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Math Problem Solving & Investigation - Boundary Encounters Math Assessment

Timed 50-minute math investigation worth 50 marks, with 10 tasks that each deal with a boundary, from light bouncing off a surface to the perimeter of a fractal snowflake.
Grades
Grades 5–8, Elementary, Middle School
File type
PDF
Preparation
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Updated Oct 13, 2026

Topic
math assessment, math word problems
Resource types
Teacher Tools, Assessments
Preparation
Print ready

About this resource

What's inside this resource

This is a timed math assessment with 10 different tasks or problems to solve. Students will encounter different boundaries within math during this assessment, such as boundaries in sports or the perimeter of an object.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Apply Pick's formula to find the area of a polygon
  • Find the shortest path between two points on the surface of a cube
  • Calculate the perimeter of a fractal snowflake over successive stages

Teaching tips

  • One task is built on cricket scoring, so students unfamiliar with the sport may need its boundary rules explained before the timed start.

Skills covered

  • Angle reasoning — working out reflection and refraction angles for light
  • Pattern description — observing and describing an iterative pattern

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Resource details

Concepts & topics

Core concepts

  • Pick's formula
  • Reflection and refraction
  • Perimeter
  • Fractals
  • Shortest path

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