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Converting Standard UnitsConverting measurements of length, area, volume, mass and time from one unit to another. 
This is level 6; Digital. You can earn a trophy if you get at least 9 correct and you do this activity online.
The SI value (for example 1 kB = 1000 bytes) is used in these questions rather than the binary value. Click the Help tab above for more information.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 



Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions. 
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." 
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Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.  
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Scan the QR code below to visit the online version of this activity.
https://Transum.org/go/?Num=520
These digital 'units of information' describe the capacity of standard data storage. You may have come across them when reading about the specifications of a computer or the speed of a wifi connection.
The basic unit is the byte (equal to eight bits) and is the amound of storage needed to store one character (a letter, punctuation mark or number).
The SI prefixes use powers of ten nearest the multiples of ten power of two of the binary values. The SI units make calculations much easier to do mentally.
Symbol  Name  SI value  Binary value  Size difference 

B  byte  8 bits  8 bits  
kB  kilobyte  10^{3} = 1000 bytes  2^{10} = 1024 bytes  2.40% 
MB  megabyte  10^{6} bytes  2^{20} bytes  4.86% 
GB  gigabyte  10^{9} bytes  2^{30} bytes  7.37% 
TB  terabyte  10^{12} bytes  2^{40} bytes  9.95% 
PB  petabyte  10^{15} bytes  2^{50} bytes  12.59% 
EB  exabyte  10^{18} bytes  2^{60} bytes  15.29% 
ZB  zettabyte  10^{21} bytes  2^{70} bytes  18.06% 
YB  yottabyte  10^{24} bytes  2^{80} bytes  20.89% 
Information from Wikipedia under the Creative Commons AttributionShareAlike License.
The SI value is used in the questions.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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