row_id
int64
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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
13,600
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The fraction in its simplest form is 3/5 which makes the A 6
True_Correct
null
13,601
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The lowest common multiple between 10 and 15 is 30. If we do 15x2 we get 30. So we must do 9x2 and get 18. If we do 10x3 we get thirty. As we times it by three we need to divide 18 by 3 if they are equivalent, giving us 6.
True_Correct
null
13,602
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The lowest common multiple is 30 so it is 6
True_Neither
null
13,603
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The made it bigger to 6/10.
True_Neither
null
13,604
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The only thing equivalent to 9/15 with 10 as the denominator is 6
True_Correct
null
13,605
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The original fraction was 1/5 and it was times by 2 and it’s just times by 2 agian
True_Neither
null
13,606
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The reasoning is in my book.
True_Neither
null
13,607
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The relation between 15 and 10 is applied to 9, and then you get 6.
True_Neither
null
13,608
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The remainder of 9 fifteenths in 6
True_Neither
null
13,609
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The top Numerator is 3 times table the denominator is 5 times tables so 3, 6, 9, and 10, 15, 20,
True_Correct
null
13,610
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The top numerator is 3 times the denominator so 3, 6, 9, and 10, 15, 20.
True_Neither
null
13,611
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The top stays the same and you added 5 to 10
True_Neither
null
13,612
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The value is A is 6 because it is equal to 9/15 when you simplify.
True_Neither
null
13,613
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_Misconception
Additive
13,614
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The value of A is 6 because to get from 15 to 10, you divided by 3 then multiply by 2, so you do the same for 9.
True_Correct
null
13,615
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The value of a is 6 (C) because 6 fits into 3 (9) and the 10 fits into 15 and so on
True_Neither
null
13,616
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The value of a is 6 because I divide 9 by 3 and times it by two which allows me to get the value of the similar fraction.
True_Correct
null
13,617
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
The way 10 and 15 link is 10 divided by 2 times 3 and to solve the numerator you would need to do the inverse from 9. (9 divided by 3 = 3)(3 multiplied by 2 = 6)
True_Correct
null
13,618
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Thee lowest multiple is 30, so it is 6.
True_Neither
null
13,619
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
There are a lot of wordss to say so no so yeah.
True_Neither
null
13,620
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
There is 5 threes in 15 which means that there is 5 twos in 10. This means that the 9 is out of 15 would be 3 lots of 3. This means that you would also need to triple the 2 which makes it 6. Therefore they are equal.
True_Correct
null
13,621
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
They added 1/3 of 15 to 10 to get 15, so if you take 1/3 from 9 you get 6
True_Correct
null
13,622
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
They all simplify into 3/5. 6/10 simplifies into 3/5 and so does 9/15
True_Correct
null
13,623
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is because 10x 1.5 = 15 so a = 9÷1 .5 and 9÷1.5 = 6
True_Correct
null
13,624
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is becasue 9/15 can be simplified to 6/10 which is our answer
True_Correct
null
13,625
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is because 9/15 = 3/5 and than times by 2 = 6/10
True_Correct
null
13,626
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is because 9/15 is equal to 6/10
True_Neither
null
13,627
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is because i simplified it and got 3/5 and then I times it by 2
True_Correct
null
13,628
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is because if you multiply both sides by 30 then the LCM is 10 and 15
True_Neither
null
13,629
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is because it is equivalent to 18/30.
True_Correct
null
13,630
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is because the distance between 10 and 15 is ×1.5, which means that 9 divided by 1.5 is 6
True_Correct
null
13,631
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is the answer because 10 is 2/3 of 15 so 2/3 of 9 is 6.
True_Correct
null
13,632
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is the answer because 15 and 6 is multiple of 2
True_Misconception
Irrelevant
13,633
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This is this because it is equivalent to 18/30
True_Correct
null
13,634
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
This the answer because 15 and 6 is multiple of 2 and the other fraction is multiple of 3
True_Misconception
Irrelevant
13,635
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
To get a denominator of 10 from 9/15, we need to divide by 3 and multiply by 2 both numerator and denominator 9/15=3/5=6/10 so A=6
True_Correct
null
13,636
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 is 10 and I did the same to the top and it was 6
True_Correct
null
13,637
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
To get from tenths to fifteenths you have to divide the denominator by 2, then multiply it by 3. This is the same for the numerator except as we do not know what a is we have to work backwards. 9 divided by 3 is 3 multiplied by 2 is 6.
True_Correct
null
13,638
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
To get the denominator from 15 to 10 you divide it by 3 and then multiply by two. I did this to the number 9 to get 6.
True_Correct
null
13,639
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
To get to 15 from 10 you can multiply by 1.5, so 1.5 multiplied by 6 = 9
True_Correct
null
13,640
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
To get to 15 you need to addd 50% of 10 so that is 6 + 50% = 9.
True_Correct
null
13,641
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
To make the denominators equal, I multiplied 15 by 2, then divided it by 3. I then did this to 9
True_Correct
null
13,642
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
To make the first fraction the same i times by 3 (18 / 3 = 6).
True_Correct
null
13,643
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
To make the other fraction a denominator of 30, you must multiply by 3 and 6x3 (to make it equal), is 18.
True_Correct
null
13,644
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Turn them into 30 it will be 18/30 and you times 10 by 3 and then you divide 18 by three
True_Correct
null
13,645
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Two thirds of 15 is 10, so two thirds of 9 is 6.
True_Correct
null
13,646
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Two thirds of 15 is 10, two third of 9 is 6.
True_Correct
null
13,647
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
We divide 9/15 by 3 as that will make it 3/5. Now we can multiply that by 2 to make 6/10.
