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A programmer has written an algorithm to output a series of numbers - OCR - GCSE Computer Science - Question 2 - 2018 - Paper 1

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A programmer has written an algorithm to output a series of numbers. The algorithm is shown below: for k = 1 to 3: for p = 1 to 5: print (k + p) nex... show full transcript

Worked Solution & Example Answer:A programmer has written an algorithm to output a series of numbers - OCR - GCSE Computer Science - Question 2 - 2018 - Paper 1

Step 1

Give the first three numbers that will be printed by this algorithm.

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Answer

To determine the first three numbers printed by the algorithm, we need to analyze the nested loops:

  1. When k = 1, the inner loop will execute 5 times with p values ranging from 1 to 5:
    • When p = 1: print(1 + 1) → 2
    • When p = 2: print(1 + 2) → 3
    • When p = 3: print(1 + 3) → 4
    • When p = 4: print(1 + 4) → 5
    • When p = 5: print(1 + 5) → 6

The first three outputs will be: 2, 3, and 4.

Step 2

State how many times line 03 will be executed if the algorithm runs through once.

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Answer

Line 03 executes for each iteration of the inner loop. Since k ranges from 1 to 3 (3 iterations) and p ranges from 1 to 5 (5 iterations), the total number of executions of line 03 is:

Total Executions = 3 (values of k) * 5 (values of p) = 15.

Step 3

Identify two basic programming constructs that have been used in this algorithm.

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Answer

  1. Sequence - The algorithm follows a linear sequence of steps.
  2. Iteration - The use of 'for' loops to repeat a block of code.

Step 4

Describe what is meant by a variable.

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Answer

A variable is a symbolic name associated with a memory location that can hold data. It allows programmers to store and manipulate values during program execution. The value assigned to a variable can change throughout the execution of the program.

Step 5

Identify two variables that have been used in the algorithm above.

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Answer

  1. k
  2. p

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