row_id
int64
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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
13,100
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know that 9/15 can equal 3/5 and 5 times 2=10 so then I did 3 times 2=6 so A=6.
True_Correct
null
13,101
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know that 9/15 equals 3/5 and also I found out that you need to times 3 and 5 by two witch means A=6.
True_Correct
null
13,102
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know that A=6 because 10*9/15 is 6
True_Correct
null
13,103
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know that it is 6
True_Neither
null
13,104
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know that it is 6 because 9/15 simplified is 3/5 and 3/5 doubled is 6/10
True_Correct
null
13,105
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know that it just is.
True_Neither
null
13,106
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know the answer is c because 9/15 can be divided by 3 and time see by two to get 6/10 which is a/10 therefore the answer is 6
True_Correct
null
13,107
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this as the difference between 10 and 15 is that they have add half of itself so i then divide the 9 by three and double it which gave me the answer of 6
True_Correct
null
13,108
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because 15 divided by 1.5 is 10 so 9 divided by 1.5 is 6
True_Correct
null
13,109
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because 6 divided by 2 times by 3 equals 9.
True_Neither
null
13,110
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because 9/15 is equivalent to 3/5 and 3/5 is also equivalent to 6/10 so 6 is the value of A
True_Correct
null
13,111
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because 9/15 simplified is 3/5 x 2= 6/10
True_Correct
null
13,112
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because A x 3 = 18, and 18 divided by 3 is 6.
True_Correct
null
13,113
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because I changed 15 into thirds the answer I got was 2 thirds I doubled it and got 6 tenths
True_Correct
null
13,114
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because I turned 9/15 into thirty’s which was 18/30 then I simplified it into tenths which was 6/10.
True_Correct
null
13,115
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because I watched the video you posted to help me and then I worked it out with him and got the answer
True_Neither
null
13,116
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because I watched the video you posted to help me and then I worked it out with him and got the answer.
True_Neither
null
13,117
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because if you find the common denominator = 30 you would get 18 thirtyths and 18 thirtyths for the second one so you would divide 18 by 3 which equals 6
True_Correct
null
13,118
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because they would both be equivalent
True_Correct
null
13,119
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because when I changed 15 into thirds the answer I gott was 2 third I doubled it and got 6 tenths
True_Correct
null
13,120
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I know this because you have to do 3 divided by 9 to get the 5ths and 5x2 to get the tenths which gives you 6/10
True_Correct
null
13,121
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I looked at both of the denominators and worked out that 5 when into both of them, then guessed that it may have been 6/10. To check whether this was right, I converted them into decimals and both answers were 0.6
True_Correct
null
13,122
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I looked at the answers and then looked at 9/15. 9/15 is more then half so it cant be A or B and then D id a bit too much so the only answer left is C.
True_Neither
null
13,123
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I made the denominater both into 30 then the 9 was turned into 18 and I knew that A would also be 18 then I did 18÷3=6
True_Neither
null
13,124
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I made the denominators the same and then divided by 3
True_Neither
null
13,125
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I made the fraction the same as ?/10 same and simplified.
True_Correct
null
13,126
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I mostly just guessed but what I did was I changed them both into 30ths which is 9/15=18/30 so then I divided 18 by 3 and got 6 so that was my awnser.
True_Correct
null
13,127
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I multiplied 9/15 by two the divided it by three
True_Correct
null
13,128
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I multiplied the denominator by two
True_Neither
null
13,129
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I noticed they were in the five times table so I multiplied it by 2
True_Misconception
Irrelevant
13,130
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I picked c because I knew 9/15 was 3/5 of 15 so I new that 6 was 1/3 of 10 because you do 2*3 and get 6.
True_Neither
null
13,131
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I picked c because i knew 9/15 was 3/5 of 15 so i new that 6 was 3/5 of 10 because you do 2*3 and get 6
True_Correct
null
13,132
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I picked this because 9/152=18/30 which is 6 tenths of a percent, so the answer would be 6.
