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 |
|---|---|---|---|---|---|---|
19,500 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this because you keep the numerator and denominator constant. | False_Neither | null |
19,501 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this because you keep the numerator the same and times the denominator | False_Misconception | Inversion |
19,502 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this because you need to do 3 times by 5 to get answer b. | False_Misconception | Inversion |
19,503 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this because you need to do 3 times by 5 to get answer b. | False_Misconception | Inversion |
19,504 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this because you woud start by 3x15=15 so the answer is 2/15 | False_Misconception | Inversion |
19,505 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this is becaude 5 times 3 is 15 and you only multiply the denominator. | False_Misconception | Inversion |
19,506 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this is because every number is a fraction and that one was 5/1 flip it 1/5 then x it | False_Misconception | Inversion |
19,507 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this is because i did thee denominator 3 times five which was 15. | False_Misconception | Inversion |
19,508 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this is because if it was 10/15 then it would be equivalent to 2/3 so it's not that and 5 isn't in a fraction so x the denominator and 3*5=15 | False_Misconception | Inversion |
19,509 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this is because in multiplication with whole numbers, all you need to do if times the denominator by whatever whole number you have. | False_Misconception | Inversion |
19,510 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this is the answer because 5 multiplied by 3 is 15 | False_Misconception | Inversion |
19,511 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this is the answer because to multiply fractions you have to do the denominator times the whole number. | False_Misconception | Inversion |
19,512 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think this is the answer because you add the 1 on the bottom of the 5 then flip it and do 2 times 1 =2 and 3 times 5 = 15 | False_Misconception | Inversion |
19,513 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i think thiss because 2 x 5 = 10. | False_Neither | null |
19,514 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i thinkk this because 5=5/1 1/5 x 2/3 =2/5 | False_Neither | null |
19,515 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i timed 3 by 5 to get 15 and you always keep your denominator the same so it is 2/15 | False_Misconception | Inversion |
19,516 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i timed 3 by 5 to get 15 and you always krep your denominator the same so it is 2/15 | False_Misconception | Inversion |
19,517 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i times 3x5=15 so i thought 2/15 | False_Misconception | Inversion |
19,518 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i times 3x5=15 so ive thought 2/15 | False_Misconception | Inversion |
19,519 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i timsed it by 3then by 1 | False_Neither | null |
19,520 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i turned 5 into 1/5 and cross multiplied with 2/3 | False_Misconception | Inversion |
19,521 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i turned 5 into 5/1 and then flip it into 1/5. then 2/3 1/4 which was 2/15 | False_Misconception | Inversion |
19,522 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i turned 5 into 5/1 and then flipped it into 1/5 and did 2/3 × 1/5 which was 2/15 | False_Misconception | Inversion |
19,523 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i turned 5 into 5/1 then i multiplied then together | False_Neither | null |
19,524 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i turned 5 to a fraction then did kfc | False_Misconception | Inversion |
19,525 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i turned 5 to a fraction then did kfc | False_Misconception | Inversion |
19,526 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i turned the five into a one over five and then flipped it too one fifth and then multiplied it | False_Misconception | Inversion |
19,527 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i used the flip and reverse technique | False_Misconception | Inversion |
19,528 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i used the method stick, change, flip. so that it was 2/3 divided by 1/5 which is 2/15 | False_Misconception | Inversion |
19,529 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i used the method stick,change, flip | False_Neither | null |
19,530 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i worked it out by x 3 by 5 and then dividing | False_Misconception | Inversion |
19,531 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i worked it out in my book and 3x5=15 | False_Misconception | Inversion |
19,532 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i worked it out on a piece of paper. | False_Neither | null |
19,533 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i worked it out on a sheet of paper | False_Neither | null |
19,534 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i would like it to be the same as if you times 5 * 3 it gives you 15 and also stays the numerator at 15. | False_Neither | null |
19,535 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i x it by 2 and x it by 3 and i got 2/15 | False_Misconception | Inversion |
19,536 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i x the top and the bottom | False_Misconception | Duplication |
19,537 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i'm not sure how to explain that. | False_Neither | null |
19,538 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i'm not sure so i went with the one i was most certain with | False_Neither | null |
19,539 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | i'm not sure. i went with what i was most certain of. | False_Neither | null |
19,540 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if 3 x 5 = 15 them it is 2/15. | False_Misconception | Inversion |
19,541 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if i remember correctlyy this is because you start by 3x15=15 so the answer is 2/15 | False_Misconception | Inversion |
19,542 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if the reciprocal is 1/5 thenn 2/2 times it will be 1/15. | False_Neither | null |
19,543 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if we multiply 1 by 5, it is the same as dividung by 5. | False_Neither | null |
19,544 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if yiu times the numerator by 5, then it must be 2/15. | False_Neither | null |
19,545 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you add 1 on top of the 5,it will make 3 and then you do 21=2 and 53=15 so your answer is 15/2. | False_Neither | null |
19,546 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you divide both sidess of the equation by one, then three times five equals 15; therefore, two times by single number equal to 2. | False_Misconception | Inversion |
19,547 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you had to multiply the denominator by 5, it would be 10 times smaller. | False_Neither | null |
19,548 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you multiply 3 times 5 gives you 15, then the denominator will be 15. | False_Misconception | Inversion |
19,549 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you multiply both sides of the equation by 5, it is 10/15. | False_Misconception | Duplication |
19,550 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you multiply by 5, it is the same as dividing by 1. | False_Neither | null |
19,551 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you multiply the denominator and the numerator by 5 it is 10/15. | False_Misconception | Duplication |
