POTW #7 Grade 8 Question:
POTW #7 Grade 7 Question:
POTW #6 Grade 8 Answer:
POTW #6 Grade 7 Answer:
Thursday, October 20, 2016
POTW #7 - How are we doing so far?
So... how is everyone doing with the POTW? Are they challenging? Easy? Depends on the question? How about success rate? Is everyone making sure to show all of their work (if they're doing it hard copy and posting just the answer online). Please see this week's POTW below, following last week's answers.
POTW #7 Grade 8 Question:
POTW #7 Grade 7 Question:
POTW #6 Grade 8 Answer:
POTW #6 Grade 7 Answer:
POTW #7 Grade 8 Question:
POTW #7 Grade 7 Question:
POTW #6 Grade 8 Answer:
POTW #6 Grade 7 Answer:
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Testing if broken
ReplyDeleteThis is how I did the Grade 7 POTW:
ReplyDeleteI first figure the amount of hours there are for the time. Since it is between 4 and 5 but not past 5, then the hours would be 4. Now for the minutes. Since there are 60 minutes in 1 hour, I can multiply it by 7/8, and get 52.5. This is the amount of minutes and seconds there are. The number of minutes is 52, since I can't round but I have to take out the decimals. But, I can use the decimals for seconds, which would give me the full time amount. Since there are 60 seconds in 1 minute, I multiply 60 by 0.5 to get me 30 seconds.
Therefore, the time is 4:52:30.(Hours, Minutes, Seconds)
---------Alan________
Emoji time!:p
:0 :)
First, I know that the hour has to be at 4. This is because they said that it is 7/8 to 5. That means that there is still a certain time to 5. So the hour would be 4.
ReplyDeleteSecondly I have to find the minute hand and the second. To make it easier, I can make 7/8 into a decimal. So you would do 7/8, which gives us 0.875. Now, we have to multiply 0.875 by 60, because there are 60 minutes in an hour. That gives us 52.5. Therefore, the number of minutes is 52.
Finally, to figure out how many seconds there are, we would take the 0.5 from the 52.5 and multiply by 60. This is because there are also 60 seconds in a minute. That gives us 30. Therefore, there are 30 seconds. Now we need to combine all of the times.
So, the time is 4:52:30, or 4 hours, 52 minutes and 30 seconds
POTW Grade 8:
ReplyDeleteHere's how I solved it: This question has a bit of confusing wording when talking about how Dante supposedly left at 5:30 because it states: " Just before leaving for work at 5:30a.m, Dante sets the clock to the correct time"
which could state that 5:30am is not the right time. Yet the question never states anything about when he last changed the clock's time before changing it before leaving work, which would make it very difficult to figure out the time her left. So for this question I will assume that 5:30am is the correct time that he left work.
Now at 1:30pm well his clock's 1:30pm at least. We are suppose to find out how much time he has left before having to go back to work at 12:30am. So first I figured out the times on the clock after every hour plus the extra 12 min:
5:30am + 1 hr and 12 min = 6:42am
6:42am + 1 hr and 12 min = 7:54am
7:54am + 1 hr and 12 min = 9:06am
9:06am + 1 hr and 12 min = 10:18am
10:18am + 1 hr and 12 min = 11:30am
11:30am + 1 hr and 12 min = 12:42am
Now this is the trick part, because I know just by looking at the number that if you add an hour and 12 minutes to 12:42am it will not be 1:30pm. So with much difficulty I figured out how many minute would pass for it to be 1:30pm. Fist by noticing that if you add 18 minutes to 12:42am, it will be 1:00pm. So after that I just added another half an hour, so it would take 48 minutes for it to become 1:30 from 12:42am
12:42 + 18 min = 1:00 + 30 min = 1:30
Now I just counted the amount of times I added 12 to the time, which was 6. Now I just multiplied 12 by six to see how much time I will take off of 1:30pm
12 * 6 = 72
Now I know that I need to subtract 72 mins( otherwise known as 1 hour and 12 minutes) from 1:30 to get the REAL time.
1:30 - 1 hr = 12:30 - 12 min = 12:18am
So the current time is 12:18am!
Now I just take 12:30 ( the time Dante should leave for work again) and subtract 12:18 from it!
