Looking at the worksheet, we need to solve problems 5 and 6.
Problem 5:
The pattern shown is: purple diamond, yellow diamond, purple diamond, yellow diamond, purple diamond, yellow diamond...
This is a repeating pattern — it alternates between two shapes.
The last shape shown is a yellow diamond.
So the next shape should be a purple diamond.
Problem 6:
The pattern is described as: “a pattern unit of two squares, two rectangles, and one triangle”
Let’s break that down:
- Two squares (let’s say red)
- Two rectangles (let’s say blue)
- One triangle (let’s say green)
So the full repeating unit is: □ □ ■ ■ ▲ (using symbols for simplicity)
That’s 5 shapes per unit.
We want to find the 15th figure.
Since each unit has 5 shapes, we divide 15 by 5:
15 ÷ 5 = 3 → exactly 3 full units.
That means the 15th figure is the LAST shape in the 3rd unit.
In each unit, the last shape is the triangle.
So the 15th figure is a triangle.
Double-check:
Unit 1: positions 1–5 → ends with triangle (position 5)
Unit 2: positions 6–10 → ends with triangle (position 10)
Unit 3: positions 11–15 → ends with triangle (position 15)
Yes, correct.
Final Answer:
5) purple diamond
6) triangle
Parent Tip: Review the logic above to help your child master the concept of repeating patterns worksheet.
