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Final Scores at the PrimeBowl (Posted on 2007-11-28)

1. What is the highest score you can obtain in a standard game of bowling if your cumulative score in each of the ten frames is required to be a prime number?

2. What is the lowest score you can obtain in a standard game of bowling if your cumulative score in each of the ten frames is required to be a prime number and for each throw you knock down a prime number of pins?

The next two questions refer to 3-6-9 bowling. The difference in 3-6-9 bowling and the standard game is the 3rd, 6th and 9th frame already have strikes recorded.

3. What is the highest score you can obtain in a game of 3-6-9 bowling if your cumulative score in each of the ten frames is required to be a prime number?

4. What is the lowest score you can obtain if your cumulative score in each of the ten frames is required to be a prime number and for each throw (excluding the pre-recorded throws) you knock down a prime number of pins?

The first score sheet represents Games #1 and #2.
The second is for use with Games #3 and #4.

1	2	3	4	5	6	7	8	9	10



1	2	3	4	5	6	7	8	9	10
		X			X			X

One Scoring reference is here should you need one.

Submitted by Dej Mar

No Rating

Solution: (Hide)

For the following: X represents a strike and / represents a spare;
(n) indicates the frame mark-total as there are multiple ways to attain it; and n,n represents the throws in the frame may be swapped in the order thrown.

1. 229 Frame: 1 2 3 4 5 6 7 8 9 10 Marks: X X 3-1 X X X X X X X-0-8 Score: 23 37 41 71 101 131 161 191 211 229 2. 59 Frame: 1 2 3 4 5 6 7 8 9 10 Marks: 2,3 3-3 3-3 3-5 3-3 3,5 3-3 2-2 3-3 3-3 Score: 5 11 17 23 29 37 43 47 53 59 3. 211 Frame: 1 2 1 2 Marks: (/) 7-/ or (7) X Score: 17 37 7 37 Frame: 3 4 5 6 7 8 9 10 Marks: X X X X X 4-2 X X-4-0 Score: 67 97 127 151 167 173 197 211 4. 97 Frame: 1 2 1 2 Marks: 2,5 2-2 or 2,3 3-3 Score: 7 11 5 11 Frame: 3 4 5 6 7 8 9 10 Marks: X 3,5 2-2 X 3,5 2-2 X 3,5 Score: 29 37 41 59 67 71 89 97

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): and just part 3 (and part 4). -- same scores, different ways, other alternates	Charlie	2007-11-29 14:19:52
re(4): and just part 3 (and part 4). -- same scores, different ways, other alternates	Dej Mar	2007-11-28 22:28:59
re(3): and just part 3 (and part 4). -- same scores, different ways, other alternates	Charlie	2007-11-28 22:21:10
re(2): and just part 3 (and part 4). -- same scores, different ways, other alternates	Dej Mar	2007-11-28 20:11:39
re: and just part 3 (and part 4). -- same scores, different ways, other alternates	Charlie	2007-11-28 15:57:49
re: and just part 2. (agrees with my answer) -- also alternative formulation	Charlie	2007-11-28 15:52:14
and just part 3 (and part 4).	Leming	2007-11-28 15:49:20
re: Just part 1. (beats my answer for part 1)	Charlie	2007-11-28 15:47:58
and just part 2.	Leming	2007-11-28 15:11:11
Just part 1.	Leming	2007-11-28 14:29:13

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