Draw the time 7{:}15 pm on the clock face
Worked Solution & Answer
7{:}15 B1
Answer: Hour hand to 7, minute hand to 3
Time — Notes & Worked Examples Show / Hide
Explanation:
Remember that time is based on 60 minutes = 1 hour (not 100). On a 24-hour clock, times always use 4 digits (e.g. 08:30 for 8:30 am), and for afternoon or evening times from 1:00 pm onwards you add 12 to the hours (e.g. 3:45 pm = 15:45).
Never use column subtraction for times. Instead, count on in stages by jumping to the next whole hour first, then counting whole hours, and finally adding the remaining minutes.
Example 1: A train leaves at 14:38 and arrives at 17:15. How long is the journey?
• 14:38 → 15:00 = 22 min; 15:00 → 17:00 = 2 hrs; 17:00 → 17:15 = 15 min
• Combine minutes: 22 + 15 = 37 min → Answer: 2 hours 37 minutes
Example 2: A film starts at 6:45 pm and lasts 138 minutes. What time does it finish in 24-hour time?
Solution:
• Convert start time to 24-hour: 6:45 pm = 18:45
• Convert 138 mins: 120 mins + 18 mins = 2 hrs 18 mins
• Add 2 hours: 18:45 + 2 hrs = 20:45
• Add 18 mins: 20:45 + 15 mins = 21:00, + 3 mins = 21:03
Answer: 21:03
Write down the time shown on the clock
Worked Solution & Answer
The short hand points to the hour and the long hand points to the minutes (each number around the clock face is 5 minutes).
5{:}15
5{:}15
Answer: 5{:}15
Here is part of a train timetable from Swindon to London.
(a) How long should the 06 58 train from Swindon take to get to London? [1 mark]
(b) Is Clare correct?
You must give a reason for your answer. [1 mark]
You must give a reason for your answer. [1 mark]
Worked Solution & Answer
(a)
06 58 to 08 02 = 1 hr 4 mins B1
Answer (a): 1 hour 4 minutes
(b)
07 17 to 08 14 = 57 mins < 60 mins C1
Answer (b): No, the 07 17 train from Swindon arrives in London at 08 14 which takes 57 minutes (less than 1 hour)
Here is part of a railway timetable.
(a) Work out how long the 10 13 train takes to go from New Street to Coventry. [1 mark]
minutes
(b) What time is the latest train from Birmingham International he can catch? [1 mark]
Worked Solution & Answer
(a)
10 47 – 10 13 = 34 minutes B1
Answer (a): 34 minutes
(b)
The 10 45 train from Birmingham International arrives at Tile Hill at 10 55 B1
Answer (b): 10 45
Here is part of a train timetable.
(a) Work out how many minutes he has to wait until 07 22 [1 mark]
minutes
(b) Work out how long it will take the 07 22 train to get to London. [2 marks]
Worked Solution & Answer
(a)
22 – 15 = 7 mins B1
Answer (a): 7 minutes
(b)
07 22 to 08 00 is 38 mins M1
08 00 to 09 00 is 1 hr ⇒ 1 hr 38 mins A1
08 00 to 09 00 is 1 hr ⇒ 1 hr 38 mins A1
Answer (b): 1 hour 38 minutes
(a) Write 4:30 pm in 24-hour clock (1) (b) Bus timetable Beetown 0845, Corthill 0950, Pilton 1036. How many more minutes from Beetown to Corthill than Corthill to Pilton? (3)
(a) Write 4 30 pm as a time in the 24-hour clock. [1 mark]
(b) The bus should take more time to get from Beetown to Corthill than from Corthill to Pilton.
How much more time?
Give your answer in minutes. [3 marks]
How much more time?
Give your answer in minutes. [3 marks]
minutes
Worked Solution & Answer
(a)
4:30 pm = 16:30 B1
Answer (a): 16 30
(b)
Beetown to Corthill (0845 to 0950) = 65 mins M1
Corthill to Pilton (0950 to 1036) = 46 mins M1
Difference = 65 − 46 = 19 mins A1
Corthill to Pilton (0950 to 1036) = 46 mins M1
Difference = 65 − 46 = 19 mins A1
Answer (b): 19 minutes
This is part of a bus timetable between Bury and Manchester.
(a) How many minutes should the 08 25 bus take to go from Bury to Manchester? [1 mark]
minutes
(b) Does Daniel get to work by 10 am?
You must show all your working. [3 marks]
You must show all your working. [3 marks]
Worked Solution & Answer
(a)
08 25 to 09 05 = 40 mins B1
Answer (a): 40 minutes
(b)
Leaves 8.45 am + 17 mins = arrives Whitefield 9.02 am M1
catches 09 04 bus → arrives Manchester 09 35 M1
09 35 + 15 mins = 9.50 am (before 10 am) A1
catches 09 04 bus → arrives Manchester 09 35 M1
09 35 + 15 mins = 9.50 am (before 10 am) A1
Answer (b): Yes, he arrives at work at 9.50 am (catches the 09 04 bus from Whitefield, arrives Manchester 09 35)
Here is part of a train timetable from Liverpool to Birmingham.
(a) Which train should take the least time to go from Liverpool to Crewe?
You must show how you get your answer. [3 marks]
You must show how you get your answer. [3 marks]
(b) How many minutes does Rose have to wait for the train? [2 marks]
minutes
Worked Solution & Answer
(a)
Train 1: 08 07 to 08 53 = 46 mins M1
Train 2: 08 47 to 09 22 = 35 mins M1
Train 3: 09 07 to 09 55 = 48 mins
Least time = 08 47 train A1
Train 2: 08 47 to 09 22 = 35 mins M1
Train 3: 09 07 to 09 55 = 48 mins
Least time = 08 47 train A1
Answer (a): 08 47 supported
(b)
Next train scheduled at 09 30 + 35 min delay = 10 05 M1
Wait from 09 25 to 10 05 = 40 minutes A1
Wait from 09 25 to 10 05 = 40 minutes A1
Answer (b): 40 minutes
Here is part of a bus timetable between Wigan and Bolton.
(a) How many minutes should the 07 20 bus take to go from Wigan to Lostock? [2 marks]
minutes
(b) Will Alison get to work for 09 20?
You must show how you get your answer. [3 marks]
You must show how you get your answer. [3 marks]
Worked Solution & Answer
(a)
07 20 to 08 09 = 49 mins M1 A1
Answer (a): 49 minutes
(b)
At Blackrod stop at 08 07 → catches 08 09 bus → Bolton at 08 58 + 15 mins = 09 13 < 09 20 M2 A1
Answer (b): Yes (catches 08 09 bus, arrives Bolton 08 58, gets to work at 09 13)
Here is part of a train timetable between Horwich and Manchester.
(a) How long should the 07 46 train from Horwich take to get to Salford? [1 mark]
minutes
(b) What is the latest time Barnie can leave his house and be on time for
the interview? [3 marks]
the interview? [3 marks]
(c) What effect does the change of time have on the latest time Barnie can leave
his house? [1 mark]
his house? [1 mark]
Worked Solution & Answer
(a)
07 46 to 08 05 = 19 mins B1
Answer (a): 19 minutes
(b)
Must catch 08 17 from Lostock (arrives 08 45 + 8 = 08 53) M2
08 17 – 6 = 08 11 A1
08 17 – 6 = 08 11 A1
Answer (b): 08 11
(c)
No effect (the next train from Lostock is at 09 17 which arrives too late)
Answer (c): No effect (the next train from Lostock is at 09 17 which arrives too late)