Problem 105: Orienteers

Two orienteers start running from the same point with bearings of 050 and 210 degrees respectively.

After 23 minutes they covered the same distances. The distance between them at this time is 9 km. What is their average speed?

Problem 104: Arithmetic and Geometric Sequences

The general formulae for geometric and arithmetic sequences.

The 1st, 5th and 17th terms of an arithmetic sequence are the first three terms of a geometric sequence. Both sequences start from 8. 

Which term of the arithmetic sequence will be equal to the 4th term of the geometric sequence?

Problem 103: Tangent x

Resource and solutions: MathCeyhun

Problem 102: Trigonometry Length and Angle Calculations

Problem 101: Circle in the Triangle

Source: @ariya_7213

Problem 100: Cosine Rule Exercise

Rich Tasks 47: A Picture is Worth Thousand Words

Formative Assessment: Visual Analysis of a Problem

  Image Credits: Morrowind/Shutterstock

Students are given a math problem. In this formative assessment, their task is to answer a problem with visuals (graphs, diagrams, pictures, tables, figures or anything you want).

Student Instructions:

• Analyze the problem well, understand what you are looking for.
• Make a visual to represent the problem. The visual can be your own drawing, images from the Internet or a combination of both. Colouring is optional, but consider the appearance of the poster.
• Develop a solution method.
• Explain your work with sentences.
• Show all steps of your calculations even though you use a calculator.
• Solve the problem in such a way that a regular educated person can understand the solution.
• Make sure you include the text of the problem in your poster.
• Use an A4 or a larger sized-paper.

Math Pics 13: Normal is Overrated

Math Pics 12: Pythagoras Theorem

Source: What's Your Angle Pythagoras? by Julie Ellis

Problem 99: Yellow Circle Question

source Diego Rattagi