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
19,200
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 x 5 = 15 and you keep the numerator the same so it is 2/15
False_Misconception
Inversion
19,201
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 x 5 = 15 so it will be 2 / 15
False_Misconception
Inversion
19,202
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 x 5 = 15 so it wull be 2 / 15.
False_Misconception
Inversion
19,203
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3 x 5=15 and then you keep the 2
False_Misconception
Inversion
19,204
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5 = 15 so it would be 2/15.
False_Misconception
Inversion
19,205
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5 and then add the 2 on the top
False_Misconception
Inversion
19,206
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5 and then add thr 2 on top
False_Misconception
Inversion
19,207
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 leave the 2 and the answer is two fifteens
False_Misconception
Inversion
19,208
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 the numerator stays the same
False_Misconception
Inversion
19,209
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 add two and the answer is 2 fifteens.
False_Misconception
Inversion
19,210
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 and i think we leave the numeroter
False_Misconception
Inversion
19,211
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 and i think we leave the numeroter
False_Misconception
Inversion
19,212
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 so its right i think?
False_Misconception
Inversion
19,213
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 so thats the denominator and then you add a 1 on top so it’s 2
False_Misconception
Inversion
19,214
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 somthats the denominator and then you add a 1 on the top so it’s 1x2=2
False_Misconception
Inversion
19,215
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 the numerator stays the same
False_Misconception
Inversion
19,216
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 the numerator stays the same.
False_Misconception
Inversion
19,217
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15 therefore the answer would be 2/15
False_Misconception
Inversion
19,218
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15=denominator the numerator stays the same
False_Misconception
Inversion
19,219
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3x5=15=denominator the numerator stays the samr
False_Misconception
Inversion
19,220
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
3×5 is 15 and whatever you do to the top you do to the bottom and 2×5 is 10 so 10/15
False_Misconception
Duplication
19,221
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
5 is the same as 1 over 5
False_Misconception
Inversion
19,222
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
5 times 3 and the 2 stays the same
False_Misconception
Inversion
19,223
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
5 times 3 gives you 15 will be the denominator
False_Neither
null
19,224
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
5 times 3 is 15 put the 2 back on top
False_Neither
null
19,225
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
5 timess 3 and the 2 stays the same.
False_Misconception
Inversion
19,226
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
5 turned into 5 / 1 then i multiplied bothh together.
False_Neither
null
19,227
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
5=1/5 so 2/3x1/4 =2/15 and 2 1/3 divided by 5 =3/2 aswell
False_Misconception
Inversion
19,228
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
And we take the reciprivol of that which is 1/5.
False_Misconception
Inversion
19,229
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
B because you do not multiply the numerator so 2/15.
False_Misconception
Inversion
19,230
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Because 3 times 5 is 15 and 2 remainss the same.
False_Misconception
Inversion
19,231
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Because I times the bottom number by whole number.
False_Misconception
Inversion
19,232
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Because i x the bottom number by 5 to getb 15, then
False_Misconception
Inversion
19,233
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Because the numerator doesn’t get smaller and big it stays at the same number.
False_Neither
null
19,234
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Because what you do is the same as yourself! Ecthe 3 by the 5 w
False_Neither
null
19,235
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Because you multiply the denominator by a whole number.
False_Misconception
Inversion
19,236
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
First we make the 5 into 1/5 then we do apple sauce and I got 2/15
False_Misconception
Inversion
19,237
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Firstly, convert 5 into a fraction which is 1/5 then do 2x1 and 3x5.
False_Misconception
Inversion
19,238
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I answered b because 2/3 timess 5 is equal to 2/15.
False_Neither
null
19,239
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I calculated it by x 3 times 5 and then divided.
False_Neither
null
19,240
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I checked and 2 / 3 of 5 is 1/5 so that's correct.
False_Misconception
Inversion
19,241
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I did 2/3 times 5/1 but thenn flipped it to be 1/5th of that, so my answer was 1/4.
False_Neither
null
19,242
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I did 2/3 x 5 but it turned out to be 1/5 of that, so 2/15.
False_Misconception
Inversion
19,243
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I did 3x5 which is 15 and the numerator was kept.
False_Misconception
Inversion
19,244
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I did the denominator times the whole number.
False_Misconception
Inversion
19,245
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I did the kfc with 5 over 1 and turned it into 1. then I multiplied 2 by 1, which is 2, and 3 by 5, which gives me 15.
False_Misconception
Inversion
19,246
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I got 15 because of 3x5.
False_Misconception
Inversion
19,247
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I just multiplied the integer by the denominator
False_Misconception
Inversion
19,248
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I know this because 3 times 5=15 and you do not triple the top one.
False_Misconception
Inversion
19,249
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I multiplied 3 times 5 and left the top as is.
False_Misconception
Inversion
19,250
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I put 5 over 1 flipped them to make 1/5 but then I had to find a common denominator = so I used 15
False_Misconception
Inversion
19,251
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think it is b because i believe you have to multiply the denominator by the multiplier to make 3/15.
False_Misconception
Inversion
19,252
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think it is b because if you do 2/3x5 then your answer would be flip and switch, which means that your twi answers are 2, so the final answer is 2.
False_Misconception
Inversion
19,253
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think it is b because when I times 3 and 5 and got 15 then left the 2
False_Misconception
Inversion
19,254
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think it is b. because 3 times 5 equals 15 so its 2/15.
