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
19,100
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
using the math, we find that 10 times 2 = 10, and 5 times 3 is 15, so it's like (10 + 15) over 10.
False_Misconception
Duplication
19,101
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
using this method we can see that 2 intoo 5 = 10, and 3 into 5, meaning 10 + 3, which means 15 which will then be used to express the whole thing. therefore, it will be expressed as 3 * 10.
False_Neither
null
19,102
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
we have being covering this subject in maths
False_Neither
null
19,103
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
we tumes the top and got 10, so now we times everything else and get 15, so it will be 10 over 15.
False_Misconception
Duplication
19,104
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
what i did was i timed 3x5 and got 15 then i did 2x5 what is 10 then i put them together and done!
False_Misconception
Duplication
19,105
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
whatever you do to the top you do to the bottom so eyou times then both by 5
False_Misconception
Duplication
19,106
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
when multiply in fractions you multiply the numerator and denominator by 5 in this case giving you a.
False_Misconception
Duplication
19,107
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
when you divide the number on the bottom by 5, it will be five times larger than the numbers on top.
False_Neither
null
19,108
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
when you multiply 2x5 and 3x5, it comes out to 10, which is what they want.
False_Misconception
Duplication
19,109
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
when you multiply 5 times it equals 10, and when you triple it 3 times five equal 15 then the total is 15.
False_Misconception
Duplication
19,110
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
with multiplication of fractions you can x both the number and you’ll have an answer
False_Neither
null
19,111
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
x numerator by number and denominator by number
False_Misconception
Duplication
19,112
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
x numerator by number and denominator either integer or whole number
False_Neither
null
19,113
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
x the denominator and numerator by 5 2 x 5 = 10 3 x 5 = 15 =10/15
False_Misconception
Duplication
19,114
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
x the numerator 2 x 5 which is 10 but you don’t x the denominator so it’s 10/15
False_Misconception
Duplication
19,115
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
x3=15 and 5x2=10 so it is 10/15 which means that the product of 3 times any number will be 15 because 5 times anythingg equals 15.
False_Misconception
Duplication
19,116
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
x3=15 and 5x2=10 so put them back as a fraction and you have 10/15.
False_Misconception
Duplication
19,117
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
x5 = 10 so 2 times 5=10 then 3 times 5, meaning its 15 over 15.
False_Misconception
Duplication
19,118
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you add the one under the 5
False_Neither
null
19,119
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you could turn the five back into a fraction such as turn it into 5/5 then times or times it by five on the bottom then the top
False_Misconception
Duplication
19,120
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you do 2x5 and 3x5. 2x5 being 10 and 3x5 being 15 so therefore, the answer is 10/15.
False_Misconception
Duplication
19,121
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you do 2x5 and 3x5. thee first one is 10 while the third one's multiplier is 15. so, your answer is 10.
False_Misconception
Duplication
19,122
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you do 5 times 3=15 and 2 times 5 = 10
False_Misconception
Duplication
19,123
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you go along the bottom and along the to 2/3x5 5x2=10 3x5=15 so the answer is 10/15
False_Misconception
Duplication
19,124
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you go along the bottom and up to 2/3x5 5x2=10 3x5%3=15 so the answer is 10/15
False_Misconception
Duplication
19,125
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you have to do 2x5=10 and then 3x5=15 to get an answer of 10/15
False_Misconception
Duplication
19,126
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you have to multiply the numerator by 2 x 5 which is 10, but you don’t need to times the denominator so it doesn’s 10/15.
False_Neither
null
19,127
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you have to times 5 by 2 and 3 because whatever you do to the numerator, you have done to that denominator which means if your number is 1 then it multiplies by 2.
False_Misconception
Duplication
19,128
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you have to times 5 times for 2 and then 3
False_Misconception
Duplication
19,129
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you have to times 5 times to 2 and the 3
False_Neither
null
19,130
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you have to times them both of them
False_Neither
null
19,131
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you just do 2 third times 5
False_Neither
null
19,132
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you just times each by 5
False_Misconception
Duplication
19,133
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you just times each by 5.
False_Misconception
Duplication
19,134
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you just times the top number not the bottom number
False_Neither
null
19,135
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you multiply 3 times 5 which is 15 and then divide by 2, so it comes to 10.
False_Neither
null
19,136
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you multiply both sides by 5
False_Misconception
Duplication
19,137
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you multiply both the denominator and the numerator by 5.
False_Misconception
Duplication
19,138
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you multiply the numerator and 5 and then do the same with the denominator then you have the fraction 10/15 which can be simplified to 2/3 but there are no choices with 2/3 so it is 10/15
False_Misconception
Duplication
19,139
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you need to convert the numerator and denominator
False_Neither
null
19,140
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you need to do this for both sides of the equation and then you times them by five so that gives you 10 15ths.
False_Misconception
Duplication
19,141
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you need to times the top and bottom
False_Misconception
Duplication
19,142
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you need to times the whole number by both numbers
False_Misconception
Duplication
19,143
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you need to times the whole number by both numbers.
False_Misconception
Duplication
19,144
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you put a 1under the 5 and then times it
False_Neither
null
19,145
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you simplify it and you get an answer.
False_Neither
null
19,146
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you simplify it and you get the answer
False_Neither
null
19,147
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you substitute the 5 with 1/5 and do the working to get 10/15
False_Misconception
Inversion
19,148
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you take the first number and multiply it by 5. Then times that number by 1.
