MathsFreePrintable
Wairaka Art Geometry
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Wairaka Art Geometry
Create a geometric artwork inspired by the courage and leadership associated with Wairaka. Use the maths in each task to plan a repeating border or tile. Your design is your own contemporary artwork, not a copy of a traditional pattern.
Plan the geometry
Use these calculations to make your design accurate.
1.A tile in the border is a quadrilateral. What is the sum of its interior angles? Explain briefly how you know.
2.Three angles in a quadrilateral tile are 82°, 95° and 108°. Calculate the fourth angle.
3.A triangular motif has angles of 47° and 68°. Find its third angle.
4.An artist enlarges a pattern by a scale factor of 2. Choose the correct set of changes.
- Side lengths double, area quadruples, and angles stay the same.
- Side lengths quadruple, area doubles, and angles double.
- Side lengths double, area doubles, and angles stay the same.
- Side lengths stay the same, area quadruples, and angles halve.
5.A motif has an area of 18 cm². What is its area after an enlargement with scale factor 2? State the area scale factor too.
Transform and repeat
Describe transformations precisely, then use them to build your own tile.
6.Point A is at (2, 1). It is translated 4 units left and 3 units up. What are the coordinates of its image, A′?
7.A point (3, −2) is rotated 90° anticlockwise about the origin. What are its new coordinates?
8.Sketch a triangle and its reflection in a vertical mirror line. Label one matching pair of corresponding vertices. Then write one property that is preserved by reflection.
Draw a tile for a border that could represent courage or leadership. Include at least three types of 2D shape and show a translation, a reflection and a rotation. Mark or label each transformation so another person can identify it.
9.Explain how one transformation in your tile helps create a repeating pattern. Name the transformation and describe exactly what happens to one motif.
2 printable pages
Page 1
Page 2
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
