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
4,800
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is 9 triangles and 3 are not shaded
False_Misconception
Incomplete
4,801
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is 9 triangles and 3 are not shaded in
False_Misconception
Incomplete
4,802
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is 9 triangles and 3 are not shaded.
False_Misconception
Incomplete
4,803
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is 9 triangles and 3 not colored in so it will make 3 out of 9
False_Misconception
Incomplete
4,804
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is 9 triangles and 6 are blue but 3 are white so its 3/9
False_Misconception
Incomplete
4,805
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is 9 triangles and 6 of them are shaded so it is 3/9
False_Misconception
Incomplete
4,806
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is 9 triangles and only 3 are not shaded
False_Misconception
Incomplete
4,807
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is nine altogether take 6 away = 3/9
False_Neither
null
4,808
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is nine pieces and there is 3 not shaded.
False_Misconception
Incomplete
4,809
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is nine shapes and three are not shaded.
False_Misconception
Incomplete
4,810
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is only nine and three are not shaded in
False_Misconception
Incomplete
4,811
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is only nine and three are not shaded in
False_Misconception
Incomplete
4,812
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there is three boxes are whit
False_Neither
null
4,813
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there sre 8 total and 3 of them are non-shaded.
False_Misconception
Incomplete
4,814
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there sre 9 parts and 3 are not so it would be 3/7.
False_Neither
null
4,815
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there sre 9 squares and 3 are not shaded so 9 divided by 3 = 3 so it is 1 / 3
False_Correct
null
4,816
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there sre 9 total shapes, so when 3 are shaded, it becomes 3/9.
False_Neither
null
4,817
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there sre 9 triangles and 3 are not shaded.
False_Misconception
Incomplete
4,818
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there sre 9 triangles and 3 aren't shaded.
False_Misconception
Incomplete
4,819
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there sre 9 triangles shaded and 3 are not=3/9=1/3.
False_Correct
null
4,820
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there were 9 triangles and 3 were not shaded so the fraction was 3 over 9.
False_Misconception
Incomplete
4,821
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there's 9 triangles so it will be out of 9 then 3 triangle's are not shaded so its 3 over nine
False_Misconception
Incomplete
4,822
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
there's 9 triangles so it will be out of 9. then 3 triangle isn't shaded so its 3 over 9.
False_Misconception
Incomplete
4,823
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
theree are 3 whites shaded and 9 altogether.
False_Misconception
Incomplete
4,824
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
theree are 9 altogether, as 3 is not shaded in and there are 9.
False_Misconception
Incomplete
4,825
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
theree are 9 triangles, so the denominator must be 9.
False_Neither
null
4,826
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
theree are 9 tris 3 are not shaded
False_Misconception
Incomplete
4,827
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
theres 3 not shaded and 6 shaded
False_Misconception
WNB
4,828
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
theres 9 triangles and 6 are shaded.
False_Neither
null
4,829
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
therr are 9 squares, but three are not shaded.
False_Misconception
Incomplete
4,830
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
they are nine pieces in the triangle and 3 aren't shaded so you get 3/9
False_Misconception
Incomplete
4,831
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
they is 3 not shaded and 9 triangles
False_Misconception
Incomplete
4,832
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
they're 9 triangles and 3 are un-shaded
False_Misconception
Incomplete
4,833
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
this one as the only ones that are not shaided are the white one
False_Neither
null
4,834
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
three [[ara 9 triangles, three qre shaded.
False_Neither
null
4,835
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
three aree not shaded and 9 pieces in total.
False_Misconception
Incomplete
4,836
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
three ninths is not shaded on this shape i counted how many were in total and i got nine then i figured out that three were not.
False_Misconception
Incomplete
4,837
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
three not shaded snd 9 triangles
False_Misconception
Incomplete
4,838
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
three of the 9 triangles are not shaded.
False_Misconception
Incomplete
4,839
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
three triangles aree not shaded. six are.
False_Misconception
WNB
4,840
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
threee of them are not shaded out of the nine.
False_Correct
null
4,841
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
we have 9 triangle and three of then are white so it means they are not coloured
False_Misconception
Incomplete
4,842
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
well i counted the whole number of triangles and there was nine not shaded and three shaded
False_Neither
null
4,843
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
well i counted the whole number of triangles and there was nine not shaded and three that had shade on them.
False_Misconception
Incomplete
4,844
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
well i just know that you just add the toghter and get the answer
False_Neither
null
4,845
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
well you cant oll the triangel and then the white and it is it
False_Neither
null
4,846
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you add all of them up the get the 3 and then put it on top of the toltl number of shaded and not shaded
False_Neither
null
4,847
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you add up all of them to get the 3 and then put it on top of the total number of shaded and not shadesd
False_Neither
null
4,848
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you count all the triangles together is the denomerator and the ones that are not shaded are the numerator
False_Neither
null
4,849
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you count how many triangles there are then count how may are not shaded
False_Neither
null
4,850
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you count how many triangles there are then count the number that are not shaded.
