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problem_id
int64
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678k
PSB6N4
1
Fill-in-the-blank(s)
Numeric
<p>28 is 7 times what number?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
4
4
null
null
151,389
PSBM5G
2
Fill-in-the-blank(s)
Numeric
<p>Evaluate 10<sup>3</sup>.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
1,000
1,000
null
null
58,180
PSBM5G
1
Fill-in-the-blank(s)
Numeric
<p>Evaluate 5<sup>3</sup>&nbsp;&sdot; 2<sup>3</sup>.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
1,000
1,000
null
null
58,041
PSBB9
1
Fill-in-the-blank(s)
Numeric
<p>There are 12 inches in 1 foot and 5,280 feet in 1 mile. Jada ran&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mfrac><mn>1</mn><mn>4</mn></mfrac></math>&nbsp;miles.</p> <p>&nbsp;</p> <p>How many feet is that? &nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> feet</p>
17160
17160
null
null
95
PSBCC
1
Fill-in-the-blank(s)
Numeric
<p>Given the equation&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>&#8208;</mo><mn>3</mn><mi>x</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>2</mn><mo>.</mo><mn>5</mn></math>:</p> <p>&nbsp;</p> <p>When&nbsp;<em>x</em>&nbsp;is 1, what value of&nbsp;<em>y</...
-0.5
-0.5
null
null
93
PSBFF
1
Fill-in-the-blank(s)
Drop Down
<p>Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.</p> <p>&nbsp;</p> <p>Is there a week when they have the same amount of money?&nbsp;</p> <p>&nbsp;</p> <p><ast-r type="dropdown"...
<p>No</p>, <p>Yes</p>
<p>Yes</p>
null
null
253
PRABQMA9
1
Fill-in-the-blank(s)
Numeric
<p>Divide.</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>9</mn></mfrac><mo>&#247;</mo><mfrac><mn>8</mn><mn>15</mn></mfrac></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
6-May
6-May
null
null
320,140
PSBXG
2
Fill-in-the-blank(s)
Numeric
<p>What is the scale factor?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
3
3
null
null
2,532
PRABG43A
1
Fill-in-the-blank(s)
Algebraic Expression
<p>Factor to write an equivalent expression:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>26</mn><mi>a</mi><mo>-</mo><mn>10</mn></math></p> <p>&nbsp;</p> <p>If you get stuck, use a diagram to organize your work.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
2(13a-5)
2(13a-5)
null
null
3,056
PSBB5WF
3
Fill-in-the-blank(s)
Numeric
<p>Lin&rsquo;s second pan has a length of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>8</mn><mn>3</mn></mfrac></math>&nbsp;inches, a width of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>15</mn><mn>4</mn></mfrac></math>&nbsp;inches, and a height of&nbsp;<math xmlns="http://www.w...
15
15
null
null
319,193
PSBBEUD
3
Fill-in-the-blank(s)
Numeric
<p>How many days of the week is Noah considering?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r>days of the week</p> <p>&nbsp;</p> <p><img src="/images/assistments/188759.jpg" alt="The image is a decision tree diagram with three main branches labeled &quot;space,&quot; &quot;safari,&quot; and &quot;comics....
3
3
null
null
195,315
PSBYY
4
Fill-in-the-blank(s)
Numeric
<p>Evaluate the expression.</p> <p>&nbsp;</p> <p>6.08 + 2.02</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
8.1
8.1
null
null
3,036
PSBYY
5
Fill-in-the-blank(s)
Numeric
<p>Evaluate the expression.</p> <p>&nbsp;</p> <p>35 - 0.02</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
34.98
34.98
null
null
3,201
PSBYY
2
Fill-in-the-blank(s)
Numeric
<p>Evaluate the expression.</p> <p>&nbsp;</p> <p>7 - 0.18</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
6.82
6.82
null
null
2,812
PSBYY
3
Fill-in-the-blank(s)
Numeric
<p>Evaluate the expression.</p> <p>&nbsp;</p> <p>13.23 + 2.67</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
15.9
15.9
null
null
2,930
PSBYY
1
Fill-in-the-blank(s)
Numeric
<p>Evaluate the expression.</p> <p>&nbsp;</p> <p>11 - 4.9&nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
6.1
6.1
null
null
2,695
PSB4G
1
Fill-in-the-blank(s)
Numeric
<p>Andre is reviewing proportional relationships. He wants to practice using a graph that goes through a point so that each coordinate is between 1 and 10.</p> <p>&nbsp;</p> <p>For the point, how many outcomes are in the sample space?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
100
100
null
null
3,566
PSB4G
2
Fill-in-the-blank(s)
Numeric
<p>For how many outcomes are the<em>&nbsp;<span><span><span><span>x</span></span></span></span></em>-coordinate and the&nbsp;<em><span><span><span><span>y</span></span></span></span></em>-coordinate the same number?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
10
10
null
null
3,705
PRABG429
1
Fill-in-the-blank(s)
Algebraic Expression
<p>Expand to write an equivalent expression:&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>(</mo><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>4</mn><mi>y</mi><mo>)</mo></math></p> <p>&nbsp;</p> <p>If you get stuck, use a diagram to organize your work.</p> <p>&nbsp...
x-2y
x-2y
null
null
2,894
PSBBEUD
2
Fill-in-the-blank(s)
