row_id
int64
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36.7k
QuestionId
int64
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QuestionText
stringclasses
15 values
MC_Answer
stringclasses
49 values
StudentExplanation
stringlengths
1
586
Category
stringclasses
6 values
Misconception
stringclasses
35 values
14,100
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you * 10 by 3 and 15 by 2 is 30 9*2=18 18/30 A/30 something * 3 = 18 A=6
True_Correct
null
14,101
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you colour in the squares it would be the same
True_Neither
null
14,102
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you convert 9/15 into 30ths, you get 18/30. 10 times 3 is 30. 18 divided by 3 is 6. A is 6.
True_Correct
null
14,103
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you divide 10 by 2 then times it by three then you divide the 9 by 3 that equals 6
True_Correct
null
14,104
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you divide 9/15 by three which is 3/5 then times that by 2 you get 6/10
True_Correct
null
14,105
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you divide 9/15 by three you would get 3/5 but you need to times the number by 2 to get the answer of A.
True_Correct
null
14,106
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you divide it into fifths, then it willl be 3/5 which is the same as 9/15, so the answer is 6.
True_Correct
null
14,107
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you divide the first fraction in half you'd get 5 then multiply it by 3 you 15. then to find a you need do 9 divided by 3 and multiply 3 by2
True_Correct
null
14,108
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you do 9 divided by 3, that equals 3, and 3 x 2 = 6.
True_Misconception
Irrelevant
14,109
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you find the common denominator and then half it, it is 6
True_Neither
null
14,110
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you get them to a common denominator which is 30 you x A/10 BY 3 AND 6 X 3=18 which is A3/30 but when you x the top and bottom by 2 (9/15=18/30) which means when you times A by 3 it has to equal 18
True_Correct
null
14,111
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you make both equal denominators (30) like this, it will make 18/30 which is 6/10.
True_Correct
null
14,112
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you make them both 30 them 9 and a are both 18,18 divide 3=6.
True_Correct
null
14,113
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you no 5 you can o it 15
True_Neither
null
14,114
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you simplify 6/10 you get 9/15
True_Correct
null
14,115
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you simplify 9/15, you get 3/5. then you make that into tenths, whichh would be 6/10, so the missing number is 6.
True_Correct
null
14,116
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you simplify both fractions each of them is 3/5
True_Correct
null
14,117
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you simplify you'll have the correct answer
True_Neither
null
14,118
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you symplfy 6/10 then it is 3/5 and make the denominator 15 then you wil get 9 /15
True_Correct
null
14,119
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you times 6 by 3 you get 18
True_Neither
null
14,120
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you turn 9/15 into 18/30 then you would need to turn a/10 into 1/30 wich is 6 so your anwser is 6.
True_Correct
null
14,121
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you turn 9/15 into 18/30 you would need to turn a/10 into a/30 wich is 6 /30 so your anwser is 6
True_Correct
null
14,122
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you turn 9/15 into 3/5 then you double it, you get 6/10 which is the same as 9/10.
True_Correct
null
14,123
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
if you use 6 they both simpify to 3/5
True_Correct
null
14,124
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
im not guessing but i dont know the answer
True_Neither
null
14,125
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
im not sure how i worked it out i just knew
True_Neither
null
14,126
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
im not sure how to work it out
True_Neither
null
14,127
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
im not too sure but i think it is this
True_Neither
null
14,128
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it coudnt be 9 or below half
True_Neither
null
14,129
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it goes into the number 1 and there is 2 left over wich is the same with 9
True_Neither
null
14,130
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it has to be 6 because it cant be 9 as that wouldnt make them equal it cant be 3 or 4 because our answer has to be greater than half
True_Neither
null
14,131
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it has to be over half and nine is too big :)
True_Neither
null
14,132
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is 3 because you can simplify 9/15 to 3/5 and then to round it up so it has a denominator of 10 you have to *3 by two like five which equals 6
True_Correct
null
14,133
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is 6 because i said it was
True_Neither
null
14,134
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is 6 because if we make it into fiths it would be 3, the we times it by 2 to get it into 10ths which is 6/10 so A= 6
True_Correct
null
14,135
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is 6 because the pattern goes 3/5 6/10 9/15
True_Correct
null
14,136
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is because if you divide it by yourself you get 3, and 3 times 3 = 9.
