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
13,200
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's C because 6/10 canceled down is 3/5, and that's equivalent to 9/15.
True_Correct
null
13,201
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's C because 9/15 is equal to 6/10.
True_Correct
null
13,202
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's C because 9/15 is equivalent to 3/5 and 6/10 is equivalent to 3/5 as well.
True_Correct
null
13,203
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's C because if you did 9+6 it would equal 15, also it is the same amount on a circle that I've colored in.
True_Neither
null
13,204
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's C because the equivalemt fraction would be 3/5 so it must be 6.
True_Correct
null
13,205
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's C because the equivalent fraction would be 3/5 so it must be 6
True_Correct
null
13,206
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it's c because if you times the denominator by 5 and the nominator by 3.
True_Neither
null
13,207
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think its C because 6/10 is the same as 9/15
True_Correct
null
13,208
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think it’s six because if you make the 9/15 into 18/30 then divide it by 3 it equals 6/10
True_Correct
null
13,209
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think that A=6 because when you convert both fractions to the same denominator, you must do to the top as you do to the bottom. Therefore, if A must be 18, and you must divide it by 3 (due to conversion), you will get 6 as your answer.
True_Correct
null
13,210
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think that C is the correct answer because I checked all of the options and option C worked,it made 6/10=9/15
True_Correct
null
13,211
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think that C is the correct answer because if you simplify 9/15 you get 3/5 . Then you make 3/5 into tenths which would be 6/10 so the missing number is 6.
True_Correct
null
13,212
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think that is the answer because I calculated it
True_Neither
null
13,213
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think that it is 6 because 15+1.5 x 10 so we need to divide 9 by 1.5 to find A. This is 6.
True_Correct
null
13,214
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think that it would be 6 because 9 is just over half of 15 and 6 is just over half than 10.
True_Neither
null
13,215
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think that the answer is 3/5, because 9/15 simplified is 3/5, and 6/10 simplified is also 3/5.
True_Correct
null
13,216
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think that the answer is C because f you change 9/15 into 5ths which is 3/5 and to get into 10ths I multiplied by 2.
True_Correct
null
13,217
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think the answer is 6/10 because I multiplied the top and the bottom and simplified it.
True_Correct
null
13,218
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think the answer is C because they are all in the 3 times tables and I have to make then equalivent.
True_Neither
null
13,219
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think the answer is this because it is equal.
True_Neither
null
13,220
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think the value of A is 6 because
True_Neither
null
13,221
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this answer because the simplest form of both is 3/5.
True_Correct
null
13,222
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this as 9/15 is equal to 18/30. To make the other fraction a denominator of 30, you must multiply by 3 and 6x3 ( to make it equal), is 18.
True_Correct
null
13,223
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this as when I drew 2 equal sized bars and split one into 15 equal pieces and shaded 9 of them it was equal to 6 equal pieces of the 10 pieced bar.
True_Correct
null
13,224
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because you know that 5x3=15 so you would do 9 divided by 3=3 the you would do 3x2 to get A.
True_Correct
null
13,225
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 1/3 of 15=5 and then times by 2 is 10. So, 1/3 of 9 is 3 and then times by two is 6 which means it must be C
True_Correct
null
13,226
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 and 15 both go into 30 and 10x3=30 and 15x2=30 and 9x2=18 so the other answer must be 18 and 18/3=6 so that is the answer.
True_Correct
null
13,227
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 doesn't go into 15 but 3 does, so if you do 15 divide by 3 then x 2 it makes 10 and if you do the same with the 9 it would be 9 divide by 3 x 2 which is 6
True_Correct
null
13,228
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 goes into 30 and so does 15 so you times the top by how ever many times you times the bottom to get to 30. If 9 times three is 18 and 6 times three is 18 then the answer must be 7.
