GCSE Maths - How to Disprove a Statement by Counter Example - Proof Part 1 #62

The video tutorial explains how to disprove statements using counterexamples. It covers three examples: disproving that all prime numbers are odd, disproving that the difference between two prime numbers is always even, and disproving that all square numbers end in 1, 4, 6, or 9. The tutorial emphasizes understanding the concept of counterexamples and applying it to various types of questions.

Which number disproves the statement that all prime numbers are odd?

• 2

• 5

• 7

• 3

What is the difference between the prime numbers 2 and 5?

• 3

• 4

• 2

• 5

Why is the statement 'the difference between two prime numbers is always even' generally true?

• Because prime numbers are always odd

• Because the difference between two odd numbers is even

• Because all prime numbers are even

• Because prime numbers are always consecutive

Which square number disproves the statement that all square numbers end in 1, 4, 6, or 9?

• 25

• 49

• 16

• 36

What is the last digit of the square number 25?

• 5

• 9

• 1

• 4