Numeric
<p>How many locations is Noah considering?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r>locations</p> <p>&nbsp;</p> <p><img src="/images/assistments/188759.jpg" alt="The image is a decision tree diagram with three main branches labeled &quot;space,&quot; &quot;safari,&quot; and &quot;comics.&quot; Each br...
2
2
null
null
194,852
PSB25V
3
Fill-in-the-blank(s)
Numeric
<p>Divide&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></math>&nbsp;by the following unit fraction.</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>6</mn></mfrac></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></...
27
27
null
null
131,506
PRABFCKF
1
Order / Sort
Ordering
<p>Order from smallest to largest:</p>
Number of slices of bread in a stack that is 1 ft high, Number of books in a stack that is 1 ft high, Number of dollar bills in a stack that is 1 ft high, Number of pennies in a stack that is 1 ft high
Number of slices of bread in a stack that is 1 ft high, Number of books in a stack that is 1 ft high, Number of dollar bills in a stack that is 1 ft high, Number of pennies in a stack that is 1 ft high
null
null
238,362
PRABFG5X
1
Order / Sort
Ordering
<p>The table shows five states and the lowest point in each state.</p> <p>&nbsp;</p> <table style="height: 177px;" border="1" width="333"> <thead> <tr> <th style="width: 100.75px;" scope="col"><span style="font-size: 12pt;">State</span></th> <th style="width: 217.45px;" scope="col"><span style="font-size: 12pt;">Lowest...
California, Louisiana, Wyoming, New Mexico, Colorado
California, Louisiana, Wyoming, New Mexico, Colorado
null
null
5,669
PSBBFD5
1
Fill-in-the-blank(s)
Numeric
<p>Find the value of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>24</mn><mn>25</mn></mfrac><mo>&#247;</mo><mfrac><mn>4</mn><mn>5</mn></mfrac></math>.</p> <p>&nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
5-Jun
5-Jun
null
null
199,749
PSBRQK
2
Fill-in-the-blank(s)
Numeric
<p>Find&nbsp;the&nbsp;quotient.</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>&#247;</mo><mfrac><mn>3</mn><mn>10</mn></mfrac></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
16 2/3, 50/3
16 2/3, 50/3
null
null
76,591
PSBRQK
3
Fill-in-the-blank(s)
Numeric
<p>Find&nbsp;the&nbsp;quotient.</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>&#247;</mo><mfrac><mn>9</mn><mn>10</mn></mfrac></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
50/9, 5 5/9
50/9, 5 5/9
null
null
76,716
PSBDP4S
1
Fill-in-the-blank(s)
Numeric
<p>Find&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn><mo>&#247;</mo><mfrac><mn>3</mn><mn>5</mn></mfrac></math>. Try not to use a diagram, if possible.&nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
20
20
null
null
594,494
PSBG4B
2
Fill-in-the-blank(s)
Numeric
<p>A rectangular bathroom floor is covered with square tiles that are&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></math> feet by <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></math> feet. The length of the bathroom ...
4 1/3
4 1/3
null
null
36,911
PSBCY9G
2
Fill-in-the-blank(s)
Numeric
<p>Find the correct quotient.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
15-Aug
15-Aug
null
null
469,563
PSB222
1
Fill-in-the-blank(s)
Numeric
<p>Find the value of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>15</mn><mn>4</mn></mfrac><mo>&#160;</mo><mo>&#247;</mo><mo>&#160;</mo><mfrac><mn>5</mn><mn>8</mn></mfrac></math>.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
6
6
null
null
130,932
PSB25V
1
Fill-in-the-blank(s)
Numeric
<p>Divide&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></math>&nbsp;by the following unit fraction.</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>8</mn></mfrac></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
36
36
null
null
131,258
PSB25V
2
Fill-in-the-blank(s)
Numeric
<p>Divide&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></math>&nbsp;by the following unit fraction.</p> <p>&nbsp;</p> <p>&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker=...
18
18
null
null
131,386
PSBBT7
1
Fill-in-the-blank(s)
Numeric
<p>Han found a way&nbsp;to compute complicated expressions more easily. Since&nbsp;<span><span><span><span>2&nbsp;</span><span><span><span><span><span><span><span>&sdot;&nbsp;</span></span></span></span></span></span></span><span>5</span><span>=</span><span>10</span></span></span></span>, he looks for pairings of 2s an...
270000
270000
null
null
7,635
PSBBT7
2
Fill-in-the-blank(s)
Numeric
<p>Han found a way&nbsp;to compute complicated expressions more easily. Since&nbsp;<span><span><span><span>2&nbsp;</span><span><span><span><span><span><span><span>&sdot;&nbsp;</span></span></span></span></span></span></span><span>5</span><span>=</span><span>10</span></span></span></span>, he looks for pairings of 2s an...
180000
180000
null
null
7,829
PSBGZP
2
Fill-in-the-blank(s)
Numeric
