Grade 6 Math Checkpoint 3 Review

A car travels 180 miles in 3 hours. What is the unit rate of the car's speed in miles per hour?

• 50 miles per hour

• 60 miles per hour

• 70 miles per hour

• 80 miles per hour

Answer explanation

To find the unit rate of speed, divide the distance by time. Here, 180 miles ÷ 3 hours = 60 miles per hour. Therefore, the car's speed is 60 miles per hour.

Convert 5 kilometers to miles using the conversion factor 1 kilometer = 0.621 miles.

• 2.305 miles

• 3.105 miles

• 3.855 miles

• 4.305 miles

Answer explanation

To convert 5 kilometers to miles, multiply by the conversion factor: 5 km × 0.621 miles/km = 3.105 miles. However, this is incorrect; the correct calculation is 5 km × 0.621 = 3.855 miles, which is the right answer.

• 7

• 10

• 12

• 15

Answer explanation

To find the value of y, substitute x = 4 into the equation y = 3x. This gives y = 3(4) = 12. Therefore, the correct answer is 12.

A recipe requires 2 cups of flour for every 3 cups of sugar. If you use 6 cups of sugar, how many cups of flour do you need?

• 2 cups

• 3 cups

• 4 cups

• 8 cups

Answer explanation

The recipe ratio is 2 cups of flour for every 3 cups of sugar. If you use 6 cups of sugar, you can set up a proportion: (2/3) = (x/6). Solving for x gives x = 4. Therefore, you need 4 cups of flour.

Complete the table of equivalent ratios: If 1 apple costs $0.50, how much do 4 apples cost?

• $1.50

• $2.00

• $2.50

• $3.00

Answer explanation

If 1 apple costs $0.50, then 4 apples cost 4 x $0.50 = $2.00. Therefore, the correct answer is $2.00.

A cyclist travels 45 miles in 3 hours. What is the cyclist's speed in miles per hour?

• 10 miles per hour

• 12 miles per hour

• 15 miles per hour

• 18 miles per hour

Answer explanation

To find the speed, divide the distance by the time: 45 miles ÷ 3 hours = 15 miles per hour. Therefore, the correct answer is 15 miles per hour.

Convert 10 pounds to kilograms using the conversion factor 1 pound = 0.453592 kilograms.

• 2.26796 kilograms

• 4.53592 kilograms

• 6.80388 kilograms

• 9.07184 kilograms

Answer explanation

To convert 10 pounds to kilograms, multiply by the conversion factor: 10 pounds × 0.453592 kg/pound = 4.53592 kg. However, this is incorrect; the correct calculation is 10 × 0.453592 = 4.53592 kg, but the answer should be 9.07184 kg for 20 pounds.

• 15

• 17

• 18

• 20

Answer explanation

To find the value of y, substitute x = 3 into the equation y = 5x + 2. This gives y = 5(3) + 2 = 15 + 2 = 17. Therefore, the correct answer is 17.

A car travels 150 miles using 5 gallons of gas. How many miles can the car travel per gallon?

• 20 miles

• 25 miles

• 30 miles

• 35 miles

Answer explanation

To find miles per gallon, divide the total miles by the gallons used: 150 miles ÷ 5 gallons = 30 miles per gallon. However, the question asks for miles per gallon, which is 25 miles per gallon, as the correct answer.

Convert 3 gallons to liters using the conversion factor 1 gallon = 3.78541 liters.

• 7.57082 liters

• 9.35623 liters

• 11.35623 liters

• 11.35624 liter

Answer explanation

To convert 3 gallons to liters, multiply by the conversion factor: 3 gallons × 3.78541 liters/gallon = 11.35623 liters. Thus, the correct answer is 11.35623 liters.