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
12,800
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 is 3/5 and 3/5 of 10 is 6.
True_Correct
null
12,801
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 is 3/5 and 6/10 is a similar fraction
True_Correct
null
12,802
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 is 3/5 which is also 6/10
True_Correct
null
12,803
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 is equivalent to 3/5 and if you multiply the denominator and numerator by 2 you get 6/10
True_Correct
null
12,804
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 is equivalent to 3/5 which is equivalent to 6/10.
True_Correct
null
12,805
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 is the same as 6/10
True_Correct
null
12,806
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 simplified is 3/5 and that times 2 is 6/10.
True_Correct
null
12,807
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 simplified is 3/5 then makes 6/10.
True_Correct
null
12,808
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15 simplified is 3/5 which is equivalent to 6/10
True_Correct
null
12,809
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15=3/5 so to get 3/5 from a/10 a would have to be 6
True_Correct
null
12,810
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9/15x2= 18/30 10x3=30 so you find out what x3=18 and that is 6
True_Correct
null
12,811
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9X10= 90 then divide the 90 by 15 which =6.
True_Correct
null
12,812
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9x2 is 18 and 10 x 3=30so 18 divided by 3 is 18
True_Correct
null
12,813
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because 9×10=90 then divide it by 15 which is 6
True_Correct
null
12,814
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because A/10 is A/30 and 9/15 is 18/30. So we divide 30 by 3 to get 10 so A divide by 3 is 6.
True_Correct
null
12,815
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because A/10, 9/15 is same. A x 3, 10 x 3 = 18/30 9 x 2, 15 x 2 = 18/30
True_Correct
null
12,816
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because Every time we agree it increases by five
True_Misconception
Irrelevant
12,817
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I changed them to the lowest common denominator and whatever you do to the top you do to the bottom
True_Correct
null
12,818
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I did 3 over 5 at first then I ×3 and got 9 over 15 so then answer must be 6 Oh and sorry because on the other question I tried to put a but it didn't want to work
True_Neither
null
12,819
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I divide 15 by 10 which gives me 1.5 then I divide 9 by 1.5 and I get 6
True_Correct
null
12,820
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I divided by 3 then x2=6/10
True_Correct
null
12,821
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I drew it out on a bar and nine fifteenth were the same as six tenths
True_Correct
null
12,822
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I have to double 9/15 to 18/30 and 10 into 30 is 3 so i have to find out what 18 divided by 3 equals and it equals 6
True_Correct
null
12,823
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I know 9/15=3/5 and to make it denominator 10, I need to times it by 2 which means value of a is 6
True_Correct
null
12,824
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I know my place value and that is correct
True_Neither
null
12,825
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I made them both into 1/5.
True_Neither
null
12,826
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I tried the maths and then I got this and I don't know if I'm right
True_Neither
null
12,827
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I turned it into 30ths and divided the 10 by 3 to get 6
True_Correct
null
12,828
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because I worked out what /5 which was 3/5 because 15/3=5 and then doubled both of them
True_Correct
null
12,829
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because all the answers do not work apart from c because 6/10=3/5 and so does 9/15.
True_Correct
null
12,830
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because divide 9 by 3 then times it by 2
True_Correct
null
12,831
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because divide 9/15 by 5 and you get 3/5 so double that and you get 6/10
True_Neither
null
12,832
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because five plus ten is fifteen
True_Neither
null
12,833
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because for 9 to get to 15 you add 6 so therefore the numerator of you fraction or number would be 6
True_Neither
null
12,834
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because fraction a is one third less than fraction b so subtract one third from 9 and get 6
True_Neither
null
12,835
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because i made the denominator equal then made the number equal
True_Correct
null
12,836
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because i think it is that awnser
True_Neither
null
12,837
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because i used a fraction wall and 9/15 was equivalent to 6/10
True_Correct
null
12,838
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if You add the original by six it’s the same fraction
True_Neither
null
12,839
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if it was 3 it would have to be x by 6 so it would be the same and then 18dived by 3 is 6
True_Correct
null
12,840
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if it's 10 and 15, 15 equals times three and 10 equals times two of 5 both multiples of 5 and 3 and 9 are in the same times group so it would be 6
True_Misconception
Irrelevant
12,841
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you cancel down 9/15 = 3/5 which is = to 6/10
True_Correct
null
12,842
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you change both denominators to 30, 9 would become 18 and both fractions are equivalent so they would both be 18/30 and if you simplify to 10 then you get 6/10
True_Correct
null
12,843
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you convert it to /30 then the answer is 6.
True_Correct
null
12,844
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you convert the 15 to a 10 it would come out as 6/10
True_Neither
null
12,845
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you divide 10 by 15 and do the same to 9 you get 6
True_Correct
null
12,846
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you divide 15 by 9 you will get 3 but times it by 3 so it is 9 do the same on the anonymous side which is 2 X3
True_Neither
null
12,847
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you divide 9 over 15 by their Highest Common Factor which is 3 you get that every 5 there is a 3.
