Math Text Only 3

The temperature on Monday was -9°F, and on Tuesday it was 8°F. What is the difference in temperature, in °F?

A golfer’s last 12 rounds were –2, +4, –3, –1, +5, +3, –4, –5, –2, –6, –1, and 0. What is the average of these rounds?

The length of a room is 7 ⅔ feet. When the length of the room is doubled, what is the new length in feet?

In 2016, a town had 17.4 inches of snowfall. In 2017, it had 45.2 inches of snowfall. What is the difference in inches?

A fruit salad is a mixture of 1¾ pounds of apples, 2¼ pounds of grapes, and 1¼ pounds of bananas. After the fruit is mixed, 1½ pounds are set aside, and the rest is divided into three containers. What is the weight in pounds of one container?

Mike bought items that cost $4.78, $3.49, $6.79, $9.78, and $14.05. He had a coupon worth $5.00. If he paid with a $50.00 bill, then how much change does he receive?

In a word game, a player loses 8 points when using an invalid word. If there were 65 invalid words, how many points were lost during the game?

A service group collects trash from area roadways for four straight weeks. The amount of trash they pick up is about \( 19\frac{1}{2}, 15\frac{1}{3}, 20\frac{7}{10}, and\:   16\frac{3}{5}\) pounds. Estimate the total number of pounds collected.

In a game, positive and negative points can be scored. For 10 turns, the point total is –5, +4, –7, –2, 0, +3, +5, –6, –4, +2. What is the average point total?

John spends $21.25 at the movies. His ticket is $7.75, and he buys popcorn, a pretzel, and a drink. If each snack costs the same, what is the price of the pretzel?

One recipe calls for ¾ cup of sugar, and another calls for 2½ cups of sugar. The first recipe is tripled, and the second recipe is halved. How many cups of sugar are needed?

Jayden rides his bike for 2 ¾ miles. He takes a break and rides another  3 ⅓ miles. How many miles does he ride?

Karida has a part–time job. She works 4.25 hours on Thursday and Friday and 6.5 hours on Saturday and Sunday. What is her hourly rate if her check is $268.75?

Eric buys 2 ⅖ pounds of apples each week for four weeks. How many total pounds does he buy?

Four walls in a room need to be painted. The dimensions of two walls are 12½ feet by 11¾ feet, and the other two walls are 11¾ feet by 10⅛ feet. What is the estimated area in square feet to be painted?

The level of a river during a flood was 39.45 feet. After a week, the water level declined to 18.97 feet. What was the amount of decrease in feet?

An even roll of a number cube results in +2 points, and an odd roll of a number cube is –3 points. If there are 14 even numbers and 11 odd numbers, then how many points are scored?

In a state, the highest elevation is 1,450 feet and the lowest elevation is –80 feet. What is the difference in the elevations in feet?

In a backyard, ⅙ of the yard is a garden, ⅖ is landscaped, and ⅓ is for play. How much of the yard is available for other use?

A person has $250 in a checking account and writes checks for $70, $85, $60, and $100. There is also a fee of $20. What is the balance of the account?

Ron is training for a marathon. If he trains by running 57.5 miles every 5 days, then about how many miles will he run in 43 days?

The top 5 leading scorers on a basketball team average 21.3, 19.8, 15.5, 13.9, and 12.4 points per game. What is the estimated average of these players?

A piece of wood that is \(5\frac{2}{3}\) feet long has \(1\frac{1}{4}\) feet cut off. How many feet of wood remain?

A teacher buys 4 bottles of water for class. Each bottle of water contains 3 liters. Each cup holds ⅖ of a liter. How many cups can be filled?

A business reported a loss on Monday and Tuesday of $300 each day, a loss on Wednesday of $100, a profit on Thursday of $400, and a profit on Friday and Saturday for $600 each day. What was the total profit or loss for the week?

The original height of a plant is 1.75 inches. The plant grows an average of 1.08 inches each month for 6 months. What is the new height of the plant in inches?

