row_id
int64
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36.7k
QuestionId
int64
31.8k
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QuestionText
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15 values
MC_Answer
stringclasses
49 values
StudentExplanation
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1
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Category
stringclasses
6 values
Misconception
stringclasses
35 values
6,400
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because using the italian method, you must do- 1/2 divided by 6/1. Then you swap the 6/1 which then transforms into a multiplication, so 1/2 x 1/6 which gives 1/12
True_Correct
null
6,401
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because using the keep change flip method you keep a half as it is, change the method from a divide to a multiplication, and change 6/1 to 1/6. Now you have to do a half multiplied by a sixth which is 1 12th.
True_Correct
null
6,402
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because we know 6 is over 1 because it's a whole number. Now we flip the fractions and get 2/1 and 1/6 now we multiply them like a butterfly and 2x6 is 12 and 1x1 is 1 and we get 1/12
True_Neither
null
6,403
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when I calculated it it was was 1/12 so I think that’s correct
True_Neither
null
6,404
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when I do leave me change me turn me
True_Correct
null
6,405
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when I figured out the answer it was easy. It was 1-12th.
True_Neither
null
6,406
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when dividing 1/2 and 6/1, you get 1/12.
True_Neither
null
6,407
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when dividing fractions in maths you need to use the formula of KCF, Keep Change Flip.
True_Correct
null
6,408
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when dividing fractions with whole numbers we would turn it into a fraction over one and then flip it around and times them toghether
True_Correct
null
6,409
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when dividing fractions, you turn the number into a fraction (6/1), flip it (1/6) and multiply which gives you 1/12
True_Correct
null
6,410
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when it comes to the numerator being undividable by the integer then you have to do the denominator multiplied by the integer and 2×6=12 so the fraction would be 1/12
True_Neither
null
6,411
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when the 6 is put over the one, the order of it has to be switched, making it 1/6, which then equals to 1/12.
True_Correct
null
6,412
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when using the keep change flip method it becomes 1/2 times 1/6 which is 1/12
True_Correct
null
6,413
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you are dividing fractions with a whole number you have to multiply the denominator by the divisor and 2x6=12.
True_Correct
null
6,414
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you are dividing two values, and there are fractions included, you have to do something a little different. You have to flip the second value. For example, 6 would become 1/6. Therefore, 1/2 and 1/6 multiplied gives you 1/12.
True_Correct
null
6,415
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you carry over the one you do 2X6 which equals 12 so the answer is 1 12
True_Correct
null
6,416
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you devide a number by a fraction you multiply the denominator by the number and leave the numerator.
True_Correct
null
6,417
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you divide a fraction by a whole number the denominator actually gets multiplied by the whole number and so you keep the numerator the same so it would equal 1/12
True_Correct
null
6,418
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you divide a fraction by a whole number you only times the denominators.
True_Neither
null
6,419
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you divide a fraction you times the whole number by the denominator so if you do it with this calculation it has to be 1/12.
True_Correct
null
6,420
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you divide by fractions you flip the 6/1 into 1/6 and times the 2 fractions together to get 1/12
True_Correct
null
6,421
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you divide fractions the denominator becomes smaller and 6x2=12
True_Neither
null
6,422
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you do flip the second fraction flip the action 6 becomes on sixth and then when you multiply them together the answer is one twelfth
True_Correct
null
6,423
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you flip 6 you get 1/6 and 1x1=1 and 2x6=12 so it is 1/12
True_Correct
null
6,424
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you keep the first fraction the same, then change divide into multiply and flip the second fraction round, it becomes a multiplication. Then you do exactly what you do when you multiply fractions.
True_Correct
null
6,425
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you see a divide sign like this it means times the denominator by the 6 which equals 1/12
True_Correct
null
6,426
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you use the keep change flip method it makes it 1/2x1/6=1/12
True_Correct
null
6,427
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because when you're dividing a fraction you would times the denominator by the whole number and keep the numerator the same unless you can simplify it so you would times 2 by six which is 12 so it would be 1/12 and you can't simplify that.
