The Advanced Mathematics Support Programme 2018 Problem Solving Competition - Questions Name: ______________________________________________ School: ______________________________________________ You are asked to make flags for an event. The attending nations are Nepal, Japan, Czech Republic, South Korea, Bahrain, Bangladesh, and the Philippines. They all require three things of their flags. 1. They must be mathematically accurate. 2. They must all be 1.2m in height. (You can ignore the blue border when calculating the height of the Nepalese flag.) 3. Each piece of a single colour must be a single piece of fabric (i.e. cannot be made of multiple pieces of fabric put together). The fabric you use is on a roll of 2.4m wide. You notice you only have 2m left on the roll of RED material. In your answers, please use the correct units and, where appropriate, give your answer to two decimal places. 1. What flags can you make to produce the least wasted material and how much material is wasted? 2. What length of additional material would you need to make the remaining flags? 3. What is the smallest length of this fabric that would allow you to make all the flags of this 1

MEI Industry Programme Leaderfurthermaths.org.uk/docs/2018-problem-solving... · Web view2018 Problem Solving Competition - Questions Name: _School:_ You are asked to make

Download DOCX Report

Upload
duongdan
View
213
Download
0

Embed Size (px)

Citation preview

The Advanced Mathematics Support Programme

2018 Problem Solving Competition - QuestionsName: ______________________________________________

School: ______________________________________________

You are asked to make flags for an event. The attending nations are Nepal, Japan, Czech Republic, South Korea, Bahrain, Bangladesh, and the Philippines.

They all require three things of their flags.1. They must be mathematically accurate.2. They must all be 1.2m in height. (You can ignore the blue border

when calculating the height of the Nepalese flag.)3. Each piece of a single colour must be a single piece of fabric (i.e.

cannot be made of multiple pieces of fabric put together).

The fabric you use is on a roll of 2.4m wide. You notice you only have 2m left on the roll of RED material.

In your answers, please use the correct units and, where appropriate, give your answer to two decimal places.

1. What flags can you make to produce the least wasted material and how much material is wasted?

2. What length of additional material would you need to make the remaining flags?

3. What is the smallest length of this fabric that would allow you to make all the flags of this size?

The closing date for the competition is 1st February 2019.