# Theme Park Maths: Carnival Games

The children in 5SH Maths have been asked to open a Theme Park. Each week they’re going to do new tasks to get it ready for opening. This week was their sixth week so they needed to start thinking about money making attraction. They started by thinking about how likely or unlikely something was, if there was an equal chance, or if it was certain or impossible. Next, they thought about carnival games like hook a duck and knowing down tins and tried to make the events more likely for less likely.

Harry and Shrey:

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No Name:

Anikesh

I decided to use simple dice so it would be a basic game.I then came up with a simple adding game when you throw 2 green dice.I then decided that my probability is 9:391 after calculating that 20*20 equals 400 and I did that because 10 numbers per dice then 2 dice equals 20 numbers so then when we are at 400 we take away nine because there are nine chances.After playing 10 times I won 3 games so the probability is a lot different.I then decided it should be 3:10 win:loss.To make the game harder I would add a third dice and throw it at a different time and it will be negative.To make the game easier I would give three turns instead of one.I had thought that to make it easier I could also give a chance to get the extra numbers they need by tossing a yellow dice 3 times and add it to the other numbers.

Elsa theme park maths!!!!!!!

We discussed that there is an equal chance of succeeding and failing because  if you are good at aiming you are likely to knock some tins over if not you are likely to miss or knock some over it’s all about how you throw.
To make the game easier you would position the cones  in a place where the middle is the weak point  and any soft throw would knock it over you could also you could change the shape to a square shape.To make it harder you can change the shape to a circular shape.
The  rules would be” throw a ball and try to knock as many tins as you can in the square !” The second rule would be “try your hardest to knock over the tins in the shape of a circle it is very difficult try aim for the middle you are likely to knock them over because that is the weak point,”. We played the game and the rules worked! First we played the easy game and we knocked it over 8 times out of ten I then predicted that I was less likely to get 8 out of ten on  the harder game. I played the harder game game and got 9 out of ten it isn’t impossible but you  are less likely to get a higher number.
You are more likely to knock over more tins in an easier game than a harder game because me and my partner Eliza tested  different things with the tins and tested out probability we found out the more cones you have in some occasions  you are less likely to knock it over and with less tins you are more likely to knock them down.

. You are less likely to knock it down with 10 tins
. If you likely to knock over more with 3 ball 🙂

Eliza

Hannah D

No Name:

It is not very easy to win because you have to guess the numbers and get 10 but you cannot look at the numbers.the ways to win are 5 ,2 and 3 or 5,4 and 1.
It is very easy because you can choose a number twice.the ways to win are 4,4 and 2 or 3,3 and 4.
It would be harder if we had to make 12 because it would be harder to reach the total
.i think it would be easier if we had ducks 1 to 8 because we have a better chance of getting close.
I think it would be harder to get 50 even with the multiples because we have to reach a higher score.altogether it is all possible but still quite varied on the numbers and limit. You can change the game by adding bonuses such as auto win and another duck.

I think it would be harder to get 50 even with the multiples because we have to reach a higher score.altogether it is all possible but still quite varied on the numbers and limit. You can change the game by adding bonuses such as auto win and another duck. I learnt how to equal chances.

Amaans maths probs
1.
A)it is easy because you can let another person have a go and you can see there numbers so you have a better chance.
B)two ways because you can get 5+2+3=10 also 5+4+1=10
2.
A)not that easy because you have to remember the numbers and then add them together.
B)two ways because 5+2+3=10 also 5+4+1=10

3.
A) it is harder because there are five numbers and there’s only one combination so the possibility is 1:5.
3.
B)I think it would be easier because there will be more combinations and it would be likely to get numbers that add up to ten.
3.
C)I think it would be harder because there is a bigger number but also easier because there are more numbers.

Vrinda and Neha:

Hook a duck

1) It would be an  75 % chance of getting an odd number and 25 % to get an even.

Our prediction is that when you get a 10, 2 of the numbers will be odd and one is even-5,1,4 and 2,3,5.

2) it is easier now because once you have picked 2 there is a 1 in 3 chance instead of a 1 in 5 chance so it is more likely.

3) A: Harder because you will need bigger numbers so it is less likely.
B: Easier because you need smaller numbers and if you can make 10 you can make 8 which is more likely.
C: More likely because 50 is in the 5x tables.
D: if you set the game to get an odd number and set out even numbers it would be impossible!

