(Math Test) Reed and Barney's Recess Calculations

Reed just turned 18 and got his first job at Little Shepherds Daycare as a caretaker. One of his responsibilities is to help Barney, the lead caretaker, create an outdoor recess schedule for Mitchell, a two-year-old toddler. Help Reed solve these math problems related to planning Mitchell’s day.

Section 1: Schedule Planning

1. Reed needs to schedule outdoor recess time for Mitchell. If recess starts at 10:15 AM and lasts for 45 minutes, what time does recess end?

2. Mitchell needs a pamper change every 2.5 hours. If his first pamper change is at 8:00 AM, at what time should Reed schedule his third pamper change?

3. Reed works from 7:30 AM to 4:15 PM. How many total hours does Reed work each day?

4. Barney wants the toddlers to have 3 outdoor recess periods. If each period is 30 minutes long with 45 minutes in between, how much total time will the toddlers spend outside?

5. Mitchell drinks 4 ounces of water every hour while playing outside. If outdoor recess lasts 2.5 hours, how many ounces of water should Reed bring for Mitchell?

6. The daycare has 15 toddlers including Mitchell. If Reed and Barney need to maintain a ratio of 1 caretaker for every 5 toddlers, how many total caretakers are needed during outdoor recess?

7. Reed notices that Mitchell gets tired after 35 minutes of active play. If outdoor recess starts at 1:20 PM, at what time should Reed schedule a quiet activity for Mitchell?

8. Mitchell’s male caretaker drops him off at 7:45 AM and picks him up at 5:15 PM. How many hours does Mitchell spend at daycare each day?

9. Reed records that Mitchell sleeps for 1 hour and 45 minutes during naptime. If naptime begins at 12:30 PM, when does Mitchell typically wake up?

10. The daycare schedule allocates 20 minutes for each meal. If Mitchell has breakfast, lunch, and an afternoon snack, how many total minutes per day are allocated for Mitchell’s meals?

Section 2: Supplies and Materials

1. Reed needs to fill Mitchell’s water bottle for outdoor recess. If the bottle holds 12 ounces and is currently 1/3 full, how many more ounces of water does Reed need to add to fill it completely?

2. The daycare has 24 rubber balls for the playground. If each of the 8 toddlers going outside needs 2 balls to play with, how many balls will be left unused?

3. Reed is preparing sunscreen for the toddlers. If each toddler needs 1.5 teaspoons of sunscreen and there are 12 toddlers going outside, how many teaspoons of sunscreen will Reed need in total?

4. Mitchell’s favorite puzzle has 24 pieces. If he can place 3 pieces correctly every minute, how many minutes will it take him to complete the entire puzzle?

5. Reed is organizing art supplies. If he has 48 crayons to distribute equally among 6 toddlers, how many crayons will each toddler receive?

6. The playground sandbox holds 450 pounds of sand. It currently has 275 pounds. How many more pounds of sand are needed to fill the sandbox completely?

7. Each toddler needs 4 wet wipes during a typical pamper change. If Mitchell has 5 pamper changes during his day at daycare, how many wet wipes will be used for Mitchell in one day?

8. Reed is preparing juice for lunchtime. If each toddler gets 6 ounces of juice and there are 14 toddlers, how many ounces of juice will Reed need in total?

9. A package of pampers contains 36 pampers. If the daycare uses 12 pampers per day for Mitchell, how many days will the package last?

10. The daycare playground has a perimeter of 120 feet. Reed walks around it 3 times while supervising the toddlers. How many feet does Reed walk in total?

Section 3: Activities and Play

1. Mitchell stacks blocks during recess. If he can stack 3 blocks per minute and recess lasts 15 minutes, how many blocks can Mitchell stack in total?

2. The sandbox has an area of 24 square feet. If each toddler needs 3 square feet of space to play comfortably, how many toddlers can play in the sandbox at once?

3. Reed organizes a water play activity where each toddler gets a bucket with 2.5 liters of water. If there are 10 toddlers participating, how many liters of water will Reed need?

4. Mitchell puts together a train track with 48 pieces. If Reed helps him connect 12 pieces every 5 minutes, how long will it take them to assemble the entire track?

5. During music time, the toddlers dance for 25 minutes. If they take a 2-minute break after every 5 minutes of dancing, how many minutes of breaks will they have in total?

6. Reed plans a nature walk where the toddlers will collect leaves. If each toddler collects 8 leaves and there are 15 toddlers, how many leaves will they collect altogether?

