# Decision Making UKCAT shape equations.

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Hello Everyone,

I am studying for the UKCAT and I am struggling to understand the shape equations for decision making section. Is there any youtube tutorial or online forum explaining how to tackle those questions.

Thanks

I am studying for the UKCAT and I am struggling to understand the shape equations for decision making section. Is there any youtube tutorial or online forum explaining how to tackle those questions.

Thanks

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#5

I think i got it! Its a very complicated (well for me anyway, maybe im just slow this morning) maths problem. Imaging each of the shapes as algebra letters and do substitution.

Gimme a sec to draw my thing out on my computer and i'll upload it in a few mins

Gimme a sec to draw my thing out on my computer and i'll upload it in a few mins

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#6

Ok nevermind, i cant get that working right now.

I expanded out the rectangles of the equation you want to solve. So 2 circles equals 8 triangles-something. (because each rectangle is 4 triangles)

Then i changed the circles into the thing we know they are equal to, which contains triangles. So change each of the two circles into two triangles and a square. Now, you have four triangles and two squares equals 8 triangles, minus "something".

This cancels down, to 2squares= 4 triangles - something

Now rearrange the third example you are given. In that, two squares=circle+triangle=square.

Therefore, Circle+triangle-square=4 triangles - something

Remove triangles from the LHS, so Circle-square=3 triangles - something

Rearrange the second example again....two triangles = circle-square. Therefore, three triangles - something = two triangles. BOOM.

I swear you could do that a lot easier, i just thought a complicated route for some reason.

I expanded out the rectangles of the equation you want to solve. So 2 circles equals 8 triangles-something. (because each rectangle is 4 triangles)

Then i changed the circles into the thing we know they are equal to, which contains triangles. So change each of the two circles into two triangles and a square. Now, you have four triangles and two squares equals 8 triangles, minus "something".

This cancels down, to 2squares= 4 triangles - something

Now rearrange the third example you are given. In that, two squares=circle+triangle=square.

Therefore, Circle+triangle-square=4 triangles - something

Remove triangles from the LHS, so Circle-square=3 triangles - something

Rearrange the second example again....two triangles = circle-square. Therefore, three triangles - something = two triangles. BOOM.

I swear you could do that a lot easier, i just thought a complicated route for some reason.

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#7

Thank you! ^^^

Please can anyone else also set out rules for how to solve such equations as I am also reallly struggling

Please can anyone else also set out rules for how to solve such equations as I am also reallly struggling

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#8

I'm a mathematician at heart, I don't like shapes, they confuse me like they do to other people... so I convert it all into numbers, so when ever I get one, I see it more of a maths question than a logic question. It makes it easier to go about.

With the first equation, imagine the triangle is equal to one, therefore you're going to convert every shape into terms of the triangle. As 4 triangles equal the rectangle, 1+1+1+1 = 4. Therefore, rectangle = 4.

Let's focus on trying to work out the square. Do this by using simultaneous equations, and putting the second equation, equally circle, into the third equation. Therefore you have 3 squares = 3 triangles + square.

As you know triangle = 1, and using basic maths (minusing a square from each side), you now end up with 2 squares = 3, and therefore square = 3/2.

Put the value of square= 3/2 and triangle=1 back into the equation, and you get that circle = 7/2.

Put all these values into the last equation:

7/2 + 7/2 = 4 + 4 -?

7 = 8 -?

Therefore ?=1. Therefore as triangle =1, the answer is triangle.

In writing it seems like it takes a while, but for me, I can do it relatively quickly, and this one seems to be a slightly harder one compared to usual.

I don't know if this is any help, but I thought I'd share how I do these questions

With the first equation, imagine the triangle is equal to one, therefore you're going to convert every shape into terms of the triangle. As 4 triangles equal the rectangle, 1+1+1+1 = 4. Therefore, rectangle = 4.

Let's focus on trying to work out the square. Do this by using simultaneous equations, and putting the second equation, equally circle, into the third equation. Therefore you have 3 squares = 3 triangles + square.

As you know triangle = 1, and using basic maths (minusing a square from each side), you now end up with 2 squares = 3, and therefore square = 3/2.

Put the value of square= 3/2 and triangle=1 back into the equation, and you get that circle = 7/2.

Put all these values into the last equation:

7/2 + 7/2 = 4 + 4 -?

7 = 8 -?

Therefore ?=1. Therefore as triangle =1, the answer is triangle.

In writing it seems like it takes a while, but for me, I can do it relatively quickly, and this one seems to be a slightly harder one compared to usual.

I don't know if this is any help, but I thought I'd share how I do these questions

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#9

These questions can be difficult, I have attached some help from our Medic Mind Books. Check out some free Decision Making tutorials too at www.youtube.com/medicmind

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#10

Hi!

your way seems intresitng. I am struggling alot to understand this do you think you can exaplin this more simplier? i think what i got from you is :

Triangle=1

square=2

rectangle=4

what will circle be??

your way seems intresitng. I am struggling alot to understand this do you think you can exaplin this more simplier? i think what i got from you is :

Triangle=1

square=2

rectangle=4

what will circle be??

