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mathematics
contemporary mathematics

Questions and Answers of Contemporary Mathematics

The average tomato weighs 140 grams. A farmer needs to order boxes to pack and ship their tomatoes to local grocery stores. They estimate that this year's harvest will yield 125,000 tomatoes. A box
A recipe calls for the oven to be set to \(392^{\circ} \mathrm{F}\). What is the temperature in Celsius?
On a sunny afternoon in May, the temperature in London was \(20^{\circ} \mathrm{C}\). What was the temperature in degrees Fahrenheit?
A manufacturer requires a vaccine to be stored in a refrigerator at temperatures between \(36^{\circ} \mathrm{F}\) and \(46^{\circ} \mathrm{F}\). The refrigerator in the local pharmacy cools to
Which is the more reasonable value for the temperature of a freezer?- \(5^{\circ} \mathrm{C}\) or\(-5^{\circ} \mathrm{C}\) ?
The average body temperature is generally accepted as \(98.6^{\circ} \mathrm{F}\). What is a reasonable value for the average body temperature in degrees Celsius:- \(98.6^{\circ} \mathrm{C}\),-
Which is a reasonable temperature for storing chocolate:- \(28^{\circ} \mathrm{C}\),- \(18^{\circ} \mathrm{C}\), or\(-2^{\circ} \mathrm{C}\) ?
The temperature in the refrigerator is \(4{ }^{\circ} \mathrm{C}\). The temperature in the freezer is \(21^{\circ} \mathrm{C}\) lower. What is the temperature in the freezer?
A scientist was using a liquid that was \(35^{\circ} \mathrm{C}\). They needed to heat the liquid to raise the temperature by \(6^{\circ} \mathrm{C}\). What was the temperature after the scientist
The optimum temperature for a chemical compound to develop its unique properties is \(392^{\circ} \mathrm{F}\). When the heating process begins, the temperature of the compound is \(20^{\circ}
Determine the correct base measurement for each of the following.1. weight of a laptop 2. width of a table 3. amount of soda in a pitcher
Order the measures from largest unit to smallest unit. hectogram, decagram, kilogram
What is a reasonable estimate for the length of a hallway: 2.5 kilometers, 2.5 meters, or 2.5 centimeters?
The record for the men's high jump is \(2.45 \mathrm{~m}\). What is the record when expressed in centimeters?
A bottle of cleaning solution measures 7.6 liters. How many decaliters is that?
Convert Aiyana's measurement of \(1,457 \mathrm{mg}\) to centigrams.
A hospital orders 250 doses of liquid amoxicillin. Each dose is \(5 \mathrm{~mL}\). How many liters of amoxicillin did the hospital order?
The FDA recommends that you consume less than \(0.5 \mathrm{~g}\) of caffeine daily. A cup of coffee contains \(95 \mathrm{mg}\) of caffeine and a can of soda contains \(54 \mathrm{mg}\). If you
Kyrie boasted he jumped out of an airplane at an altitude of 3,810 meters on his latest skydive trip. His friend said they beat Kyrie because their jump was at an altitude of \(3.2 \mathrm{~km}\).
Which unit of measure is most reasonable to describe the area of a forest: km2, cm2, or mm2?
Which represents a reasonable value for the area of the top of a kitchen table: 1,800 mm2, 1,800 cm2, or 1,800 m2?
A crafter uses four letter-size sheets of paper to create a paper mosaic in the shape of a square. They decide they want to frame the paper mosaic, so they measure and determine that the area of the
A roll of butcher paper has an area of \(1,532,900 \mathrm{~cm}^{2}\). What is the area of the butcher paper in square meters?
A bolt of fabric has an area of \(136.5 \mathrm{~m}^{2}\). What is the area of the bolt of fabric in square centimeters?
A piece of fabric measures \(100 \mathrm{~cm}\) by \(106 \mathrm{~cm}\). What is the area of the fabric in square meters?
You want to cover a garden with topsoil. The garden is 5 meters by 8 meters. There is a path in the middle of the garden that is 8 meters long and 0.75 meters wide. What is the area of the garden you
An Olympic pool measures 50 meters by 2,500 centimeters. What is the surface area of the pool in square meters?
