row_id
int64
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36.7k
QuestionId
int64
31.8k
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QuestionText
stringclasses
15 values
MC_Answer
stringclasses
49 values
StudentExplanation
stringlengths
1
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Category
stringclasses
6 values
Misconception
stringclasses
35 values
13,300
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 equals 0.6 and what number over ten equals 0.6? 6
True_Correct
null
13,301
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 in its simplest form is 3/5 and then multiply 5 by 2 to get 10 and 3 by 2 to get 6 and you get 6/10
True_Correct
null
13,302
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 in simplest form is 3/5. To get the denominator 10, you multiply that by 2/2 and get 6/10
True_Correct
null
13,303
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 is also 3/5 and 6/10 = 3/5
True_Correct
null
13,304
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 is also 3/5 and that is 6/10.
True_Correct
null
13,305
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 is equivalent to 3/5 or 6/10
True_Correct
null
13,306
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 is equivalent to 3/5, which is also equal to 6/10
True_Correct
null
13,307
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 is equivalent to 6/10, as 9/15 = 3/5, and 6/10 = 3/5
True_Correct
null
13,308
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 is the same as 3/5 and 6/10 is the same as that.
True_Correct
null
13,309
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 is the same as 3/5 by dividing both sections by 3. And 3/5 is the same as saying 6/10 by timing both 3 and 5 by 2.
True_Correct
null
13,310
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 is the same as 3/5, which is also the same as 6/10.
True_Correct
null
13,311
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 simplified is 3/5 and if you times it by 2 you get 6/10
True_Correct
null
13,312
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 times by 2 will give you 18/30 then divide it by 3 will give you 6.
True_Correct
null
13,313
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15=3/10and that = 6
True_Neither
null
13,314
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15=3/5 and 3/5 = 6/10
True_Correct
null
13,315
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15s simplified is 3/5 and 3/5s with the denominator 10 is 6/10s
True_Correct
null
13,316
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15x2=18/30, and 10x3=30. Now the denominators are both 30. To work out A you must divide 18 by 3, since you multiplied by 3 to get to 30. 18 divided by 3 equals 6, so A is 6.
True_Correct
null
13,317
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/3=3 and 15/3=5 which makes 3/5. A is 6 since 10 is 2/3 of 15, and since 15 and 9 were divided by 3 to make 3/5, 6/2=3 and 10/2=5 which come together to make 3/5.
True_Correct
null
13,318
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 90 divided by15 = 6
True_Correct
null
13,319
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because A = 9x10/15.
True_Correct
null
13,320
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because A tenths=Ax3 thirtieths and 9 eighteenths=18 thirtieths so A=6.
True_Correct
null
13,321
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because A/10=9/15 and if you times 9/15 by 2 then you get 18/30. If you divide the number by three you then get 6/10 so 6 is the value of A.
True_Correct
null
13,322
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I added 9 up until it reached 15 and it equaled 6 but I don't think that was right
True_Neither
null
13,323
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I converted 9/15 to 3/5 and then to 6/10.
True_Correct
null
13,324
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I did 90÷15=6 which is the answer.
True_Correct
null
13,325
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I did the method where I multiplied 9 and 10 and divided my answer by 15 to get A.
True_Correct
null
13,326
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I didd 15-9 = 6.
True_Misconception
Additive
13,327
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I dinvited 90 by 15.
True_Correct
null
13,328
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I divided 15 by 3 and 10 by 2 to get the answer of 5 then I dived 9 by 3 too to get 3. Then i took three and multiplied it by 2 and did the same to 5 leaving me with 6/10
True_Correct
null
13,329
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I divided 15 by 3 and 9 by 3 and multiplex the answer by 2
True_Correct
null
13,330
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I divided 9/15's by 3, which equals 3/5's and then I timesed it by 2 and then I got 6/10's
True_Correct
null
13,331
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I found a common denominator which was 30.
True_Neither
null
13,332
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I found out the common numerator of the fractions.