<p>A zookeeper is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mfrac><mn>1</mn><mn>4</mn></mfrac></math> feet tall. A young giraffe in his care is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mfrac><mn>3</mn><mn>8</mn></mfrac></math> feet tall.</p> <p>&nbsp;</p> <p>What fraction of th...
3-Feb
3-Feb
null
null
36,501
PSBDK49
1
Fill-in-the-blank(s)
Numeric
<p>Here is a right triangle. What is its area?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r>cm<sup>2</sup></p> <p>&nbsp;</p> <p><sup><img src="//resources.assistments.org/fetch/C/9c37f243-b005-4550-b505-14c3ea97af75.jpeg" alt="A right triangle.&nbsp;" width="317" height="165"></sup></p>
8-Mar
8-Mar
null
null
577,269
PRABJCHV
1
Fill-in-the-blank(s)
Numeric
<p>A train moves at constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> &nbsp;miles per minute</p>
2-Mar
2-Mar
null
null
9,567
PRABJCHW
1
Fill-in-the-blank(s)
Numeric
<p>A car moves at a constant speed of 50 miles per hour. How long does it take the car to go 200 miles?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> hours</p>
4
4
null
null
9,673
PSBB8W
4
Fill-in-the-blank(s)
Numeric
<p>If you are standing on a beach right next to the ocean, what is your elevation?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
0
0
null
null
9,946
PSBBPYX
2
Fill-in-the-blank(s)
Numeric
<p>The area of a rectangle is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>17</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></math> in<sup>2</sup> and its&nbsp;shorter side&nbsp;is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mfrac><mn>1</mn><mn>2</mn></mfrac></math> in.</p> <p>&nbsp;</p> <p>What i...
5
5
null
null
242,315
PSBBP6G
1
Fill-in-the-blank(s)
Numeric
<p>Find the value of&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>32</mn></mfrac><mo>&#247;</mo><mfrac><mn>25</mn><mn>4</mn></mfrac></math>.&nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
Jan-40
Jan-40
null
null
243,107
PSBCAR
3
Fill-in-the-blank(s)
Numeric
<p>Use Priya&rsquo;s method to calculate <math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>0</mn><mo>.</mo><mn>0015</mn></mrow></mfenced><mo>&#160;</mo><mo>&#183;</mo><mo>&#160;</mo><mfenced><mrow><mn>0</mn><mo>.</mo><mn>024</mn></mrow></mfenced></math>.</p> <p>&nbsp;</p> <p><ast-r type="text" marker=...
0.000036
0.000036
null
null
10,585
PSB2GF
2
Fill-in-the-blank(s)
Numeric
<p>A bucket contains&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11</mn><mfrac><mn>2</mn><mn>3</mn></mfrac></math> gallons of water and is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>6</mn></mfrac></math> full. How many gallons of water would be in a full bucket?&nbsp;</p> <...
14
14
null
null
127,330
PSBB72
3
Fill-in-the-blank(s)
Numeric
<p>What is the measure of angle <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>E</mi><mi>B</mi></math>?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>°</mo></math></p>
60
60
null
null
10,007
PSBCCG
1
Fill-in-the-blank(s)
Numeric
<p>The scale of a map says that 8 cm represents 5 km.</p> <p><br>What distance on the map (in centimeters) represents an actual distance of 8 kilometers? &nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> centimeters</p>
12.8
12.8
null
null
10,706
PSBCBU
1
Fill-in-the-blank(s)
Algebraic Expression
<p>A right triangle has side lengths of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi></math> units. The longest side has a length of <math xmlns="http://www.w3.org/19...
a^2+b^2
a^2+b^2
null
null
10,412
PSBV2W
2
Fill-in-the-blank(s)
Numeric
<p>A sixth-grade science club needs&nbsp;$180 to pay for the tickets to a science museum.&nbsp;All tickets&nbsp;cost the same amount.</p> <p>&nbsp;</p> <p>Find the quotient.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
12
12
null
null
102,028
PSBBEUD
5
Fill-in-the-blank(s)
Numeric
<p>How many different possible outcomes are in the sample space?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r>possible outcomes</p> <p>&nbsp;</p> <p><img src="/images/assistments/188759.jpg" alt="The image is a decision tree diagram with three main branches labeled &quot;space,&quot; &quot;safari,&quot; a...
18
18
null
null
196,019
PSBWAZ
2
Fill-in-the-blank(s)
Numeric
<p>Find a value for&nbsp;<em>a</em>&nbsp;that makes the statement true.</p> <p>&nbsp;</p> <p><em>a</em> &divide; 6 is equal to 1</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
6
6
null
null
103,383
PSBCMS
2
Fill-in-the-blank(s)
Numeric
<p>Evaluate:</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mfrac><mn>1</mn><mn>2</mn></mfrac></mfenced><mrow><mo>-</mo><mn>3</mn></mrow></msup></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
8
8
null
null
12,381
PRABQAC2
1
Fill-in-the-blank(s)
Numeric
<p>&nbsp;</p> <p>Find the sum without a calculator.<br><br></p> <p><img style="max-width: none; vertical-align: -2px;" src="/pluginwiris_engine/app/showimage?formula=22bbc34e01f7cb88765fd6802036c385&amp;cw=488&amp;ch=16&amp;cb=14" width="488" height="16" data-mathml="&laquo;math xmlns=&uml;http://www.w3.org/1998/Math/M...
0
0
null
null
14,063
PSBC62
2
Fill-in-the-blank(s)
Numeric
