Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Let's solve each problem step by step:
---
A car manufacturer can produce 200 cars per day. How many weeks will it take to produce 5,600 cars?
#### Solution:
1. Find the number of days required to produce 5,600 cars:
\[
\text{Number of days} = \frac{\text{Total cars}}{\text{Cars produced per day}} = \frac{5600}{200} = 28 \text{ days}
\]
2. Convert days into weeks:
\[
\text{Number of weeks} = \frac{\text{Number of days}}{7} = \frac{28}{7} = 4 \text{ weeks}
\]
#### Final Answer:
\[
\boxed{4}
\]
---
Amra can run 20 kilometers in 3 hours at a steady rate. How long will it take her to run just 5 kilometers?
#### Solution:
1. Find Amra's running speed (in kilometers per hour):
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{20 \text{ km}}{3 \text{ hours}} = \frac{20}{3} \text{ km/h}
\]
2. Calculate the time to run 5 kilometers:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{5 \text{ km}}{\frac{20}{3} \text{ km/h}} = 5 \times \frac{3}{20} = \frac{15}{20} = \frac{3}{4} \text{ hours}
\]
3. Convert hours into minutes:
\[
\frac{3}{4} \text{ hours} = \frac{3}{4} \times 60 \text{ minutes} = 45 \text{ minutes}
\]
#### Final Answer:
\[
\boxed{45}
\]
---
Petra always keeps the 6 bedrooms in her house clean. It takes her 15 minutes to clean a single room. How many hours will it take her to clean all 6 bedrooms?
#### Solution:
1. Find the total time to clean all 6 bedrooms:
\[
\text{Total time} = \text{Time per room} \times \text{Number of rooms} = 15 \text{ minutes/room} \times 6 \text{ rooms} = 90 \text{ minutes}
\]
2. Convert minutes into hours:
\[
\text{Hours} = \frac{\text{Total minutes}}{60} = \frac{90}{60} = 1.5 \text{ hours}
\]
#### Final Answer:
\[
\boxed{1.5}
\]
---
I can type 400 words per hour. How many minutes will it take me to write a report with 2,000 words?
#### Solution:
1. Find the time required to type 2,000 words:
\[
\text{Time} = \frac{\text{Total words}}{\text{Words per hour}} = \frac{2000}{400} = 5 \text{ hours}
\]
2. Convert hours into minutes:
\[
\text{Minutes} = 5 \text{ hours} \times 60 \text{ minutes/hour} = 300 \text{ minutes}
\]
#### Final Answer:
\[
\boxed{300}
\]
---
When I work for 4 hours, I take 2 breaks of 15 minutes each. If I worked 12 hours yesterday, how many minutes in breaks did I take?
#### Solution:
1. Determine the number of 4-hour segments in 12 hours:
\[
\text{Number of segments} = \frac{12 \text{ hours}}{4 \text{ hours/segment}} = 3 \text{ segments}
\]
2. Calculate the total break time per segment:
\[
\text{Break time per segment} = 2 \times 15 \text{ minutes} = 30 \text{ minutes}
\]
3. Calculate the total break time for all segments:
\[
\text{Total break time} = \text{Break time per segment} \times \text{Number of segments} = 30 \text{ minutes} \times 3 = 90 \text{ minutes}
\]
#### Final Answer:
\[
\boxed{90}
\]
---
It takes me 12 minutes to swim 4 laps. How many hours will it take me to swim 50 laps?
#### Solution:
1. Find the time to swim 1 lap:
\[
\text{Time per lap} = \frac{\text{Total time}}{\text{Number of laps}} = \frac{12 \text{ minutes}}{4 \text{ laps}} = 3 \text{ minutes/lap}
\]
2. Calculate the total time to swim 50 laps:
\[
\text{Total time} = \text{Time per lap} \times \text{Number of laps} = 3 \text{ minutes/lap} \times 50 \text{ laps} = 150 \text{ minutes}
\]
3. Convert minutes into hours:
\[
\text{Hours} = \frac{\text{Total minutes}}{60} = \frac{150}{60} = 2.5 \text{ hours}
\]
#### Final Answer:
\[
\boxed{2.5}
\]
---
1. \(\boxed{4}\)
2. \(\boxed{45}\)
3. \(\boxed{1.5}\)
4. \(\boxed{300}\)
5. \(\boxed{90}\)
6. \(\boxed{2.5}\)
---
Problem 1:
A car manufacturer can produce 200 cars per day. How many weeks will it take to produce 5,600 cars?