19,552 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you multiplyy the denominator by 5, which is 15, then add 2, meaning 2 - 15. | False_Misconception | Inversion |
19,553 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you put 5 at the bottem and 1 at the top 2/3 x 1/5=2/15 | False_Misconception | Inversion |
19,554 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you put 5 at the bottom and 1 on top then 2/3 x 1/5=2/15. | False_Misconception | Inversion |
19,555 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you take the 5 and divide it in half, then times them together to make 1/15, this is what your going to do with 2/15. | False_Neither | null |
19,556 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you take the whole thing, it would be five times one and then you can do top by top and bottom by bottom. | False_Neither | null |
19,557 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you think of it as a fraction and you times the top by 1 it will stay the same and times the bottom by 5 it makes 15 so the answer is 2/15 | False_Misconception | Inversion |
19,558 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you use 2 as the numerator and do 5 times 3 which is 15 you get 2/15. | False_Misconception | Inversion |
19,559 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you use 2 as the numerator and do 5 times 3 which is 15, then your answer will be 2. | False_Misconception | Inversion |
19,560 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if you use kcf the equation becomes 2/3 multiplied by 1/5 which is 2/15. | False_Misconception | Inversion |
19,561 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | if youu do 2/3 times 1/5, then you get 2/15. | False_Misconception | Inversion |
19,562 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it could be 10 or 15 times what i know, but i'm sure it is 5 times tables. | False_Neither | null |
19,563 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it don't know how to explain it | False_Neither | null |
19,564 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it is 1 over 5 times it which gives 2 over 15 kfc kind of because you would have to put 1 under 5. | False_Misconception | Inversion |
19,565 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it is 2/15 because all you do is times 3 by 5 which = 15 and you keep the numerator the same so it would be b. | False_Misconception | Inversion |
19,566 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it is b beacause 2/3 i times it and it is 2x1 and 3x5 which it equal 2/15 and you can simplify it but it is not there. | False_Misconception | Inversion |
19,567 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it is b because 3 times 5 is 15 | False_Misconception | Inversion |
19,568 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it is b because 3 x 5 = 15 so it is 2/15 | False_Misconception | Inversion |
19,569 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it is because you times 2times 5 equals 15 and 2 stays the same | False_Misconception | Inversion |
19,570 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it was the most similar to my original answer. | False_Neither | null |
19,571 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it will be 2 becausee 4 times 5 by 3 which is 15 so it is 12. | False_Neither | null |
19,572 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it would b because if you times 5 *3 it gives you 15 and the numerator stays the. same | False_Misconception | Inversion |
19,573 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it would be 2/15 because 3x5 equals 15 | False_Misconception | Inversion |
19,574 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | its b because 3 * 5 = 15 add 2 is 2 over 15 | False_Misconception | Inversion |
19,575 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | its b because 3 * 5 = 15 add 2 is 2 over 15 | False_Misconception | Inversion |
19,576 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | it’s b because when you time a fraction by a whole number you times the denominator and leave the numerator | False_Misconception | Inversion |
19,577 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | keep me change me turn me around so
2/3 times 1/5=2/15 so the answer is 2/15 | False_Misconception | Inversion |
19,578 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | kfc kind of because you would have to put 1 under 5 but if you flip it but keep the 1 on top of 5 then it is 1 over 5 then times it which gives 2 over 15 | False_Misconception | Inversion |
19,579 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | let the denominator be x. then, multiply that by the whole number. | False_Misconception | Inversion |
19,580 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | let's say 5 is 1/5. them 2/3 x 1/15 = 2/15. | False_Misconception | Inversion |
19,581 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | multiplying by 5 is the same as multiplying by 1/5. | False_Misconception | Inversion |
19,582 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | no numerator so put a 1 to do 2x1 is 2 and 5x3 is 12 and you get the answer 2/15 | False_Misconception | Inversion |
19,583 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | put 1 over five then multiplied | False_Misconception | Inversion |
19,584 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | put 5 over 1 and then turned it around and then timed the numbers | False_Neither | null |
19,585 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | put a 1 over the 5 so it is then 2×1 and 3×5 | False_Misconception | Inversion |
19,586 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | put a one over the 5 then multiply the denominators by each other and the same with the numinators | False_Misconception | Inversion |
19,587 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | put a one over the 5, then multiply the denominatorss by each other and do the same with the numinator. | False_Neither | null |
19,588 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | reciprocal of 5 is 1/5 so 2/3 x 1/5=2/15 | False_Misconception | Inversion |
19,589 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | remembering flip and kiss i did the calculation and got 2/15 | False_Misconception | Inversion |
19,590 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | since 3 x 5 = 15 then you don't have to multiply the numeratorr by 2, and since 2 is less than 10, this means your answer is 1/5. | False_Misconception | Inversion |
19,591 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | since if you change 5 to 1/5 it is 3 multipliedd by 5, which is 15, and 2 times anything is 2, so it has 15 divided by 2. | False_Misconception | Inversion |
19,592 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | snd multiplied by 2/3 i turned 5 into 1/5. | False_Misconception | Inversion |
19,593 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | so 2x1=2 and 5x3=15 so what =2/15 | False_Misconception | Inversion |
19,594 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | so 3 times 5 is 15 and you put that as a denominator and then add 2 to it. | False_Misconception | Inversion |
19,595 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | so 3x5=15 so it is corrrct i believe? | False_Neither | null |
19,596 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | so basically 3 x 5 is 15 so we put that at the bottom and the top stays the same | False_Misconception | Inversion |
19,597 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | so basically 3 x 5 is 15 so we put that at the bottomm and the top stays the same | False_Misconception | Inversion |
19,598 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | so its 1 over the 5, and then i multiplied both sides by 2, then tripled them to gett 2/15 | False_Misconception | Inversion |
19,599 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( \frac{2}{15} \) | so that is 2 plus 3 times 5 and then you add 15, so it gives you 15 because the formula says triplets are equal. | False_Neither | null |
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