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
12,500
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you add five to the numbers.
False_Misconception
Additive
12,501
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you add on 5 to 4 it creates 9
False_Misconception
Additive
12,502
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you added 5 to the bottom, so you should addd it on top.
False_Misconception
Additive
12,503
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you added 5 to them so tac away 5
False_Misconception
Additive
12,504
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you do the same thing with the denominator as you do with its multiplier.
False_Neither
null
12,505
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you have 5 in each one.
False_Neither
null
12,506
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you have 5 in eachh one.
False_Neither
null
12,507
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you have minused 5 from 15 to get to 10 so nine minus 5 would be 4
False_Misconception
Additive
12,508
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you have to do 9-5 becausee the 5 was used for 9/15 and you get 4. 4 is the value of a.
False_Misconception
Additive
12,509
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you have to make it the lcd and then find t out, then subtract it.
False_Neither
null
12,510
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you have to subtract 5 from 15 to get to 10, so 9 minus 5 would be 4.
False_Misconception
Additive
12,511
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you know that 10-15=5 so then you do 9-5=4 then you get your answer
False_Misconception
Additive
12,512
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you need to do the same thing to the numerator that you did to the denominator in this case is adding 5
False_Misconception
Additive
12,513
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you would add 5 to 10 to get 15 so you would take away 5 from 9
False_Misconception
Additive
12,514
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
you would mnus 5 from 9 to get 4
False_Misconception
Additive
12,515
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 4 \)
youu added 5 to them so tac away 5.
False_Misconception
Additive
12,516
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
(Miss lowry thank you for the explanation)
True_Neither
null
12,517
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
1 half of 10 is 5, 10 plus 5 is 15. So half of 6 is 3, 6 + 3 = 9
True_Neither
null
12,518
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
1/3 of 15=5 and then times by 2 is 10. so, 1/3of 9 is 3 and times times two is 6 which means it must be c.
True_Correct
null
12,519
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 + halve value of itself = 15 6 + 3 = 9 or (10x9)/15 = 6
True_Correct
null
12,520
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 + halve value of itself = 15 6 + 3 = 9 or (10x9)/15 = 6
True_Correct
null
12,521
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 = 2/3 of 15, so the denominator needs to be 2/3 of 9 which is 6
True_Correct
null
12,522
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 and 15 are both in 5 times table 5 times 3 is 15 so i divided 9 by 3 then times 2
True_Misconception
Irrelevant
12,523
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 and 15 both go into five like if it was in fives it would be 2/3 so 6 and 9 both go into three the same way
True_Correct
null
12,524
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 and 15 go into 30 and then 3x6 is 18 same with 9x3.
True_Correct
null
12,525
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 and 15's LCF = 30. So for ?/30 to be equal to 18/30, the number will have to be 18. Now, I will convert it back to it's original form by dividing 18 by 3 which equals 6.
True_Correct
null
12,526
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 divided by 5=2 15 divided by 5=3 9 divided by 3 =3 times 2=6
True_Correct
null
12,527
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2 and 15 is 3 so a will be 2/3 of 9 which is 6
True_Correct
null
12,528
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 from 15 so 2/3 from 6 is 9
True_Correct
null
12,529
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15 and 6 is 2/3 of 9
True_Correct
null
12,530
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15 and 6 is 2/3 of 9
True_Correct
null
12,531
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15 and 6 is 2/3 of 9
True_Correct
null
12,532
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15 and 6 is 2/3 of 9.
True_Correct
null
12,533
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15 so 6 is 2/3 of 9
True_Correct
null
12,534
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15 so A had to be 2/3 of 9
True_Correct
null
12,535
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15 so i find out 2/3 of 9 which is 6
True_Correct
null
12,536
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15 so minus 1/3 of the numerator so it would be 6.
True_Correct
null
12,537
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15, and 6 is 2/3 of 9
True_Correct
null
12,538
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 of 15. So A is 2/3 of 9
True_Correct
null
12,539
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 or 15 so A must be 2/3 of 9 and 2/3 or 9 is 6
True_Correct
null
12,540
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is 2/3 out of 15 and 2/3 of 9 is 6 so the answer is 6
True_Correct
null
12,541
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is in the 5 x tables. 5x2=10 5x3=15 9 is in the 3 x tables. 3x3=9 3x2=6
True_Misconception
Irrelevant
12,542
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is two thirds of 15 and two thirds of 9 is 6 therefore six tenths is equal to nine fifteenths
True_Correct
null
12,543
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is two thirds of 15 so do the same thing on the top
True_Correct
null
12,544
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is two thirds of 15 therefore the number above it has to be two thirds of 9 so it is 6
True_Correct
null
12,545
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 is two thirds of 15, so A must be two thirds of 9, which is 6.
True_Correct
null
12,546
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 multiplied by 3 makes it 30. 15 multiplied by 2 is 30. As they're equivalent A=18 18 split three ways is 6.
True_Correct
null
12,547
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 times 1.5 is 15 so I divided 9 by 1.5 the answer was 6
True_Correct
null
12,548
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 times 1.5 is 15 so then you do 9 divided by 1.5 to find out what the value of A is.
True_Correct
null
12,549
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 times 3 =30/18. Is the same as 10/and 15/9
True_Neither
null
12,550
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 times 3 equals 30 and 6 times 3 equals 18. Then you can simplify it to 9/15
True_Correct
null
12,551
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 times 9 is 90 and 15A. I divide both by 15 which equals 0 and 90 divide by 15 equals six.