False_Neither
null
19,149
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times 2 by 5 and you get 10
False_Correct
null
19,150
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times 2 by 5 then do 5 by 3
False_Misconception
Duplication
19,151
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times the denominator by 5
False_Misconception
Inversion
19,152
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times the fraction by 5
False_Neither
null
19,153
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times the numarator and denomenator by 5 and you have 10/15
False_Misconception
Duplication
19,154
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times the number on the bottom and the top by 5
False_Misconception
Duplication
19,155
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times the numerator and the denominater by five
False_Misconception
Duplication
19,156
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times the top and the bottom by five and it turns into a fraction
False_Misconception
Duplication
19,157
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you times the top and the bottom when multiplying fractions and i got 10/15.
False_Misconception
Duplication
19,158
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you will need to multiply both number by the whole number: 2x5=10 3x5=15 10/15
False_Misconception
Duplication
19,159
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you would times the denominator and the numerator and that would equal 10/15
False_Misconception
Duplication
19,160
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
you × each number by itself.
False_Neither
null
19,161
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{10}{15} \)
youu would have to do 5/1 and 10/15 times, etc.
False_Neither
null
19,162
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
(B).
False_Neither
null
19,163
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
1 - add a 1 on thee fraction
False_Neither
null
19,164
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
1 / 3 times 2 1/3 is 4/5 which would be 5/2. So, multiply that by 5, and you get 8/15.
False_Neither
null
19,165
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
1 / 5 timess that is 2 1/3 times 1/5 = 4/15.
False_Neither
null
19,166
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
1 over the 5 so it is then 21 andd 35.
False_Neither
null
19,167
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
1 timed 2 is 2, so 15 x 5 = 30.
False_Neither
null
19,168
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
1/5 is equal to 5 and so you would multiply that by 2/3 which gave 15 because the first step was converting five to a fraction.
False_Misconception
Inversion
19,169
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
1/5 x 2/3 =2/16
False_Misconception
Inversion
19,170
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
15 is 5 times 3 so put thee 2 back on top
False_Misconception
Inversion
19,171
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 1/3 x 1/5 is 2/15.
False_Misconception
Inversion
19,172
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 1/3 x 5 is the same as 2/3 x 1/5 so 2 1 =2 andd 3 / 10 =15.
False_Misconception
Inversion
19,173
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 stays same and times 5 by 3 which is 15 so it is 2/15
False_Misconception
Inversion
19,174
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 times 1/5 is equal to 15 so you can multiply that by 3 times 5.
False_Neither
null
19,175
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 times 1=2 and 3 times 5 =15 so it would be 2/15.
False_Misconception
Inversion
19,176
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 times by one equals 2 then three times five equals 15
False_Misconception
Inversion
19,177
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 x 1/3 is 1 andd half.
False_Neither
null
19,178
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 x 1/5 = 2 3 times 5 which is thr same as 4 / 15.
False_Neither
null
19,179
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 x 3 is also 2 3 - 1 which comes to 5 and 6 aree the same as 2.
False_Neither
null
19,180
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2 x 5 = 10 and so you have to dividr by 2, 3 5 or 6 = 13.
False_Neither
null
19,181
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3 multiplied by 5 is 2/15 because you would turn it into 2/3 x 1/5 by the kfc rule. then do simple multiplication on it and you will be left with 2/15.
False_Misconception
Inversion
19,182
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3 times 1/5= 2/15. i did 2 times 1=2. 3 times 5 = 15
False_Misconception
Inversion
19,183
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3 times 1/5=2/15 so the answer is 2/15.
False_Misconception
Inversion
19,184
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3 times the reciprocal which is 1/5 is 2/15.
False_Misconception
Inversion
19,185
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3 x 1/5=2/15
False_Misconception
Inversion
19,186
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3 x 5 is also 2/3 x 5/1 which is 2/15
False_Misconception
Inversion
19,187
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3 x 5 is the same as 2/3 x 1/5 so 2 x 1 =2 and 3 x 5=15
False_Misconception
Inversion
19,188
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/35 doesn’t work so i did 315 = 15 then the numerator stays the same so the answer is 2/15.
False_Misconception
Inversion
19,189
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3x1/5 so 2x1=2 and 3x5=15 so together it is 2/15
False_Misconception
Inversion
19,190
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3x5 = 2/3 x 1/5 which is the same as 2 / 15
False_Misconception
Inversion
19,191
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2/3×5 doesn’t work so i did 3×5 = 15 then the numerator stays the same so the answer is 2/15
False_Misconception
Inversion
19,192
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2x1 = 3 and 4x5=15 so together they are 1/5 of the original number.
False_Neither
null
19,193
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
2x1=2 and 3x5=15 so it would be 2/15
False_Misconception
Inversion
19,194
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 times 5 is 15 and you just leave the 2 alone
False_Misconception
Inversion
19,195
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 times 5= 15 love the numerator it’s b.
False_Misconception
Inversion
19,196
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 times 5= 15 love the numerator the same it’s b
False_Misconception
Inversion
19,197
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 timess 5 is 15 and you just leave the 2 alone.
False_Misconception
Inversion
19,198
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 x 5 = 15 and then you keep thee 2 because it's even.
False_Misconception
Inversion
19,199
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 x 5 = 15 and you don't multiply the numerator so the answer is 2/15
False_Misconception
Inversion