MathsFreePrintable

Classifying Triangles and Pyramids

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.

Classifying Triangles and Pyramids worksheet preview
Name:Date:

Classifying Triangles and Pyramids

At a dinosaur dig, Mele, Aisha and Talia are checking shapes for a small museum display. Use side lengths and solid-shape properties to solve their challenges. Show your reasoning where asked.

Triangle field notes

Classify triangles by their side lengths: equilateral has three equal sides, isosceles has at least two equal sides, and scalene has no equal sides.

1.A fossil tag lists a triangle’s side lengths as 7 cm, 7 cm and 7 cm. How should the triangle be classified by its sides?
  • Equilateral
  • Isosceles only
  • Scalene
  • It is not a triangle
2.A triangular display frame has side lengths 5 cm, 5 cm and 8 cm. Classify it by its sides and explain the clue you used.
3.Which set of lengths describes a scalene triangle?
  • 4 cm, 4 cm, 4 cm
  • 6 cm, 6 cm, 9 cm
  • 5 cm, 7 cm, 8 cm
  • 3 cm, 3 cm, 6 cm
4.A triangle has side lengths 4 cm, 4 cm and 6 cm. True or false: it is both isosceles and scalene.
TrueFalse
5.The team has a triangle with sides 6 cm and 10 cm. Its third side is a whole number of centimetres. Give one possible length that makes the triangle scalene.

Pyramid inspection

A pyramid has one polygon base and triangular side faces that meet at a single apex. Count the base when finding its faces.

6.Mele counts the faces of a triangular pyramid. How many faces should she record?
7.A square pyramid has a square base and four triangular side faces. How many faces, edges and vertices does it have?
8.A pyramid’s base has 6 sides. How many triangular side faces does it have, and how many faces are there altogether?
9.Complete the rule for a pyramid with an n-sided base: number of vertices = + 1; number of edges = × 2.
10.Aisha says, “Every pyramid has a square base.” Is she correct? Explain using the definition of a pyramid.
11.Compare a triangular pyramid with a square pyramid. State one difference in their bases and give the faces, edges and vertices for each.

2 printable pages

  • Classifying Triangles and Pyramids, page 1 of 2: Triangle field notes

    Page 1

  • Classifying Triangles and Pyramids, page 2 of 2: Pyramid inspection

    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