True_Correct
null
12,552
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 to 15 is 10 divided by 2 then multiplied by 3. so to 9 we do multiply by 2 and divide by 3 which results in 6
True_Correct
null
12,553
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 to 15 is 5 more so 6 to 9 is 3 more
True_Neither
null
12,554
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 to 15 is adding a third and what you do to the bottom you do to the top
True_Neither
null
12,555
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 to 15 is x 1.5 .So then we have to do 9/1.5 which is 6.
True_Correct
null
12,556
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 us 2/3 of 15. so 6 is 2/3 of 9
True_Correct
null
12,557
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 x 1.5 = 15.to find the value of A, you divide 9, by what It would of initially been x by = 1.5 9/1.5 = 6.
True_Correct
null
12,558
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10 x 1.5 is 15. 9 / 1.5 is 6 so the numerator must be 6 (C).
True_Correct
null
12,559
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10/2 is 5 and 15/3 is 5 so (9/3)2 is 6
True_Neither
null
12,560
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10/2 is 5 and 5x3=15. Now If I do an inverse operation on 9 (divide by three and double) it is 6
True_Correct
null
12,561
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
10x3 divided by 2 is 15, so do the reverse to 9. Multiply by 2, which is 18, then divide by 3 which is 6.
True_Correct
null
12,562
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 / 10 = 1.5, so to find A, we have to divide 9 by 1.5. 9 / 1.5 = 6 because 1.5 goes into 9 six times. Now we know that A is 6.
True_Correct
null
12,563
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 1 and a half 10 so 9 is 1 1 / 2 of 6.
True_Correct
null
12,564
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 1 and a half 10 so 9 is one and a half of 6
True_Correct
null
12,565
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 and 9 both divided by 3 is 3/5 then 5 * 2 = 10 and 3 * 2 = 6
True_Correct
null
12,566
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 and 9 both go into 3 to and gives you 3 fifths and same with the other one
True_Neither
null
12,567
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 and 9 can divide by 3 = 5 and 3 then times it by 2 = 6/10
True_Correct
null
12,568
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 by 3 is 5 x 2 =10 9by3 is 3 x 2 =6
True_Correct
null
12,569
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided 5=5 and 9 divided 3 = 3 than times 3/5 by 2 what equals 6/10 a=6
True_Correct
null
12,570
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided by 1.5 is 10. i did the same to the top numbers (9 divided by 1.5 equals 6)
True_Correct
null
12,571
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided by 10 is 1.5 times 6 is 9
True_Correct
null
12,572
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided by 10 is 1.5. So you have to do 9 divided by 1.5 is 6.
True_Correct
null
12,573
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided by 10 is 1.5. Test each option by multiplying them with 1.5. See which one gives you 9. The answer is 6.
True_Correct
null
12,574
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided by 3 =5 so 9 divided by 3 = 3 and 3+3=6
True_Misconception
Irrelevant
12,575
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided by 3 equals 3/5 so 3 /5 times by 2 which gives you the answer
True_Neither
null
12,576
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided by 3 then times 2 you get 6/10
True_Correct
null
12,577
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 divided by 3 times 2 = 10, so i did the same to nine and got 6.
True_Correct
null
12,578
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 goes into 30 by 2 and 9x2=18 which means it must equal 6
True_Correct
null
12,579
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 is 1.5 times bigger than 10, so you do the same to the numerator and 9 divided by 1.5 is 6
True_Correct
null
12,580
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 is 1.5 times bigger than 10. I have to divide 9 by three to find a
True_Neither
null
12,581
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 is 1/3 more than 10 So subtract 1/3rd of 9 from 9 = 6
True_Correct
null
12,582
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15 x 2= 30 and 9 x 2= 18 which makes 18/30. 10 x 3= 30 and 6 x 3 = 18.
True_Correct
null
12,583
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15a=90 and then divide by 15 to get a=6
True_Correct
null
12,584
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
15x2 =30 9x2=18 10x3=30 so if you did 6x3 it would =18
True_Correct
null
12,585
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
2 * 3 = 6 and 3 * 3 = 9/15 so they are equivalent because both six and 9 are in the 3 timetable.
True_Misconception
Irrelevant
12,586
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
2/3 o 15 yw 10 a 2/3 o 9 yw 6
True_Correct
null
12,587
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
2/3 of 15 is 10 and 2/3 of 9 is 6
True_Correct
null
12,588
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
2/3 of 15 is 10 so 2/3 of 9 is 6
True_Correct
null
12,589
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
2/3 of 15 is ten so 2/3 of 9 is 6.
True_Correct
null
12,590
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
2/3 of 9 is 6 and 2/3 of 15 is 10
True_Correct
null
12,591
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
2/3s of 15 is 10, and 2/3s of 9 is 6, therefore the answer is 6/10.
True_Correct
null
12,592
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
3 /5 is the same as 9/15 and 3/5 is the same as 6/10
True_Correct
null
12,593
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
3 goes into 9 and 15 3 and 5 times so it would be 3 over 5 and you double that to get 6 over ten
True_Correct
null
12,594
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
3 times 2 = 6 because 6 times 3 is 9 and 9 times 5 is 5. so you can do 3x2=6.
True_Neither
null
12,595
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
3/5 can also be put as 6/10 or 9/15
True_Correct
null
12,596
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
3/5 into tenths is 6/10 and into 15ths is 9/15
True_Correct
null
12,597
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
3/5 is equal to 6/10 which is equal to 9/15
True_Correct
null
12,598
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
3/5 is equal to 9/15 so that also means 3/5 is equivelent to 6/10 and by using this evidence , a is equal to 6.
True_Correct
null
12,599
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
3/5 is in its simplest form 3/5=6/10
True_Correct
null