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 |
|---|---|---|---|---|---|---|
12,900 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because when I started to work the answer out I got a little confused but when I look at the question again I got the hang of it. | True_Neither | null |
12,901 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because when I work is out with rthe bar methood che awser comed up with 9. | False_Neither | null |
12,902 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because when they converted 10 to 15 the added on a third so you need to take 1/3 away from 9 to get 6 | True_Correct | null |
12,903 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because with 9/15 there is a remainder of six so my answer was 6 | True_Misconception | Additive |
12,904 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you add a third on to get ur answer💪 | True_Neither | null |
12,905 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you can times both by 10 so it is 90/15 so it is 6 | True_Correct | null |
12,906 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you count up in 3’s | True_Neither | null |
12,907 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you divide by 3 so it is the answer | True_Neither | null |
12,908 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you divide it by 3. | True_Neither | null |
12,909 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you divide it by 5 for 25 then divide 9 by 3 | True_Misconception | Irrelevant |
12,910 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you do 5x2 which is 10 and then 3x2 which is 6 | True_Correct | null |
12,911 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you find the lowest common denominator which is 30. Then divided it by three. | True_Correct | null |
12,912 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you have to divide by 2 then times by three to get 15 then it is 6 | True_Neither | null |
12,913 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you have to make the denominators the same and then do the same to the top and 10 ✖️ 3 = 30 and 15x2=30 and 9x2=18 and 6x3=18 so the awnser is 6 | True_Correct | null |
12,914 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you have to simplify the fraction, and simplifying it means that the number is 6. | True_Correct | null |
12,915 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you make them have the same denominator which is 30, then change the numerator on the second one which is 18. So they are both equal to 18/30. So to simplify it change the denominator to 10 which is divided by 3, and divide 18 by three Which is 6. So A = 6. | True_Correct | null |
12,916 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you need to change the denominater to 30 and then simplify back and you get 6/10 | True_Correct | null |
12,917 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you need to find the lowest common denominator which is 30. Then I divided it by three. | True_Correct | null |
12,918 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you need to make 15 into 30 then divide 18 by 3 | True_Correct | null |
12,919 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you simperflie both fractions to fiths and then times it by 2. | True_Correct | null |
12,920 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you simplify 9/10 to 3/5 and double it then you will have 6/10 | True_Correct | null |
12,921 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you times 10 by 1.5 and divide nine by 1.5 | True_Correct | null |
12,922 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because you times 9/15 by 10 to get a on its own. A therefore = 90/15 which = 6 | True_Correct | null |
12,923 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Because, 9/15×2 equals 18/30, and divide that by three equals 6/10 | True_Correct | null |
12,924 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Both of these fractions can be simplified to 3/5 | True_Correct | null |
12,925 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C as I took 1/3 of 9 away from itself to get 6 | True_Correct | null |
12,926 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 10x3=30 and?x3=18 which ?must be 6 since 6x3=18 | True_Correct | null |
12,927 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 15 divided 10=1.5 so 9 divided by 1.5=6 | True_Correct | null |
12,928 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 15 divided 10=1.5 so 9 divided by 1.5=6 | True_Correct | null |
12,929 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 15 divided 10=1.5 so 9 divided by 1.5=6 | True_Correct | null |
12,930 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 3x less than 9/15 is the answer | True_Neither | null |
12,931 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 6 and 10 are in a pattern 3 6 9 and 5 10 15. | True_Correct | null |
12,932 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 9/15 divided by 3 equals 3/5
So it is 6/10 | True_Correct | null |
12,933 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 9/15 divided by 3 equalss 3/5 So it is 6/10 | True_Neither | null |
12,934 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because 9/15 divided by 3 is 3/5 then times that by 2 is 6/10 | True_Correct | null |
12,935 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because I found the LCM and divided the numerator by 3 | True_Correct | null |
12,936 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because I found the lowest common multiple of 10 and 15, which was 30 and then 9/15 changed to 18/30. And because I new that 10 X 3 = 30 I knew that I would have to choose the number 6 so that it is equal to 9/15. | True_Correct | null |
12,937 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because I made 9/15 into 18/30 and I got that by doubling 9/15 so I had to make something/30 so I tripled 6 to get 18 | True_Correct | null |
12,938 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if I replace A with six then it would by six tenth so after that you need to simplify to three fifth which is equal with 9 fifteenth. | True_Correct | null |
