Maths Quiz - Time (Difficult) (Answers)
In this 11-plus Maths quiz, you'll do a few calculations involving different measures of time. Spend some time reading the questions carefully and see if you can get 10 out of 10. You should do the previous quizzes before you do this quiz.
Just as we have words to describe large amounts of time, we also have words for very small amounts of time. You might think that a second is the tiniest amount of time, but you'd be wrong. There are milliseconds, microseconds and even nanoseconds. Do you know what the smallest measurable unit of time is called? It's called Planck time, named after the German physicist Max Planck.
Anyway, you won't be learning about such extremes of times in your 11-plus, so let's concentrate on this quiz.
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There are 60 seconds in 1 minute, 60 minutes in 1 hour, and 24 hours in a day: 60 × 60 × 24 = 86,400 seconds
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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
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18:47 to 19:00 is 13 minutes. 19:00 to 19:23 is 23 minutes. The total time = 13 + 23 = 36 minutes
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A decade is 10 years. There are 12 months in a year, so that's 10 × 12 = 120 months
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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
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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
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There are 24 hours in a day. Each hour has 2 half hour periods, so there are 24 × 2 = 48 half hour periods
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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
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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
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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
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