True_Neither
null
13,229
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 into 15 is 2/3 and 2/3 of 9 is 6
True_Correct
null
13,230
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 is 2/3 of 15 and 6 is 2/3 of 9
True_Correct
null
13,231
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 is 2/3 of 15 so the answer must be 2/3 of 9 which is 6
True_Correct
null
13,232
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 is 2/3 of 15 which means that you have to work out 2/3 of 9 which is 6
True_Correct
null
13,233
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 minus 4 equals 6 which is the answer
True_Misconception
Additive
13,234
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 multiplied by 1.5 is 15 so 9 divided by 1.5 is 6 so the answer must be 6.
True_Correct
null
13,235
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 multiplied by 1.5= 15 so 1.5 multiplied by 6 = 9
True_Correct
null
13,236
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 times 9 = 90 so 15 times A must be 90 as well. So 90 divided by 15 is 6.
True_Correct
null
13,237
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 times 9/15 is 6.
True_Correct
null
13,238
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 x 1.5 15 so you do 9 divided by 1.5 which is six. To check your answer you do 6 x 1 which is 6 then half of 6 is 3 and 6 + 3 is 9.
True_Correct
null
13,239
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 x 1.5 = 15. Thus to keep the values of the fractions, you must multiply the other number in the fraction by the same. Because we don't have that number, we do the inverse to the number on the other fraction and we get 9 divided by 1.5 and the result is 6.
True_Correct
null
13,240
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10 x 15 is 1.5 sprints the top by 1.5
True_Neither
null
13,241
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10/15 is 2/3. 2/3 multiplied by 9 is 6, thus giving the answer 6/10
True_Correct
null
13,242
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10and 15 both go into ten so , if you do the multiplying by 2 and 3 to get to 30, to make a equivelent, it has to be ___x3=18 because 9x2 is 18 so the answer for A is 6.
True_Correct
null
13,243
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 10x9=90 and 90:15=6 so the answer is 6
True_Correct
null
13,244
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15 divided by 10 = 1.5 and 9 divide by 1.5 = 6
True_Correct
null
13,245
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15 divided by 10 = 1.5 and 9 divided by 1.5 = 6
True_Correct
null
13,246
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15 divided by 10 is 1.5 so how many 1.5s go into 9 which is 6
True_Correct
null
13,247
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15 divided by 10 is 1.5 so then you have to do 9 divided bu 1.5 which is 6.
True_Correct
null
13,248
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15 divided by 10=1.5 so a=9divided by 1.5 =6
True_Correct
null
13,249
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15 divided by 3 = 5 5 times 2 = 10 so 9/15 would be 6/10
True_Correct
null
13,250
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15 goes down to 10 so A must be 6 as 9 goes down to 6.
True_Misconception
Irrelevant
13,251
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15-9 is 4. So 10-4 is 6.
True_Misconception
Additive
13,252
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15./.3=5 and 9./.3=3=3/5 which is equivalent to 6/10
True_Correct
null
13,253
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15x2=30 and 9x2=18 and 10x3=30 and 18÷3=6.
True_Correct
null
13,254
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15x2=30 and 9x2=18. 18 divided by 3 equals 6.
True_Correct
null
13,255
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 15x6 equals 90
True_Correct
null
13,256
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 18/30 is equivalent to 9/15 and then you can simplify 18/30 to 6/10 that means that 6/10 is equivalent to 9/15.
True_Correct
null
13,257
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 2 tenths as a fraction = 3 fifteens as a fraction. 4 tenths = 6 fifteens. 6 tenths = 9 fifteens. So it's C.
True_Correct
null
13,258
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 2 thirds of 9 is 6.
True_Correct
null
13,259
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 3 fives = 15 and 3 threes = 8 and 2 threes = 6.
True_Neither
null
13,260
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 3/5 is 9/15 and 3/5 of 10 is 6.
True_Correct
null
13,261
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 3/5 is equal to 6/10.That means that 9/15 is equal to both of those fractions
True_Correct
null
13,262
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 5 3s go into 15 and 3 3s go into 9 which makes the new fraction 3 5ths which out of ten is 6 tens.