12:30 - 10min = 12:20 - 2 min = 12:18
10 + 2 = 12 min
Dante has 12 minutes before he has to go back to work.
( Phew... so much time addition and so complicated... XD)
Really strong, thorough explanation.
DeleteI feel so special now. I somehow managed to figure out the Grade 8 POTW!:p (Though it's going to be my luck that I figured it out but got it wrong XD)
ReplyDeleteSo, what I did was I listed the different times for the real time and Dante's very messed up clock. According to the question, (The wording was kind of complicated) both clocks started off at 5:30 a.m. So, I list out each hour and what both clock times were. The chart looks like this:
Real Time Dante's Time
5:30 5:30
6:30 6:42
7:30 7:54
8:30 9:06
9:30 10:18
10:30 11:30
11:30 12:42
12:30 1:54
Now the confusing part is: The time's supposed to be 1:30, not 1:54! Why is that the way it is?
The answer is: The time isn't 12:30 yet! Which means that the difference between 1:54 and 1:30 should be the same for the difference of 12:30 right?
Wrong again! Since Dante's clock has this weird ability to gain 12 minutes per hour, even though it is 12 minutes per hour, that doesn't mean that it doesn't gain during the hour! To figure this out, you use 60/12, which gives you 5, which shows that every 5 minutes of real time that passes, Dante's clock will pass that 5 minutes, but an extra one, making it 6/5 minutes on Dante's clock for every 5 minutes of real time.
The amount of minutes between 1:54 and 1:30 is 24 minutes, since 54-30=24.
Now for a little fraction division! :p
I have to use 24, to divide by 6/5 minutes to convert from Dante's clock time to real clock time. Since I am dividing, I can flip the fraction and then multiply instead, which gives me:
24*5/6=20.
Dante has 20 minutes before going back to work.
-------Alan--------
In the end, I can see that the question wasn't very hard. There was just a lot of steps to do and some time to list, but once you get the steps right there are just a few simple calculations needed. So, I think that the answer I got is right, unless I can't understand wording of questions. XD
I really love that you usually end up trying both of the POTWs Alan. Keep it up!
DeleteI did my work on my math workbook, and he has 12 minutes to get back to work. 12:18 + 12 minutes = 12:30.
ReplyDeleteThis is how I solved the Gr. 7 POTW.
ReplyDeleteFirst, I knew the hour had to be 4, because it is between 4 and 5, so past 4 but not past 5 yet. There are 60 minutes in an hour, so I multiplied that number by 7/8, or .875, which gave me 52.5. The 52 is the minutes, and the 5 would be half of a minute, or 30 seconds. So, the time is 4:52:30
Grade 7 POTW:
ReplyDeleteFirst we need to think of the hour that the clock was in. So we know that it is 7/8 to 5 which means that it is still within 4 o'clock. Now we need to find out the amount that 7/8 would equal in seconds and minutes. I've decided to multiply that number by 60 minutes in an hour. (after converting it to decimals) we would get 52.5. That means that the amount of minutes would be 52. Now for seconds 0.5 is not literally 50 seconds as when measuring time it only goes up to 60 seconds/minutes which would mean that a half/0.5 would mean 30 seconds. Put together:
4 o'clock, 52 minutes, 30 seconds or 4:52:30 would be what the clock is indicating
~ M I C H E L L E
it is 4:52:30. I know this because if 7 over 8 is 0.875 than you have to times 0.875 by 60 which is 52.5 which means there are 52 minutes and 0.5 is half and half a minute is 30 seconds so the time is 4:52:30
ReplyDeleteGRADE 7 POTW
ReplyDeleteSince the hours are between 4-5 and it is 7/8, we automatically know it isn't 5 but 4 hours. Next, I have to find the minutes, to make the calculations easier, I translate the fraction into a decimal which is 0.875. Now we have to multiply 0.875 and 60 since there are 60 minutes in an hour, which is 52.5. Next, taking 0.5 from the 52.5, and multiplying that by 60 getting our final answer which is 30.
So the exact time is 4:52:30 aka four hours, fifty-two minutes and thirty seconds. I also want to add that the person that owns the clock should get a new one with a second+minute hand since doing that much math every time you look at the clock will be tiresome.
