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
23,500
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
so i do 3 times table up until 24 and then when it comes to 9 the third 8 is 9.
False_Misconception
Wrong_fraction
23,501
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
so the answer is 9.
False_Neither
null
23,502
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
so, it is b because 243=8 amd 3x3 =9 which would be 9 yellow balls.
False_Misconception
Wrong_fraction
23,503
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
that would be closest to my answer.
False_Neither
null
23,504
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
the answer is 9 because 24 divided by the denominator which is 3 then do that answer x 3.
False_Misconception
Wrong_fraction
23,505
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
the answer is 9 because you 24 divided by the denominater which is 3 the do that answer x 3
False_Misconception
Wrong_fraction
23,506
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
the answer is b because 3/8 of 24 = b
False_Misconception
Wrong_fraction
23,507
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
the answer is because 1 / 8 of 24 is 3 and three times that number equals 9.
False_Misconception
Wrong_fraction
23,508
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
the first answer is 8, becausee 8 divided by 24 is three times nine.
False_Neither
null
23,509
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
then multiply by the denominator which is three times the numerator so 3 * 9 = 27.
False_Neither
null
23,510
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
then you times it by the numberator like 3 times by 3 is 9.
False_Misconception
Wrong_fraction
23,511
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
there are 3 8s in 24 so 3 times 3 is 9
False_Misconception
Wrong_fraction
23,512
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
there are 3 8s in 24 so you do 3x3=9 so there is your answer
False_Misconception
Wrong_fraction
23,513
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
there are 3 8s in 24, so three times 9 is 6.
False_Neither
null
23,514
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
there are 9 yellow so 24-9=the answer
False_Neither
null
23,515
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
there are 9 yellow so 24-9=the answer.
False_Neither
null
23,516
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
there are three 8s in 24, so you do 3x3 which =9.
False_Correct
null
23,517
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
this is because 24 divided by the denominator, 8, is 3 and 3 times the numerator,3, is 9.
False_Misconception
Wrong_fraction
23,518
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
this is because the equivalent fraction in 24 =9/24.
False_Misconception
Wrong_fraction
23,519
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
this is because you first divide it by the denominator then multiply by your numerator
False_Neither
null
23,520
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
this is correct because 3 times 3 is 9.
False_Misconception
Wrong_fraction
23,521
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
this is fractions of an amount so you ÷ 24 by 8 which is 3 then you × 3 by 3 which is 9
False_Misconception
Wrong_fraction
23,522
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
this is how you work out the number of 8's in twenty four. you have to do three times that, which is nine times eight, and then multiply that by 3 because seven equals b.
False_Neither
null
23,523
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
three eights of twenty four is nine
False_Misconception
Wrong_fraction
23,524
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
three goes into 9 three times
False_Neither
null
23,525
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
times by the top and divide by the bottom=9
False_Misconception
Wrong_fraction
23,526
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
times by thr top and divide bythe bottom=9.
False_Misconception
Wrong_fraction
23,527
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
times by three is 9. divided 8 is 3 and times times 9 is 24
False_Neither
null
23,528
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
timess 8 divided by 6 and then times 3 times.
False_Neither
null
23,529
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
to equakl 24 you need to do 8 times 3 so i did 9 times 3, which is 12.
False_Neither
null
23,530
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
to get 8 to 24 you do 3 so do
False_Neither
null
23,531
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
to get 8 to 24 you do 3 so do that.
False_Neither
null
23,532
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
to get to 24 use your x table
False_Neither
null
23,533
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
to get to 24 use your x table.
False_Neither
null
23,534
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
twenty-four divided by eight is three and three times three is nine.
False_Misconception
Wrong_fraction
23,535
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
we think this is right because the equivalent fraction in in 24 =9/24
False_Misconception
Wrong_fraction
23,536
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
well i’d you have 24 yellow balls the. yku
False_Neither
null
23,537
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
when you take the first number 2 / 8 then half that number to be 1 and add them together they willl make 9.
