Grade 8 Math Test Unit: Measurment

1. Is it true that 1 foot is 45 centimeters?

True

False

The statement "1 foot is 45 centimeters" is false. The correct conversion is that 1 foot is equal to approximately 30.48 centimeters.

Explanation

The statement "1 foot is 45 centimeters" is false. The correct conversion is that 1 foot is equal to approximately 30.48 centimeters.

2. 3.5 feet is how many centimeters? 1ft = 30cm

105

104

108

110

To convert feet to centimeters, we need to multiply the given value by the conversion factor of 30 cm/ft. Therefore, 3.5 feet is equal to 3.5 * 30 = 105 centimeters.

Explanation

To convert feet to centimeters, we need to multiply the given value by the conversion factor of 30 cm/ft. Therefore, 3.5 feet is equal to 3.5 * 30 = 105 centimeters.

3. Which unit of measurment could be used to measure a pencil?

Feet

Meters

Millimeters

Inches

Inches could be used to measure a pencil because it is a small unit of measurement that is commonly used for smaller objects. Pencils are typically measured in inches because they are relatively small in size.

Explanation

Inches could be used to measure a pencil because it is a small unit of measurement that is commonly used for smaller objects. Pencils are typically measured in inches because they are relatively small in size.

4. 5 inches is how many centimeters? 1in = 2.54cm

12.6

12.5

13

12.7

The correct answer is 12.7 because 5 inches is equal to 5 multiplied by 2.54 centimeters, which equals 12.7 centimeters.

Explanation

The correct answer is 12.7 because 5 inches is equal to 5 multiplied by 2.54 centimeters, which equals 12.7 centimeters.

5. Transfer 27ft 2 5/16 to centimeters.

To convert 27ft 2 5/16 to centimeters, we need to first convert feet to inches and then inches to centimeters. There are 12 inches in a foot, so 27ft is equal to 27 * 12 = 324 inches. Next, we add the 2 5/16 inches to get a total of 326 5/16 inches. Finally, we convert inches to centimeters by multiplying by 2.54 (since 1 inch is equal to 2.54 centimeters). Therefore, 326 5/16 inches is equal to 326.3125 inches. Multiplying this by 2.54 gives us 826.915625 centimeters, which rounds to 816 centimeters.

Explanation

To convert 27ft 2 5/16 to centimeters, we need to first convert feet to inches and then inches to centimeters. There are 12 inches in a foot, so 27ft is equal to 27 * 12 = 324 inches. Next, we add the 2 5/16 inches to get a total of 326 5/16 inches. Finally, we convert inches to centimeters by multiplying by 2.54 (since 1 inch is equal to 2.54 centimeters). Therefore, 326 5/16 inches is equal to 326.3125 inches. Multiplying this by 2.54 gives us 826.915625 centimeters, which rounds to 816 centimeters.

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6. The distance bettween Kayla's house and Betty's house is 3 1/2 miles. It takes Kayla 50 minutes to get to Betty's house. What is the speed in km/h?

To find the speed in km/h, we need to convert the distance from miles to kilometers and the time from minutes to hours. Since 1 mile is approximately equal to 1.60934 kilometers, we can multiply 3.5 miles by 1.60934 to get the distance in kilometers. Next, we divide the time of 50 minutes by 60 to convert it to hours. Finally, we divide the distance in kilometers by the time in hours to get the speed in km/h. The result is 6.72 km/h.

Explanation

To find the speed in km/h, we need to convert the distance from miles to kilometers and the time from minutes to hours. Since 1 mile is approximately equal to 1.60934 kilometers, we can multiply 3.5 miles by 1.60934 to get the distance in kilometers. Next, we divide the time of 50 minutes by 60 to convert it to hours. Finally, we divide the distance in kilometers by the time in hours to get the speed in km/h. The result is 6.72 km/h.

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