<p>A gas company&rsquo;s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long.</p> <p>&nbsp;</p> <p>How much gas can fit in the tank?&nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> cubic feet</p> <p><em><span style="font-size: 10pt;">Use 3.14 as an approximation for pi.&...
6154, 6158
6154, 6158
null
null
15,627
PSBC6R
4
Fill-in-the-blank(s)
Numeric
<p>A child&rsquo;s pass costs $15. How many dollars does an adult pass cost?&nbsp;</p> <p>&nbsp;</p> <p>$<ast-r type="text" marker="1"></ast-r></p>
24
24
null
null
15,569
PSBC2Q
1
Fill-in-the-blank(s)
Numeric
<p>Calculate the product. If you get stuck, draw an area diagram&nbsp;to help.</p> <p>&nbsp;</p> <p>(<span><span>5.6</span><span>)&nbsp;</span><span><span><span><span><span><span><span>&sdot;&nbsp;</span></span></span></span></span></span></span><span>(</span><span>1.8</span><span>)</span></span></p> <p>&nbsp;</p> <p><...
10.08
10.08
null
null
14,749
PSBC39
1
Fill-in-the-blank(s)
Numeric
<p><span><span>Calculate the product. If you get stuck, draw an area diagram&nbsp;to help.</span></span></p> <p>&nbsp;</p> <p><span><span>(</span><span>0.008</span><span>)&nbsp;</span><span><span><span><span><span><span><span>&sdot;&nbsp;</span></span></span></span></span></span></span><span>(</span><span>7.2</span><sp...
0.0576
0.0576
null
null
15,038
PRABHX6P
1
Fill-in-the-blank(s)
Numeric
<p>A salesperson sold a car for&nbsp;$18,250 and their commission is&nbsp;$693.50. What percentage of the sale price is their commission?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r>%</p>
3.8
3.8
null
null
15,760
PSBC4Z
3
Fill-in-the-blank(s)
Numeric
<p>Three cylinders have a volume of 2826 cm<sup>3</sup>.</p> <p>Cylinder A has a height of 900 cm.</p> <p>Cylinder B has a height of 225 cm.</p> <p>Cylinder C has a height of 100 cm.</p> <p>Find the radius of the cylinder. Use 3.14 as an approximation for <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant...
3
3
null
null
15,234
PSBD8C
4
Fill-in-the-blank(s)
Algebraic Expression
<p>How much will a car be worth after one year if its initial value was <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math> dollars?&nbsp;If you get stuck, consider using diagrams or a table to organize your work.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> dollars</p> <p><em><span style=...
0.85x
0.85x
null
null
21,347
PSBEBS
1
Fill-in-the-blank(s)
Exact Match
<p>Write the expression with fewer terms.&nbsp;</p> <p>&nbsp;</p> <p>10x&nbsp;&minus;&nbsp;2x</p> <div style="position: absolute; left: 287px; top: 154.6px;">&nbsp;</div> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
8x
8x
null
null
21,711
PSBEEZ
2
Fill-in-the-blank(s)
Numeric
<p>How far are the hurdles from one another?&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> meters</p>
9.14
9.14
null
null
22,078
PSBEGN
1
Fill-in-the-blank(s)
Numeric
<p>Evaluate&nbsp;the expression:</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>&#160;</mo><mo>&#183;</mo><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>&#183;</mo><mo>&#160;</mo><mn>3</mn></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r>...
-6
-6
null
null
22,023
PSBEED
1
Order / Sort
Ordering
<p>Here are some scenarios:<br><br></p> <ul> <li>According to market research, a business has a&nbsp;75% chance of making money in the first 3 years.</li> <li>According to lab testing,&nbsp;<img style="max-width: none; vertical-align: -12px;" src="/pluginwiris_engine/app/showimage?formula=d77dda28b8fde8a539ac5c152b5410...
the business makes money, the light bulb still works, the car needs major repairs
the business makes money, the light bulb still works, the car needs major repairs
null
null
22,103
PSBEGN
2
Fill-in-the-blank(s)
Numeric
<p>Evaluate&nbsp;the&nbsp;expression:</p> <p>&nbsp;</p> <p><img src="/pluginwiris_engine/app/showimage?formula=31f19316ec1f904e39751c6c249c6eeb" data-mathml="&laquo;math xmlns=&uml;http://www.w3.org/1998/Math/MathML&uml;&raquo;&laquo;mo&raquo;(&laquo;/mo&raquo;&laquo;mo&raquo;-&laquo;/mo&raquo;&laquo;mn&raquo;1&laquo;/...
6
6
null
null
22,322
PSBEGN
3
Fill-in-the-blank(s)
Numeric
<p>Evaluate&nbsp;the&nbsp;expression:</p> <p>&nbsp;</p> <p><img style="max-width: none;" src="/pluginwiris_engine/app/showimage?formula=b12a2caee04e18e68254c11bdaa25dd7" data-mathml="&laquo;math xmlns=&uml;http://www.w3.org/1998/Math/MathML&uml;&raquo;&laquo;mo&raquo;(&laquo;/mo&raquo;&laquo;mo&raquo;-&laquo;/mo&raquo;...
-6
-6
null
null
22,552
PSBESA
2
Fill-in-the-blank(s)
Numeric
<p>The equation&nbsp;<em>d = 3t</em>&nbsp;represents the relationship between the distance (<em>d</em>)&nbsp;in inches that a snail is from a certain rock and&nbsp;the time (<em>t</em>) in minutes.</p> <p>&nbsp;</p> <p>How many minutes does it take the snail to get 9 inches from the rock? &nbsp;</p> <p>&nbsp;</p> <p><a...
3
3
null
null
23,822
PRABTS95
1
Fill-in-the-blank(s)
Numeric
<p>Find the area of the rectangle with the following side lengths.</p> <p>&nbsp;</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>7</mn><mn>6</mn></mfrac></math> in and&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>6</mn><mn>7</mn></mfrac></math>in</p> <p>&nbsp;</p> <p...
