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Grade 12 Recursion Worksheet with Answers

Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Computer Science

Unit 1: AlgorithmsRecursion

Tracing recursive functions like factorial, Fibonacci and sums, and counting calls. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Recursion

Grade 12 · Computer Science

Score___ / 12

Name

Class

Date

Learning goal: Recursion

Directions: Read each question carefully and write your answer on the line. Use the diagram to help you.

RememberRecursion

fact(3)3 × fact(2)fact(2)2 × fact(1)fact(1)base case: 1Unwind2 × 1 = 2, 3 × 2 = 6
  1. 1

    What does this program print?

    1def p(b, e):2if e == 0:3return 14return b * p(b, e - 1)56print(p(2, 3))
  2. 2

    What does this program print?

    1def s(n):2if n == 0:3return 04return n + s(n - 1)56print(s(9))
  3. 3

    What does this program print?

    1def fact(n):2if n == 1:3return 14return n * fact(n - 1)56print(fact(3))
  4. 4

    What does this program print?

    1def p(b, e):2if e == 0:3return 14return b * p(b, e - 1)56print(p(2, 5))
  5. 5

    What does this program print?

    1def fact(n):2if n == 1:3return 14return n * fact(n - 1)56print(fact(4))
  6. 6

    What does this program print?

    1def p(b, e):2if e == 0:3return 14return b * p(b, e - 1)56print(p(3, 3))
  7. 7

    What does this program print?

    1def s(n):2if n == 0:3return 04return n + s(n - 1)56print(s(7))
  8. 8

    What does this program print?

    1def fact(n):2if n == 1:3return 14return n * fact(n - 1)56print(fact(6))
  9. 9

    What does this program print?

    1def s(n):2if n == 0:3return 04return n + s(n - 1)56print(s(6))
  10. 10

    What does this program print?

    1def fact(n):2if n == 1:3return 14return n * fact(n - 1)56print(fact(5))
  11. 11

    What does this program print?

    1def p(b, e):2if e == 0:3return 14return b * p(b, e - 1)56print(p(3, 4))
  12. 12

    What does this program print?

    1def s(n):2if n == 0:3return 04return n + s(n - 1)56print(s(8))

★ Challenge corner for fast finishers

In a list of every 2-bit pattern, how many patterns have exactly one 1?

21

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/computer/12/recursion

Answer key (click to show)
  1. 1.8
  2. 2.45
  3. 3.6
  4. 4.32
  5. 5.24
  6. 6.27
  7. 7.28
  8. 8.720
  9. 9.21
  10. 10.120
  11. 11.81
  12. 12.36
  13. ★2 (challenge corner)

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