Your bedroom floor has an area of \(25 \mathrm{~m}^{2}\). The living room floor measures \(600 \mathrm{~cm}\) by \(750 \mathrm{~cm}\). How many square meters of carpet do you need to buy to carpet
Which represents a reasonable value for the volume of a storage area: \(8 \mathrm{~m}^{3}, 8 \mathrm{~cm}^{3}\), or \(8 \mathrm{~mm}^{3}\) ?
Which represents a reasonable value for the volume of a fish tank: \(40,000 \mathrm{~mm}^{3}, 40,000 \mathrm{~cm}^{3}\), or \(40,000 \mathrm{~m}^{3}\) ?
An artist creates a glass paperweight. They decide they want to box and ship the paperweight, so they measure and determine that the volume of the cubic box is \(125,000 \mathrm{~mm}^{3}\). Does
A jewelry box has a volume of \(8 \mathrm{~cm}^{3}\). What is the volume of the jewelry box in cubic millimeters?
A gasoline storage tank has a volume of \(37.854 \mathrm{~m}^{3}\). What is the volume of the storage tank in cubic centimeters?
A warehouse has a volume of \(465,000,000 \mathrm{~cm}^{3}\). What is the volume of the warehouse in cubic meters?
A gas can has a volume of \(19,000 \mathrm{~cm}^{3}\). How much gas, in liters, does the gas can hold?
A gasoline storage tank has a volume of \(37.854 \mathrm{~m}^{3}\). What is the volume of the storage tank in liters?
A glass jar has a volume of \(800,000 \mathrm{~mm}^{3}\). How many \(\mathrm{mL}\) of liquid can the glass jar hold?
A factory can mill 300 cubic meters of flour each day. They package the flour in boxes that measure \(20 \mathrm{~cm} \times 5 \mathrm{~cm} \times 30 \mathrm{~cm}\). How many boxes of flour does the
An ice cream maker boxes frozen yogurt mix in boxes that measure \(25 \mathrm{~cm}\) long, \(8 \mathrm{~cm}\) wide and \(35 \mathrm{~cm}\) tall. They produce 42,000 liters of frozen yogurt mix each
A fish tank measures \(75 \mathrm{~cm}\) long, \(20 \mathrm{~cm}\) wide and \(25 \mathrm{~cm}\) tall. The tank is 50 percent full. How many liters of water are needed to completely fill the tank? 75
Which represents a reasonable value for the weight of a penny:\(2.5 \mathrm{~g}\) or \(2.5 \mathrm{~kg}\)
Which represents a reasonable value for the weight of a car:\(1,300 \mathrm{~g}, 130 \mathrm{~kg}\), or \(1,300 \mathrm{~kg}\) ?
The Etruscan shrew is one of the world's smallest mammals. It has a huge appetite, eating almost twice its weight in food each day. Its heart beats at a rate of 25 beats per second! Which of the
How many kilograms are in 175,000 milligrams?
The world's heaviest tomato weighed \(4.869 \mathrm{~kg}\) when measured on July 15, 2020. How much did the tomato weigh in grams?
How many milligrams are there in 1.23 kilograms?
The dosage recommendations for a popular brand of acetaminophen are listed in table below. What is the recommended dosage for a child who weighs 17,683 grams? Weight Dosage 11 kg to 15 kg 5 mL 16 kg
A croissant recipe calls for \(500 \mathrm{~g}\) of flour. How many kilograms of flour are required to make 10 batches of croissants?
The average potato weighs 225 grams. A grocery chain orders 5,000 bags of potatoes. Each bag weighs \(5 \mathrm{~kg}\). Approximately how many potatoes did they order?
What is \(482^{\circ} \mathrm{F}\) in Celsius?
What is \(75^{\circ} \mathrm{C}\) in Fahrenheit?
In July, the average temperature in Madrid is \(16.7^{\circ} \mathrm{C}\). The average temperature in Toronto in July is \(57.4^{\circ} \mathrm{F}\). Which city has the higher temperature, and by how
To make candy apples, you must boil the sugar mixture for about 20 minutes. Which is the more reasonable value for the temperature of the mixture when boiling:- \(48^{\circ} \mathrm{C}\) or-
Which represents a reasonable value for temperature of a hot summer day:- \(102^{\circ} \mathrm{C}\),- \(37^{\circ} \mathrm{C}\), or- \(20^{\circ} \mathrm{C}\) ?
Which represents a reasonable temperature for cooking chili:- \(240^{\circ} \mathrm{C}\),- \(60^{\circ} \mathrm{C}\), or\(6^{\circ} \mathrm{C}\) ?