True_Correct
null
13,333
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I have worked it out and the answer to my calculation ( mentaly ) is 6 ( C )
True_Neither
null
13,334
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I knew that 9/15 is equal to 3/5 and therefore must be equal to 6/10 so the value of A must be 6.
True_Correct
null
13,335
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I know that 10 and 15 are both factors of 30 so I did 9x23=18 and then 18/3==6.
True_Correct
null
13,336
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I know that 6/10 is equal to 9/15
True_Correct
null
13,337
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I know the fraction gas to be equal to 60 percent. I know that 6/10 is 60 percent. This means the two fractions are equal.
True_Correct
null
13,338
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I performed a test to decide what the value of A was, and the result was 6.
True_Neither
null
13,339
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I put the right side into the same denominator which is 10 so the nemorator is 6
True_Correct
null
13,340
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I rounded the denominator to 30 and 9x2 would be 18 and I also know they are equaled so I divided 18:3 and I got six
True_Correct
null
13,341
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I rounded the denominator to 30 and 9x2 would be 18 and I also know they are equaled so I divided 18:3 and got six.
True_Correct
null
13,342
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I shaded a circle with fifteen parts nine times to get 9/15 and did the same with a circle split into ten parts, so I shaded it so it looked like 9/15.
True_Correct
null
13,343
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I subtracted 9 by 3 ( because 9 come in 3x table) that equals to 6.
True_Misconception
Irrelevant
13,344
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I timesed 9/15 by 2 and got 18/30. I then timesed A/10 by 3 to get A/30. 18 divided by 3 is 6
True_Correct
null
13,345
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because I tried 3 as A in the beggining however that was wrong. I then decided to try 6 and it worked.
True_Neither
null
13,346
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because The denominator goes up in 5 and nomirator goes up in 3
True_Misconception
Additive
13,347
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because at the bottom you have to add five to the ten, and I figured we have to subtract three from the nine, since ten is in the second place of the sequence 5, 10, 15. So 6 would also be in the second place to the sequence 3,6,9.
True_Correct
null
13,348
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because both numbers are timed by three
True_Misconception
Irrelevant
13,349
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because both of the numerators have to have a common multiple, which is 3.
True_Misconception
Irrelevant
13,350
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because c is equivalent to 3/5 or 9/15
True_Correct
null
13,351
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because first I 9/15 and then I drew all the equivalents, and I got 6/10.
True_Correct
null
13,352
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because firstly I found the common denominator of both of the fractions which was 30. I worked out that 18/30 = 3a/30. Then, I did 18 divided by 3 which gave me the answer of 6. (my mum helped me)
True_Correct
null
13,353
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because half of 6 is 3 and half of 10 is 5. 3x3=9 and 5x3=15
True_Misconception
Irrelevant
13,354
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because i did 10 is 2/3 of 15 2/3 of 9 is 6
True_Correct
null
13,355
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because i did the math in my head.
True_Neither
null
13,356
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because i divided simplified 9/15 which is 3/5 then i found an equivelent of 3/5
True_Correct
null
13,357
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because i got both fractions to a denominator of 30 , then i saw it was 18/30th 18 divided by 3 is 6
True_Correct
null
13,358
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if 10 by 15 is just in the same multiplication and so 3 times 2 is 6
True_Misconception
Irrelevant
13,359
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if 9/15 is simplified, it turns into 3/5 which can also be expressed as 6/10
True_Correct
null
13,360
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if I half 10 then 5 is a factor of 15 so you times 3 to get to 15 and you divide 9 which is three but to get to tenths again i have to double it.
True_Correct
null
13,361
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if it is 6/10 and you simplify it it would be 3/5 and if multiplied by 3 you get 9/15 meaning that is the answer
True_Correct
null
13,362
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if it was 5 it would be half and it can’t be half it has to be bigger
True_Neither
null
13,363
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if the denominator is going up in 5’s so you need to do the same to the top so the numerator is 9 you decide that by 3and then times by 2
True_Misconception
Irrelevant
13,364
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if u do A times by 1.5 it is 9 so A is 6
True_Correct
null
13,365
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you are cross multiplying it you would have to times A by 15=9x10 then you would get 15A which equals 90 then 15A over 15 = 90 over 15 which makes A = 6. which makes the answer C.