True_Correct
null
13,133
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I picked this because 9/15×2=18/30 and 18/30÷3=6/10 so the answer would be 6.
True_Correct
null
13,134
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I put A/10 into A/5 so 5 went into 15 3 times so I divided 9 by 3 and I got 3 so it equals 3/5
True_Misconception
Irrelevant
13,135
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I put C because 6 tenths = three fifths and when you times that by three you get 9 fifteenths.
True_Correct
null
13,136
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I put them at there lowest common multiple
True_Correct
null
13,137
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I put them both over 30 as the denominator an they both were 18.
True_Neither
null
13,138
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I put them both over 30 as the denominator and they were both 18.
True_Correct
null
13,139
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I put this because this because the difference between 9 and 15 is 6 and 4 and 10 is 6
True_Misconception
Additive
13,140
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I reduced 9/15 to 3/5. Then I worked out 5 went into 10 twice so I multiplied 3x2 and this gave me 6.
True_Correct
null
13,141
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I saw it as a pattern. the pattern started at 3 over 5 then 6 over 10 then 9 over 15
True_Correct
null
13,142
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I saw thatt 10 is in the same multiple as 15 and then I realized that there was a multiple of 9 there as well
True_Misconception
Irrelevant
13,143
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I showed 9/15 in its lowest term which is 3/5 and then multiplied top and bottom by 2
True_Correct
null
13,144
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplifed the 10 (denominator) and then used trial and error for the numerator and double checked the equation.
True_Neither
null
13,145
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 15 to 5 because 5 is the common factor between 10 and 15 then I got the answer 3/5 next I multiplied it by 2 to get 10 ths and recieved 6/10
True_Correct
null
13,146
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9 and 15 to 3 and 5 then doubled the 3 and 5 to make 6 and 10
True_Correct
null
13,147
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9 fifteenths to 3 fifths then times it by 2 to get 6 tenths
True_Correct
null
13,148
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9 fifteenths to 3 fifths then times it by 2 to get 6 tenths
True_Correct
null
13,149
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 by dividing top and bottom by three. So 9/15 = 3/5. I know that 3/5 is equivalent to 6/10
True_Correct
null
13,150
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 then it was easier to work out what the answer was
True_Neither
null
13,151
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 to 3/5 , then if I times-ed 5 by 2 it would make 10. So I times-ed the 3 to make 6 - 6/10.
True_Correct
null
13,152
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 to 3/5 and then changed 3/5 to 6/10, therefore the value of A is 6.
True_Correct
null
13,153
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 to 3/5. 10/5= 2. Then 3x2 = 6. So the answer is C.
True_Correct
null
13,154
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 to get my answer.
True_Neither
null
13,155
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 to its lowest terms, that being 3/5. Then I turned that fraction's denominator to ten, multiplying the top by two as well.
True_Correct
null
13,156
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 to make 3/5. Then I divided 10 by 5 which is 2 and then multiplied 2 by 3 which is 6.
True_Correct
null
13,157
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 which is 3/5. Then, I noticed that to get from 5-10 you have to scroll by 2. 3 times two is 6 so 9/5=610
True_Correct
null
13,158
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 which was 3/5 then I did 10 divided by 5 which was 2 and multiplied by 3 which gave me 6
True_Correct
null
13,159
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified 9/15 which was 3/5 then I did 10 divided by 5, which is 2 and multiplied by 3, which gave me 6.
True_Correct
null
13,160
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified nine fifteenths and and got three fifteenths and double three is six
True_Neither
null
13,161
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplified the fraction 9/15 is the same as 3/5 or 6/10
True_Correct
null
13,162
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I simplify 9/15 to 3/5 and then double it to get 6/10
True_Correct
null
13,163
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I solved this because. 3/5 is equal to the 2 fractions so the answer is 6. The answer is 6.
True_Correct
null
13,164
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I the denominator the same by multiplying it by 2 and dividing it by 3. I did this to 9.
