GCSE maths Proportions - Could someone read through my answers ?

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noodlestopshop
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Is anyone able to read through my answers to the questions below and tell me if they're right or wrong? If any are wrong I can provide my workings out
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noodlestopshop
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noodlestopshop
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(Original post by noodlestopshop)
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Anyone?
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dxnixl
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(Original post by noodlestopshop)
Anyone?
1) b = ka
5 = 7k so k = 5/7
140 x (5/7) = 100 correct
2) 37/(5/7) = 51.8 correct
3/4) correct
5) y = x^3k
96 = 64k so k= 1.5
y = 5.5^3 x 1.5 = 249.5625 correct
6)incorrect - here’s some support:
h = k/ r^2 - substitute the values of h and r to find k:
k = h(r^2) - and now use this to solve for h using values
7) q = k/sqrt(w) so k = 8.68(1.4) = 12.152
12.152/sqrt(4.41) = 5.786... correct
8) incorrect - here’s some support:
q = k/sqrt(w) and k= 12.152
q = 12.152/sqrt(w) so w = (12.152/q)^2 and now substitute in your value of q for w

Let me know if you think i’m wrong - i’m human too!
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noodlestopshop
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(Original post by dxnixl)
1) b = ka
5 = 7k so k = 5/7
140 x (5/7) = 100 correct
2) 37/(5/7) = 51.8 correct
3/4) correct
5) y = x^3k
96 = 64k so k= 1.5
y = 5.5^3 x 1.5 = 249.5625 correct
6)incorrect - here’s some support:
h = k/ r^2 - substitute the values of h and r to find k:
k = h(r^2) - and now use this to solve for h using values
7) q = k/sqrt(w) so k = 8.68(1.4) = 12.152
12.152/sqrt(4.41) = 5.786... correct
8) incorrect - here’s some support:
q = k/sqrt(w) and k= 12.152
q = 12.152/sqrt(w) so w = (12.152/q)^2 and now substitute in your value of q for w

Let me know if you think i’m wrong - i’m human too!
I haven't done 8 yet, but I am trying to figure out (6)
My workings out are
h=k/r^2
3.4=k/25
3.4x25=k
k=85
h=85/8^2
h=85/64
h=1.328125
Do you know where my errors is?
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dxnixl
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(Original post by noodlestopshop)
I haven't done 8 yet, but I am trying to figure out (6)
My workings out are
h=k/r^2
3.4=k/25
3.4x25=k
k=85
h=85/8^2
h=85/64
h=1.328125
Do you know where my errors is?
Hi sorry i mistyped this into a calculator - but 6 is right sorry well done!
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noodlestopshop
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(Original post by dxnixl)
Hi sorry i mistyped this into a calculator - but 6 is right sorry well done!
Thankyou! and now for question 8 I also don't know where I have gone wrong
My workings -
q=k/sqrt(w)
3=12.152/sqrt(w)
3x12.152=sqrt(w)
36.456^2=w
w=1329.039936
Rounded to 2dp = 1329.04
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emma963
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(Original post by noodlestopshop)
Thankyou! and now for question 8 I also don't know where I have gone wrong
My workings -
q=k/sqrt(w)
3=12.152/sqrt(w)
3x12.152=sqrt(w)
36.456^2=w
w=1329.039936
Rounded to 2dp = 1329.04
From your working- 3x12.152=sqrt(w)
You are not multiplying you are dividing
(12.152)/3 =sqrt(w)
Last edited by emma963; 1 month ago
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noodlestopshop
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(Original post by emma963)
3x12.152=sqrt(w)
You are not multiplying you are dividing
(12.152)/3 =sqrt(w)
aha, how come it is dividing instead of multiplying? I assumed that since I'm taking the 12.152 in a division to the other side I have to swap it to the opposite (Multiplication) and for my final answer I'm now getting 16.40790045 Rounded to 2dp = 16.41 Do you know if that's correct?
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dxnixl
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(Original post by noodlestopshop)
aha, how come it is dividing instead of multiplying? I assumed that since I'm taking the 12.152 in a division to the other side I have to swap it to the opposite (Multiplication) and for my final answer I'm now getting 16.40790045 Rounded to 2dp = 16.41 Do you know if that's correct?
Now it’s right - well done
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emma963
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(Original post by noodlestopshop)
aha, how come it is dividing instead of multiplying? I assumed that since I'm taking the 12.152 in a division to the other side I have to swap it to the opposite (Multiplication) and for my final answer I'm now getting 16.40790045 Rounded to 2dp = 16.41 Do you know if that's correct?
From the original equation
q=k/sqrtw
You would have to multiply by sqrt(w) to get
(q)sqrt(w) = k
You have to divide to get to sqrt(w)
sqrt(w) =k/q
Last edited by emma963; 1 month ago
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noodlestopshop
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(Original post by dxnixl)
Now it’s right - well done
Thankyou so much for your help!
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noodlestopshop
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(Original post by emma963)
From the original equation
q=k/sqrtw
You would have to multiply by sqrt(w) to get
(q)sqrt(w) = k
You have to divide to get to sqrt(w)
sqrt(w) =k/q
Ohhh that makes sense now, thankyou
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