7. The toddlers use finger paint for an art project. Each toddler uses 1/4 cup of paint. If there are 16 toddlers, how many cups of paint will be used in total?

8. Mitchell spends 1/5 of his recess reading books, 2/5 playing with blocks, and the rest playing with toy cars. What fraction of his recess does Mitchell spend playing with toy cars?

9. The daycare has a collection of 72 picture books. If 3/8 of the books are about animals, how many animal books are in the collection?

10. Reed organizes the toddlers into groups for activities. If there are 20 toddlers and each group should have 4 toddlers, how many groups will Reed create?

Section 4: Growth and Development

1. Mitchell weighed 22.5 pounds at the beginning of the year. If he has gained 3.75 pounds since then, what is his current weight?

2. Reed tracks Mitchell’s height over time. Mitchell was 30 inches tall on his 2nd birthday. If he grows 0.3 inches every month, how tall will he be 6 months after his birthday?

3. Mitchell drinks 24 ounces of milk each day. How many gallons of milk does he drink in a 30-day month? (128 ounces = 1 gallon)

4. Reed records that Mitchell can say 45 words clearly. If this represents 3/5 of the total words Mitchell knows, how many words does Mitchell know in total?

5. The average 2-year-old takes about 10,000 steps per day. If Mitchell takes 425 steps per hour while awake, and he’s awake for 12 hours, does Mitchell take more or fewer steps than the average? How many more or fewer?

6. Mitchell’s vocabulary increases by about 10 new words each month. If he currently knows 75 words, how many words will he know after 8 more months?

7. Reed measures that Mitchell can now throw a ball 15 feet. This is 3 times the distance he could throw 6 months ago. How far could Mitchell throw the ball 6 months ago?

8. Mitchell spends 2.25 hours each day on physical activities. What percentage of his 9-hour day at the daycare is spent on physical activities?

9. The recommended daily calcium intake for a 2-year-old is 700 milligrams. If Mitchell gets 200 milligrams from milk, 175 milligrams from cheese, and 125 milligrams from yogurt, how many more milligrams does he need to reach the recommended daily intake?

10. Mitchell’s male caretaker reports that he sleeps 11.5 hours each night. If the recommended sleep for a 2-year-old is 12-14 hours per day, is Mitchell getting enough sleep? If not, what is the minimum additional time he should sleep?

Section 5: Practical Problems

1. Reed needs to order new supplies. If pampers cost $0.35 each and Mitchell uses 6 pampers per day, how much does the daycare spend on Mitchell’s pampers in a 5-day week?

2. The daycare playground has a rectangular sandbox that is 6 feet long and 4 feet wide. What is the area of the sandbox in square feet?

3. Reed prepares snack portions for the toddlers. If he has 3.5 pounds of apple slices to divide equally among 14 toddlers, how many pounds of apple slices will each toddler receive?

4. Mitchell’s outdoor recess equipment includes 3 balls at $4.50 each, 2 shovels at $3.75 each, and a bucket for $5.25. What is the total cost of Mitchell’s outdoor recess equipment?

5. Reed needs to prepare for water play day. Each toddler needs 3.5 gallons of water for their activities. If there are 12 toddlers, how many gallons of water should Reed prepare in total?

6. The daycare uses a special laundry detergent for washing the toddlers’ naptime blankets. If one bottle washes 24 blankets and there are 18 toddlers who each use one blanket daily, how many days will one bottle of detergent last?

7. Mitchell’s schedule includes 45 minutes for lunch and cleanup. If lunch takes 25 minutes, what percentage of the total lunch period is spent on cleanup?

8. Reed walks around the playground perimeter while supervising outdoor recess. If the playground is a rectangle measuring 45 feet by 30 feet, how far does Reed walk in one complete lap around the playground?

9. The daycare’s water table holds 8.5 gallons of water. During a 30-minute recess session, the toddlers splash out 1/4 of the water. How many gallons of water remain in the water table after the recess session?

10. Reed notices that Mitchell completes a 20-piece puzzle in 15 minutes. At this rate, how long would it take Mitchell to complete a 35-piece puzzle?

Bonus Question: The daycare is planning a special outdoor day for the 15 toddlers. Each toddler will need 2 bottles of bubbles at $1.25 each, 1 container of sidewalk chalk for $3.50, and 3 stickers at $0.40 each. What will be the total cost of supplies for all the toddlers?