Monday, 5 June 2017

Franz Bongalon - Use a range of multiplicative strategies when operating on whole numbers - Assessment Task

Use a range of multiplicative strategies when operating on whole numbers

I can apply the strategy to problem solving questions




The escape

A prisoner sits in his cell planning his escape. The prisoner is kept in by 5 laser beams, which operate along a corridor. Each laser is switched off at a specific time interval for just long enough to allow a person to walk through. The time between being switched off for each laser is shown below:

  • Laser One = every 3 minutes
  • Laser Two = every 2 minutes
  • Laser Three = every 5 minutes
  • Laser Four = every 4 minutes
  • Laser Five = every 1 minutes

The guard patrols and checks the prisoner each time all the laser beams are off simultaneously. Because each laser only switches off for a short time the prisoner knows he can only get past one laser at a time. He has to get past the five lasers from 1 to 5 in order. Laser One is at the entrance of the prisoner’s cell and laser Five is at the door to the outside. He also knows that if he spends longer than 4 minutes 12 seconds in the corridor an alarm will go off.

Can the prisoner escape without the alarm in the corridor going off?
Yes and all the lasers turn off 1 hour

If he can escape, how many minutes should he wait before passing Laser One?

He has to wait for 3 minutes

How much time will he have after passing Laser Five before the guard raises the alarm?

9 minutes

No comments:

Post a Comment