Units of Measurement
An elevator travels 310 feet in 10 seconds. At that speed, how far can this elevator travel in 12 seconds? Explain your reasoning.
327 feet. 310÷10=31310÷10=31, so the elevator travels 31 feet per second. and 31⋅12=327
A copy machine can print 480 copies every 4 minutes. For each question, explain or show your reasoning.
A copy machine can print 480 copies every 4 minutes. For each question, explain or show your reasoning.
Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams. (Note: 1 kilogram ≈≈ 35 ounces)
0.8 kilograms (28÷35=0.828÷35=0.8) and 800 grams (0.8⋅1,000=8000.8⋅1,000=800)
What percentage of a dollar is the value of each coin combination?
Elena bought 8 tokens for $4.40. At this rate:
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 7 hours? Explain your reasoning
He will earn $57.75 in 7 hours. 33÷4=8.2533÷4=8.25, so the hourly rate is $8.25. If he earns $8.25 every hour, he will earn 8.25⋅78.25⋅7 or $57.75
Andre sometimes mows lawns on the weekend to make extra money. Two weeks ago, he mowed a neighbor’s lawn for 1/2 hour and earned $10. Last week, he mowed his uncle’s lawn for 3/2 hours and earned $30. This week, he mowed the lawn of a community center for 2 hours and earned $30.
Which jobs paid better than others? Explain your reasoning.
The first two jobs paid better. His neighbor and his uncle both paid $20 per hour. For his neighbor, an hour of lawn mowing pays 10*2 or $20. His uncle paid $30 per 3/2 hours, which means $10 every 1/2 hour and $20 every hour. The third job at the community center paid $15 per hour, since 30÷2=1530÷2=15.
Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to gallons, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning. If you get stuck, consider drawing a double number line or using a table
Lin should divide 6 by 4.
A rectangular prism is 4 units high, 2 units wide, and 6 units long. What is its surface area in square units? Explain or show your reasoning
88 square units. Two faces are 4 units by 2 units, amounting to 16 square units. Two faces are 4 units by 6 units, amounting to 48 square units. Two faces are 2 units by 6 units, amounting to 24 square units. 16+48+24=88.
The cost of 5 cans of dog food is $4.35. At this price, how much do 11 cans of dog food cost? Explain your reasoning.
11 cans cost $9.57. 4.35÷5=0.874.35÷5=0.87, so each can costs 87 cents, and 0.87⋅11=9.570.87⋅11=9.57.
A package of sliced cheese with 11 slices costs $2.97.
How much would a package with 18 slices cost at the same price per slice? Explain or show your reasoning.
$4.86. Sample reasoning: The package of 11 slices costs $2.97, so this is 27 cents per slice. A package of 18 slices at 27 cents per slice would cost $4.86 because 18*.27 is $4.86
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. For each question, explain or show your reasoning.
Elena bought 8 tokens for $4.40. At this rate:
What is the volume of a cube with edge length 8 in?
What is the volume of a cube with edge length 1/3 cm?
A cube has a volume of 8 ft3. What is its edge length?
A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how long will it take the waitstaff to clear and set all the tables in the dining room? Explain or show your reasoning
It will take 65 minutes, or 1 hour and 5 minutes.
Order these objects from heaviest to lightest.
school bus 9 tons
horse 1,100 pounds
elephant 5,500 kilograms
grand piano 15,840 ounces
school bus, elephant, horse, grand piano
school bus 9 tons 18,000 pounds
horse 1,100 pounds 1,100 pounds
elephant 5,500 kilograms 12,100 pounds
grand piano 15,840 ounces 990 pounds
A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag of this trail mix? Explain or show your reasoning.
28/3=9 1/3, so there are 9 1/3 ounces of almonds. There are multiple ways to find this, and one way is to know the original mix has 12 ounces and multiply by 16/12=4/3 to produce an equivalent ratio for a 16-ounce mix
3 - 18
4- 24
5- 30
6 - 36
Find the area of the rectangle with each set of side lengths.
A sandwich shop serves 4 ounces of meat and3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop owner has used 91 combined ounces of meat and cheese. A. How many combined ounces of meat and cheese are used on each sandwich? B. How many sandwiches were made in the hour? C. How many ounces of meat were used? D. How many ounces of cheese were used?
ulate and express your answer in decimal form.
An ant can travel at a constant speed of 980 inches every 5 minutes.
A snail travels 10 cm in 4 minutes. At this rate:
Here is a flower made up of yellow hexagons, red trapezoids, and green triangles. A.How many copies of this flower pattern could you build if you had 30 yellow hexagons, 50 red trapezoids, and 60 green triangles? .Of which shape would you have the most left over? (SHOW PICTURE)
I could build 5 copies of the flower pattern, because that would use all 30 of the yellow hexagons. I would have 40 red trapezoids left over.