True_Correct
null
13,263
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6 is 2/3 of 9
True_Correct
null
13,264
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6 is the right answer
True_Neither
null
13,265
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6 over 10 and 9 over 15 can both be simplified to 3 over 5
True_Correct
null
13,266
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6 over 10 is the same as 3 over 5 and 3 over 5 times by 3 = 9 over 15
True_Correct
null
13,267
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6 tenths is the equfilant of 9 fifteens
True_Correct
null
13,268
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10 and 9/15 are both 3/5 and that means they are equivalent
True_Correct
null
13,269
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10 can be simplified to make 3/5 and 9/15 can be simplified to 3/5
True_Correct
null
13,270
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10 divided by 2 than times by 3 = 9/15
True_Correct
null
13,271
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10 is 3/5 and 9/15 is the same as 3/5 as well so the value of a = 6
True_Correct
null
13,272
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10 is equivalent to 9/15
True_Correct
null
13,273
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10 is equivalent to 9/15
True_Correct
null
13,274
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10 simplified = 3/5 (divide by 2) then you convert it into 9/15 (multiply by 3)
True_Correct
null
13,275
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10*3= 18/30. 18/30 divided by 2 = 9/15
True_Correct
null
13,276
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 6/10=18/30 and 9/15 does as well.
True_Correct
null
13,277
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 and 15 both are multiples of 3 and 9 is 3x3 and 6 is 2x3. So as 10 is 5 less than 15 I worked out that the answer is 6/10
True_Misconception
Irrelevant
13,278
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 divide by 3=3x3=6
True_Misconception
Irrelevant
13,279
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 divided by 15 = 0.6 then you have to do 6 divide by 10= 0.6 so the answer is 6.
True_Correct
null
13,280
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 divided by 3=3 and 15 divided by 3=5 so the simplest form would be 3/5, but if you make it a bit higher then it would be 6/10 which is equivalent to 9/15
True_Neither
null
13,281
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 divided by fifteen is 0.6 and A divided by ten is the same answer so I multiplied 0.6 by ten and it equalled 6
True_Correct
null
13,282
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 divided by three is three so that is is equal to 3/5 and if you times it by 2 you get 6/10
True_Correct
null
13,283
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 is in the 3 times table then the next one is 6
True_Misconception
Irrelevant
13,284
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 over 15 is equivalent to 3 over 5. I know this because both the numerator and the denominator is divisible by 3. and if you double 5, it's 10 and double 3, 6. Therefore, 6/10
True_Correct
null
13,285
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 over 15 timesed by 2 is 18 over 30 and 18 divided by 3 is 6.
True_Correct
null
13,286
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 plus 6 equals 15 so if you add 6 to the numerator of the first one it should be the same
True_Misconception
Additive
13,287
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 times 10 is 90. And 90 divided by 15 is 6. So 9 is 60% of 15.
True_Correct
null
13,288
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9 x 2 is 6
True_Neither
null
13,289
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/ 15 = 3/5 and in a different form 3/5 = 6/ 10 so the answer is 6
True_Correct
null
13,290
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 = 0.6 and what number over 10 equals 0.6? 6
True_Correct
null
13,291
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
13,292
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 = 3/5 and then 3 times 2 = 6 and 5 times 2 = 10 so the answer is 6/10
True_Correct
null
13,293
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 = 3/5 so 3.5 = 6/10.
True_Correct
null
13,294
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 = 3/5 so you have to times 2 by 5 to get 10 as the denominator and then the same to the 3 which gets 6, 6/10
True_Correct
null
13,295
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 = 60 and 6/10 = 60
True_Correct
null
13,296
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 as a 1/5 is 3/5. Therefore 3/5 a 1/10 is 6/10.
True_Neither
null
13,297
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 can be simplified down to 3/5 and 3/5 is equivalent to 6/10.
True_Correct
null
13,298
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 divided by 3 equals 3/5. Times 3/5 by 2 and it makes 6/10.
True_Correct
null
13,299
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
I think this because 9/15 divided by three is 3/5, then times 3/5 by two which is 6/10
True_Correct
null