1
1
null
null
25,949
PRABEV4K
1
Fill-in-the-blank(s)
Numeric
<p>A random sample of people were asked which hand they prefer&nbsp;to write with.</p> <p><em>l</em>&nbsp;means they prefer to use their left hand.</p> <p><em>r</em>&nbsp;means they prefer to use their right hand.</p> <p>&nbsp;</p> <p>l&nbsp; &nbsp; &nbsp;r&nbsp; &nbsp; &nbsp;r&nbsp; &nbsp; &nbsp;r&nbsp; &nbsp; &nbsp;r...
15-Feb
15-Feb
null
null
24,873
PRABMSEU
1
Fill-in-the-blank(s)
Numeric
<p>Find the value of the expression.</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>&#160;</mo><mo>&#183;</mo><mo>&#160;</mo><mfenced><mrow><mo>-</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow></mfenced></math></p> <p>&nbsp;</p> <p><ast-r type="text...
10-Mar
10-Mar
null
null
26,005
PRABESKQ
1
Fill-in-the-blank(s)
Numeric
<p>The graph of a proportional relationship contains the point with coordinates (3, 12). What is the constant of proportionality of the relationship?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
4
4
null
null
25,520
PSBEXG
3
Fill-in-the-blank(s)
Numeric
<p>What is the constant of proportionality? &nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> &nbsp;sale dollars per original dollar</p>
0.8
0.8
null
null
24,963
PRABMSEV
1
Fill-in-the-blank(s)
Numeric
<p>Find the value of the expression.</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>8</mn><mn>3</mn></mfrac><mo>&#160;</mo><mo>&#183;</mo><mo>&#160;</mo><mo>-</mo><mn>42</mn></math></p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
-112
-112
null
null
26,296
PSBFCE
4
Fill-in-the-blank(s)
Numeric
<p>What is the value of <em>c</em>?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
4
4
null
null
27,276
PSBFCE
1
Fill-in-the-blank(s)
Numeric
<p>All of the points in the picture are on the same line.</p> <p>&nbsp;</p> <p><img src="/images/assistments/420874.jpg" alt="" width="384" height="391"></p> <p>&nbsp;</p> <p>Find the slope of the line.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
3
3
null
null
27,019
PSBC9S5
1
Fill-in-the-blank(s)
Numeric
<p>What is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>&#160;</mo><mo>&#247;</mo><mo>&#160;</mo><mfrac><mn>1</mn><mn>12</mn></mfrac></math>?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
10
10
null
null
517,656
PSBGGY
1
Fill-in-the-blank(s)
Numeric
<p>Solve the problem below.</p> <p>&nbsp;</p> <p>21 is what percentage of 30? &nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r>%</p>
70
70
null
null
33,653
PSBCBEC
2
Fill-in-the-blank(s)
Numeric
<p>Find the answer. Draw a diagram, if needed.</p> <p>&nbsp;</p> <p>A set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide. How many books can fit on the shelf?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> books</p>
24
24
null
null
351,353
PRABEGMJ
1
Fill-in-the-blank(s)
Numeric
<p>A cone has volume <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>12</mn><mi mathvariant="normal">π</mi></math> cubic inches. Its height is 4 inches. What is its radius?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> inches</p>
3
3
null
null
27,930
PSBFVZ
1
Fill-in-the-blank(s)
Numeric
<p>Diego made 6 boxes of spaghetti to feed 20 people who attended his dinner party. Next time, 50 people are coming! How many boxes of spaghetti should Diego buy to feed all those people? &nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> boxes of spaghetti</p>
15
15
null
null
30,276
PSBFYQ
2
Fill-in-the-blank(s)
Numeric
<p>Elena bought 8 tokens for&nbsp;$4.40. At this rate:</p> <p>&nbsp;</p> <p>How much do 19 tokens cost?</p> <p>&nbsp;</p> <p>$<ast-r type="text" marker="1"></ast-r></p>
10.45
10.45
null
null
30,779
PSBFYQ
1
Fill-in-the-blank(s)
Numeric
<p>Elena bought 8 tokens for&nbsp;$4.40. At this rate:</p> <p>&nbsp;</p> <p>How many tokens could she buy with $6.05? &nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> tokens</p>
11
11
null
null
30,604
PSBDNUV
1
Fill-in-the-blank(s)
Numeric
<p>What is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>&#247;</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></math>?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
6
6
null
null
587,537
PRABQMPS
1
Fill-in-the-blank(s)
Numeric
<p>Compute&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>4</mn><mo>,</mo><mn>803</mn></mrow></mfenced><mo>&#160;</mo><mo>&#183;</mo><mo>&#160;</mo><mn>95</mn></math>.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
456,285
456,285
null
null
284,725
PSBF75
1
Fill-in-the-blank(s)
Numeric
<p>Solve&nbsp;the problem below.</p> <p>&nbsp;</p> <p>What is 25% of 160?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
40
40
null
null
32,069
PSBF26
1
Fill-in-the-blank(s)
Numeric
<p>A snail travels 10 cm in 4 minutes. At this rate:</p> <p>&nbsp;</p> <p>How long will it take the snail to travel 24 cm?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> minutes</p>
9.6
9.6
null
null
31,058
PSBGBH
1
Fill-in-the-blank(s)
