the outside edge of the concrete sidewalk is 7.9 meters.
- The area of concrete needed for the sidewalk is 2.02 square meters approx.
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Description
This quiz focuses on the concepts of scaled copies and scale factors in geometry, including calculating areas related to scale drawings. Students will solve problems involving rectangles, polygons, and real-world applications of scaling. Test your understanding of these fundamental geometric principles!
