Stage 9 - Q1 - 2 marks
Use decimal storage units: 1 GB = 1000 MB, 1 MB = 1000 kB. Convert \(7\) GB to MB.
Hint
Use the convention printed in the question.
Stage 9 - Q2 - 2 marks
Convert \(8\) micrometres to mm.
Hint
Expand the prefixes as powers of ten.
Stage 9 - Q3 - 2 marks
Use binary units: 1 MiB = 1024 KiB. Convert 4 MiB to KiB.
Hint
Binary units here use 1024, as stated.
Stage 9 - Q4 - 3 marks
Compare \(\frac{9}{2}\) km and 4700 m. State the longer length and the difference.
Hint
Express both lengths in one unit.
Stage 9 - Q5 - 3 marks
A model vehicle travels at \(\frac{17}{2}\) cm/s for 16 s. Find the distance in metres.
Hint
Check that the time units match the rate.
Stage 9 - Q6 - 3 marks
Use decimal units: 1 GB = 1000 MB. A drive has 5 GB free; each file is 175 MB. Find the maximum complete files, ignoring overhead.
Hint
A partial file does not count.
Stage 9 - Q7 - 4 marks
Compare 4 GB with 4 GiB using 1 GB = 1000 MB and 1 GiB = 1024 MiB, 1 MiB = 1.048576 MB. Find the difference in MB.
Hint
Do not compare the numeric prefixes without matching the base unit.
Stage 9 - Q8 - 4 marks
A circle has radius \(\frac{7}{2}\) cm. Find its area in square metres to 6 d.p.
Hint
Area conversion squares the length conversion factor.
Stage 9 - Q9 - 4 marks
A microscopic segment is 200 nm long. Find the length in metres of 2,200,000 segments placed end to end.
Hint
Keep powers of ten until the last step.
Stage 9 - Q10 - 5 marks
Challenge: Use decimal units: 1 GB = 1000 MB. A 5 GB device stores 200 MB recordings. At \(\frac{7}{2}\) MB/s, how long to transfer the maximum whole recordings? Give whole minutes and remaining seconds to 2 d.p.
Hint
Transfer the stored files, not unused space.