12,939 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if I replace A wuth six then it would by six tenth and after that you need to simplify to three fifth which is equal with nine fifteenth. | True_Correct | null |
12,940 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if you convert the denominators into 30ths, then it will be 6/10=18/30. | True_Correct | null |
12,941 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if you convert the denominators into 30ths, then it wull be 6/10=18/30. | True_Correct | null |
12,942 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if you divide it by 3 you get 3/5 then you times it by 2 to get 6/10 | True_Correct | null |
12,943 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if you double 15 it is 30 and double 9 is 18 so the divide it by 3 to get to 10 is 6/10 | True_Correct | null |
12,944 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if you make both fractions into 30 on the denominator, 9 becomes 18 so A has to become 18 if you times 6 by3 you get 18. You times 6 by 3 because you've times the 10 by 3. | True_Correct | null |
12,945 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if you multiply both sides by 10 then you will get 90 and 90 divided by 15 is 6 | True_Correct | null |
12,946 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because if you take away 3 from nine it becomes a six so a should be 6 | True_Neither | null |
12,947 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because it is equivalent to 9/15 | True_Correct | null |
12,948 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because it is greater than half which is the same as the question above. | True_Neither | null |
12,949 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because nine fifth teens divide them by three you get three fifths then double them and you get six tenths | True_Correct | null |
12,950 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because the common denominator is 30 and 9/15 is equal to 18 / 30 so you divide that by 3 to make the fraction in 10ths. | True_Correct | null |
12,951 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because the common denominator is 30 and 9/15,is equal to 18 / 30 and you divide that by 3 to make the fraction in 10ths | True_Correct | null |
12,952 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because what goes into 9 & 15 3. 3 dubbed = 6 | True_Neither | null |
12,953 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because you can simplify 9/15 to 3/5 and that is equivalent to 6/10 | True_Correct | null |
12,954 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because you have to find a number which is divisible by 2 which gives you the answer of 6 | True_Neither | null |
12,955 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because you have to get them into 30 9 x 2 is 18 and then divide 18 by 3 to get 6 | True_Correct | null |
12,956 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C because you have to get them into 30 9 x 2 is 18 and thenn divide 18 by 3 to find 6. | True_Correct | null |
12,957 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C is correct because 15 divides by 10 is 1.5 so 9 divides by 1.5 is 6 | True_Correct | null |
12,958 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C is equal to it as if you simplify the fractions they both give you 3/5 | True_Correct | null |
12,959 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | C is the answer because, you work out a common multiple of 10 and 15, then you simplify them using that multiple and keep on going until the number is in its simplest form. Then you times the denominator of the first number and the numerator of the second number. | True_Neither | null |
12,960 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Cause if u are taking 1/3 of the bottom you need to do it to the top as well | True_Correct | null |
12,961 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Convert 9/15 to 18/30 and dived that by 3 which equals 6/10 | True_Correct | null |
12,962 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Convert 9/15 to 3/5 then make it 6/10 | True_Correct | null |
12,963 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Cross multiplication gives 15A=90 which is A=90/15 and which is 6 | True_Correct | null |
12,964 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Cross multiply
A x 15 = 10 x 9
15A = 90
A =90/15
A = 6 | True_Correct | null |
12,965 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Cross multiply and I’ve got 15A=90 so I divide both sides into 15 and I got 6 | True_Correct | null |
12,966 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Cross multiply then divide by 15 to get A on its own. | True_Correct | null |
12,967 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Cus in fifths it would be 3 and 15 its nine so in tenths it would be 6 | True_Correct | null |
12,968 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Denominator is 30 because they are a factor of the number. The other is 18/30. 18 divide 3 | True_Correct | null |
12,969 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Divide 10 by 2 making it 5. FROM there you can do trial and improvement by making them all suitable to every answer.Eventually I found the answer 6 by making it an equivalent fraction by multiplying 5 by 3 and 3 by 3.(wow my fingers hurt now) | True_Neither | null |
12,970 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Divide 10 by 2 that's 5 divide 9 by 3 that's 3 | True_Neither | null |
12,971 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Divide 15 by 3 which is 5 then times 5 by 2. | True_Correct | null |
12,972 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Divide 9/15 by 3 = 3/5. Multiply this by 2 = 6/10 | True_Correct | null |
12,973 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Divide by 3 and 3 fifths equals 6 tenths | True_Correct | null |
12,974 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Divide the fraction by 3 and then X by 2 | True_Neither | null |
12,975 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Divided both by three then times by two | True_Correct | null |
12,976 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Divided by 3 then times by 2 | True_Correct | null |
12,977 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Do a criss-cross.
