OCR MEI C2 Questions and Solutions [3rd June 2015]

Wouldn't question 2 be 2+2.5+1.6+3.90625=10.00625 or am I doing something wrong

Q 11) 8th generation shouldn't it be 3^7 =2187 as Jill was generation 1 meaning the geometric sequence would be 3^n-1

Also for 15th again wouldn't a =1 so (3^15 - 1) / 3-1 = 7174453 ???

Put 1601 / 160 it gives you 10.00625

Wouldn't question 2 be 2+2.5+1.6+3.90625=10.00625 or am I doing something wrong

Q 11) 8th generation shouldn't it be 3^7 =2187 as Jill was generation 1 meaning the geometric sequence would be 3^n-1

Also for 15th again wouldn't a =1 so (3^15 - 1) / 3-1 = 7174453 ???

Pretty sure in question three it was 11.5 not 11.1 (could be wrong though)

Wouldn't question 2 be 2+2.5+1.6+3.90625=10.00625 or am I doing something wrong

Just putting it up here separately so people can see and not rummage through the whole thread. If there's anything incorrect, I could have worded better or something please let me know so I can fix it. I don't have the actual question paper so this is all from memory, so I don't know how many marks each part is worth.
1)Differentiate 12*cube root x and integrate $\frac{6}{x^3}$2) U1 = 2, Un+1 = $\frac{10}{{Un}^{2}}$ Find the sum of U1, U2, U3 and U4.3) 10th terms of an arithmetic sequence is 11.1, 50th is 7.1, find common difference, first term, and sum of first 50 terms.4) Sector of circle with angle 1.5 radians has 27 $cm^2$ area. Find the perimeter.5) Use calculus to find where $x^3 - 6x$ is an increasing function.6) Sketch, on the same axes, $3^x$ and $3^{2x}$ If $3^{2x} = 729$ Find $3^x$ and x, in any order.7) $sin^2x = 3cosx - 2$, find x where $0<x<2 \pi$8)A sketch showing log10y against log10x going through 0,2 and 2,8. Find log10y in terms of log10x and hence y in terms of x.9) Illustration had a triangle of side lengths 8, 13 and 20, and you were required to find the angle opposite to the side of length 8 and find the area.Following part of question had trapezium rule numbers that I don't remember XD10) $\frac{dy}{dx} = 4x + 3$ and passes through 2,9. Find the equation of the tangent at 2,9 and find the equation of the curve, where it crosses the x axes and the minimum. The curve is translated parallel to the x axis by scale factor of (1/2), find the new equation of the curve and the new minimum.11) Daughter question: Jill has 3 daughters, who will also give birth to three daughters each, and the next generation has 3 daughters each per daughter and so on. Find the number of daughters in the 8th generation, the sum of all the daughters in the first generation to the fifteenth generation. Find also the minimum number of generations required for a total of 1 million daughters and the difference between how many she would have if she and each daughter only had 2 daughters.

I know this isn't a thread about grades but if i roughly got (using the maximum of marks i might have lost):

C1 - 97.2 %

C2- 72.2 %

S1- 83.3%

Will i still be able to overall get an A?!?

Thank you so much for this! Could you put the number of marks next to each question please?

Just to check, trapezium one was like h=4 so 2(0+2(.......)+0) and it ended up being really similar to area of previous triangle right? Like 31.2 cm^2 if I remember correctly??

Just putting it up here separately so people can see and not rummage through the whole thread. If there's anything incorrect, I could have worded better or something please let me know so I can fix it. I don't have the actual question paper so this is all from memory, so I don't know how many marks each part is worth.
1)Differentiate 12*cube root x and integrate $\frac{6}{x^3}$2) U1 = 2, Un+1 = $\frac{10}{{Un}^{2}}$ Find the sum of U1, U2, U3 and U4.3) 10th terms of an arithmetic sequence is 11.1, 50th is 7.1, find common difference, first term, and sum of first 50 terms.4) Sector of circle with angle 1.5 radians has 27 $cm^2$ area. Find the perimeter.5) Use calculus to find where $x^3 - 6x$ is an increasing function.6) Sketch, on the same axes, $3^x$ and $3^{2x}$ If $3^{2x} = 729$ Find $3^x$ and x, in any order.7) $sin^2x = 3cosx - 2$, find x where $0<x<2 \pi$8)A sketch showing log10y against log10x going through 0,2 and 2,8. Find log10y in terms of log10x and hence y in terms of x.9) Illustration had a triangle of side lengths 8, 13 and 20, and you were required to find the angle opposite to the side of length 8 and find the area.Following part of question had trapezium rule numbers that I don't remember XD10) $\frac{dy}{dx} = 4x + 3$ and passes through 2,9. Find the equation of the tangent at 2,9 and find the equation of the curve, where it crosses the x axes and the minimum. The curve is translated parallel to the x axis by scale factor of (1/2), find the new equation of the curve and the new minimum.11) Daughter question: Jill has 3 daughters, who will also give birth to three daughters each, and the next generation has 3 daughters each per daughter and so on. Find the number of daughters in the 8th generation, the sum of all the daughters in the first generation to the fifteenth generation. Find also the minimum number of generations required for a total of 1 million daughters and the difference between how many she would have if she and each daughter only had 2 daughters.

If I got 78%,91% and 92% could I get an a?

What were the lengths of the sides of the triangle exactly?

question 4- it wanted the perimeter of the SECTOR, not the whole circle (which was 9cm if i'm not mistaken) xx

That's what I thought too, but did it specify that?