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Oak National Academy
12 questions
Which of these is equivalent to (n+5)^2-(n+1)^2?
If n is an integer, which of these must be true for the expression 12n + 60?
Which is the correct first step for the proof that "the square of any even number is a multiple of 4"?
Which of these could be a general form for any 3 consecutive integers?
Which is the correct first step for the proof that "the product of any two multiples of 3 is a multiple of 9"?
Starting with the first step, arrange these steps so that they form a complete proof for "the sums of the squares of two odd integers is even", (assume n and m are integers).
Arrange these statements into the correct order to prove: "For any three consecutive even integers, the difference between the squares of the first and the last number is 8 times the middle number".
The first step to the proof "If n is an integer (n+6)^2-(n+2)^2 is a multiple of 8" is shown. Which is the correct next step?
Izzy wants to prove that (n+6)^2-(n+2)^2 is a multiple of 8 for any integer n. Which of these is equivalent to this expression?
The first step to the proof that "The product of any two multiples of 3 is a multiple of 9" is shown. What is the best next step?
Here are some steps to a proof Aisha is constructing. What do you think she is trying to prove?
Here are some steps to a proof Aisha is constructing. Why is this not a complete proof?
