2012 Tests

[thatoneguy]

Just a couple questions

TMSCA 13

#14 Given the sequence 2,2,9,16,35,k,126,232,... find k. A.42 B.66 C.72 D.89 E.108

#25 Find the digit in the 10^-6 place of the series 3^0/0! - 3^2/1! + 3^4/2! - 3^6/3! + 3^8/4! -...
A.0 B.1 C.2 D.3 E.4

UIL B

#56 How many solutions are there for the equation 4x+5y=2012 such that both x and y are non-negative integers?
A.20 B.41 C.54 D.80 E.101 He seems to have made these more difficult this year and I'm looking for a faster way then using the table

#57 Three couples triple date and go to the movie theater. Their seats are next to each other in the same row. Naturally, each couple wants to sit next to each other. How many seating arrangements are possible for the three couples?
A.12 B.24 C.36 D.48 E. 72 I seem to struggle with probability so any tips and tricks are appreciated.

Thanks in advance guys

[redhawk2015]

TMSCA 13 #14:

The sequence is of the form [unparseable or potentially dangerous latex formula], where [unparseable or potentially dangerous latex formula] is the position in the sequence and [unparseable or potentially dangerous latex formula] is the [unparseable or potentially dangerous latex formula] Lucas number. So

1*2 = 2
2*1 = 2
3*3 = 9
4*4 = 16
5*7 = 35
6*11 = [unparseable or potentially dangerous latex formula]
7*18 = 126
8*29 = 232
and so on...

[88bobcat]

[88bobcat]

[88bobcat]

[thatoneguy]

Thanks so much guys.

I've got a few more off the state TMSCA test.

#13 Given the sequence 3,8,24,48,120,...,840,k,1368...find k. A.1284 B.1200 C.1080 D.960 E.899

#34 Wat is the digit in the tens place of 11^2012? A.0 B.1 C.2 D.8 E.9 Ans. key says 0 but I keep getting 2 for some reason.

#42 Coach Thompson's number sense team consists of 4 young ladies. He has them write down the day of the week each of them were born. What is the probability that at least two of them were born on the same day of the week?
A.99% B.65% C.57% D.50% E.35%

#50 Find the area of the region bounded by x=y^2-9 and y=x+3 A.18.1666... B.18.66... C.20.33... D.20.833... E.23.499...
He seems to have made this one harder than usual.

[Salvadoramerican]

50) i would change that y=x+3 to x=y-3 then solve both equation for interceptions and that is 3 and -2 so then [unparseable or potentially dangerous latex formula]

[Salvadoramerican]

Yeah i would agree with 2 because anything in the ones place in a power of base 11 is equal to the tens place of the number ex[unparseable or potentially dangerous latex formula]and [unparseable or potentially dangerous latex formula]

[88bobcat]

[hello]

For thirteen, it is one less the prime numbers squared. 29^2 - 1 = 840, so the answer would be 31^2 - 1 = 960.

[hello]

34 had a typo.

http://www.uiltexas.org/files/academics ... le2012.pdf

[88bobcat]