True_Correct
null
13,366
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you convert 9/15 into thirtyths then it becomes 18/30 so then you have to change it into tenths which is 6/10 therefore the answer is C
True_Correct
null
13,367
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you covert both fractions over 30 they will both equal 18/30.
True_Correct
null
13,368
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you divide 9 by 3=3 and then do 15 by 3= 5 you get 3/5=6/10
True_Correct
null
13,369
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you divide 9/15 by 3 you get 3/5 and if you times that by 2 you get 6/10
True_Correct
null
13,370
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you do 10÷2=5 5×3=15 9÷3 =3 3×2=6
True_Correct
null
13,371
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you find a common denominator and then change numerators that is what you will get
True_Neither
null
13,372
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you find the percent of 9/15, you could match that percent to a/10. The percent of 9/15 is 60%. This means the number you want is 6 because 6/10 is equal to 60%.
True_Correct
null
13,373
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you go up in 3 you will get to 9.
True_Misconception
Irrelevant
13,374
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you make both of them 30 then each numerator is 18 and 6 times 3 is 18
True_Correct
null
13,375
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you make them 5ths and multiply 3/5 by 3 it gives you 9/15 so if you multiply A/5 by 2 it must give you 6/10.
True_Correct
null
13,376
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you simplified 9/15 it becomes 3/5. So then you have to do the same thing to the numerator to the denominater. So the answer is 6
True_Correct
null
13,377
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you simplify 6/10, you get 3/5, and if you simplify 9/15, you also get 3/5
True_Correct
null
13,378
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you simplify 9/15 to 3/5 then multiply by 2 you get 6/10
True_Correct
null
13,379
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you simplify 9/15 into 3/5 which is the same as 6/10
True_Correct
null
13,380
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you simplify 9/15 it is 3/5 and 3/5 is equivalent to 6/10
True_Correct
null
13,381
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you simplify them you can times 3 and 2 to get 6
True_Correct
null
13,382
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you simplify9/15 you get 3/5 and you times that by 10 and you get 6
True_Neither
null
13,383
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you times them a/10 by 3 you get ?/30 and 9/15 by 2 you get 18/30 and 6x3 is 18.
True_Correct
null
13,384
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because if you turn both to fifths it's 3/5 so to get it over 10 you have to times by 2 so it's 6/10.
True_Correct
null
13,385
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because in order to find a you multiply 9 and 10 to get 90 then you'd find that you have 15a once you cross multiply. On both sides you divide by 15a to get that a=6
True_Correct
null
13,386
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because is you simplify 9/15 you get 3/5 and 3/5 is the same as 6/10.
True_Correct
null
13,387
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because it is an equivalent fraction to 9/15
True_Neither
null
13,388
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because it is equivalent
True_Neither
null
13,389
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because it is the answer that I got.
True_Neither
null
13,390
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because it will have to be smaller than the denominator
True_Neither
null
13,391
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because it will make the fraction 3 fifths and 9 15ths is also three fifths
True_Correct
null
13,392
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because it would be 3/5 then 6/10
True_Correct
null
13,393
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because multiplying 10 by 1.5 makes 15 so to find a I did 9 divided by 1.5.
True_Correct
null
13,394
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because nine fifteenths divided by three equals three fifths times by two would equal six tenths so a equals six
True_Correct
null
13,395
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because of the fact that 9/15 is equal to 6/10
True_Neither
null
13,396
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because right denominator difference off divide left denominator of 3. So I think A becomes to 6.
True_Neither
null
13,397
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because six is in the three times table 😬
True_Misconception
Irrelevant
13,398
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because ten times 9/15 is 6.
True_Neither
null
13,399
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because the LCM of 10 and 15 is 30, and since 30 / 15 is 2, you have to do 9 * 2 / 3, which equals 6
True_Correct
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