Shape patterns

Question 1

Which statement best explains why every number you get when you start at 2 and keep adding 4 is even?

Accepted Answer

Each time you add 4, you are adding two even numbers together, and the sum of two even numbers is always even.

Answer

Adding 4 makes the number larger, and larger numbers are always even.

Answer

Since you start with 2, which is even, adding any number keeps it even.

Answer

The number 4 is a multiple of 2, so every time you add it you are adding a pair of ones, which makes the result odd.

Question 2

Liam writes a number pattern that starts with 2. Each new number is found by adding the same amount to the previous one, and the pattern begins: 2, 7, 12, … What statement is always true about every number in Liam’s pattern?

Accepted Answer

The numbers alternate between even and odd.

Answer

All of the numbers are even.

Answer

All of the numbers are odd.

Answer

Every number is a multiple of 5.

Question 3

If you start with the number 1 and keep adding 3 each step, which statement is always true about the numbers you get?

Accepted Answer

The numbers alternate between odd and even.

Answer

All the numbers are odd.

Answer

Every number is a multiple of 3.

Answer

Each new number is 2 more than the previous one.

Try three questions

Which statement best explains why every number you get when you start at 2 and keep adding 4 is even?

Liam writes a number pattern that starts with 2. Each new number is found by adding the same amount to the previous one, and the pattern begins: 2, 7, 12, … What statement is always true about every number in Liam’s pattern?

If you start with the number 1 and keep adding 3 each step, which statement is always true about the numbers you get?

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