At \(6 \mathrm{PM}\), the temperature was \(4^{\circ} \mathrm{C}\). By \(6 \mathrm{AM}\) the temperature had fallen by \(6^{\circ} \mathrm{C}\). What was the temperature at 6 AM?
A hot dog was cooked in a microwave oven. The hot \(\operatorname{dog}\) was \(4^{\circ} \mathrm{C}\) when it was put in the microwave and the temperature increased by \(59^{\circ} \mathrm{C}\) when
After reaching a temperature of \(302^{\circ} \mathrm{F}\) a chemical compound cools at the rate of \(5{ }^{\circ} \mathrm{C}\) every 6 minutes. How long will it take until the compound has reached a
Fish tank:\(71,120 \mathrm{~km}^{3}, 71,120 \mathrm{~m}^{3}, 71,120 \mathrm{~cm}^{3}\), or \(71,120 \mathrm{~mm}^{3}\)Determine the most reasonable value for each volume.
Juice box:\(125,000 \mathrm{~L}, 125 \mathrm{~L}, 125,000 \mathrm{~mL}\), or \(125 \mathrm{~mL}\)Determine the most reasonable value for each volume.
Box of cereal:\(2,700 \mathrm{~km}^{3}, 2,700 \mathrm{~m}^{3}, 2,700 \mathrm{~cm}^{3}\), or \(2,700 \mathrm{~mm}^{3}\)Determine the most reasonable value for each volume.
Water bottle:\(5 \mathrm{~L}, 0.5 \mathrm{~L}, 5 \mathrm{~mL}\), or \(0.5 \mathrm{~mL}\)Determine the most reasonable value for each volume.
Shoe box:\(3,600 \mathrm{~km}^{3}, 3.6 \mathrm{~m}^{3}, 3,600 \mathrm{~cm}^{3}\), or \(3,600 \mathrm{~mm}^{3}\)Determine the most reasonable value for each volume.
Swimming pool:\(45 \mathrm{~L}, 45,000 \mathrm{~L}, 45 \mathrm{~mL}\), or \(45,000 \mathrm{~mL}\)Determine the most reasonable value for each volume.
\(38,861 \mathrm{~mm}^{3}=\) \( \qquad \) \(\mathrm{cm}^{3}\)Convert the given volume to the units shown.
\(13 \mathrm{dm}^{3}=\) \( \qquad \) \(\mathrm{mL}\)Convert the given volume to the units shown.
\(874 \mathrm{~cm}^{3}=\) \( \qquad \) \(\mathrm{mm}^{3}\)Convert the given volume to the units shown.
\(4 \mathrm{~m}^{3}=\) \( \qquad \) \(\mathrm{cm}^{3}\)Convert the given volume to the units shown.
\(0.00003 \mathrm{~m}^{3}=\) \( \qquad \) \(\mathrm{mm}^{3}\)Convert the given volume to the units shown.
\(57,500 \mathrm{~mm}^{3}=\) \( \qquad \) \(\mathrm{L}\)Convert the given volume to the units shown.
\(0.007 \mathrm{~m}^{3}=\) \( \qquad \) L Convert the given volume to the units shown.
\(8,600 \mathrm{~cm}^{3}=\) \( \qquad \) \(\mathrm{m}^{3}\)Convert the given volume to the units shown.
\(45.65 \mathrm{~m}^{3}=\) \( \qquad \) \(\mathrm{cm}^{3}\)Convert the given volume to the units shown.
\(0.06 \mathrm{~m}^{3}=\) \( \qquad \) \(\mathrm{dm}^{3}\)Convert the given volume to the units shown.
\(0.081 \mathrm{~m}^{3}=\) \( \qquad \) \(\mathrm{mL}\)Convert the given volume to the units shown.
\(3,884,000 \mathrm{~mm}^{3}=\)Convert the given volume to the units shown.
\(30 \mathrm{~cm} \times 20 \mathrm{~m} \times 10 \mathrm{~cm}\)\(V=\) ___________ LDetermine the volume of objects with the dimensions shown.
\(17 \mathrm{~mm} \times 3 \mathrm{~cm} \times 2.5 \mathrm{~cm}\)\(V=\) __________ \(\mathrm{mL}\)Determine the volume of objects with the dimensions shown.
