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
13,800
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you make the denominaters common you do 18/3 =6
True_Correct
null
13,801
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you simplified 9/15 you get 3/5 and then you double it to make 6/10
True_Correct
null
13,802
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you simplify 9/15 it equals 3/5 and 3/5 is equivelent to 6/10
True_Correct
null
13,803
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you simplify 9/15 it is 3/5 timesed by 2 is 6/10
True_Correct
null
13,804
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you simplify 9/15 to make the denominator 10 you are taking away 1/3 and 1/3 of 9 is 3 and 9-3=6
True_Neither
null
13,805
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you simplify 9/15 you get 3/5
True_Correct
null
13,806
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you simplify 9/15 you get 3/5 which is equivalent to 9/15
True_Correct
null
13,807
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you started from 3/5 you would just add 3 on the top and 5 on the bottem
True_Misconception
Additive
13,808
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you take 1/5 you will be left with 6
True_Neither
null
13,809
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you turn 9/15 into 3/5 then you double it then you would get 6/10 which is equivalent to 9/10
True_Neither
null
13,810
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because if you work it out you get this
True_Neither
null
13,811
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because instead of doubling 10 it doubled half the number so it would add 3
True_Neither
null
13,812
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because it equals 18/30 that divided by 3 top and bottom is 6/10
True_Correct
null
13,813
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because it goes 3 6 9 then 5 10 15 so the number in the middle is 6/10
True_Misconception
Irrelevant
13,814
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because it is equivalent to 9/15
True_Correct
null
13,815
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because it is only 3 minus 9 so it is 6
True_Misconception
Additive
13,816
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because it is the 3 times table. it will be 3/5, 6,10, 9/15
True_Correct
null
13,817
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because it is the biggest number
True_Neither
null
13,818
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because it needs to be equlivilante
True_Neither
null
13,819
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because its 2 off 10 in the 2 times table
True_Neither
null
13,820
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because its 2 off 10 in the 2 times table
True_Misconception
Irrelevant
13,821
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because its equal to 3/5 which is equal to 9/15
True_Correct
null
13,822
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because its going up in three
True_Neither
null
13,823
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because its the only one that can fit
True_Neither
null
13,824
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because nine fifteens simplified is 1 third then x 2 is 6 tenths
True_Neither
null
13,825
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because nine over five = three over five and if i double three over five i get 6 over ten which is also equal to 3 over 5
True_Neither
null
13,826
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because on 9/15 they are 6/15 away from one whole so they have too be 6/10 off one whole
True_Neither
null
13,827
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because one below 9 is 6 becausee 15 goes in to 3 and 6.
True_Neither
null
13,828
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because simplified 9/15 is 3/5 so you times the bottom by 2 and the top by 2
True_Correct
null
13,829
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because simplify 15 to over ten needs to divide by 1.5 so you have to do the same to the top 9 divided by 1.5=6=a
True_Correct
null
13,830
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because ten is two thirds of 16 there for A has to be two thirds of 9
True_Neither
null
13,831
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the bottom is 10 then on the next fraction its 15 so its like 5 x 3 since I understood that its like 3/5 it means they both keep multipling so the answer has to be 6
True_Correct
null
13,832
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the common denominator is 30 and the 9 will become 18 and we have to do 10x3 to get 30 and 6x3 is 18
True_Correct
null
13,833
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the denominator was timesed by two so the numirator had to be timesed aswell
True_Neither
null
13,834
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the difference between 10 and 15 is 0.5 and 6 times 0.5 is 9
True_Neither
null
13,835
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the difference between 9 and 15 is 6 and 10 subtract 6 is 4
True_Misconception
Additive
13,836
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the equivelent fraction of 9 15ths is 3 5ths double that is 6 tenths
True_Correct
null
13,837
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the equivilant fraction is 3/5 and times that by 2
True_Correct
null
13,838
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the equivilant fraction is 3/5 and times that by 2
True_Correct
null
13,839
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the first common multiple is 30 and 18/30 is 6/10
True_Correct
null
13,840
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the fraction can be simplified to 6 over 10
True_Neither
null
13,841
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the nearest common denominator is 30 and 9 times 2 is 18
True_Neither
null
13,842
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the simplest form is both 3/5
True_Correct
null
13,843
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the simplest form of both of them is 3/5 and 2 times by 5 is 10 and 2 times 3 is 6
True_Correct
null
13,844
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because the thing 15 and 10 have in common is that they are both in the 5 times table, 3x5=15 and 2x5=10. then with 9/15 you do 3x3 and then with A/10 you do 2x3=6, making it 6/15.
True_Misconception
Irrelevant
13,845
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because there is 1 third added from the bottom so add 1 third to the top
True_Neither
null
13,846
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because they are equivalent, 9 fifteenths divided by 3 and times by 2 is 6 tenths
True_Correct
null
13,847
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because three goes into 6 as well so that is your answer
True_Misconception
Irrelevant
13,848
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because times by 3 and double it
True_Neither
null
13,849
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because to get 15 by multiplying 10 with something else, you have to divide 15 by 10 which is 1.5. then you divede 9 by 1.5 which is 6
True_Correct
null
13,850
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because to get from 10 - 15 yo divide by two and multiply by three so you do the same to nine but the inverse way round and you get 6
True_Neither
null
13,851
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because two-thirds of 15 is 10 so two-thirds of 9 is 6.