False_Neither
null
23,538
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
work out 1 / 8 of 24 which is 3 then timess by 3 to get 9.
False_Misconception
Wrong_fraction
23,539
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you change the denominator to sane amount of balls and you get the awnser 9
False_Neither
null
23,540
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you divide 24 by 8 which equals 3 and times that by 3 and the answer is 9
False_Misconception
Wrong_fraction
23,541
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you divide by the bottom and you times by the top
False_Neither
null
23,542
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you divide by the denominator so 24 divided 8 is 3. then you times it by the numberator so 3 times by 3 is 9
False_Misconception
Wrong_fraction
23,543
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you divided by the bottem times by the top
False_Neither
null
23,544
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you do 24 divided by 8 =3 then you do 3 times 3=9
False_Misconception
Wrong_fraction
23,545
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you do 24 divided by 8 then times by three to get 9
False_Misconception
Wrong_fraction
23,546
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you do 24 divided by 8 which is 3
False_Misconception
Incomplete
23,547
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you do 24 divided by8 then times by 3 which is 9
False_Misconception
Wrong_fraction
23,548
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you do 3/8 of 24 (or divide by 8 then multiply by 3).
False_Misconception
Wrong_fraction
23,549
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you have to do 24 divide 8 is 3 then you have to do 3*3=9
False_Misconception
Wrong_fraction
23,550
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you have to do 8 times 24 then triple that number which is 3 and you will get 9.
False_Misconception
Wrong_fraction
23,551
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you have to find what is 3/8 of 24.
False_Misconception
Wrong_fraction
23,552
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you times 24 by 3 then divide it by 8 you get 9
False_Misconception
Wrong_fraction
23,553
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you times it by three since eight goes into 24 three times.
False_Neither
null
23,554
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
you'd do 24 divided by 8 = 3 then 3 x 3 =9
False_Misconception
Wrong_fraction
23,555
33,471
A bag contains \( 24 \) yellow and green balls. \( \frac{3}{8} \) of the balls are yellow. How many of the balls are green?
\( 9 \)
youu divided by the bottom times by up
False_Neither
null
23,556
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1 + 5 = 6 then 2+5=7 add them together to get 11. bottom number stays the same
True_Neither
null
23,557
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1 third = 5\15 5x3 = 15 which is the lcf so 2x3=6
True_Correct
null
23,558
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1 third plus 2 fifth is d because you change the denominaters to 15 and then times it at the top and the answer is d
True_Neither
null
23,559
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1 third plus 2 fifths is that
True_Neither
null
23,560
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 2/5 as an equivalent is 15 6/15 add 5/15 = 11/15
True_Correct
null
23,561
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 + 1/5 round up to their lcm is 5/15 + 6/15 = 11/15
True_Correct
null
23,562
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 + 2/5 make the denominators 15 because it is the lcm. it becomes 5/15 + 6/15 = 11/15.
True_Correct
null
23,563
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 + 2/5 = 11/15 because you times the denominator and times 2 with the opposite denominator and same with 1/3 numerator
True_Neither
null
23,564
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 + 2/5 = 11/15. multiply fractions diagonally then add.
True_Correct
null
23,565
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 + 2/5 goes to 5/15 + 6/15 and that makes 11/15
True_Correct
null
23,566
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 + 2/5. first find the common denominator. which is 15. then you do 5x1 then 3x2. add them together to get 11. that gives you the final answer of 11/15
True_Correct
null
23,567
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 + 2/5=11/15 because you change the denominator to 15
True_Correct
null
23,568
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 = 5/15 and 2/5 = 6/15 so if you add them together you get 11/15
True_Correct
null
23,569
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 =5/15 then 2/5=6/15 add them together to get 11/15
True_Correct
null
23,570
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 add 2/5 first make them have common denominators so 15 it would be 5/15 and 6/15 add them and you get 11/15
True_Correct
null
23,571
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 added to 2/5 is 11/15 1/3 times 5 is 5/15 and 2/3 times 3 is 6/15 add them up is 11/15
True_Correct
null
23,572
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 and 2/5 have a common denominator of 15. therefore, 1/3 becomes 5/15 and 2/5 becomes 6/15. add them together and you get 11/15.