4) Set the game to get 12 to win and lay out 6 ducks from 1 to 6 numbers on the bottom so the chances are equal.

Hannah R:

Evan

First you need to pick 3 ducks out of the water and try and make 10
After you have picked 2 of the 5 ducks there is a 1 in 3 chance you will get the number you need to reach the max score of 12.
Eg if I pick a 3 and then a 4 there is a 1 in 3 chance I will get a 5 due to there only being 3 ducks left to choose from and you can only pick 1 more duck.

There are   many ways of making 10
1a 10
1b 13
1d 11
1e 10
1.Its a 1 in 5 chance to a 1 in 3 chance that you will get 10 you will get 10 because you can get higher or lower than 10.

I worked this out because I did 4 goes and got 10 on the first and last one.
2a. 9
2b. 10

Prakriti

1.This activity involves probability because when you throw the ball you have to guess how many cups are going to fall.
For example: There are 6 cups and 3 fall over then the probability is 1/2.

2. If the stack is smaller then it will be easier but if you make the stack bigger then it will be harder. If you also use more balls it will be easier but if you use 1 ball and it is a bigger stack then it will be harder

3.I am 100% sure that I understand the rules.

4.We have been successful with the harder one because there are 6 cups and we knocked over at least 3 or more cups.(Equal chance)
4b.we have been successful with the easier one because there are 10 cups and we knocked over at least more than half.

Bethany hook a duck
1.10
2.9
3.10
There is a10% chance you will win.Because there are only the numbers 1-5 so you may only get the numbers 1 2 3.
It is More likely for you to win when you pick a duck up and put it back before picking another one up because you may pick up 5 twice.

Giovanni hook a duck

There is a 25% to 50% chance of winning unless you are lucky.

I worked this out because I did 4 goes and got 10 on the last one.

I think it would be harder to get 12 because there’s only 2-8 combinations to get it.

I think it would be harder with 8 ducks numbered 1-8 because you have more chance of getting over 10.

Isobel

The probability of knocking over all of the 6 cups with 1 ball has a 1 in 6 chance. I don’t think that there is an even chance of succeeding . To make it harder you could go further away. The distance makes a difference because the further away you are the harder it is to aim correctly and the hit hardly.
To make the game easier you could go closer or make it bigger. To make it harder you can go further away or make the target smaller. You could change the distance and the size and shape.
Using the easier game that we thought of, we hit 7 down out of ten. Ratio 7:3. It was more probable that we were going to hit them all down then not.
You would be more likely to win if you had 10 cups because they would be less stable. If you had three balls and you could only throw one at a time, it would be probable that you would win because you would have more chances. If you have 55 tins but you only had to knock over 28 , it would be less likely that you would win because 55-28=27 and it isn’t extremely likely that you would knock over half.

Margot
The probability  of knocking over all the 6 cups with one ball is 1 in 6 chance.
To make it harder you could increase the distance between the thrower and the target. And to make the game easier you could decrease the distance.You could change the distance the size and how the target is placed. When we had ten goes we hit 7 times and knocked them all over and we missed 3 times so that is a ratio of 7:3. When it is the easy version it is more likely that you will hit all of them over. If you had ten tins it would be more likely you hit the tins because it is bigger.
We’ll of you had three balls you would have more chance of hitting the tins but if you threw them at the same time you would have even more chance. If you had 55 tins and needed to knock 28 to win it would be less likely because 55-28=27 so you have to knock over more than half so it would be less likely.

Agrima

1.This activity involves probability because when you throw the ball it will hit some tins and the tins will fall so you can find out the probability of how many tins fall down.
Like: There are 6 tins 4 fall over so the probability will be 4:6 which is 4/6.
2. You can make a smaller one to make it easier and a bigger one to make it harder. You can also use more balls to make it easier and fewer balls to make it harder.

3. I am 100% sure that I understand the rules.

4. We have been successful with the harder one because there are 6 cups and we knocked over at least 3 or more cups.

4b. We have been successful with the easier one because there are 10 cups and we knocked over at least more than half.

Davleen:

Morgan hook a duck
1.10
2.10
3.9
4.9.
5.12
6.9
7.10
8.6
First you need to pick 3 ducks.after you have picked 2 of the 5 ducks,there is a 1 in 3 chance you will get the number you need to help you reach the max score of ,12e.g if I pick a 3 and then a 4 there is a 1 in 3 chance I will get a 5 due to there only being 3 ducks left to pick.

Shannon