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Grade 10 · Computer science

Grade 10 Computer science diagnostic

15 questions on digital literacy, algorithms & logic, data systems and data structures, plus 3 from Grade 9. Answer what you can, then check your answers to see which topics are secure and what to practise next.

15 questions4 topicsAbout 15 minutesSet 4 of 5

Skip a question if you do not know the answer. It is better than guessing, because it shows what to practise.

1Algorithms & logicConvert the binary number 1100101001 to decimal.
2Algorithms & logicFOR i FROM 6 TO 142 INCLUSIVE STEP 8: print i. How many numbers are printed?
3Algorithms & logicPython: values = [7, 11, 15]. What is values[1]?
4Data structuresA sorted array has 1048575 entries. Binary search always inspects a middle entry. What is the largest number of inspected entries for a successful search? Round the final result to 4 decimal places if needed.
5Data structuresA sorted array has 524287 entries. Binary search always inspects a middle entry. What is the largest number of inspected entries for a successful search? Round the final result to 4 decimal places if needed.
6Data structuresA sorted array has 3 entries. Binary search always inspects a middle entry. What is the largest number of inspected entries for a successful search? Round the final result to 4 decimal places if needed.
7Data systemsA 556 MB payload is sent over a constant 150 Mbps link. Use decimal MB and ignore overhead. Find transfer time. Round the final result to 4 decimal places if needed. Answer in s.
s
8Data systemsA 640 MB payload is sent over a constant 65 Mbps link. Use decimal MB and ignore overhead. Find transfer time. Round the final result to 4 decimal places if needed. Answer in s.
s
9Data systemsA 527 MB payload is sent over a constant 165 Mbps link. Use decimal MB and ignore overhead. Find transfer time. Round the final result to 4 decimal places if needed. Answer in s.
s
10Digital literacyHow many bits are in 8664 bytes?
11Digital literacyA file shrinks from 1380 KB to 1242 KB. What percentage of its original size was saved?
%
12Digital literacyA raw image is 14 × 41 pixels with 3 bytes per pixel. Ignoring headers and compression, how many bytes?

From Grade 9

These questions check skills from the grade below, so gaps can be spotted early.

13Digital literacy (Grade 9)An image is 390 pixels wide and 380 pixels high. How many pixels does it contain?
14Algorithms & logic (Grade 9)Using zero-based indexing, what is values[3] for values = [71, 15, 64, 92, 40]?
15Digital literacy (Grade 9)An image is 50 pixels wide and 70 pixels high. How many pixels does it contain?