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Time (Difficult)
What is 28,800 seconds in hours? Find out in this quiz.

Time (Difficult)

This 11 Plus Maths quiz challenges pupils to solve tricky time problems, including converting between units, comparing speeds, and calculating durations from real-life examples.

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Fascinating Fact:

A 400 metre runner completes one lap in 52 seconds. To run 5 laps, they take 4 minutes and 20 seconds.

In 11 Plus Maths, pupils learn to combine time and speed calculations to tackle complex problems. They also convert between seconds, minutes, and decimal hours to find precise answers.

  • Lap: One complete circuit around a track or course.
  • Decimal Hours: A way to express time using parts of an hour instead of minutes, such as 4.25 hours instead of 4 hours 15 minutes.
  • Conversion: The process of changing time units, such as minutes into seconds or vice versa.
How do you convert minutes and seconds into total seconds?

Multiply the number of minutes by 60, then add the remaining seconds. For example, 4 minutes and 20 seconds equals 260 seconds.

Why do we use decimal hours in time calculations?

Decimal hours make calculations easier when using formulas, especially in problems involving averages or speed, as they avoid mixing minutes and seconds.

How can you check if a time calculation is accurate?

Convert all times into the same unit, like seconds, before comparing or calculating. Then reverse the process to confirm the final answer matches the problem’s context.

1 .
How many seconds are there in a day?
860,400 seconds
864 seconds
86,400 seconds
8,640 seconds
There are 60 seconds in 1 minute, 60 minutes in 1 hour, and 24 hours in a day: 60 × 60 × 24 = 86,400 seconds
2 .
How many days are there in a decade which has three leap years?
3,666 days
3,647 days
3,653 days
3,650 days
A decade is ten years. There are 365 days in a year, so 10 × 365 = 3,650 days. Each leap year adds an extra day; therefore, the total number of days = 3,650 + 3 = 3,653 days
3 .
The bus leaves at 18:47 and arrives at 19:23. How many minutes does the journey take?
37 minutes
36 minutes
38 minutes
136 minutes
18:47 to 19:00 is 13 minutes. 19:00 to 19:23 is 23 minutes. The total time = 13 + 23 = 36 minutes
4 .
How many months are there in a decade?
1,200 months
100 months
12 months
120 months
A decade is 10 years. There are 12 months in a year, so that's 10 × 12 = 120 months
5 .
What is 28,800 seconds in hours?
8 hours
80 hours
0.8 hours
6 hours
There are 60 seconds in 1 minute, so in 28,800 seconds there are 28,800 ÷ 60 = 480 minutes. There are 60 minutes in 1 hour, so in 480 minutes there are 480 ÷ 60 = 8 hours. Each time you divide, you are finding how many 'lots' of one thing there are in another thing. There are 8 hours in 480 minutes because 8 'lots' of 60 equals 480. You could keep on adding 60 to itself until you got to 480: it's the same thing, but division is quicker
6 .
John starts shift work in New Town at 19:55. One day he left home at 18:05 and travelled by bus to the station: he got to the station at 18:47. The train journey took 37 minutes to get to New Town, and it took him a further 18 minutes of walking to get to work. What time did John get to work, and by how many minutes was he late or early?
He got to work at 7:42 pm, and he was early by 13 minutes
He got to work at 7:42 pm, and he was late by 13 minutes
He got to work at 7:42 am, and he was early by 13 minutes
He got to work at 20:42 pm, and he was early by 13 minutes
From home to the station took 18:47 - 18:05 = 42 minutes. The train journey took 37 minutes, so he got to New Town at 18:47 + 37 minutes = 19:24. He got to work at 19:24 + 18 minutes = 19:42. He was 19:55 - 19:42 = 13 minutes early
7 .
How many half hour periods are there in a day?
24 half hour periods
48 half hour periods
96 half hour periods
12 half hour periods
There are 24 hours in a day. Each hour has 2 half hour periods, so there are 24 × 2 = 48 half hour periods
8 .
How many revolutions (complete turns) does the second hand of a clock turn through in 1 day?
360 revolutions
60 revolutions
14,440 revolutions
1,440 revolutions
It goes round once for every minute. There are 60 minutes in an hour, so that's 1 × 60 = 60 revolutions an hour. There are are 24 hours in a day, so there are 24 × 60 = 1,440 revolutions in a day
9 .
Peter's watch is running fast and shows the time as 23:47. How many minutes does Peter's watch have to be wound back to show the correct time of 22:18?
It has to be wound back 29 minutes
It has to be wound back 90 minutes
It has to be wound back 89 minutes
It has to be wound back 98 minutes
Find out how fast it is running: this is the number of minutes that it has to be wound back. From 22:18 to 23:00 = 42 minutes. From 23:00 to 23:47 is 47 minutes, so the watch needs to be wound back 47 + 42 = 89 minutes
10 .
How many revolutions (complete turns) does the minute hand of a clock turn through in 1 minute?
3,600 revolutions
60 revolutions
1 revolution
None
The minute hand of a clock turns through one complete revolution in 1 hour. In one minute it turns through 1/60th of a revolution because there are 60 minutes in an hour
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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