row_id
int64
0
36.7k
QuestionId
int64
31.8k
109k
QuestionText
stringclasses
15 values
MC_Answer
stringclasses
49 values
StudentExplanation
stringlengths
1
586
Category
stringclasses
6 values
Misconception
stringclasses
35 values
35,600
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because 12 divided by 3 is 4 so 192x4= 768
False_Misconception
Multiplying_by_4
35,601
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because 12 divided by 3 is 4 so you have to times 192 by 4 which is 768
False_Misconception
Multiplying_by_4
35,602
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because 12 is in the 3 times tables so you can divide 12 by 3 and get the number you times by. then i did 3x4=12 people and then on the other side 192x4=768. or you can use the unitary method
False_Misconception
Multiplying_by_4
35,603
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because 12 x 3 = 4 which means 3 x 4 = 12 so you just have to times 192 by 4 and you get this answer.
False_Misconception
Multiplying_by_4
35,604
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because 12 ÷ 3 = 4 so i have to multiply 192 hours by 4 which is 768 hours . and 'a' = 768 hours.
False_Misconception
Multiplying_by_4
35,605
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because 192 times 4 is 768 hours to build the same wall.
False_Misconception
Multiplying_by_4
35,606
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because i did 4x3 which gave me 12 then i did 192x4
False_Misconception
Multiplying_by_4
35,607
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because i found out what timesed by 3 = 12 and then with that number i timesed 192 x 4 and that is 768.
False_Misconception
Multiplying_by_4
35,608
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because i timed it by 4
False_Misconception
Multiplying_by_4
35,609
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because i worked out the k constant is 4 so 192x4=768 hours.
False_Misconception
Multiplying_by_4
35,610
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because if you divide 3 into 192 you get 64 so you then times it by 12
False_Misconception
Multiplying_by_4
35,611
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because we know that 3p=192hrs, meaning that you times by 4 to get 12 so you have to do 192×4 which is equal to 768hrs.
False_Misconception
Multiplying_by_4
35,612
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because you do 192 divided by 3 then you multiply your answer by 12, so therefore the answer is option a.
False_Misconception
Multiplying_by_4
35,613
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because you do 192 divided by 3 to get 64 then times that by the 12 to get 768.
False_Misconception
Multiplying_by_4
35,614
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because you do 192 divided by 3 to get 64 then times that by the 12 to got 768.
False_Misconception
Multiplying_by_4
35,615
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this because you times 192 by 4 because 3 x 4 is 12 and you do the same to both sides. and the answer is 768.
False_Misconception
Multiplying_by_4
35,616
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this becausee i worked out the k constant is 4, so 192x4=768 hours.
False_Misconception
Multiplying_by_4
35,617
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this is because i did 4x3 which gave me 12 then i 192x4 which is a 12 times 4
False_Misconception
Multiplying_by_4
35,618
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think this is because i found out what timesed by 3 = 12. then i timed 192 x 4 and that was 768.
False_Misconception
Multiplying_by_4
35,619
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think to find 1 person is 192/3=64 hr 64 times 12 person =768
False_Misconception
Multiplying_by_4
35,620
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i think to find 1 person is 192/3=64 hr 64 times 12 person =768
False_Misconception
Multiplying_by_4
35,621
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
i worked out that one person would take 64 hours and times it by 12 to give me my answer
False_Misconception
Multiplying_by_4
35,622
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
if the amount of people increases by 4, the time has to increase as well
False_Neither
null
35,623
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
if you take the time it takes 1 person to do the math, multiply that times twelve, that will givee you 48 hours.
False_Misconception
Multiplying_by_4
35,624
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
it takes 1 person is 64 then you times it by 12 which is 768
False_Misconception
Multiplying_by_4
35,625
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
it would take 768 hours.
False_Neither
null
35,626
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
it's a because 12 divided by 3 equals to 4 so you then multiply 192 by 4.
False_Misconception
Multiplying_by_4
35,627
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
let's do 192 divided by 3, which is going to give us the amount that each builder does, then do that times 12.