(Original post by

I'm a mathematician at heart, I don't like shapes, they confuse me like they do to other people... so I convert it all into numbers, so when ever I get one, I see it more of a maths question than a logic question. It makes it easier to go about.

With the first equation, imagine the triangle is equal to one, therefore you're going to convert every shape into terms of the triangle. As 4 triangles equal the rectangle, 1+1+1+1 = 4. Therefore, rectangle = 4.

Let's focus on trying to work out the square. Do this by using simultaneous equations, and putting the second equation, equally circle, into the third equation. Therefore you have 3 squares = 3 triangles + square.

As you know triangle = 1, and using basic maths (minusing a square from each side), you now end up with 2 squares = 3, and therefore square = 3/2.

Put the value of square= 3/2 and triangle=1 back into the equation, and you get that circle = 7/2.

Put all these values into the last equation:

7/2 + 7/2 = 4 + 4 -?

7 = 8 -?

Therefore ?=1. Therefore as triangle =1, the answer is triangle.

In writing it seems like it takes a while, but for me, I can do it relatively quickly, and this one seems to be a slightly harder one compared to usual.

I don't know if this is any help, but I thought I'd share how I do these questions

**molly.butcherx**)I'm a mathematician at heart, I don't like shapes, they confuse me like they do to other people... so I convert it all into numbers, so when ever I get one, I see it more of a maths question than a logic question. It makes it easier to go about.

With the first equation, imagine the triangle is equal to one, therefore you're going to convert every shape into terms of the triangle. As 4 triangles equal the rectangle, 1+1+1+1 = 4. Therefore, rectangle = 4.

Let's focus on trying to work out the square. Do this by using simultaneous equations, and putting the second equation, equally circle, into the third equation. Therefore you have 3 squares = 3 triangles + square.

As you know triangle = 1, and using basic maths (minusing a square from each side), you now end up with 2 squares = 3, and therefore square = 3/2.

Put the value of square= 3/2 and triangle=1 back into the equation, and you get that circle = 7/2.

Put all these values into the last equation:

7/2 + 7/2 = 4 + 4 -?

7 = 8 -?

Therefore ?=1. Therefore as triangle =1, the answer is triangle.

In writing it seems like it takes a while, but for me, I can do it relatively quickly, and this one seems to be a slightly harder one compared to usual.

I don't know if this is any help, but I thought I'd share how I do these questions

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#11

**molly.butcherx**)

I'm a mathematician at heart, I don't like shapes, they confuse me like they do to other people... so I convert it all into numbers, so when ever I get one, I see it more of a maths question than a logic question. It makes it easier to go about.

With the first equation, imagine the triangle is equal to one, therefore you're going to convert every shape into terms of the triangle. As 4 triangles equal the rectangle, 1+1+1+1 = 4. Therefore, rectangle = 4.

Let's focus on trying to work out the square. Do this by using simultaneous equations, and putting the second equation, equally circle, into the third equation. Therefore you have 3 squares = 3 triangles + square.

As you know triangle = 1, and using basic maths (minusing a square from each side), you now end up with 2 squares = 3, and therefore square = 3/2.

Put the value of square= 3/2 and triangle=1 back into the equation, and you get that circle = 7/2.

Put all these values into the last equation:

7/2 + 7/2 = 4 + 4 -?

7 = 8 -?

Therefore ?=1. Therefore as triangle =1, the answer is triangle.

In writing it seems like it takes a while, but for me, I can do it relatively quickly, and this one seems to be a slightly harder one compared to usual.

I don't know if this is any help, but I thought I'd share how I do these questions

0

Report

#12

**molly.butcherx**)

I'm a mathematician at heart, I don't like shapes, they confuse me like they do to other people... so I convert it all into numbers, so when ever I get one, I see it more of a maths question than a logic question. It makes it easier to go about.

With the first equation, imagine the triangle is equal to one, therefore you're going to convert every shape into terms of the triangle. As 4 triangles equal the rectangle, 1+1+1+1 = 4. Therefore, rectangle = 4.

Let's focus on trying to work out the square. Do this by using simultaneous equations, and putting the second equation, equally circle, into the third equation. Therefore you have 3 squares = 3 triangles + square.

As you know triangle = 1, and using basic maths (minusing a square from each side), you now end up with 2 squares = 3, and therefore square = 3/2.

Put the value of square= 3/2 and triangle=1 back into the equation, and you get that circle = 7/2.

Put all these values into the last equation:

7/2 + 7/2 = 4 + 4 -?

7 = 8 -?

Therefore ?=1. Therefore as triangle =1, the answer is triangle.

In writing it seems like it takes a while, but for me, I can do it relatively quickly, and this one seems to be a slightly harder one compared to usual.

I don't know if this is any help, but I thought I'd share how I do these questions

0

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