First, we start with the hours. According to the question, the hour hand was 7/8 of the distance between the numbers 4 and 5. That means that the hour hand hasn't reached 5 yet, therefore the hour is 4. Now onto the minutes. There are 60 minutes in an hour. So first we can divide 7 / 8 which gives us 0.875. Then multiply that by 60. That gives us 52.5. But the 0.5 is behind the decimal point which means that it's in seconds. So we round the 52.5 minutes to 52 minutes. Last is the seconds. We already have the 0.5 minutes from before so we multiply that by 60 also. 0.5 x 60 = 30. In conclusion, the exact time was 4:52:30 (hours, minutes, seconds).
ReplyDeleteHere is how I went about solving the Grade 7 POTW:
ReplyDeleteFirst, we have to understand that and hour hand travels 1/12 of a full circle, in one hour. While the minute hand, travels 60 times in a full circle. Since the hour hand is 7/8 between the 4 and 5, the hand will move 7/8 of 60 minutes. So we would do 7/8 multiplied by 60, which equals 52 1/2 minutes. To simplify the fractions, we can turn them into decimals so that we can express them as seconds. So half of a minute is obviously 30 seconds, and therefore the exact time would be 4:52:30 pm.
It is 4:52 at 30 seconds. I got this because if you convert 7/8 to a percent it is 87.5%. Then you have 60 minutes which would be 8/8. Then since 100%-87.5% is 12.5%. If you do this you get 52.5. This means 52 minutes and half of 1 minute which is 30 seconds so it's 4:52 with 30 seconds.
ReplyDeleteTO solve this question I first converted the times to 24 hour time. 1:30=13:30. Then I continued adding 1hour 30 to 5:30. (addition is on my book). I finally hit 12:42 and I could not add another 1:12. Thus I found that adding 48 minutes to 12:42 would get me 1:30. After that to find the extra time added by the clock I looked at how many times I was able to add 1:12 to get 6 and multiplied it by 12 because that was the extra time to get 72. Finally I subtracted 72 from 1:30 to get 12:18 then to find how much time he had left I subtracted 18 from 30 to get 12. So he has 12 minutes to get back to work.
ReplyDeleteFirst I need to divide 1 hour into 8 because the denominator of the fraction is 8. One hour is 60:00 minutes. Some bench marks are 10, 12 15 as 20. Since 10 x 6 is to big that means that all the other benchmarks won't work either because they're bigger than 10. I know its between 6 and 9 because it's less than 10 and 5x12 is 60 so 5 is to small. 6 doesn't work either because 6 x 10 is 60 so 6 is to small either. The other numbers aren't factors of 60 so I'm just going to multiply them by 8. 7 x 8 = 56, 8 x 8 = 64, and 9 x 8 = 72. So now i know that 8 and 9 are to big but 7 is to small so it's between 7 and 8. No i need to figure out how many seconds when multiplied by 8 equal to 4 minutes or 240 seconds. For that i just need to divide 240 by 8 which gives me 30. So now i know that 1/8 of an hour is 7 minutes and 30 seconds. Since the clock shows that the hour hand is 7/8 between 4 and 5 I need to multiply 7.5 by 7 which gives me 52.5 or 52 minutes and 30 seconds. The time is 4:52:30 pm
ReplyDeleteSince the clock is 7/8 of the way between the 4 and the 5, and the total distance between them is 60 minutes, the amount of time past 4 is 7/8 of 60. To solve this problem, I decided to multiply 7/8 by 60, which equalled 52.5. This means that the time is 52 minutes and half a minute past 4 pm. Since half a minute is 30 seconds, the exact time is 4:52:30 pm.
ReplyDeleteI know that the clock is 7/8 of the way between 4 and 5.
ReplyDeleteThere are 60 minutes in an hour and 7/8 of an hour is 52.5 minutes or 53 minutes and 30 seconds.
7/8 = 0.875
0.875 * 60 = 52.5.
This means that the minute hand should be at 52 minutes and the seconds hand should be at 30 seconds.
Because the hour hand is in between 4 and 5 the time must be in between them to.
The time is 4:52:30.
The time is 4:52:30
ReplyDeleteMy work is hard copy.
4:52:30 because I figured out 1/8 was 7:30.
ReplyDeleteThe time is 4:52:30. I did this question on paper.
ReplyDelete