False_Misconception
Multiplying_by_4
35,628
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
ratioooo:d 12/3=4 4x192=768 (i love ratio)
False_Misconception
Multiplying_by_4
35,629
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
so the answer is 768 hours because you need to first convert the question to a ratio of 3 to 1 and then multiply that by 192 hours. then multiply by 3 and 168 hours and you will get 748.
False_Neither
null
35,630
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
the answer is 64 because 192 divided by 3 is equal to 64. 64 x 12 is 768.
False_Misconception
Multiplying_by_4
35,631
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
the closest number i got was 744 so i think its a
False_Neither
null
35,632
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
this is because 12 divided by 3 equals to 4 then you multiply 192 by 4 which will equal to 768 hours
False_Misconception
Multiplying_by_4
35,633
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
this is because from 3p to get to 12 people would be dividing by 4 but since it would take longer for it to build a wall you times by 4 on the other side to get 768.
False_Misconception
Multiplying_by_4
35,634
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
this is because if you put this as ratio form and calculate 1 person then multiply it by twelve you will get 48 hours
False_Neither
null
35,635
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
times all of it by 4 to get 768
False_Misconception
Multiplying_by_4
35,636
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
times by 4. i worked it out with box method
False_Misconception
Multiplying_by_4
35,637
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
to get 768, yiu need to times everything by 4.
False_Misconception
Multiplying_by_4
35,638
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
to work out how long it would take if 12 people built the same wall, you write out the ratio 3 people : 192hrs from the question, then because to get from 3 to 12 (people) you multiply 3 by 4, you do 192 x 4. therefore, it would take 768 hours.
False_Misconception
Multiplying_by_4
35,639
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
you divide by 3 and times by 12
False_Misconception
Multiplying_by_4
35,640
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
you do 192 divided by 3 to find one person which is 64 then you times by 12 to find 12 people and you get 768.
False_Misconception
Multiplying_by_4
35,641
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
you do 192/3 which is 64 and then do 64x12 which is 768
False_Misconception
Multiplying_by_4
35,642
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
you have to find one and then times that by 12
False_Neither
null
35,643
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
you have to times 192 by four because 4x3 is 12
False_Misconception
Multiplying_by_4
35,644
104,665
It takes \( 3 \) people a total of \( 192 \) hours to build a wall. How long would it take if \( 12 \) people built the same wall?
\( 768 \) hours
you multiplyy by 3, and times by 12.
False_Neither
null
35,645
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
0.7 is only 0.1 away from 1 so you can see that this formula works when they are out of 1.
False_Neither
null
35,646
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
0.9 is close to 1 so it is probably going to happen.
False_Correct
null
35,647
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
0.9 is close to the number 1
False_Neither
null
35,648
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
0.9 is closerr to 1 and so it's more probable, whilst closer for would be nearer 0.5.
False_Neither
null
35,649
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
0.9 out of 1 is very close to 1 so it would be a higher probability.
False_Neither
null
35,650
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
0.9 out of 1 is very closee to 1, so it would be more likely.
False_Neither
null
35,651
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
1 is certain and since 0.9 is closer to 1 than it’s certain
False_Misconception
Certainty
35,652
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
1 plus 1 equals 1 and therefore a one percent chance of it not happening.
False_Neither
null
35,653
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
50 times certainty is equal to half chance that it will happen.
False_Neither
null
35,654
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
A probability of 0 can never be 0, so an event is impossible.
False_Neither
null
35,655
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
As it is really close to 1 you might think it may be 2.
False_Neither
null
35,656
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
I have no clue how to explain this another time
False_Neither
null
35,657
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
I think this is cause it's almost certain to happen, 0.9 is likee 90%.
False_Misconception
Certainty
35,658
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
If the number 0.9 is vlose to or equal to 1 then that number cannot be divided by itself.
False_Neither
null
35,659
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
In my opinion, this is due to the fact that it's only 10% chance. As such, it is a certaintyy that this event will take place.