Numeric
<p>Solve&nbsp;the problem below.</p> <p>&nbsp;</p> <p>What is 150% of 32?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
48
48
null
null
32,696
PSBF9P
1
Fill-in-the-blank(s)
Numeric
<p>Solve&nbsp;the problem below.</p> <p>&nbsp;</p> <p>What is 39% of 200?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
78
78
null
null
32,378
PSBGC8
1
Fill-in-the-blank(s)
Numeric
<p>Solve&nbsp;the problem below.</p> <p>&nbsp;</p> <p>13 is 50% of what number?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
26
26
null
null
33,021
PSBGGX
2
Fill-in-the-blank(s)
Numeric
<p>What is the slope of the line you graphed?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
-1
-1
null
null
33,513
PSBGE8
1
Fill-in-the-blank(s)
Numeric
<p>Solve&nbsp;the problem below.</p> <p>&nbsp;</p> <p>18&nbsp;is 120% of what number?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
15
15
null
null
33,334
PRABQKZE
1
Fill-in-the-blank(s)
Numeric
<p>Compute&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>3</mn><mo>,</mo><mn>902</mn></mrow></mfenced><mo>&#183;</mo><mn>85</mn></math>.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
331670
331670
null
null
457,114
PSBG2Q
2
Fill-in-the-blank(s)
Algebraic Expression
<p>What is the volume of the cone? Express your answer in terms of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">&#960;</mi></math>.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="2"></ast-r>cubic units</p> <p><em><span style="font-weight: 400;">Use pi to represent the&nbsp;<math xmlns="htt...
36pi
36pi
null
null
36,673
PSBG69
2
Fill-in-the-blank(s)
Numeric
<p>What fraction of the daily recommended value of iron is in 1 cup of oatmeal?</p> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
15-Feb
15-Feb
null
null
37,276
PSBBZUE
1
Fill-in-the-blank(s)
Exact Fraction
<p>A teacher asked all the students in one class how many minutes it takes them to get to school. Here is a table of their responses:<br><br></p> <table style="border-collapse: collapse; width: 99.9406%;" border="1"> <tbody> <tr> <td style="width: 12.4781%; text-align: center;"><span style="font-size: 12pt;">20</span><...
24-Jul
24-Jul
null
null
297,138
PSB3AD
3
Fill-in-the-blank(s)
Numeric
<p>A line contains the points (-3, -2) and (7, 2).</p> <p>&nbsp;</p> <p><strong>Calculate the slope of the line.</strong></p> <div style="position: absolute; left: 150px; top: 93px;">&nbsp;</div> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
5-Feb
5-Feb
null
null
132,337
PSBG89
2
Fill-in-the-blank(s)
Exact Fraction
<p>What fraction of&nbsp;<img style="max-width: none; vertical-align: -12px;" src="/pluginwiris_engine/app/showimage?formula=6f1c8e0b8a382018cd45e3f7c4666ecf&amp;cw=18&amp;ch=35&amp;cb=23" width="18" height="35" data-mathml="&laquo;math xmlns=&uml;http://www.w3.org/1998/Math/MathML&uml;&raquo;&laquo;mfrac&raquo;&laquo;...
3-Feb
3-Feb
null
null
37,735
PSBBWH7
2
Fill-in-the-blank(s)
Numeric
<p>A stack of 500 pieces of paper is 1.875 inches tall.</p> <p>&nbsp;</p> <p>Compute the thickness of each piece of paper.</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r> inches</p>
0.00375
0.00375
null
null
277,925
PRABHHQY
1
Fill-in-the-blank(s)
Numeric
<p>The two triangles shown are similar. Find the value of&nbsp;<img src="/pluginwiris_engine/app/showimage?formula=c4f5cb1d17ab195fece2282a88ca53ca" data-mathml="&laquo;math xmlns=&uml;http://www.w3.org/1998/Math/MathML&uml;&raquo;&laquo;mfrac&raquo;&laquo;mi&raquo;a&laquo;/mi&raquo;&laquo;mi&raquo;b&laquo;/mi&raquo;&l...
3/2, 1.5
3/2, 1.5
null
null
37,464
PRABMSG5
1
Fill-in-the-blank(s)
Numeric
<p>Evaluate the expression. If the answer is not a whole number, write your answer as a fraction.</p> <p>&nbsp;</p> <p><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac><mo>&#160;</mo><mo>&#247;</mo><mo>&#160;</mo><mo>-</mo><mn>24</mn></math></p> <p>&nbsp;</p> <p><ast-r type="text" mar...
-0.055555556
-0.055555556
null
null
38,766
PSBHTM
2
Fill-in-the-blank(s)
Algebraic Expression
<p>Correct the error. What should the line actually be?</p> <p>&nbsp;</p> <p><ast-r type="text" marker="1"></ast-r></p>
4x-1
4x-1
null
null
40,512
PSBBZUE
2
Fill-in-the-blank(s)
Exact Fraction
<p>A teacher asked all the students in one class how many minutes it takes them to get to school. Here is a table of their responses:<br><br></p> <table style="border-collapse: collapse; width: 99.9406%;" border="1"> <tbody> <tr> <td style="width: 12.4781%; text-align: center;"><span style="font-size: 12pt;">20</span><...
9/24, 3/8
9/24, 3/8
null
null
297,237
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Unfortunate news: Please note that this project is primarily supported by federal grants from the US government. As such, we need to follow certain regulations. Sadly, one is that we cannot share data with researchers from countries designated as "Countries of concern". We hope to soon share this dataset with the many fabulous researchers from these countries, but as of today, we are not legally permitted to do so.

