Super Challenge/Kua takoto te Manuka

Question - Monday

Each day, Monday to Thursday there will be one tricky question for you to answer.  The answer will be a number.

Students will need to record their daily answers.

On Friday, students can submit their Super Challenge daily answers, and the total of the daily answers, and submit them online.

If this total is correct, they will get a link to a page where they can fill in their name and school. Students can then print out their Maths Week Super Challenge

Certificate. The student’s school will also get a notification of their success.

If the total is incorrect, a message comes up to tell the student. The student can then go back, change an answer, and re-submit it. If the total is then correct, the student will get the Maths Week Super Challenge Certificate.

The answers to the Super Challenge questions will be available to teachers after the end of Maths Week.

Monday

A rectangular paddock measures 270 m by 210 m.  A harvester is working in the paddock.  The blades of the harvester are 3 m wide (allowing for a small overlap between mown and unmown strips when working).  The harvester starts in a corner of the paddock.  It works parallel to a side of the, paddock and then turns 90˚ to work parallel to an adjacent side, then turns 90˚ to work parallel to the next side of the paddock, and so on until the paddock is mown without cutting any part twice. 

How many kilometres does the harvester travel to mow the compete paddock (ignoring any distances travelled when turning)? 

Give your answer to the nearest kilometre. Don’t include the km when submitting your answer.