plumiSorting and packing: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 1.2 Sorting and packing, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 12 questions on Sorting and packing, as a list
- June 2025, AS Modelling with Algorithms, Q2 (6 marks): The list below shows the sizes of eleven items. 28 25 19 32 18 22 3 12 20 7 5 (a) (i) Show the result of applying the first fit algorithm to pack items with the
- June 2024, Modelling with Algorithms, Q1 (5 marks): The values below represent the weights of eleven suitcases, in kg. 23 15 17 10 35 18 12 21 22 11 8 (a) Show the result of applying the first fit algorithm to pa
- June 2024, AS Modelling with Algorithms, Q2 (8 marks): The list below shows the sizes of nine items. 31 13 12 17 25 18 11 8 15 (a) Show the result of applying the first fit algorithm to pack items with the sizes lis
- June 2023, AS Modelling with Algorithms, Q3 (10 marks): The list below shows the sizes of 10 items. 17 15 18 9 23 20 14 12 25 11 (a) Use the quick sort algorithm to sort the list of numbers above into descending orde
- June 2022, Modelling with Algorithms, Q4 (5 marks): A list of n numbers is to be sorted into descending order using the quick sort algorithm. The number of comparisons made in each pass of the algorithm is used a
- November 2021, Modelling with Algorithms, Q1 (4 marks): The list below shows the sizes of 13 items. 5 16 12 15 21 10 17 5 3 6 13 24 5 (a) Show the result of applying the first fit algorithm to pack items with the siz
- November 2021, AS Modelling with Algorithms, Q2 (9 marks): The list below shows the sizes of eleven items. 15 4 23 16 2 12 14 11 20 13 22 (a) Show the result of applying the first fit algorithm to pack items with the si
- November 2020, Modelling with Algorithms, Q1 (7 marks): 12 15 11 9 20 16 8 23 10 7 (a) Apply the quick sort algorithm to sort the list of numbers into descending order. You should use the first value as the pivot for
- November 2020, AS Modelling with Algorithms, Q3 (8 marks): The list below shows the sizes of eight items. 32 37 25 18 34 27 15 30 (a) Show the result of applying the first fit algorithm to pack the items into bins that
- June 2019, Modelling with Algorithms, Q1 (11 marks): Fig. 1 shows a network. The weights on the arcs are distances. 35 D 25 A 4 6 17 9 E 11 G 6 8 13 13 7 B F 12 14 10 C 18 H Fig. 1 (a) Apply Dijkstra’s algorithm t
- June 2019, AS Modelling with Algorithms, Q1 (8 marks): 24 17 9 25 18 11 23 19 30 15 (a) Show the result of applying the first fit algorithm to pack items with the sizes listed above into bins that have a capacity of
- June 2018, AS Modelling with Algorithms, Q3 (7 marks): A list of n numbers is sorted by making passes through an algorithm as follows. The first pass consists of the following. Compare the first number and second nu
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