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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 1 of 5

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

1Algorithms & logicAn outer loop runs 26 times. Each time, an inner loop prints once on each of 25 iterations. How many prints occur?
2Algorithms & logicFOR i FROM 7 TO 135 INCLUSIVE STEP 8: print i. How many numbers are printed?
3Algorithms & logicConvert the binary number 1101111000 to decimal.
4Data structuresA sorted array has 262143 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 8191 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 7 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 384 MB payload is sent over a constant 145 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 318 MB payload is sent over a constant 80 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 796 MB payload is sent over a constant 10 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 literacyA file shrinks from 1540 KB to 847 KB. What percentage of its original size was saved?
%
11Digital literacyA raw image is 151 × 177 pixels with 1 bytes per pixel. Ignoring headers and compression, how many bytes?
12Digital literacyWhich approach respects users sensitive to motion?

From Grade 9

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

13Digital literacy (Grade 9)An image is 70 pixels wide and 210 pixels high. How many pixels does it contain?
14Algorithms & logic (Grade 9)Start with total = 42. Repeat 3 times: add 5 to total. What is the final total?
15Digital literacy (Grade 9)An image is 160 pixels wide and 350 pixels high. How many pixels does it contain?