True_Misconception
Irrelevant
14,137
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is because you down from 9 by 6
True_Neither
null
14,138
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is c beacouse you it is a third
True_Neither
null
14,139
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is c because 9/15 is equivalent to 3/5 which is 6/10
True_Correct
null
14,140
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is c because 9/15 simplified is 3/5 so for 10ths you take away 3. sorry mr wain I now the answer some times and I don't know how to explain. The answer doesn't make sense.
True_Correct
null
14,141
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is c because if you put it into /30 then 9/15 is 18/30 and a/10 you have to times by 3 and so 18÷3=6.
True_Correct
null
14,142
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is c because to check you could do 6 divided by 2 which is 3 and then 3x3 is 9, same thing for 10, 10 divided by 2 is 5 then 5x3 =15
True_Correct
null
14,143
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is c because you dividee it by 3 and then x by 2.
True_Correct
null
14,144
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is one third of nine same as 9 is one third of 15
True_Neither
null
14,145
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it is one third of nine, same as nine is three times one fifth of 15.
True_Misconception
Irrelevant
14,146
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it was c because i worked out that they all went into three
True_Misconception
Irrelevant
14,147
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it was c because i worked out that they all went into three.
True_Misconception
Irrelevant
14,148
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it would be 3 over 5 6 over 10 and 9 over 15
True_Correct
null
14,149
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it's equal when you simlify it. It goes up in threes
True_Neither
null
14,150
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it's hard to explain but i guess you could say it is like guessing at a football game.
True_Neither
null
14,151
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
it's hard to explain on paper ;)
True_Neither
null
14,152
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
its 6 because 3 times 5 is 5 3 times 3 is 9 and 5 time 2 = 10 so you can do 3times 2=6
True_Neither
null
14,153
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
its 6 because you have to simplify the fraction and to simplify it the number is 6
True_Neither
null
14,154
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
its C because 6/10 divided by two is 3/5 and then adding them together is 9/15.
True_Neither
null
14,155
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
its alot of words to say so no so yeah
True_Neither
null
14,156
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
its c because 10 add 5 is 15 and 6 add 3 is 9.
True_Neither
null
14,157
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
its getting timesed by 1.5 as 10 divided by 2 is 5 then add that to 10 and do that with the six
True_Neither
null
14,158
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
its the correct answer for A
True_Neither
null
14,159
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
m'y dad andave i bothe guessed that we nedded to use la common denominator, but i wasn't ' t sur how that woulld work whith improper fractions.
False_Neither
null
14,160
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
make sure that the denominator is equal by finding the LCM. then make 9 equal with the answer, then A would equal to whatever 8 is. And then simplify
True_Correct
null
14,161
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
make the donominators 30, times A/10 by three to get 3A/30 and x 9/15 by 2 to get 18/30, 3A=18 18 divided by 3 is 6
True_Correct
null
14,162
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
make them both equal denominators (30) making 18/30 which simplified is 6/10
True_Correct
null
14,163
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
make them both into 18/30 then divide it.