True_Correct
null
13,852
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because we found out how much if the denominator was 5 and it was 3/5 and then we doubled it and it was 6/10
True_Correct
null
13,853
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because we simplified 9/15 which =3/5 double both of them which =6/10
True_Correct
null
13,854
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because whatever you do to the top you do the bottom, so the simplified fraction would be 3/5 the made it bigger to 6/10
True_Correct
null
13,855
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because when u simplify 9 it becomes 6
True_Neither
null
13,856
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because when you simply 9 over 15 you get 3 over 5 then times by 2 to get 6 over 10
True_Correct
null
13,857
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because when you work it out you get that
True_Neither
null
13,858
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because with 10 and 15 your adding five so I had four then added five and got nine
True_Misconception
Additive
13,859
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you can put them over /30 which would be 18/30 which means that the answer must be 6/10 which also makes 18/30
True_Correct
null
13,860
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you change the denominators to 5ths so you get 3/5
True_Correct
null
13,861
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you convert them in to fifths and 3 fifths equals 6 tenths
True_Correct
null
13,862
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you convert them in to fifths and three fifth equals dix tenths.
True_Correct
null
13,863
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you divide 15 by 3 then times 2
True_Neither
null
13,864
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you get a common denominator of 5 and 9/15 is equal to 3/5 and 5 x 2 =10 and 3 x 2=6
True_Correct
null
13,865
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you have to divide 9 fifthteenths by 3 and you get 3 fifths and then you times it by 2 to get 6 tenths
True_Correct
null
13,866
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you have to divide the numbers by the same thing
True_Neither
null
13,867
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you have to do the top and the bottom
True_Neither
null
13,868
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you need 1/2 of A then you need to *3 so to work it out you do the reverse 9/3=3 *2=6
True_Correct
null
13,869
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you need to make them the same denominators
True_Correct
null
13,870
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you need to see the nabers because ther difrent
True_Neither
null
13,871
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you need to simplify 9/15 which equals 3/5 so the order goes 3/5,6/10 then 9/15
True_Correct
null
13,872
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you simperflie both fractions to fiths and then times it by 2
True_Correct
null
13,873
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you simplify it and 3/5 is equivalent to 6/10
True_Correct
null
13,874
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you will have to make it into fifths and 3/5 is the same as 9/15 so the answer is 6
True_Correct
null
13,875
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
because you would go from 5 to 10 to 15 so the numerators might go from 3 to 6 to 9
True_Neither
null
13,876
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
becose thirty tope number is a nine.
False_Neither
null
13,877
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
becsuse 9/15 symperfider =3/5 and 3/5 is the same as 6/10
True_Correct
null
13,878
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
becuase 9/15 is more then half of 15 and 6 is the only one that is a little over half also.
True_Neither
null
13,879
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
both is 18/30 then divide by 3 is 6 and gives you the answer 6/10
True_Correct
null
13,880
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c as i took 1/3 of 9 away from itself to get 6.
True_Correct
null
13,881
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c because 15 divided 10=1.5 so 9 divided by 1.5=6
True_Correct
null
13,882
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c because 15 divided by y 10 is 2.5. test each option by multiplying it by 1.5 and thenn you can see which one gives you 9.
True_Correct
null
13,883
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c because i found the lcm andd divided the numerator by 3.
True_Misconception
Irrelevant
13,884
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c because if you divide it by 3 you get 3/5 then you times by 2 to get 6/10.
True_Correct
null
13,885
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c because if you take away 3 from ninr it becomes a six so c should be 6.
True_Neither
null
13,886
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c because it is equivalent to 9/15
True_Neither
null
13,887
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c because it is greater than half of what you asked.
True_Neither
null
13,888
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c cuz 2/3 of 15 = 10 so 2/3 of 9 = 6
True_Correct
null
13,889
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
c. the ratio has to be the same on top and bottom.
True_Neither
null
13,890
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
cause 18/30 is the same as 9/15
True_Correct
null
13,891
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
changed into fractions out of 5 firsrt
True_Neither
null
13,892
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
closest to 5 which is in bothe times table
True_Misconception
Irrelevant
13,893
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
closest to what i picked last time apart from 3
True_Neither
null
13,894
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
common factor is 30 so 15*2 and 9*2 10 *3 and A*3 = 18 so a is 6
True_Correct
null
13,895
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
denominator been times by 1.5 so 9 divided by 1.5 = 6
True_Correct
null
13,896
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
did a sum and got it
True_Misconception
Additive
13,897
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
divide both by 3 and you would get 3/5 then i times it by 2 to get 6/10
True_Correct
null
13,898
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
divide both fractions so their denominators are 5, both numerators are 3 so times that by two to get 6 over 10
True_Correct
null
13,899
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
divide by 3 snd 3 fifths equals 6 tenths.
True_Correct
null