True_Correct
null
13,648
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
We found the common denominator which is 30 then I multiplied 9 by 2 to make 18 after that I divided 18 and 3 which made 6 because both fractions are equal. I found this one a bit tricky so my mum helped with this question. Bye!
True_Correct
null
13,649
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Well if 9 and fifteen are both divisible by three. Ten is 2/3 of 15 so 2/3 of 9 is 6 so that’s the answer.
True_Correct
null
13,650
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
When we found out how much if the denominator was 5, and it was 3/5, and then we doubled it, And it came out to 6/10.
True_Correct
null
13,651
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
When you change dominator to 30 then 15 and 9 change to 30 18. Then you change another one to 30. then A is will be 6
True_Correct
null
13,652
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
When you find the common denominator of 30, 6 is the numerator.
True_Correct
null
13,653
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
When you make the denominators the same using this answer it ends up being the same.
True_Neither
null
13,654
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
When you simplify them both you get 3/5
True_Correct
null
13,655
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Worked out the relationship between the bottom numbers and applied to the top
True_Neither
null
13,656
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You add 50% of 10 to get to 15 6 add 50% = 9
True_Neither
null
13,657
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You can change them to something over 30.
True_Neither
null
13,658
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You can half 9 to get six
True_Neither
null
13,659
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You can simplify 9 over 15 to make 3 over 5 then to make the denominator 10, you need to multiply by 2. 3 times 2 is 6
True_Correct
null
13,660
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You can turn them into /5 you get 3/5 and then do 3/5 x 2 you get 6/10
True_Correct
null
13,661
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You convert it and get that answer
True_Neither
null
13,662
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You divide it by 3 and then multiply by 2.
True_Correct
null
13,663
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You divide the numerator and denominator of 9/15 and that makes 3/5 and double 3/5 which is 6/10.
True_Correct
null
13,664
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You do 15 divided by 10 is 1.5 so 1.5 x 6 is 9.
True_Correct
null
13,665
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You do thee math, and you get the answer.
True_Neither
null
13,666
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You find a common denominator of 30and then you can work out how to get it back to a tenth
True_Neither
null
13,667
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You find a common denominator of 9 and 15,which is 3,then you would divide 9 by 3,which is 3. 15/3 is 5.5x2 =10 and 3x2=6
True_Correct
null
13,668
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You find a common denominator which is 30 so then you have to find the number that will equal what we already know, 18/30. To get A/30 I had to multiply it by 3, so 6 times 3 is 18.
True_Correct
null
13,669
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You half nine and you get your answer
True_Neither
null
13,670
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You have to change the denominator to 150 then you will get the answer.
True_Neither
null
13,671
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You have to divide 9 by 3, and times by two because the realtion between ten and fifteen is fifteen divided by 3 (which is 5) and times by two(which is ten)
True_Correct
null
13,672
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You have to find the common denominator which is 30 and 9 x 2 is 18 and 3 x 6 is 18
True_Correct
null
13,673
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You have to find the equivalent fractions .
True_Correct
null
13,674
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You make denomonators the same to 30 and times the numerator by 3 and 2. There is 3A and 18 18 divided by 3 is 6
True_Correct
null
13,675
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You make the 10 5 because if you do x3 you get 15.Now, you do the inverse with 9.
True_Neither
null
13,676
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You multiply 15 by 150 and then multiply 9 by 90. Then divide 150 by 10, then X the answer by 9.
True_Neither
null
13,677
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You need to find the lowest common denominator which is thirty then you get both fractions into thirtieth.This leaves 3A=18 which leaves A=6.
True_Correct
null
13,678
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You need to see the nabers because they aree difrent
True_Neither
null
13,679
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You need to simplify 9/15, and then work out the value of A.
True_Neither
null
13,680
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You simplerfy it then see whats in commen and what ever is do to the top you do to the bottem
True_Neither
null
13,681
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You simplify the 9/15 to 3/5 then double it to 6/10
True_Correct
null
13,682
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You turn 15 in to 150 and turn 9 into 90 and then divide 150 by 10 then X the answer by 90
True_Neither
null
13,683
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
You would just times the bottom number by5and the top one by 3
True_Neither
null
13,684
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
Your first simplify then you times by two
True_Correct
null
13,685
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a 5th of 15 is 3 and other is 2 so has to be 6 if convert 150 both equal 90
True_Neither
null
13,686
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a = 6 because to get from 10 to 15 you have to divide by 5 then times by two. you have to work backwards with 9
True_Correct
null
13,687
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a = 9 times 10 all divide by 15
True_Correct
null
13,688
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a could be 3/5 so u times it by 2 it makes 6/10
True_Correct
null
13,689
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a is 2/3 out of 9 which is 6
True_Correct
null
13,690
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a times by 15 and 10 times by 9 =15a=90 then you divide it all by 15 to make a=6
True_Correct
null
13,691
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a times by 15 and ten times b = 15a=90 then you divide it all by 20 to makr n=6.
True_Correct
null
13,692
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a would be 6 because the other​ fraction before it, would be 3 5
True_Correct
null
13,693
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a/10 = 9/15 then i did 9/15 bigger to 18/30 so I saw that 30 dived by 10 is 3 so I dived 18 by 3 to get 6
True_Correct
null
13,694
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a/10 equals 3a/30, which equals 18/30, so 3a is 18, meaning a is 6.
True_Correct
null
13,695
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
a/10=9/15 b=30 18 divided by 3=6
True_Correct
null
13,696
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
adam helped me but didnt just tell me
True_Neither
null
13,697
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
answers to book also have a nice day miss :d
True_Neither
null
13,698
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
as 10 is 2/3 of 15 so 6 is 2/3 of 9
True_Correct
null
13,699
31,778
\( \frac{A}{10}=\frac{9}{15} \) What is the value of \( A \) ?
\( 6 \)
as it goes up in 5's you take 3 off
True_Neither
null