True_Neither
null
14,164
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
make them both over 30, and you get 18/30 = 18/30 then divide the first one by 3 and u get 6/10 = 9/15
True_Correct
null
14,165
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
make them into 5 ths and mutiply by 2
True_Neither
null
14,166
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
multiply 9 by 10 and divided by 15 it will give you the value of A which is 6
True_Correct
null
14,167
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
simplest form of 9/15 is 3/5 and if you put 6 in then 6/10 simplest form is 3/5
True_Correct
null
14,168
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
simplified 9 over 15 to 3 over 5 and doubled it to make 6 over 10
True_Correct
null
14,169
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
simplifieds = 3 over 5 then that goes to 6 over 10
True_Correct
null
14,170
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
simplify 9 over 15 to 3 over 5 and then multiply by 2 to get 6 over 10
True_Correct
null
14,171
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
simplify 9/15 to 3/5 3/5 times the top and the bottom by 2 gives you 6/10
True_Correct
null
14,172
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
simplify 9/15 to 3/5 then something over 10 is 6 because i doubled the 3/5 to get 6/10
True_Correct
null
14,173
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
since 3 times anything is 18, then 18 divided by 3 is 6.
True_Neither
null
14,174
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
since 9/15 is equivalent to 3/5, then 6 must equal 6.
True_Correct
null
14,175
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
since 9/15 is the same as 3/5 and to get to a/10 we need to times it by 2, then we know that a must be 6.
True_Correct
null
14,176
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
sincee 9/15 simplifies to 3/5 and if you multiply both bits by 2 you get 6/10 - they are equivalent.
True_Correct
null
14,177
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
six times half is 9 and 10 times half is 15
True_Neither
null
14,178
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
so 15 dividedd by 10 is 1.5 so 1.5 x 6 is 9.
True_Correct
null
14,179
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
so 9 is 3/5 of 15, so i did 3 5 of 10, and that's six.
True_Correct
null
14,180
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
so i divided both by 30 to find out what a was and found out that 18/3 is 6.
True_Correct
null
14,181
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
so it is six because 9x2 is 18 and the top onr need to be times by three to get 18 so it will be six times that.
True_Correct
null
14,182
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
so made it 18/30 and A/30 then divided 18/30 by 3 which would be 6/10 and thats the answer. I think
True_Correct
null
14,183
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
so the denominator needs to be 2 / 3 of 9, which is 6, so it simplifies to 6 x 2.
True_Neither
null
14,184
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
ten times 1 1/2 is 15 so you need to divide 9 by 1 1/2 which equals 6.
True_Correct
null
14,185
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
tha answear is d becase yoy can ' t simplify 9.
False_Neither
null
14,186
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
that would be the simplified version
True_Neither
null
14,187
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the 9/15 is higher so the A will be lower than nine but have to be in the sames times tables
True_Misconception
Irrelevant
14,188
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the LCM is 30. So 10 needs to be times by 3. And 9 times 2 is 18. So 6 times 3 is 18. Therefore it is 6
True_Correct
null
14,189
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the LCM of 10 and 15 is 30 so 9x2 is 18 and they have to be equal so 18 divided by 3 is 6
True_Correct
null
14,190
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the answer is 6 as theree is a difference of 6.
True_Misconception
Additive
14,191
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the answer is 6 because you divide 10 by 15 then times it by 9
True_Neither
null
14,192
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the answer is c because 15 divided y 10 is 2.5 to figure out test each option by multiplying it by 1.5 and then you can see which one gives you 9
True_Correct
null
14,193
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the answer is c because 9x10 is 90 and 90 divided by 15 is 6.
True_Correct
null
14,194
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the answer is c because... 15/3 = 5 9/3 = 3 5x2 = 10 3x2 = 6 so a = 6
True_Correct
null
14,195
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the common denominator is 30 and the 9 will become 18 so we have to do 10x3 to get 30, which is 6x3. so the answer is 18 because the common multiple of 30 is 30, and because 9 is equal to 18.
True_Correct
null
14,196
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the common denominator is 30 so the second fraction =18/30. so to make the first fraction the same i times by 3. 18 / 3 = 6
True_Correct
null
14,197
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the correctt answer is a.
True_Neither
null
14,198
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the denominator needs to be 30 for both. 9/15 = 18/30. A/10 = 18/30. so because you have multiplied 10 by 3, 18/3 = 6.
True_Correct
null
14,199
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
the equivilant fraction is 3/5 and times that by 2.
True_Correct
null