False_Misconception
Certainty
35,660
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
Nevertheless it is more unlikely than not likely that an event will occur because this event isn't certain of happening.
False_Neither
null
35,661
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
Since 9/10 is very closee to certain you would have to round it up.
False_Misconception
Certainty
35,662
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
Since It is 90 percent of 100 which is overr the 50 mark.
False_Neither
null
35,663
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
The answer is 6 because it always out of 1 meaning that the event occurred.
False_Neither
null
35,664
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
There is a chance that 1 will happen and since 0.9 is closer to 1 than it is certain.
False_Misconception
Certainty
35,665
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
With the odds of 0.9 it is very likely that this event will occur.
False_Neither
null
35,666
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
as it is really close to 1
False_Neither
null
35,667
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
b because 0.9 is close to 1 hole
False_Correct
null
35,668
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
b because 0.9 is closr to 1 hole
False_Neither
null
35,669
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
b.
False_Neither
null
35,670
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because 0.9 is closer to 1s likelihood whereas if it was closer to 0.5 it would be likely
False_Neither
null
35,671
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because 1 is certain and 0.9 is just below 1
False_Neither
null
35,672
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because 1 is certain, and 0.9 is just below that.
False_Neither
null
35,673
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because if you multiply it by almost 1 then it is certain.
False_Neither
null
35,674
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because it is 0.1 away from the full
False_Neither
null
35,675
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because it is 90 percent of 100 which is over the 50 mark
False_Neither
null
35,676
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because it is almost 1 and anything with a probability of 1 is certain
False_Misconception
Certainty
35,677
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because it is closest to 10 which is certain
False_Neither
null
35,678
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because it is very close to the full probability that it will happen
False_Neither
null
35,679
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because it is very close to the full probability that it will happen.
False_Misconception
Certainty
35,680
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because it will add up to 1 so it would be a one percent chance of not happening
False_Misconception
Scale
35,681
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because the event occurring is 0.9 so it is very likely to happen.
False_Neither
null
35,682
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
because with probability the decimals need to add up to 1 whole so 0.9 is close to 1 so it is certain
False_Misconception
Certainty
35,683
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
c2 is a little better than it would seem, because though it's 0.1% off, it stilll is too low.
False_Misconception
Scale
35,684
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
certain because there is 9 out of 10 a chance
False_Misconception
Certainty
35,685
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
certain is definitely going to happen, which can be shown as 1. 0.9 is close to 1 so it is probably going to happen.
False_Neither
null
35,686
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
certain means that there's a 50% chance that it'll happen.
False_Neither
null
35,687
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
d ✅ - the lowest a probability can be is 0, so the event is impossible.
False_Neither
null
35,688
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
i csn t think of any way to explain that.
False_Neither
null
35,689
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
i don t know how to explain it
False_Neither
null
35,690
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
i have no idea if and when you round to the nearest whole number, it is bound to become 1 as opposed to 0.9.
False_Misconception
Certainty
35,691
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
i think the answer is a because your probability line goes from 0 to 1 and 0.9 is very close to 1 and one is certain
False_Neither
null
35,692
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
i think this because it is almost certain that it will happen. 0.9 is like 90%
False_Neither
null
35,693
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
i think this because it is only 10% from definitely, so it is very certain that the event will occur.
False_Neither
null
35,694
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
i'm not sure but if you round 0.9 it is certain that it will become 1.
False_Misconception
Certainty
35,695
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
if is closer to 1 than 0..
False_Neither
null
35,696
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
if it is out of 1 an it is 0.9 its a 90 percent chance of it being certain so i think its certain
False_Misconception
Certainty
35,697
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
if the decimal points add up to 1 then it is certain.
False_Neither
null
35,698
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
it is 9 outt of 10 times you will win. so it has a good chance!
False_Neither
null
35,699
109,465
The probability of an event occurring is \( 0.9 \). Which of the following most accurately describes the likelihood of the event occurring?
Certain
it is certain
False_Neither
null