IMPORTANT UPDATE ON 3/19: Due to an issue with git LFS 700k rows in interactions.csv were missing. Please redownload the dataset to use these rows.

Note: Access requests are reviewed Monday. You may need to verify your email or use case, plesae monitor your email.

Coding mistakes (Discovered 9/29, thanks to the person who discovered tihs and emailed us.): There is a potential error on task 5 and 6 when it comes to text matching. We are hoping to fix this and will update the code and numbers accordingly.

Overview of Foundational ASSIST

Foundational ASSIST is a dataset containing all natural text of problems and student answers as recorded by ASSISTments. The problems are from from Illustrative Mathematics 6th - 8th grade math curriculum, a common core aligned curriculum popular in the United States.

The data is in the "Data" folder. The code used to generate results in the original paper by Worden et al. is in the Code folder, and the results (in case you do not wish to reinference) are in the "Results" folder.

The dataset is comprised of three files:

  1. Interactions, which contains students attempts of problems,
  2. Problems, which includes information relevant to problems, and
  3. Skills, which links Problems to skills. The dataset was curated to include 5,000 unique students who have each completed between 211-421 problems in ASSISTments. The dataset includes 1.7 million instances of students solving problems, complete with the answer text, problem text, distractor text, and more.

Interactions File

Interactions consists of 1,722,169 unique instances of students solving problems. The information provided includes a) problem_id, linking to Problems b) hint_count, the number of hints the student requested c) answer_text, the exact text of their first answer d) saw_answer, a boolean indicating whether the student requested to see the correct answer e) discrete_score, 0 the students score f) end_time, the time at which the student put in the correct answer to the problem g) user_xid, a unique identifier for each student.

Note that ASSISTments provides a discrete_score of 1 only if the student gets the problem correct on their first attempt, without requesting any support. If the student requests a hint, requests the answer, or has multiple tries they receive a 0. Accordingly, a student's answer can be the correct answer, but they can receive a 0 if the student requests a hint or sees the answer before entering the answer. This is shown in “table 7 cognitive accuracy when answers are incorrect” in our paper.