True_Correct
null
13,165
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think 6 because 9/15 simplified is 3/5 and 3/5 over 10 is 6/10
True_Correct
null
13,166
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think 6 because its in the three times table and if you add three you get nine
True_Misconception
Irrelevant
13,167
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think 9/15 = 3/5 then you times by 2 to get 6/10
True_Correct
null
13,168
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think C because 10 is 2/3 of 15 and 6 is 2/3 of 9
True_Correct
null
13,169
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think C because 15 5 is 3 and 3/5 over ten is 6/10.
True_Correct
null
13,170
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think C because 15 ÷ 5 is 3 and 3/5 over ten is 6/10
True_Neither
null
13,171
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think C because 6 fits into 9 and 2o fits into 15
True_Neither
null
13,172
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think C because 6/10 needs to be tripled to 18/30 and then you half it to answer 9/15
True_Correct
null
13,173
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think C because it is 2/3
True_Neither
null
13,174
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think C because the ratio has to be the same on top and bottom.
True_Correct
null
13,175
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think C because when 6/10 and 9/15 are both simplified to its lowest form you get 3/5
True_Correct
null
13,176
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think because 9/15 is more than half
True_Neither
null
13,177
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think because I worked out it in fifths which was 3/5 and then turned it into tenths which is 6/10
True_Correct
null
13,178
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is 6 because if you add 3 more to that you would get 9 .
True_Neither
null
13,179
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is 6 because 9 and 15 are multiples of 3.
True_Misconception
Irrelevant
13,180
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is 6/10 because if you simplify 9/15 it is 1/3 or 6/10!
True_Neither
null
13,181
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because
True_Neither
null
13,182
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because 1/3 of 15 is 5 and 1/3 of 9 is 3 so you take it away and get 6/10.
True_Correct
null
13,183
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because 9/15 = 3/5 = 6/10
True_Correct
null
13,184
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because 9/15 in its lowest term is 3/5 and to make 3/5 have 10 as a denominator you need to multiply by 2 so you get 6/10
True_Correct
null
13,185
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because 9/15 is the same as 3/5 and 6/10 is also equivalent to this.
True_Correct
null
13,186
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because the denominators are 10, and 15, and the difference between those two is 2/3. Similarly, if A is 6, then 6 and 9 are also two thirds of a difference.
True_Correct
null
13,187
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because the denominators, which are 10 and 15, are the difference of 2/3, and so if A is 6, the difference between 6 and 9 is 2/3 as well.
True_Correct
null
13,188
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because the denominators, which are 10 and 15, are the difference of 2/3, and so if A is 6, the difference between 6 and 9 is 2/3 as well.
True_Correct
null
13,189
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because the denominators, which are 10 and 15, are the difference of 2/3, and so if A is 6, the difference between 6 and 9 is 2/3 as well.
True_Correct
null
13,190
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because the denominators, which are 10 and 15, are the difference of 2/3, and so if A is 6, the difference between 6 and 9 is 2/3 as well.
True_Correct
null
13,191
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is C because the denominators, which are 10 and 15, are the difference of 2/3, and so if A is 6, the difference between 6 and 9 is 2/3 as well.
True_Correct
null
13,192
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is c because I did 10 x 9 to get 90 then divided it by 15 to get 6
True_Correct
null
13,193
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is c because i did 3 divide by 9 and then i got 3 then i did 3 times by 2 which gave me 6.
True_Correct
null
13,194
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it is equivalent because 9/15and if I divid 9/15 by three it will make 3/5 so 3/5 is like 6/10
True_Correct
null
13,195
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it this because its multiplyed by three
True_Misconception
Irrelevant
13,196
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it would be 6 because both of them simplified are 3/5.
True_Correct
null
13,197
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it would be 6 because both of them simplified are 3/5.
True_Correct
null
13,198
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's 6 because it won't be any of the other answers
True_Neither
null
13,199
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's C because 15-6=9
True_Misconception
Additive