10 x 9 = 15 x A
We know this because of the equal sign. This shows that both calculations have the same answer.
10 x 9 = 90
90 = 15 x A
15A = 90, therefore A= 6
Check:
6/10 = 9/15 in order to check if it is correct we need to make the denominator the same. I did it by simplifying both fractions (but we could also change it to 30).
When simplifying, I divided it by 2. I got 3/5 = 3/5 | True_Correct | null |
12,978 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | EXPECT 5 TIMES +3 EQUALS 9 AND 5 TIME 3 EQUIVALENT 15. | True_Neither | null |
12,979 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Ecsuse 9/15 is equivalent to 3/5 which is equivalent to 6/10 | True_Correct | null |
12,980 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Find another fraction and then divide then times | True_Neither | null |
12,981 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Find the highest common multiple of 9 and 15 which is 3 so 3x2=6 | True_Correct | null |
12,982 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | First I changed both of the denominators to 30 and then I x 9 by 2 and divided 18 by 3 | True_Correct | null |
12,983 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | First I made the fractions have the same denominator ,this showed me A as 30ths is 18 so then I put 18/30 as 10ths and it was 6 | True_Correct | null |
12,984 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | First divide 9/15 by 3 then times it by 2 | True_Correct | null |
12,985 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | First divide 9/15 by 3 then times it by 2 | True_Correct | null |
12,986 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | First divide 9/15 by 3 then times it by 2 | True_Correct | null |
12,987 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | First we have to figure out the denominator then apply that to the numerator. 2/3 of 15 is ten, so 2/3 of 9 is 6. | True_Correct | null |
12,988 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | First, I found the LCM and turned the fractions into thirtieths. Then, I found out that 18 = 3a so 18 divided by 3 is 6 so A must be 6. | True_Correct | null |
12,989 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | First, you find a common factor of the denominators (10 and 15) which is 5. To simplify 9/15 to fifths we divide by 3, which gives 3/5. To simplify A/10 to fifths we divide by 2, which gives A/2/5. A divided by 2 must give 3, so it must be 6. | True_Correct | null |
12,990 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Fist I simplified 9/15 to give me 3/5. Then I new that 5 times by 2=10 so 3 times 2 =A | True_Correct | null |
12,991 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | For the bittom one you just add 5, and for the top one, you only add 3 from 6. | True_Neither | null |
12,992 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | From 10 to 15 you went from 2/3 to 3 1/3. So 1/3 is 5 for the denominator. And 3 is 3 because 9 divided by 3 = 3. Meaning if you do 3 x 2 you get the answer 6. | True_Correct | null |
12,993 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | From 10 to 15 you went from 2/3 to 3/3. 1/3 is 5 for the denominator. For the numerator 1/3 is 3 because 9 divided by 3 is 3. Meaning if you do 3 x 2 you get the answer 6. | True_Correct | null |
12,994 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Give them both a common denominator which is 30 and then 9 times 2 is 18 divided by 3 | True_Correct | null |
12,995 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Go to the nearest number bond witch is 30 | True_Neither | null |
12,996 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Half of 10 is 5 x 3 =15. 3 x 3 = 9 | True_Neither | null |
12,997 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | Half of ten is 5 + to ten to make 15 half of 6 =3 add 3+6=9 | True_Neither | null |
12,998 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | I divided the denominator and numerator by 3 and then multiplied by 2. | True_Correct | null |
12,999 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | I timesd by three and got 6 cause 6 times 3 is 18 and 18 diveded by two is nine | True_Correct | null |
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