Chapter 13 — Mathematics and communication
401
Exercise 13C
1
13C
Complete the following.
a
2 KB =
B
b
4 MB =
KB
c
7 TB =
KB
d
3 TB =
MB
e
9 TB =
GB
f
6 MB =
B
g
B = 8 TB
h
i
B = 4 GB
j
2.5 TB =
MB
l
5.3 TB =
MB
b
2 097 152 KB =
GB
d
3 145 728 KB =
GB
f
8 388 608 KB =
MB
k
2
4.8 KB =
B
GB = 5 TB
Complete the following.
a
1024 B =
c
6 291 456 MB =
e
5 368 709 120 B =
g
KB
TB
GB
KB = 7168 B
h
TB = 3 221 225 472 MB
3
How many kilobytes are there in 2 gigabytes?
4
Madison has received a 50 KB file in JPEG format from a friend. How many files of this
size could she store on a:
a
1 GB USB flash drive?
b
500 MB MP3 player?
c
800 KB compact disc?
d
100 GB external hard drive?
5
A USB flash drive has 2.5 GB of video data. What is the total file storage (in gigabytes)
in the flash drive if the following files are added to the USB? Answer correct to
one decimal place.
a
330 MB
b
1200 MB
c
4000 MB
ISBN: 9781107627291
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402
Preliminary Mathematics General
Development
6
Complete the following. Answer correct to 4 decimal places when appropriate.
a
3072 B =
c
2048 KB =
e
b
4194304 MB =
MB
d
3.2 GB =
MB = 2056 KB
f
KB
TB
TB
MB = 7168 KB
7
Tyler brought a video camera
to the party and created 15 video
files with average file size 250 MB.
How much space (in MB) remains on
his hard drive if it has the following
storage capacity?
a
200 GB
b
50 TB
c
1 TB
d
10 000 MB
8
What is the difference in file storage between the following devices?
a
USB flash drive with a storage capacity of 4 GB and a compact disc with a storage
capacity of 800 MB. Give your answer to the nearest MB.
b
Hard drive with a storage capacity of 2 TB and an external hard drive with a storage
capacity of 300 GB. Give your answer to the nearest GB.
9
Order 200 MB, 0.002 TB, 2000 KB and 200 000 B in:
a
ascending order (smallest to largest)
b
descending order (largest to smallest).
10
Joel produces a 220 MB video file each day at work.
a
How many days will it take for the file storage to exceed a gigabyte?
b
How many days will it take for the file storage to exceed a terabyte?
11
A manufacturer claims that an 8 GB MP3 player holds 2000 songs.
a
What is the average file size (MB) of a typical song to the nearest whole number?
b
Do you think the manufacturer’s claims are correct? Give a reason for your answer.
ISBN: 9781107627291
© The Powers Family Trust 2013
Photocopying is restricted under law and this material must not be transferred to another party
Cambridge University Press
404
Preliminary Mathematics General
Exercise 13D
1
Complete the following.
13D
a
6 Mbps =
Kbps
b
2 Tbps =
Kbps
c
3 Kbps =
bps
d
5 Tbps =
Gbps
e
9 Tbps =
Mbps
f
7 Mbps =
bps
g
Gps = 7 Tbps
h
i
bps = 2 Tbps
j
2.1 Kbps =
bps
l
4.8 Tbps =
Mbps
b
9000 bps =
Kbps
d
8 000 000 Mbps =
f
5 500 000 000 bps =
k
2
7.3 Tbps =
Mbps
bps = 8 Gbps
Complete the following.
a
9 000 000 Kbps =
c
3000 Kbps =
e
4 780 000 Kbps =
Gbps
Gbps
Mbps
g
Kbps = 6 700 000 bps
i
Tbps = 3 200 000 000 Mbps
h
j
Tbps
Gbps
Mbps = 4900 Kbps
Kbps = 2400 bps
3
Search the internet to find an online data transfer rate converter to check your answers to
questions 1 and 2.
4
How many megabits per second are in 7 terabits per second?
5
A file is 8 000 000 bits in size. How many seconds would it take to download the file at
the following transfer rates?
a
2 Mbps
b
4 Kbps
c
8 Tbps
d
1 bps
e
20 Mbps
f
1000 Kbps
ISBN: 9781107627291
© The Powers Family Trust 2013
Photocopying is restricted under law and this material must not be transferred to another party
Cambridge University Press
Chapter 13 — Mathematics and communication
405
Development
6
Order 700 000 bps, 700 Mbps, 0.007 Tbps and 7000 Kbps in:
a
ascending order (smallest to largest) of speed
b
descending order (largest to smallest) of speed.
7
A 306 byte file is being downloaded from the internet.
a
How many bits make up this file? Assume 1 byte is 8 bits.
b
How many seconds would it take to download this file at 3 bps?
c
How many seconds would it take to download this file at 6 Kbps?
d
How many seconds would it take to download this file at 2 Mbps?
8
A 413 696 byte music file is being
downloaded from the internet.
a
How many bits make up this file?
Assume 1 byte is 8 bits.
b
How many seconds would it take
to download this file at 2 Kbps?
c
How many seconds would it take
to download this file at 8 Mbps?
9
Hayley has taken a 696 320 byte picture on her camera.
a
How many bits make up this file? Assume 1 byte is 8 bits.
b
How many seconds would it take to download this file at 50 bps?
c
How many seconds would it take to download this file at 34 Kbps?
d
How many seconds would it take to download this file at 40 Mbps?
10
How many seconds would it take to upload a 2.4 MB file if the transfer rate is 4 Kbps?
Answer correct to the nearest second. Assume 1 byte is 8 bits and 1 MB is 1024 KB.
11
Luke has a connection to the internet at a speed of 40 Mbps. What is the largest possible
file size (MB) that can be downloaded in the following time?
a
1 second
b
1 minute
c
1 hour
ISBN: 9781107627291
© The Powers Family Trust 2013
Photocopying is restricted under law and this material must not be transferred to another party
Cambridge University Press