True_Correct
null
23,573
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 and 2/5 is converted to over 15 so 5/15 + 6/15 =11/15
True_Correct
null
23,574
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 can be converted to 5/15 and likewise 2/5 can be converted to 6/15. when we add these two together we get 11/15, which cannot be simplified further.
True_Correct
null
23,575
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 changes into 5/15 and 2/5 changes into 6/15. add them together to 11/15
True_Correct
null
23,576
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 convert it into 5/15 2/5 convert it into 6/15 add them together
True_Correct
null
23,577
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 converted (x5) is 5/15 and 2/5 converted (x3) is 6/15. then 5/15 + 6/15 is 11/15.
True_Correct
null
23,578
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 equals 5/15 and 2/5 equals 6/15. both of them together is 11/15.
True_Correct
null
23,579
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 into /15 = 5/15 but 2/5 = 6/15 so add together = 11/15
True_Correct
null
23,580
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is 5/15 2/5 is 6/15 5+6 is 11 so the answer must be d
True_Misconception
Adding_across
23,581
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is 5/15 and 2/5 is 6/15 and that is 11/15
True_Correct
null
23,582
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is 5/15 and 2/5 is 6/15 so 5/15 add 6/15 =11/15
True_Correct
null
23,583
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is 5/15 and 2/5 is 6/15 so 6 +5 is 11
True_Correct
null
23,584
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is 5/15 and 2/5 is 6/15 they add up ti 11/15
True_Correct
null
23,585
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is 5/15. 2/5 is 6/15. together they make 11/15
True_Correct
null
23,586
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is equal to 5/15 and 2/5 is equal to 6/15. hence the sum of 1/3 and 2/5 = 11/15.
True_Correct
null
23,587
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is equivalent to 5/15 and 2/5 is equivalent 6/15 add them together is 11/15 so in conclusion the answer is d.
True_Correct
null
23,588
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 is equivalent to 5/15 and 2/5 is equivalent to 6/15 so 5/15 + 6/15 = 11/15.
True_Correct
null
23,589
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 miltiplied by 5 = 5/15 and 2/5 multiplied by 3 = 6/15. so, 5/15+6/15 = 11/15.
True_Correct
null
23,590
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 or 15 is 5 and 2/5 is 6 so 6+5 ==11
True_Neither
null
23,591
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 times 5 on both numbers=5/15 2/5 times 3 on both numbers=6/15 6/15+5/15=11/15
True_Correct
null
23,592
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 x 5 is 5/15 and 2/5 x 3 is 6/15 then 5/15 plus 6/15 is 11/15
True_Correct
null
23,593
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 x 5= 5/15 and then 2/5 x 3= 6/15 and + them together you get 11/15
True_Correct
null
23,594
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 x by 5 is 5/15 and 2/5 times by 3 is 6/15 then add them together to get 11/15
True_Correct
null
23,595
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3 × 5 = 5 / 15 and 2/ 5 = 6/5 and if you do that you will get d
True_Correct
null
23,596
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3+2/5 are made to 5/15+6/15 to make the denominators equivalent and then i added them to get 11/15
True_Correct
null
23,597
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3+2/5=11/15 and the common factor is 15
True_Neither
null
23,598
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3=5/15 2/5=6/15 and 6/15+5/15=11/15 and this number cannot be simplified
True_Correct
null
23,599
33,472
\( \frac{1}{3}+\frac{2}{5}= \)
\( \frac{11}{15} \)
1/3=5/15 and 2/5=6/15 so that the denominator is the same so all i have to do is add 5 and 6 which would be 11 which would be 11/15.
True_Correct
null