\(3.4 \mathrm{~m} \times 2.5 \mathrm{~m} \times 10 \mathrm{~m}\)\(V=\) ____________ \(\mathrm{m}^{3}\)Determine the volume of objects with the dimensions shown.
\(325 \mathrm{~mm} \times 20 \mathrm{~cm} \times 0.05 \mathrm{~m}\) \(V=\) ____________ \(\mathrm{cm}^{3}\)Determine the volume of objects with the dimensions shown.
\(3.7 \mathrm{~m} \times 4 \mathrm{~m} \times 5.5 \mathrm{~m}\)\(V=\) ____________ \(\mathrm{m}^{3}\)Determine the volume of objects with the dimensions shown.
\(18 \mathrm{dm} \times 0.8 \mathrm{~m} \times 150 \mathrm{~cm}\) \(V=\) _______________ \(L\) Determine the volume of objects with the dimensions shown.
\(15 \mathrm{~cm} \times 400 \mathrm{~mm} \times 3 \mathrm{dm}\)\(V=\) ________________ \(\mathrm{mL}\)Determine the volume of objects with the dimensions shown.
\(3.5 \mathrm{~cm} \times 200 \mathrm{~mm} \times 0.7 \mathrm{dm}\)\(V=\) _______________ \(\mathrm{cm}^{3}\)Determine the volume of objects with the dimensions shown.
\(35 \mathrm{~m} \times 1.2 \mathrm{~m} \times 0.007 \mathrm{~km}\) \(V=\) _________ m3.Determine the volume of objects with the dimensions shown.
A box has dimensions of \(20 \mathrm{~cm} \times 15 \mathrm{~cm} \times 30 \mathrm{~cm}\). The box currently holds \(1,250 \mathrm{~cm}^{3}\) of rice. How many cubic centimeters of rice are needed to
The dimensions of a medium storage unit are \(4 \mathrm{~m} \times 4 \mathrm{~m} \times 8 \mathrm{~m}\). What is the volume of a small storage area with dimensions half the size of the medium unit?
How much liquid, in liters, can a container with dimensions of \(40 \mathrm{~cm} \times 20 \mathrm{~cm} \times 120 \mathrm{~cm}\) hold?
What is the volume of the rectangular prism that is shown? 5 cm 10 cm 2 cm
A box is 15 centimeters long and 5 centimeters wide. The volume of the box is \(225 \mathrm{~cm}^{3}\). What is the height of the box?
Kareem mixed two cartons of orange juice, three 2 -liter bottles of soda water and six cans of cocktail fruits to make a fruit punch for a party. The cartons of orange juice and cans of cocktail
A holding tank has dimensions of \(16 \mathrm{~m} \times 8 \mathrm{~m} \times 8 \mathrm{~m}\). If the tank is half-full, how more liters of liquid can the tank hold?
A large plastic storage bin has dimensions of \(16 \mathrm{~cm} \times 16 \mathrm{~cm} \times 16 \mathrm{~cm}\). A medium bin's dimensions are half the size of the large bin. A small bin's dimensions
A soft serve ice cream machine holds a 19.2 liter bag of ice cream mix. If the average serving size of an ice cream cone is \(120 \mathrm{~mL}\), how many cones can be made from each bag of mix?
A shipping carton has dimensions of \(0.5 \mathrm{~m} \times 0.5 \mathrm{~m} \times 0.5 \mathrm{~m}\). How many boxes with dimensions of \(50 \mathrm{~mm} \times 50 \mathrm{~mm} \times 50
A recipe for chili makes 3.5 liters of chili. If a restaurant serves chili in \(250 \mathrm{~mL}\) bowls, how many bowls of chili can they serve?
A contractor is building an in-ground pool. They excavate a pit that measures \(12 \mathrm{~m} \times 9 \mathrm{~m} \times 2.5 \mathrm{~m}\). The dirt is being taken away in a truck that holds \(30
A juice dispenser measures \(30 \mathrm{~cm} \times 30 \mathrm{~cm} \times 30 \mathrm{~cm}\). How many \(375 \mathrm{~mL}\) servings will a full dispenser serve?
Aspirin tablet:\(300 \mathrm{~kg}, 300 \mathrm{~g}\), or \(300 \mathrm{mg}\)Determine the most reasonable value for each weight.
Elephant:\(5,000 \mathrm{~kg}, 5,000 \mathrm{~g}\), or \(5,000 \mathrm{mg}\)Determine the most reasonable value for each weight.

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