A county contains 25 villages, 12 towns, and 3 cities. There is an average of 6 stoplights in a village, 27 in a town, and 148 in a city. Estimate the total number of stoplights.

The temperature on Monday was –7°F, and it increased 18°F by Tuesday afternoon. What is the temperature in °F on Tuesday afternoon?

Benjamin buys \(3\frac{1}{3}\), \(2\frac{1}{2}\), and \(1\frac{3}{4}\) of yards of fabric at a store. How many total yards did he purchase?

Siobhan walks 1.45 miles to school and then back home each day Monday through Friday. How many miles does she walk each week?

A diver was at 125 feet below sea level. The diver dove down another 350 feet. Where was the diver located?

A small landscaping company mows lawns and has three 5.4–gallon gas cans. One day, the landscapers empty each of the gas cans three times. How many gallons of gas did they use?

A pair of jeans with tax costs $39.97, and a shirt with tax costs $18.49. What is the amount of change for a pair of jeans and two shirts if playing with a $100 bill?

A nurse receives a prescription from the doctor instructing her to give her patient 400 milligrams (mg) of a medicine. The hospital only has the medicine available in grams. What dosage will the nurse need to give her patient?

A doctor writes a prescription for 3 grams of medicine, but a pharmacist must fill the order using milligrams (mg). What will the medicine dosage be?

A doctor writes a prescription for his patient for 200 milligrams (mg), but the pharmacy technician only has the medicine available in grams. How many grams (g) will the pharmacy technician need to fill the order?

A patient needs to take 0.5 gram/day for one of his medicines. How many milligrams (mg) per day does he need for this medicine?

An allergist prescribes their patient to take 400 milligrams (mg) of an anti–histamine medicine per dose. When the patient picks up the medicine at the pharmacy, it is only available in liquid form. How many milliliters (mL) should the patient be taking per dose?

A doctor writes a month–long prescription for a total of 15 grams of medicine. If a pharmacist fills the order using pills that are 100 milligrams of medicine each, how many pills will be needed for the prescription?

A nurse is instructed to give a patient 1.5 liters of fluid while they recover from a medical procedure. How many milliliters (mL) will the patient receive?

A patient receives 1,200 mL of fluid every 4 hours over the course of 24 hours. How much total fluid does the patient receive in one day?

A doctor writes a prescription for 0.5 liters of liquid medicine to a patient. How many milliliters (mL) will the medicine bottle be filled with?

A doctor writes a prescription for a total of 20 grams of medicine. If a pharmacist fills the order using tablets that are 200 milligrams of medicine each, how many tablets will be needed for the prescription?

A nurse must administer a total of 5,000 milligrams (mg) of medicine to her patient, but is instructed to only provide 0.25 grams (g) of medicine every two hours. How many doses will patient receive?

A patient is instructed to take 400 milligrams of medicine per dose. If the prescribing doctor gave the patient 8 grams of medicine, how many doses does the patient have?

A nurse provides 0.25 liters of fluid to a recovering patient every 4 hours. The doctor wants to restrict the fluid intake and says to stop it after 1,500 milliliters, and then the doctor will check on the patient. How many times will the patient receive fluid before the doctor checks on him?

A doctor wrote a prescription to give a patient the pills that are only 10 milligrams (mg) each. If the patient receives a prescription for a total of 1.5 grams, how many total pills will the patient have to take?

A nurse needs to administer 0.8 grams of medicine to a patient every two hours until the patient has received 3200 milligrams worth of medicine. If the nurse is prompt on her care, how many times will nurse give the patient medicine?

A person’s body temperature is usually 98.6°F. What temperature is this on the Celsius scale?

A patient’s fever is 102°F. Convert the temperature to the Celsius scale.

A foreign exchange student is use to daily temperatures being reported on the Celsius scale. If the temperature reads 85°F, what temperature is what degree in Celsius?

Water freezes at 32°F or ___°C.

A few parents complain that the weather is so hot, 100°F. One clever kid exclaims that it is not actually 100 degrees, because it is ___° Celsius.

20°C is what temperature in Fahrenheit?

Water freezes at 0°C or ___°F.