#### Solution:
1. Find the number of days required to produce 5,600 cars:
\[
\text{Number of days} = \frac{\text{Total cars}}{\text{Cars produced per day}} = \frac{5600}{200} = 28 \text{ days}
\]
2. Convert days into weeks:
\[
\text{Number of weeks} = \frac{\text{Number of days}}{7} = \frac{28}{7} = 4 \text{ weeks}
\]
#### Final Answer:
\[
\boxed{4}
\]
---
Problem 2:
Amra can run 20 kilometers in 3 hours at a steady rate. How long will it take her to run just 5 kilometers?
#### Solution:
1. Find Amra's running speed (in kilometers per hour):
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{20 \text{ km}}{3 \text{ hours}} = \frac{20}{3} \text{ km/h}
\]
2. Calculate the time to run 5 kilometers:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{5 \text{ km}}{\frac{20}{3} \text{ km/h}} = 5 \times \frac{3}{20} = \frac{15}{20} = \frac{3}{4} \text{ hours}
\]
3. Convert hours into minutes:
\[
\frac{3}{4} \text{ hours} = \frac{3}{4} \times 60 \text{ minutes} = 45 \text{ minutes}
\]
#### Final Answer:
\[
\boxed{45}
\]
---
Problem 3:
Petra always keeps the 6 bedrooms in her house clean. It takes her 15 minutes to clean a single room. How many hours will it take her to clean all 6 bedrooms?
#### Solution:
1. Find the total time to clean all 6 bedrooms:
\[
\text{Total time} = \text{Time per room} \times \text{Number of rooms} = 15 \text{ minutes/room} \times 6 \text{ rooms} = 90 \text{ minutes}
\]
2. Convert minutes into hours:
\[
\text{Hours} = \frac{\text{Total minutes}}{60} = \frac{90}{60} = 1.5 \text{ hours}
\]
#### Final Answer:
\[
\boxed{1.5}
\]
---
Problem 4:
I can type 400 words per hour. How many minutes will it take me to write a report with 2,000 words?
#### Solution:
1. Find the time required to type 2,000 words:
\[
\text{Time} = \frac{\text{Total words}}{\text{Words per hour}} = \frac{2000}{400} = 5 \text{ hours}
\]
2. Convert hours into minutes:
\[
\text{Minutes} = 5 \text{ hours} \times 60 \text{ minutes/hour} = 300 \text{ minutes}
\]
#### Final Answer:
\[
\boxed{300}
\]
---
Problem 5:
When I work for 4 hours, I take 2 breaks of 15 minutes each. If I worked 12 hours yesterday, how many minutes in breaks did I take?
#### Solution:
1. Determine the number of 4-hour segments in 12 hours:
\[
\text{Number of segments} = \frac{12 \text{ hours}}{4 \text{ hours/segment}} = 3 \text{ segments}
\]
2. Calculate the total break time per segment:
\[
\text{Break time per segment} = 2 \times 15 \text{ minutes} = 30 \text{ minutes}
\]
3. Calculate the total break time for all segments:
\[
\text{Total break time} = \text{Break time per segment} \times \text{Number of segments} = 30 \text{ minutes} \times 3 = 90 \text{ minutes}
\]
#### Final Answer:
\[
\boxed{90}
\]
---
Problem 6:
It takes me 12 minutes to swim 4 laps. How many hours will it take me to swim 50 laps?
#### Solution:
1. Find the time to swim 1 lap:
\[
\text{Time per lap} = \frac{\text{Total time}}{\text{Number of laps}} = \frac{12 \text{ minutes}}{4 \text{ laps}} = 3 \text{ minutes/lap}
\]
2. Calculate the total time to swim 50 laps:
\[
\text{Total time} = \text{Time per lap} \times \text{Number of laps} = 3 \text{ minutes/lap} \times 50 \text{ laps} = 150 \text{ minutes}
\]
3. Convert minutes into hours:
\[
\text{Hours} = \frac{\text{Total minutes}}{60} = \frac{150}{60} = 2.5 \text{ hours}
\]
#### Final Answer:
\[
\boxed{2.5}
\]
---
Final Answers:
1. \(\boxed{4}\)
2. \(\boxed{45}\)
3. \(\boxed{1.5}\)
4. \(\boxed{300}\)
5. \(\boxed{90}\)
6. \(\boxed{2.5}\)
Parent Tip: Review the logic above to help your child master the concept of unit rate word problem worksheet.