Maths Club B

Challenge 2

There’s 20 walking dead coming up the street towards your house. You know you need to shoot the zombies in the head to kill them but you’re scared so your aim is off. This means there’s only a 60% chance of you killing a zombie with each shot. What’s the fewest number of shots you will to fire before you are certain to have killed them all?

A: 32.

B: 34.

C: 33.

D: 35.

Task

1)Work out the answer to the question, clearly showing all workings.

Justify your reasons using clear statements and mathematical language

2)State any assumptions you have made, or any limitations to your answer

3)What would the probability be of killing any given zombie if it took you only 27 shots to kill all of the zombies?

Challenge 1

You hear the first reports on the news that the dead have started to rise and attack the living. You knew this was going to happen and you’re ready. You grab your ‘bug out bag’ and a baseball bat before leaping into your car. The safe house you’ve been carefully preparing and provisioning for the last year is 74 miles away and if you drive fast enough you’ll be there in an hour at the most; then you’ll be safe. As you start your engine you glance at the fuel gauge and realise your room mate’s not only borrowed your car yet again without asking, but he’s also not topped up the tank so it’s only a quarter full. You know your tank holds 11 gallons when it’s full and your car does 27 miles to the gallon. What do you do?

A: I’ve got enough fuel to get there, so I’m leaving the city while I still can.

B: There’s not enough fuel left in the tank. I’ll need to get some more before I head off. It’ll be risky but at least I won’t end up stranded in the middle of nowhere when I run out.

Task

1)Work out the answer to the question, clearly showing all workings.

Justify your reasons using clear statements and mathematical language

2)State any assumptions you have made, or any limitations to your answer

3)Draw a linear graph for miles against gallons

1)Make a table of values 

2)Draw and label axis

3)Plot the and join together the points