Water boils at 100°C or ___°F.

A patient’s thermometer says her body temperature is 23°C, which is ___°F. (Note: °F = ⁹⁄₅ (°C) + 32.

A nurse adjusts the thermostat of her patient to be 30°C, or ___°F.

A factory is studying the quality of beverage samples. There are 50 bottles randomly chosen from one shipment every 60 minutes. What type of sampling is used?

A group conducting a survey asks a person for his or her opinion. Then, the group asks the person being surveyed for the names of 10 friends to obtain additional options. What type of sampling is used?

A school wants to create a census to identify students’ favorite subject in school. Which group should the school ask?

A researcher records the arrival time of employees at a job based on their actual start time. What type of study is this?

The local county wants to test the water quality of a stream by collecting samples. What should the county collect?

There are six options from which to choose a meal at a festival. A model using a six–sided number cube is used to represent the simulation.

Choose the statement that correctly answers whether the simulation of using a six–sided number cube is consistent with the actual number of dinners sold and then explains why or why not.

A family has two children and wants to simulate the gender of the children. Which object would be beneficial to use for the simulation?

A factory is investigating defects in screwdrivers that have been placed in containers to be shipped to stores. Random containers are selected for the team leader to review. What type of sampling is used?

There is an election at a school where 5 candidates out of 10 will be elected. Which object and results are the most appropriate for a simulation?

A survey group wants to know the percentage of voters in a town who favor building a new shopping center. What is the survey group’s population?

A school wants to know the daily attendance of all classes. What data would be good for a census?

A study looked at a random sample of people and watched their use of social media on mobile devices. The researcher looked at which group of users were happier. What type of study is this?

A group is conducting a survey at a mall asking shoppers their opinion of the mall. What type of sampling is used?

A surveyor asked students if they are attending school after high school. The students who responded “No” were excluded. What type of sampling is used?

In which of the following situations is probability sampling used?

At the grocery store, a researcher asks random people about the number of text messages they send daily. What type of study is this?

A research study aims to find the average age of all retail workers. A group asks all retail workers in Ohio their birth years. What is a name for this study?

At a school, the probability a student has a study hall is two–thirds. What object and results could be used for a simulation of 1,000 times?

There are four available pen colors to choose. A simulation is used to represent the number of times each pen is used.

Choose the statement that correctly explains why or why not seeing these results questions the probability of one out of four for each color.

A car repair shop wants to create a survey about the performance of car batteries. Which is an example of a survey?

A doctor wants to study the effects of a low–fat diet in patients. What would be needed to create an observational study?

Identify the sampling technique that is a convenience sample.

A group of researchers is studying dog behavior. They study the number of hours dogs sleep when music is playing and when it is not playing. What type of study is this?

Identify the study that is a census.

A teacher wants to know if seat location affects test scores. What data needs to be collected for an experiment?

Identify the sampling technique that is a simple random sample for obtaining the opinion of grocery shoppers.

Identify the study that is a survey.

A simulation of playing a game with a 10–sided number cube is shown.

Choose the statement that correctly explains why or why not seeing these results questions the probability of 1 out of 10 for each number.

A coin is flipped 10 times, and the results are 5 heads and 5 tails. Choose the statement that correctly explains why or why not this result questions this model of probability.

A study separated two groups into people who drink coffee in the morning and people who drink tea in the morning. Researchers compared how people felt four hours after waking up. What type of study is this?

A survey group wants to ask the daily commute time for workers at a large company who use a car to get to work. What is the sample for the survey?

A local group wants to find out the opinions of the local job market. Which group of people should be asked for the survey?

When would non–probability sampling be used to study the characteristics of a state population?

A store wants to ask every twentieth customer about his or her shopping experience. What sampling technique is used?

A class of fourth graders decides to split into groups based on the first letter of their last names. Then, they choose students from each group. What type of sampling is used?

Which of the following examples uses probability sampling?

There are 4,000 students at a high school. A simulation was completed for 50 students indicating that 35 intend to go to college. How can this simulation improve to provide a more accurate outcome?