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 |
|---|---|---|---|---|---|---|
14,200 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the first one would be 3 over 5 so if you add 3 to the top and 5 to the bottom you get this | True_Misconception | Additive |
14,201 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the fraction before would be 3/5 then double is 6/10 the 9/15 | True_Correct | null |
14,202 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the highestt common multiple of 9 and 15 is 3, so 3x2=6 | True_Misconception | Irrelevant |
14,203 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the lcd is 30 so 15*2=30 that means 9*2=18, divide them by 3 to get back to the denominator being 10. | True_Correct | null |
14,204 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the lowest common denominator is 30, so you multiply 9 by 2 which is eighteen. The question is now what x 3 = 18. The answer is 6 | True_Correct | null |
14,205 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the method i used was to do 1.5 x 10 and then move a number to its left, giving me 15. then i knew that the numerator would be 9 divided by 1.5, which then gave me 6. finally, to check my answer, i did 6 x 1.5 which gave 9. therefore, the answer is 6. | True_Correct | null |
14,206 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the numerator goes up in 3 also the denomantor goes 5 up | True_Correct | null |
14,207 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the numirator had to be timesed aswell | True_Neither | null |
14,208 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the percentage of 9/15 is 60 so it is 6 | True_Correct | null |
14,209 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the proscess from the second fraction to the first is x2 /3 | True_Correct | null |
14,210 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the relationship between 10 and 15 are 2x5 and 3x. so 3x3=9 so 2x3=6. | True_Correct | null |
14,211 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the rule is divide by 2 and times by 3 | True_Neither | null |
14,212 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the value of a is 6 | True_Neither | null |
14,213 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the value of a is 6 because 6+3 is 9 and 10+5 is 15. | True_Neither | null |
14,214 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | the would simplify to be 3/5 | True_Correct | null |
14,215 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | then the two fractions would be equivelent | True_Neither | null |
14,216 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | there are 9 in the number 1 and there is 2 left over which is the same as 9. | True_Neither | null |
14,217 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | they are both equal to 3/5 | True_Correct | null |
14,218 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | they are both equivalent to 3/5. | True_Correct | null |
14,219 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | they are equivalent fractions meaning that A is 6 | True_Neither | null |
14,220 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | they are in 5's and if you do 9 divided by 3 that equals 3 and 3 x 2 = 6 | True_Correct | null |
14,221 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | they both go into 30 so find out what 9 x 2 =18
then you have mutiplyed 10 by 3 to get 18 so divide it by 3 again and then you have your answer. | True_Correct | null |
14,222 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | this is a guess because I really dont get this | True_Neither | null |
14,223 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get 6 over 10, divide bothh fractions so their denominators are 5. then, multiply both numerators by three. | True_Neither | null |
14,224 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get a common denominator, you times 9/15 by 2 to get 18/30 and A/10 by 3 to get ?/30. since they are both now the same. ?/30 is 18/30. next you divide it by 3 to get your original amount, which is 6/10 | True_Correct | null |
14,225 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get a denominator of 10, we need to dividee by 3 and multiply by 2. then, 9/15=3/5=6/10, so a = 6. | True_Correct | null |
14,226 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get from 10 to 15 is the same as doing 6 to 9 because you can half it and then times it by 3. | True_Correct | null |
14,227 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get from 10 to 15 we multiply it by 1.5. this means that we also have ti do ax1.5 which must give us an answer of 9. the only number that will give us an answer of 9 if we multiply it by 1.5 will be 6 therefore a=&6. | True_Correct | null |
14,228 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get from 15 to 10 i did 15 divided by 3 times by 2, which is 10, and then i added that to the top and it was 6. | True_Correct | null |
14,229 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get the answer, you need to divide the second fraction by 3 and times it by 2. | True_Correct | null |
14,230 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get the answer, you need to times everything equally. | True_Neither | null |
14,231 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to get to 15 from 10 you x1.5 so 9 /1.5=6 | True_Correct | null |
14,232 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to go from 10 to 15 you must divide by 2 and times by three so if you do the inverse which is 9 divided by 3 and times by 2 you get 6 | True_Correct | null |
14,233 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | to simplify 9/15 to fifths we divide by 3, which gives 3/5. similarly, we can simplify a/10 to thirds, by dividing by 2. this gives a/2/5, which must give 3, so it must be 6. | True_Correct | null |
14,234 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | took away 1/3 so it would be 6/10 | True_Neither | null |
14,235 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | trial and error method:
simplify A/10 by dividing the nume | True_Neither | null |
14,236 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | two third of 9 is 6 so is 15 as 10 so yeah | True_Correct | null |
14,237 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | two thirds of 15 is 10 and two thirds of 9 equals 6. | True_Correct | null |
14,238 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | two thirds of 15 is 10 and two thirds of 9 is 6 therefore the letter a would be 6. | True_Correct | null |
14,239 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | u told meh i did not need to write it | True_Neither | null |
14,240 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | we changed both to a common denominator of 30 so they were 18/30 then we divided by 3 to get 6/10 | True_Correct | null |
14,241 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | we found the common denominator which is 30 and times | True_Neither | null |
14,242 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | we have done this one tow so i know the answer to | True_Neither | null |
14,243 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | we multiply a/10 with 3 to get a common denominator therefore 3a = 18 and a = 6 | True_Correct | null |
14,244 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | we started with 3/5 and then a/10 and then 9/10 so A must equal 6 | True_Correct | null |
14,245 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | we turned it into an equivalent fraction and then simplified our answer | True_Correct | null |
14,246 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | when you change the dominator to 30 then 15 and 9 change to 30, then 30 again. then 30 once more, then 6. | True_Correct | null |
14,247 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | with my logic I did the elimination process. | True_Neither | null |
