Brainteasers

9th September 2005 at 01:00
pt = Lucky for some Jason went bowling. He knocked down three of these pins. He scored 13. How did he do it? Find all the different ways.

pt = Crack the code

Each letter in these calculations stands for a digit: AB x CD = EEE E x CD - AB = CC

What is the value of: AB x D

SOLUTIONS Crack the code (ages 10-14): AB x D = 74. EEE must be a multiple of 111, which is 37 x 3. So either AB or CD is 37, and the other number must be a two-digit multiple of 3 (12, 15, 18, 21, 24 or 27). Trying the possibilities systematically shows that if AB = 37 and CD = 12, then ExCD- AB is 4 x 12 - 37 = 11. So D is 2 and AB x D = 74.Lucky for some (ages 5-7): The pins must be different since there is only one of each number.

There are six different ways to score 13: 8, 4, 1; 8, 3, 2; 7, 5, 1; 7, 4, 2; 6, 5, 2; 6, 4, 3.

Subscribe to get access to the content on this page.

If you are already a Tes/ Tes Scotland subscriber please log in with your username or email address to get full access to our back issues, CPD library and membership plus page.

Not a subscriber? Find out more about our subscription offers.
Subscribe now
Existing subscriber?
Enter subscription number

Comments

The guide by your side – ensuring you are always up to date with the latest in education.

Get Tes magazine online and delivered to your door. Stay up to date with the latest research, teacher innovation and insight, plus classroom tips and techniques with a Tes magazine subscription.
With a Tes magazine subscription you get exclusive access to our CPD library. Including our New Teachers’ special for NQTS, Ed Tech, How to Get a Job, Trip Planner, Ed Biz Special and all Tes back issues.

Subscribe now