True_Correct
null
6,428
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because whenever you divide a whole number by a fraction you leave the fraction as it is,change the division sign into multiplication and change the whole number into a fraction . So in this case i would change 6 divided by half into 1/2 times 1/6 =1/12.
True_Correct
null
6,429
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you can not divide 3 by 6 so you have to make 1/2 into 6/12 and than you divide that 6 by 6 and you get 1/12.
True_Neither
null
6,430
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you can't divide a fraction so you have to keep change flip then multiply the fractions to get 1/12
True_Correct
null
6,431
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you cannot do 1 divided by 6 so you do 2x6 giving you 12.
True_Neither
null
6,432
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you change divide to x and 6 to 1/6 and then multiply across
True_Correct
null
6,433
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you change it back into a fraction
True_Neither
null
6,434
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you change the division sign to a times sign and flip over the 6/1 to 1/6 and multiply by half.
True_Correct
null
6,435
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you divide the denominator by the whole number
True_Neither
null
6,436
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you do 2x6=12
True_Neither
null
6,437
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you do 6/1, then switch it round to 1/6 and change the divide sign to a times sign. Then multiply 1/2 with 1/6 which is 1/12.
True_Correct
null
6,438
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you do drop the two down and times them which then gets you 1 - 12
True_Neither
null
6,439
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you do the denominator x the whole number = 12 so 1/12.
True_Correct
null
6,440
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you drop down your integer next to your denominator and turn it into a multiplication which is 6x2 is 12 so it would be 1/12
True_Correct
null
6,441
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you flip 6/1 to 1/6 . Then you times 1/6 by 1/2 to make 1/12.
True_Correct
null
6,442
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you flip 6/1 to 1/6 then times top by top and times bottom by bottom
True_Correct
null
6,443
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you flip the fraction your dividing by and times them both together
True_Correct
null
6,444
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to Keep the first fraction Flip the second and Change the operation. and you put 6 as : 6 over one
True_Correct
null
6,445
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to change the divide to multiply then make the the 6 into 1/6 so times them which would equal to 1/12
True_Correct
null
6,446
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to do 1/2 divided by 36/6 and the flip the second fraction then times the two fractions.
True_Correct
null
6,447
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to do 1/2 x 1/6 which is 1/12
True_Correct
null
6,448
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to do keep, change, flip
True_Correct
null
6,449
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to flip it and reverse it which is 6/1 and then its 1/2 x 1/6 which is 1/12
True_Correct
null
6,450
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to flip it and times it
True_Correct
null
6,451
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to keep the first fraction the same which in this case is 1/2. then you add a denominator 1 to 6 and then flip 6/1 to become 1/6. You then change division to multiplication. 1/2 times 1/6 = 1/12.
True_Correct
null
6,452
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to multiply the denominator by the whole number to get your new denominator and the numerator stays the same
True_Correct
null
6,453
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to times the denominator by 6 and not the numorator.
True_Correct
null
6,454
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you have to turn 3 into a fraction first to divide it, the fraction is 6/1 and to do a dividing question on fractions, you have turn the 6/1 around which is 1/6. Then, 1/2 times 1/6 is 1/12.
True_Correct
null
6,455
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you need to flip it and times the denominator which =1over12
True_Correct
null
6,456
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you need to flip the 6 over into 1/6 then u multiply both numerators together to get one and the dinominater to get twelve .
True_Correct
null
6,457
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you need to flip the second fraction and change the division symbol to the multiplication symbol then you do 1 half times by 1 sixth which gives you one twelfth.
True_Correct
null
6,458
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you only have to times the denominator by the number which makes twelve so the answer is 1/12
True_Correct
null
6,459
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you times the denominator by the whole number and leave the numerator
True_Correct
null
6,460
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you times the bottom
True_Neither
null
6,461
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you times the denominator by the integer/whole number and that is 12 so it would be 1/12
True_Correct
null
6,462
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you times the denominator by the number and that makes 12 so the answer is 1/12
True_Correct
null
6,463
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you times the the two bottom numbers so it would be 1/12.
True_Neither
null
6,464
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you would do 1/2 divided by 6/1 because that is the same as 6 then instead of dividing you have to multiply so you would flip the 6/1 to make it 1/6 so it would be 1/2 X 1/6 which equals 1/12
True_Correct
null
6,465
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you would times 2 by 6 and add the one.
