# Brainteasers

11th February 2005 at 00:00
Puzzles to test mathematical skills, set by Anita Straker. Solutions below More brainteasers on www.tes.co.ukteacherbrainteasers

From home to school

If Mark increased his usual walking speed from 3 mph to 4 mph, he would save 10 minutes in walking from home to school.

How far is it from Mark's home to his school?

Doe-doe-ray numbers

Doe-doe-ray numbers are three-digit numbers made up of two identical digits followed by a different digit. For example, 339 is a doe-doe-ray number.

339

How many doe-doe-ray numbers are there between 100 and 1,000?

SOLUTIONS From home to school (age 10-14) 2 miles. The time to walk 1 mile at 3 mph is 20 minutes. The time to walk 1 mile at 4 mph is 15 minutes. The time saved in walking each mile is therefore 5 minutes. If a total time of 10 minutes is saved, the distance from home to school must be 2 miles.

Doe-doe-ray numbers (age 7-12) There are 81 doe-doe-ray numbers between 100 and 1,000.

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