Direct proof Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/discrete-math/direct-proof/quiz/

1. 1

   Prove the sum of two even numbers is even

   Answer: ____________________

2. 2

   Prove the product of two even numbers is even

   Answer: ____________________

3. 3

   Prove if n is even, then n² is even

   Answer: ____________________

4. 4

   Prove the product of two odd numbers is odd

   Answer: ____________________

5. 5

   Prove the product of an even number and an odd number is even

   Answer: ____________________

6. 6

   Prove if n is odd, then 5n + 1 is even

   Answer: ____________________

7. 7

   Prove the sum of two multiples of 7 is a multiple of 7

   Answer: ____________________

8. 8

   Prove if n is odd, then n² + n + 1 is odd

   Answer: ____________________

9. 9

   Prove the sum of two consecutive odd numbers is a multiple of 4

   Answer: ____________________

10. 10

    Prove the product of two multiples of 4 is a multiple of 16

    Answer: ____________________