Question

The rule for a repeating pattern is "circle, diamond, sphere, circle, square." Use the drop-down menus to complete the phrase.

To find the thirty-second shape of the pattern,
Choose
32 by
Choose
. The remainder is
Choose
making the thirty-second shape a

Answer 1

To find the thirty-second shape of the pattern, we first need to determine the length of the repeating sequence:

The repeating pattern is: "circle, diamond, sphere, circle, square". This has 5 shapes.

Now, we can find the thirty-second shape by calculating:

1. Divide 32 by 5:
\[
32 \div 5 = 6 \text{ remainder } 2
\]
This means that when we divide 32 by 5, we get 6 complete cycles of the pattern with a remainder of 2.

2. The remainder tells us which shape corresponds to the thirty-second position in the sequence:

- A remainder of 1 corresponds to the first shape: circle
- A remainder of 2 corresponds to the second shape: diamond
- A remainder of 3 corresponds to the third shape: sphere
- A remainder of 4 corresponds to the fourth shape: circle
- A remainder of 5 corresponds to the fifth shape: square

Since the remainder is 2, the thirty-second shape is a **diamond**.

Final answer:
To find the thirty-second shape of the pattern, **choose** 32 **by** 5. The remainder is **2** making the thirty-second shape a **diamond**.