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Use Time Calculations

In this worksheet, students practise calculating with time.

'Use Time Calculations' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Ratio, Proportion and Rates of Change, Mensuration

Curriculum subtopic:   Ratio, Proportion and Rates of Change, Units and Measurement

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

When students are dealing with calculations in time, the biggest mistake they make (over and over) is to try and use 'normal' addition and subtraction.

Time calculations are based around the number 60. There are 60 minutes in an hour and 60 seconds in a minute. (Normal calculation is based around 10, 100 etc)

 

The easiest way to do this is by counting on to the hour. If this method is used, students are much less likely to get answers that cannot be true.

 

Example 1: A TV programme starts at 09:00 and lasts 75 minutes. What time does it finish?

If we start at 09:00 and add 60 minutes we get to 10:00

This leaves us with 15 minutes so the programme ends at 10:15

 

Example 2: A 50-minute tv show ends at 15:45. What time did it start?

For this one, we're going backwards so we count down,

If I count down from 15:45 to 15:00 we have used 45 of the minutes

We just need to take 5 minutes off. This means the programme must have started at 14:55

 

Example 3: The winner of a formula one race has a time of 1 hr 58 minutes. If the second-place finisher has a time of 2 hrs 4 minutes, how long after the winner did the 2nd place finish?

This is easier than it looks, all we want is the difference between 1 hr 58 mins and 2 hrs 4 mins.

If we count on to the hour from 1 hr 58, it takes 2 minutes to get to 2 hours

We can then add the 4 minutes to get to 2 hrs 4 minutes. This gives us a difference of 6 minutes.

 

 

When dealing with time calculations...

A TV programme starts at 17:15 and finishes at 17:50. How long is the programme?

25 minutes

35 minutes

45 minutes

I put a chicken in the oven at 16:10. If it takes 1 hr and 45 minutes to cook, what time do I need to take it out?

 

(Give your answer as a time in the format HH:MM)

Match the start times and lengths of time with the end times.

Column A

Column B

Start: 09:00 Length 50 mins
End: 14:15
Start: 16:00 Length 70 mins
End: 17:10
Start: 12:30 Length 1 hr 45
End: 09:50

A TV Programme ends at 16:40. If it was 25 minutes long, what time did it start?

16:25

16:15

If I'm baking some Jacket Potatoes for dinner. If they take 1 hr and 15 minutes to cook and I want to eat at 18:00, what time do I need to start cooking them?

 

(Give your answer as a time in the format HH:MM)

Match the end times and lengths of time with the start times.

Column A

Column B

End: 09:00 Length 50 mins
Start: 10:45
End: 16:00 Length 70 mins
Start: 08:10
End 12:30 Length 1 hr 45
Start: 14:50

A TV programme starts at 16:20 and ends at 16:44. How long was the programme?

24 minutes

0.24 hours

I put my slow cooker on at 08:45 and turn it off at Midday. How long was it on for?

24 minutes

0.24 hours

Match the start and end times of these programmes with their lengths.

Column A

Column B

Start: 15:45 End: 16:15
0.25 hours
Start 07:30 End 07:45
0.5 hours
Start 13:40, end 14:10
1.5 hours
  • Question 1

When dealing with time calculations...

CORRECT ANSWER
EDDIE SAYS
Just remember that time calculations are based around the number 60.
  • Question 2

A TV programme starts at 17:15 and finishes at 17:50. How long is the programme?

CORRECT ANSWER
35 minutes
EDDIE SAYS
As these are both at 5 pm (17:00), we don't need to worry about going over the hour. We can just subtract 15 from 50.
  • Question 3

I put a chicken in the oven at 16:10. If it takes 1 hr and 45 minutes to cook, what time do I need to take it out?

 

(Give your answer as a time in the format HH:MM)

CORRECT ANSWER
17:55
EDDIE SAYS
This is easier to split up. If I add the hour, i get to 17:10. If I then add on the 45 minutes, I get...
  • Question 4

Match the start times and lengths of time with the end times.

CORRECT ANSWER

Column A

Column B

Start: 09:00 Length 50 mins
End: 09:50
Start: 16:00 Length 70 mins
End: 17:10
Start: 12:30 Length 1 hr 45
End: 14:15
EDDIE SAYS
The one that normally catches people here is the 70 mins, Don't forget to split it into hours and minutes if its over 60 minutes.
  • Question 5

A TV Programme ends at 16:40. If it was 25 minutes long, what time did it start?

CORRECT ANSWER
16:15
EDDIE SAYS
Did you notice that the length was less than the minutes in the time? This means that we won't go over the hour and we can just subtract.
  • Question 6

If I'm baking some Jacket Potatoes for dinner. If they take 1 hr and 15 minutes to cook and I want to eat at 18:00, what time do I need to start cooking them?

 

(Give your answer as a time in the format HH:MM)

CORRECT ANSWER
16:45
EDDIE SAYS
Splitting up the 1 hr and 15 minutes is the key here. Working backwards from 18:00, the 9hr takes me back to 17:00 and then I just have to take off the 15 minutes.
  • Question 7

Match the end times and lengths of time with the start times.

CORRECT ANSWER

Column A

Column B

End: 09:00 Length 50 mins
Start: 08:10
End: 16:00 Length 70 mins
Start: 14:50
End 12:30 Length 1 hr 45
Start: 10:45
EDDIE SAYS
The one that normally catches people here is the 70 mins, Don't forget to split it into hours and minutes if its over 60 minutes.
  • Question 8

A TV programme starts at 16:20 and ends at 16:44. How long was the programme?

CORRECT ANSWER
24 minutes
EDDIE SAYS
Remember that for time calculations we cannot use normal methods, we have to use the counting on methods. 16:44 - 16: 20 = 24 minutes
  • Question 9

I put my slow cooker on at 08:45 and turn it off at Midday. How long was it on for?

CORRECT ANSWER
EDDIE SAYS
Remember that midday is 12:00. If I counted on from 08:45 to 09:00 I have 15 minutes.# How do I then work out the number of hours?
  • Question 10

Match the start and end times of these programmes with their lengths.

CORRECT ANSWER

Column A

Column B

Start: 15:45 End: 16:15
1.5 hours
Start 07:30 End 07:45
0.25 hours
Start 13:40, end 14:10
0.5 hours
EDDIE SAYS
One of the things examiners love to do is tie together topics. In this case we have tied together time and decimals. At this level, the numbers you are dealing with are nice and easy. If I start at 14:00 and finish at 14:30, this is 30 minutes 30 minutes is called half an hour - 0.5 hours
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