EDEXCEL GCSE Foundation Maths: Time Calculations
What are Time Calculations?
Time calculations involve working with units of time, such as seconds, minutes, hours, days, weeks, months, and years. You'll be expected to:
- Convert between units of time: For example, changing minutes to hours or seconds to minutes.
- Calculate time intervals: Find the difference between two times (e.g., how long it takes to travel somewhere).
- Solve problems involving time: This could include calculating speeds, distances, or durations.
Units of Time
Here's a table of common units of time and their conversions:
Unit |
Symbol |
Equivalent |
Second |
s |
1/60 minute |
Minute |
min |
60 seconds |
Hour |
h |
60 minutes |
Day |
d |
24 hours |
Week |
wk |
7 days |
Month |
mo |
Approximately 4 weeks |
Year |
yr |
12 months, 52 weeks, 365 days (approximately) |
Converting Time Units
1. Converting to Smaller Units
- Multiply the larger unit by the conversion factor.
- Example: Convert 2 hours to minutes.
- 2 hours x 60 minutes/hour = 120 minutes
2. Converting to Larger Units
- Divide the smaller unit by the conversion factor.
- Example: Convert 300 seconds to minutes.
- 300 seconds / 60 seconds/minute = 5 minutes
Calculating Time Intervals
1. Finding the Difference Between Times
- Subtract the earlier time from the later time.
- Example: Find the time interval between 10:30 am and 1:45 pm.
- 1:45 pm = 13:45 (in 24-hour clock format)
- 13:45 - 10:30 = 3 hours 15 minutes
2. Using the 24-Hour Clock
- The 24-hour clock avoids confusion between am and pm.
- Example: 1:30 pm is written as 13:30 in the 24-hour clock.
Solving Time Problems
1. Understanding the Relationship Between Time, Speed, and Distance
- Speed = Distance / Time
- Distance = Speed x Time
- Time = Distance / Speed
2. Using Formulas and Units
- Ensure you use consistent units. For example, if speed is in kilometers per hour (km/h), then distance should be in kilometers (km) and time in hours (h).
Practice Problems
- Convert 3.5 hours to minutes.
- Calculate the time interval between 9:15 am and 11:45 am.
- A car travels 150 kilometers in 2.5 hours. Calculate its speed.
- A train travels at 80 km/h for 3 hours. What distance does it cover?
Tips for Success
- Memorize the units of time and their conversions.
- Practice converting between units.
- Use the 24-hour clock to avoid confusion.
- Understand the relationship between time, speed, and distance.
- Pay attention to units and ensure they are consistent.
- Practice solving time problems regularly.