Measurement Conversions Proportion

Luciana draws a map of her neighborhood. She uses a scale to show 1 inch equals 5 miles. What distance on Luciana's map should represent the 3 miles between her house and the park?

• 5 inches

• 3 inches

• 10.5 inches

• 0.6 inches

There is a proportional relationship between the number of liters and the number of milliliters for liquid measurements. What constant of proportionality relates milliliters to liters?

• 0.001

• 0.01

• 10

• 1000

Answer explanation

There are 1,000 milliliters in 1 liter.

This means:

Number of Milliliters X Number of Liters

The constant of proportionality that relates milliliters to liters is 1,000.

Approximately how many yards are equivalent to 12 kilometers?

1 kilometer is approximately equal to 1,093.61 yards.

• 10,936 yards

• 12,000 yards

• 13,123 yards

• 14,000 yards

Answer explanation

To convert 12 kilometers to yards, you can use the given conversion factor:

1 kilometer = 1,093.61 yards

So, for 12 kilometers:

12 kilometers X 1,093.61 = 13,123.32 yards}

Tags

CCSS.5.MD.A.1

John is 162 centimeters tall. How tall is John in inches?

Round to the nearest tenth inch.

1 centimeter is approximately equal to 0.3937 inches.

• 64.2 inches

• 64.0 inches

• 63.8 inches

• 63.5 inches

Answer explanation

To convert John's height from centimeters to inches, you can use the given conversion factor:

1 centimeter = 0.3937 inches}

For 162 centimeters:

162 centimeters X 0.3937 inches = 63.7794 inches

Rounding to the nearest tenth:

63.7794 is approximately 63.8

John is approximately 63.8 inches tall.

Tags

CCSS.5.MD.A.1

A mixture requires 4 parts water to 1 part concentrate. If you have 20 parts of concentrate, how many parts of water do you need?

• 40 parts

• 80 parts

• 100 parts

• 120 parts

Approximately how many kilometers are equivalent to 12 miles?

• 14 km

• 19 km

• 7 km

• 45 km

Approximately how many meters are equivalent to 15 ft?

• 8 m

• 7 m

• 5 m 

• 4 m

Approximately how many inches are equivalent to 15 cm?

• 6 in

• 3 in

• 9 in 

• 38 in

How many centimeters?

• 52.8

• 67.8

• 61.6

• 62.4

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When guests come, she makes 96 fluid ounces of coffee. How many grams of coffee beans does Diana use when she has visitors?

Mathematical Equivalence

ON