14,248 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | worked it out in my head | True_Neither | null |
14,249 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you are taking a 1/3 away | True_Neither | null |
14,250 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you can simplify 9/15 to 3/5 which is the same as 6/10 | True_Correct | null |
14,251 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you can split it into 3rds so10 out of 15 is 2/3 so 2/3 of 9 is 6. | True_Correct | null |
14,252 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you can split it into 3rds so10 out of 15 is 2/3 so 2/3 of 9 is 6. | True_Correct | null |
14,253 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you convert 9/15 to 18/30 and then simplify the fraction to 6/10. | True_Correct | null |
14,254 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you convert 9/15 into 5ths which is 3/5 then 3/5 x 2 is 6/10 | True_Correct | null |
14,255 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you do ax15 which is the same as 9x10=90
then you do 90 divide 15=6 | True_Correct | null |
14,256 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you do what do you do to the bottom to the top so 15 take away 9 is 6 | True_Misconception | Additive |
14,257 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you do what you do to the bottom to the top thats how i worked out my answer | True_Neither | null |
14,258 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you haft to tack it away | True_Neither | null |
14,259 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you half 9 wich is 6 an its the answer | True_Neither | null |
14,260 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you have to change the denominator into 150 then you will get he answer | True_Neither | null |
14,261 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you look at the bottom 2 numbers | True_Neither | null |
14,262 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you make the denominators the same and then you divide 18 by 3 which is 6 | True_Correct | null |
14,263 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you make the ten 5 because if you do x3 you get 15. now, do the opposite with 9. | True_Neither | null |
14,264 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you need to divide the second fraction by 3 and times it by 2 to get the answer | True_Correct | null |
14,265 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you need to take every number an simply those numbers.you also have to simplyfie 9 over 15 which is 3 over 5 and c got 3 over 5 so that is the answer. | True_Correct | null |
14,266 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you need too times everything equally to get the answer | True_Neither | null |
14,267 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you put them both to 30 (denominator) and get 18/30 you divide it by 3 and get 6/10. | True_Correct | null |
14,268 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you times the denominator to make them the same so 9x2=18 18 divided by 3 to get a is 6 | True_Correct | null |
14,269 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you turn 9/15 into 3/5 by finding the common factor, then turn it into an equivalent of 6/10 | True_Correct | null |
14,270 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 6 \) | you want to make the fraction have the same bottom number so you times 9/15 by 2 and A/10 by 3 since there equal 9 times 2 =18 so then A will equal 18 then you want to make them back to its normal form =6 | True_Correct | null |
14,271 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | 9 because change the denominator to 30 then x the numerator by 3 (a=27) divide it by 3=9 | False_Neither | null |
14,272 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | 9 because change thee denominator to 30 then x the numerator by 3 (a=27) divide it by 9=9. | False_Neither | null |
14,273 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | 9 is A because it says that it equals 9 . | False_Misconception | WNB |
14,274 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | 9 is a because it says that it equals 9. | False_Misconception | WNB |
14,275 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | 9 is your answer because 10 timess 90 equals 9. | False_Misconception | WNB |
14,276 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | 9/15 is equal to 3/5 and to get A/10 . And if you times the denominator and numerator of 3/5 by 2 to get an equivalent fraction you will get 6/10. | False_Correct | null |
14,277 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | As 15 x 2 is 30 and 10 x 3 is 30. It will be 18/30 and 18 divided by 2 is 9. | False_Neither | null |
14,278 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | BECAUSE 15 IS IN THE 5 TIMES TABLE SO I DIVIDED 9 BY THREE THAT EQUALS 3 | False_Misconception | Irrelevant |
14,279 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because 10 can go into 15 in the 5 times tables A plus 9 goes to nine | False_Misconception | Irrelevant |
14,280 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because 10 is 2 / 3 of 15, and 2 is 6. | True_Neither | null |
14,281 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because a is the only number and it's 9. There is no other answer. | False_Neither | null |
14,282 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because a is the only number and its 9 not any other answer | False_Neither | null |
14,283 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because it has a eaqles sight so its the same | False_Misconception | WNB |
14,284 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because it has the ssme sight as you do. | False_Neither | null |
14,285 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because it would be 18 so you divide by 3. | False_Neither | null |
14,286 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because non of the others will equal the fraction | False_Neither | null |
14,287 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because on the second fraction it's got a 9 | False_Neither | null |
14,288 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because the top number stays the same. | False_Misconception | WNB |
14,289 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because they are the same fraction. | False_Neither | null |
14,290 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because theyy are equal in value. | False_Neither | null |
14,291 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Because when I worked it out with the bar methood the answer came up with 9 | False_Neither | null |
14,292 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | Becausee the first number stays the same. | False_Misconception | WNB |
14,293 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | D because if you count in you 5 time tables it would be 3/5,6/10,9/15 | False_Neither | null |
14,294 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | D because if you count in your 5 time tables it would be 3/5,6/10,9/15 | False_Misconception | Irrelevant |
14,295 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | I THINK because theres no other number to plUS 9 | False_Neither | null |
14,296 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | I THINK because theress no other number to plUS 9. | False_Misconception | Additive |
14,297 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | I WAS GUESSING BECAUSE IT WAS HARD | False_Neither | null |
14,298 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | I WAS JUST GUESSING BECAUSE IT HAD BEEN SO DIFFICULT. | False_Neither | null |
14,299 | 31,778 | \( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ? | \( 9 \) | I am guessing D because 3 times 3 is 9. | False_Misconception | Irrelevant |
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