True_Correct
null
6,466
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because you would turn 6 into a fraction by putting it over 1 then divide the fractions by multiplying 1/2 by 1/6 which is 1/12.
True_Correct
null
6,467
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because, the denominator (which is 2) needs to be divided by the number (which is 6) and this gives you a denominator of 12. So, the numerator stays the same. My answer is 1/12
True_Correct
null
6,468
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because, when you divide fractions you have to multiply, so it’s the same thing as multiplying.
True_Neither
null
6,469
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this because... (your explanation will be seen by your teacher)
True_Neither
null
6,470
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is A because you do 1x6=6 and then you do 2x6=12 and if you make it into a fraction it would be 1/12.
True_Correct
null
6,471
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is because 1/2 x 6 = 6/12 divided by 6 = 1/12
True_Misconception
Mult
6,472
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is because 2x6=12 so 1/12
True_Correct
null
6,473
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is because you do KEEP, CHANGE, FLIP so you keep the 1/2, you change the % to x and then you flip 6/1 to 1/6. The sum is 1/2 x 1/6 which is 1/12
True_Correct
null
6,474
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is because you do flip and kiss so you turn 6 into 6/1 and then you flip so it is gonna be 1/6 and times by 1/2. you get 1/12.
True_Correct
null
6,475
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is the answer as I split 1/2 into 6 part s in my head to visualize it
True_Correct
null
6,476
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is the answer because 2 divided by 6 = 12 so the denominator will be 12. Because this was the only fraction with the denominator of 12, I knew that it would be the correct answer
True_Misconception
FlipChange
6,477
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is the answer because I did 2 times by six then I left the one on top so it makes 1/12.
True_Correct
null
6,478
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is the answer because I did 6 x 2 = 12 and so then I found out it must be something with the denominator as 12 and then I found it was 1/12 .
True_Correct
null
6,479
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is the answer because if you multiply 2 by 6 you get 12.
True_Correct
null
6,480
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this is ‘A’ because doing keep, change, flip you get 1 over 12
True_Correct
null
6,481
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this one because it is 1 is divided by 6 and 6 is divided by 2
True_Misconception
FlipChange
6,482
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this, because 1/12 times 6/1 is equal to 1/2.
True_Correct
null
6,483
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I think this, because when you divide fractions you flip the second one around and times the two. In this case the equation is 1/2 divided by 6/1 or 1/2 X 1/6 which is 1/12.
True_Correct
null
6,484
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I thinkn this because 1/2 divided by 6 equals 1/12.
True_Correct
null
6,485
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I timed 6 by two and and 1by 1
True_Correct
null
6,486
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I timed it by 2 and divided the numerator by 6 which makes 1/12
True_Neither
null
6,487
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I timed the six by 2 and timed the ones to make 1/12
True_Correct
null
6,488
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I times 6 X 2 and got the fraction 1/12
True_Correct
null
6,489
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I times 6 by 2 and got 1/12
True_Neither
null
6,490
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I times 6 by 2 and then leave the top number the same.
True_Correct
null
6,491
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I times one sixth by one second
True_Correct
null
6,492
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I times the bottom number with the whole number and that's what I got
True_Neither
null
6,493
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I times the denominator to the whole number then added the top number
True_Correct
null
6,494
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I timesed the 6 and 2 the put the 1 on top
True_Correct
null
6,495
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I timesed the denominator and numerator by 6
True_Neither
null
6,496
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I timesed the numerator and denominator by 6 and then divided the numerator to get 1
True_Correct
null
6,497
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I tried the KFC way, I turned the question into: 1/2 divide 6/1, 1/2 divide 1/6 and then, 1/2 times 1/6
True_Correct
null
6,498
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I turn 6 into a fraction which is 6/1 then turn it around to make 1/6 then times the two fractions by eachother.
True_Correct
null
6,499
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( \frac{1}{12} \)
I turned 6 into a fraction then did 1/2 divided by 6/1 which equals 1/12
True_Neither
null