Number 3
2 marks · NormalA student says, 'All even numbers greater than 2 are composite.' Is this statement true? Explain why.
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True; all even numbers greater than 2 can be divided by 2 so have more than two factors.
Also accept: Yes, because every even number above 2 is divisible by 2 and another number.
Common mistakes: Saying 2 is composite; Not explaining divisibility
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Marking points
B1 · 1 mark · States the statement is true/all even numbers above 2 are composite.
B2 · 1 mark · Correctly explains that all even numbers above 2 can be divided by 2 as well as 1 and itself.
Worked solution
Yes, this is true. All even numbers greater than 2 are divisible by 2 and some other number besides 1 and themselves, so they have more than two factors and are composite.