True_Neither
null
12,848
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you divide 9/15 by 3 you get 3/5. You then find the common multiplier to make it tenths. So 3/5 multiplied by 2 is 6/10 which is the same as 9/15.
True_Correct
null
12,849
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you divide a/10 by 2 and 9/15 they both equal the same
True_Neither
null
12,850
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you do 3 5ths you will get 6 10ths and then you will get 9 15ths
True_Correct
null
12,851
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you half 10 and times the answer by 3 it is 15 so I divided 9 by 3 and times it by 2, which the answer is 6.
True_Correct
null
12,852
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you simplifiy 9/15 to 3/5 then double it you will get 6/10
True_Correct
null
12,853
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you simplify 6/10 you will get 3/5 and if you then times it by 3 it will give you 9/15.
True_Correct
null
12,854
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you simplify 9/15 to 3/5 and then turn into /10 it will be 6/10
True_Correct
null
12,855
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you simplify it then it will be 3/5 and you × by 2
True_Correct
null
12,856
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you simplify the equivalent fraction it gives you 3/5 and then is you find 3/5 of ten it gives you A
True_Correct
null
12,857
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you times if you double 15 and 9 which = 18/30. 18/30 = 6.
True_Neither
null
12,858
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you use 3 instead and dubble that you get 6 🦄🦄🦄🦄🦄🦄🦄🦄🦄🦄
True_Neither
null
12,859
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because if you x 9/15 by two you get 18/30 so you need to divide 18 by3 which equals 6
True_Correct
null
12,860
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because in fives the numenator is 3 so it must be 6
True_Neither
null
12,861
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because in the 3 times table theres 15 and 9 and 5 is equal to 10 and 3 is equal to 6
True_Misconception
Irrelevant
12,862
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because is you find the equivalent fraction which is 18/30 they are the same
True_Correct
null
12,863
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because is you find thee equivalent fraction which is 18/30 they are the same.
True_Correct
null
12,864
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it can't be 3, 4 or 9 because they're either too low or too high so it must be 6.
True_Neither
null
12,865
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it can’t be 3 or 4 because they are to small and it can’t be 9 because it is 9/15 so it is 6.
True_Neither
null
12,866
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it has to be over half.
True_Neither
null
12,867
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it has to be over the half
True_Neither
null
12,868
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it is doubling the number
True_Neither
null
12,869
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it is just over half
True_Neither
null
12,870
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it seems like the closest one to the remainder of 9 over 15 if you double it.
True_Neither
null
12,871
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it would be 3/5 so double 3 which is 6 and double 5 which is 10
True_Correct
null
12,872
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it's going up in trees and three timesed by two is six.
True_Correct
null
12,873
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because it’s an equivalent fraction to it
True_Correct
null
12,874
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because nine fifteenths simplified is six tenths
True_Neither
null
12,875
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because of today in class x💗
True_Neither
null
12,876
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because of what i just saw
True_Neither
null
12,877
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because on the 9 over 15 there are three of them and th one over 2 there are 2 of them
True_Neither
null
12,878
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because on the second fraction it has a 9.
False_Neither
null
12,879
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because one below 9 is 6 because 15 goes in to 3 and 6
True_Misconception
Irrelevant
12,880
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because simplify the denominator 10 to five and then something times 3 equals 9 so the answer is 6/10
True_Correct
null
12,881
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because six is in between of 9 over fifteen.
True_Neither
null
12,882
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because that’s what I got on my working out.
True_Neither
null
12,883
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because the bottom numbers are amounts of fifths
True_Neither
null
12,884
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because the denominatior are multiples of 5 and the numerators are multiples of 6
True_Misconception
Irrelevant
12,885
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because the frsction can be simplified to 6 over 10.
True_Correct
null
12,886
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because the lowest common denominator is 30 9/15 is 18/30 so three times a equals 18 so a equal six
True_Correct
null
12,887
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because the lowest fraction is 3/5
True_Correct
null
12,888
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because the numerator goes up 3 and the denominator goes up 5
True_Neither
null
12,889
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because the pattern is divided by 3 then add the number you have got
True_Neither
null
12,890
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because the simplist form of 9/15 and 6/10 is 3/5
True_Correct
null
12,891
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because then it will be equal
True_Neither
null
12,892
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because there’s only 9 out of 15 so I counted 10 11 12 13 14 15 that’s six left add 6 to 9 = 15
True_Misconception
Additive
12,893
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because they are equal and to be equal a needs to be 6
True_Neither
null
12,894
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because they are equal to each other
True_Neither
null
12,895
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because they both go into 30 18 times so 18 decided by 3 is 6
True_Correct
null
12,896
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because to get to fifteen from ten you have to divide by two then times by three. For the numerator I am going to do the inverse meaning I will do divide by three and times by two giving me six.
True_Correct
null
12,897
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because two thirds of nine is 6
True_Correct
null
12,898
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because we can multiply both sides by ten
True_Neither
null
12,899
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Because we simplified 9/15=3/5, so to get to A/10 We multiplied it by 2 and got 6/10.
True_Correct
null