False_Neither
null
4,851
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you count the number of triangles and then that will give you your bottom number and then count the ones that are not shaded in
False_Neither
null
4,852
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you count the numbers that are not shaded
False_Neither
null
4,853
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you count them all up which would give you your denominator and then you count the ones that are not shaded and you get your numerator which in this case would be 3 and a half.
False_Neither
null
4,854
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you count them all up which would give you your denominator then count the ones that are not shaded which would give you your numerator so it would be 3/9
False_Misconception
Incomplete
4,855
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you have to add all the boxes together to get 9 then count how many are shaded to get the answer 3/9
False_Misconception
Incomplete
4,856
31,772
What fraction of the shape is not shaded? Give your answer in its simplest form. [Image: A triangle split into 9 equal smaller triangles. 6 of them are shaded.]
\( \frac{3}{9} \)
you have to add up all the boxes to gett 9 then count how many are shaded to find 3 /9.
False_Neither
null
4,857
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
0.5 dividedd by 6 = 3
False_Neither
null
4,858
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 / 2 divided by 6 = 3. so the answer is b.
False_Neither
null
4,859
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 / 2 divided by 6 is 3
False_Misconception
SwapDividend
4,860
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 / 2 of 6 is 3, so the snswer is B.
False_Misconception
Mult
4,861
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 / 2 of a dividend by 6 is also 6 dividedd by 1 half and that's 3.
False_Misconception
SwapDividend
4,862
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 12 times 1 2 times so it goes into 6 3 times because 3 is half of 6.
False_Misconception
Mult
4,863
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 divided by 2 then multiplied by 6 is 3, because 3 times 1 is rqual to 3.
False_Misconception
Mult
4,864
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 half dividend by 6 is also 6 divided by 1 half and that's 3.
False_Misconception
SwapDividend
4,865
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 over 2 is equal to one half so the answer is half of 6
False_Misconception
Mult
4,866
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 over 2 is equal to one half so the answer is half of 6.
False_Misconception
Mult
4,867
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 times 6=1 Then divide by 2 which is 3
False_Misconception
Mult
4,868
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1 times 6=1. Then divide by 2, which is 3.
False_Misconception
Mult
4,869
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/12 because you times the denominator by 6 and then keep the numerator the same and that would get you 1/12
False_Neither
null
4,870
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divided by 6 1/2 x 6/1 = 6/2 6/2 simplified is 3.
False_Misconception
Mult
4,871
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 and 6/1 so you cross out the ones and that makes 6/2 which equalss to 3/1.
False_Misconception
Mult
4,872
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divide 6 is the same as 1/2 x 6 which is 3.
False_Misconception
Mult
4,873
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divided by 6 1/2 x 6/1 = 6/2. 3 simplifiedd is 3.
False_Misconception
Mult
4,874
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divided by 6 is 3 because half of 6 is 3
False_Misconception
Mult
4,875
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divided by 6 is the dame as 1/2 times 1/6.
False_Correct
null
4,876
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divided by 6 is the same 1/2 times 1/6. 1/2 times 1/6 is 1/12
False_Correct
null
4,877
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divided by 6 is the same as 1/2 times 1/6.
False_Correct
null
4,878
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divided by 6/6 the answer is 3.
False_Misconception
SwapDividend
4,879
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 divided by 6/6 the answer is 3.
False_Neither
null
4,880
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 equals the same as a half so what I did is I just halted 6.
False_Misconception
Mult
4,881
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 equals the same as a half so what I did is I justt halted 6.
False_Misconception
Mult
4,882
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is equivalent to dividing by two so 6 divided by 2 is 3
False_Misconception
SwapDividend
4,883
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is equivalent to one half and the half of 6 is 3
False_Misconception
Mult
4,884
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is half so you divide it with 6 and you get 3
False_Neither
null
4,885
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is half of something and half of 6 is 3.
False_Misconception
Mult
4,886
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is half so 6 half is 3
False_Misconception
Mult
4,887
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is like 2 and 2 divided by 6 = 3
False_Misconception
FlipChange
4,888
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is like 2 and 2 divided by 6 = 3
False_Misconception
FlipChange
4,889
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is the same as a half and when you half 6 you get 3 ,so i think 3 is the answer.
False_Misconception
Mult
4,890
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is the same as divide by 2.
False_Misconception
SwapDividend
4,891
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is the same as half so the a answer is 3
False_Neither
null
4,892
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is the same as half, so the answer is 3.
False_Misconception
Mult
4,893
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is the same as half. Half of 6 is 3.
False_Misconception
Mult
4,894
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 is the same is as divide by 2
False_Misconception
SwapDividend
4,895
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 means half,so i just halved 6 and got 3
False_Misconception
Mult
4,896
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 of 6 is the same as 6 divided by 2 and that is 3
False_Misconception
SwapDividend
4,897
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 of 6 is the same as 6 divided by 2 which is 3
False_Misconception
SwapDividend
4,898
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 times 1/6 givess you your answer which is 1/12.
False_Correct
null
4,899
31,774
Calculate \( \frac{1}{2} \div 6 \)
\( 3 \)
1/2 timess 6/1 = 6/2=3
False_Misconception
Mult