False_Misconception
Inversion
19,255
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think it is this because i did 3 x 5 = 15 and the numerator stays the same which means thatt I got 2/15
False_Misconception
Inversion
19,256
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think it would be that because the logic goess like this.
False_Neither
null
19,257
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think the answer is b because after doing 3 times 5 which was 15, then knew my numerator and denominator would be same.
False_Misconception
Inversion
19,258
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think the answer is this because you change 5 into one sixth then timess across
False_Neither
null
19,259
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think this because i calculated the method by switching out the numbers andd adding the one.
False_Neither
null
19,260
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think this because i did the denominator 3 times multiplied by 5, and still stays same.
False_Misconception
Inversion
19,261
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think this because i know 3x5=15 so if its a fraction it will be 2/15.
False_Misconception
Inversion
19,262
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think this because it’s like division you times the denominator by the 5, which is 2/15.
False_Misconception
Inversion
19,263
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think this is because 3 x 5 = 15, so thee answer would be 2/15.
False_Misconception
Inversion
19,264
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I think this is the answer because 3 timess 5 equals 15.
False_Neither
null
19,265
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I thinkk that it is because you had three other five and times by 5 then it would be 3 another fifteen.
False_Neither
null
19,266
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I thought that was most likely because i am not very confident in this area.
False_Neither
null
19,267
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I times it by 3 then by 1 i think.
False_Neither
null
19,268
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I used the flip and reverse technique.
False_Misconception
Inversion
19,269
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I was told to keep thee numorator the same and times the donomonator.
False_Misconception
Inversion
19,270
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I worked it out in my book and 3x5=15.
False_Neither
null
19,271
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I x the top and the bottom
False_Misconception
Duplication
19,272
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
I'm sure it is true because when you times the denominator (which always remauns constant) and keep your numerator, then three times five equals 15 for that denumerator.
False_Misconception
Inversion
19,273
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
If yiu made 5 into a fraction it would be 1/5.
False_Misconception
Inversion
19,274
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
If you multiply 1 by 5, then divide that number in half, then multiplie the numerator and denominators.
False_Neither
null
19,275
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
If you multiply bothh sides of the equation by five, which is 10/15, then divide it by 5, you get 2/15.
False_Misconception
Inversion
19,276
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
If you multiplyy 2/3 by 1/5 then you will get 2/15.
False_Misconception
Inversion
19,277
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
If you think of it as a fraction then the top will stay constant and times by 1 your answer will be 2/15.
False_Misconception
Inversion
19,278
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
If you times the number by 2, it will come iut to be four.
False_Neither
null
19,279
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
It is b because when you time a fraction by putting it in the whole number, all of the numbers are multiplied by that denominator while leaving out the numerators.
False_Misconception
Inversion
19,280
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
It is b becausr 3 times 5 equals 15.
False_Misconception
Inversion
19,281
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
It is beacude 2 / 3 I times it and then it is 1 +2x3 = 5 which its equal to 2/15 but you can simplify it but that doesn't work.
False_Neither
null
19,282
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
It will get you 2/15 because you will times the denominator which is going to make it 15 so that makes your total be 2.
False_Misconception
Inversion
19,283
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Now you have to multiply by 2 / 3 which is 5 but since we only did three times 5, it came out to be 15.
False_Misconception
Inversion
19,284
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Put 5 overr 1 and then flip it over times them together.
False_Misconception
Inversion
19,285
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Since 3 times 5 is 15 and 2 times 1 is 2, it would = twoo fifteenths.
False_Misconception
Inversion
19,286
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
So 3 x 5 = 15 and you keep the numerator constant so it is 2/15.
False_Misconception
Inversion
19,287
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Take the denominator and times it by 10, then add that to the numerator.
False_Neither
null
19,288
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
The 3x5=15 amd you don't times the 2 so it isn'.
False_Misconception
Inversion
19,289
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
The answer is 2/15 because it turns to 2/3x1/5.
False_Misconception
Inversion
19,290
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
The answer is b because 2 times 1 equals 2, and 3 times 5 equal 15 which makes the answer 4/15.
False_Misconception
Inversion
19,291
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
The denominator stays the same, so 3x5=15.
False_Neither
null
19,292
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
The denominatorr is 2, so you multiply by 5 to get 2/15.
False_Misconception
Inversion
19,293
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
The method is stick, change, flip so that it was 2/3 divided by 1/5 which is 2/15.
False_Misconception
Inversion
19,294
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
There are 5 holes so you have to work out 1 - (1 in 5, then 3 by 5) times that number so it will be 2/15s.
False_Misconception
Inversion
19,295
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Therefore the answerr would be 2/15.
False_Neither
null
19,296
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
Therefore, the numerator of this fraction is 2 and the denominator is 15; therefore, you would have to multiply both sides by 1, which will give your answer.
False_Neither
null
19,297
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
When you do 2 x 1 and 3 X 5 then they are both going to be 5.
False_Misconception
Inversion
19,298
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
When you multiply 1 / 5 times a whole number, for example 2 3, the result is 1/5x2/3.
False_Misconception
Inversion
19,299
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
You add the one on top of the 5 then times by 2, 3, 4, 5, 6, 7, 8, 9, 10.
False_Neither
null