Problems File

This file consists of information about 3,395 unique problems. The columns include

  1. Problem Set Id, which links problems that follow one another
  2. Problem Part, which indicates where in the Problem Set the problem occurs
  3. Problem Type, describing the type of problem
  4. Answer Type, describing the type of answer (see below table or more information)
  5. Problem Body, the problem text with HTML or markup illustrating exactly what the student saw (code to convert to natural language is available on the github)
  6. Fill-in Options
  7. Fill-in Answers
  8. Multiple Choice Options
  9. Multiple Choice Answers
  10. problem_id

Problem Set example: PSB6N4 consists of three problems. The first is problem_id 151389 (as it has ‘Problem Part’ = 1, the second is problem_id 151533, and the third/last is 151647.

Answer Type Description Fill-in Options Fill-in Answers Multiple Choice Options Multiple Choice Answers
Numeric The student must type in the correct number The correct answer. If there are multiple correct answers they are separated by a “,”. The correct answer. If there are multiple correct answers they are separated by a “,”. n/a n/a
Drop Down The student must select the correct option from a drop-down menu. These are similar to multiple choice All the drop down options, separated by “</p>,” The correct dropdown option. n/a n/a
Algebraic Expression The student must type in the correct, short, algebraic expression, or a similar equivalent expression. E.g. if the answer is a^2+b^2 then b^2+a^2 would also be correct. The correct answer. If there are multiple correct answers they are separated by a “,”. The correct answer. If there are multiple correct answers they are separated by a “,”. n/a n/a
Ordering The student must order some values in some order. Note the initial order of how these are presented to students is randomized. The correct order of objects, separated by “,”. The correct order of objects, separated by “,”. n/a n/a
Exact Match The student must type in exactly the correct answer. This could be a number, expression, point, list, etc. The correct answer. If there are multiple correct answers they are separated by a “,”. Note that some answers, e.g. lists, require the whole text (1,2,3) and there is only a single answer. The correct answer. If there are multiple correct answers they are separated by a “,”. Note that some answers, e.g. lists, require the whole text (1,2,3) and there is only a single answer. n/a n/a
Exact Fraction The student must type in exactly the correct fraction. The correct answer. If there are multiple correct answers they are separated by a “,”. The correct answer. If there are multiple correct answers they are separated by a “,”. n/a n/a
Numeric Expression The student must type in a numeric expression. Note that simplification occurs, e.g. if the answer is 11^3, 1331 is also considered correct. The correct answer. If there are multiple correct answers they are separated by a “,”. The correct answer. If there are multiple correct answers they are separated by a “,”. n/a n/a
Multiple Choice The student must select the correct option. n/a n/a A list of options, separated by ‘||’. The correct option.
Check all that apply The student must select all correct option(s). n/a n/a A list of options, separated by ‘||’. The correct option(s), separated by ‘||’.

Skills File

The skills file consists of

  1. problem_id, linking to problems in the Problems file
  2. skill_id, a unique identifier per skill
  3. node_code, which identifies the ASSISTments Skill tag Illustrative Math code for the skill and
  4. node_name, a description of the skill. In total there are 224 unique skills.

Data Source

All data across each file are from ASSISTments, where students complete in-class work as well as homework and receive support and feedback from the platform. This work was done in conjunction with Dr. Heffernan’s lab at WPI. To ensure student privacy, our team attempted to remove all Personal Identifiable Information (PII). However, it is possible students could type PII into fill-in problems, which we aimed to detect and remove, but short of a manual review of 1.7 million interaction logs becomes infeasible. Accordingly, we ask that if people using this dataset come across PII to please contact us at etrials@assistments.org so it can be removed.

License and Sharing Agreement

This dataset is licensed under CC-BY-NC-4.0. We require that this dataset is used for research and educational purposes following this Responsible Use Guidelines.

Citation

If you use the FoundationalASSIST dataset in your research, please cite the following paper:

Worden, E., Heffernan, C., Heffernan, N., & Sonkar, S. (2026). FoundationalASSIST: An Educational Dataset for Foundational Knowledge Tracing and Pedagogical Grounding of LLMs. arXiv preprint arXiv:2602.00070.

BibTeX

@inproceedings{worden2026foundationalassist,
  title={FoundationalASSIST: Dataset for Foundational Knowledge Tracing \& Pedagogical Grounding of Large Language Models},
  author={Worden, Eamon and Heffernan, Cristina and Heffernan, Neil and Sonkar, Shashank},
  booktitle={International Conference on Artificial Intelligence in Education},
  pages={489--498},
  year={2026},
  organization={Springer}
}

FAQs

Q: Where is the code that cleans the problem text? A: This repository, in Code/clean_utils.py or cleantext.py, both are similar.

Q: How does discrete_score work? A: Discrete score is 1 if the student solved the problem on their first try without requesting a hint (hint_count) or an explanation/seeing the answer (saw_answer). Note this is recorded by ASSISTments. There are 433 rows where discrete_score = 1 despite saw_answer = True or hint_count > 0. In these instances, the student correctly solved the problem then requested hints/explanation/the answer anyways.

Q: Does the dataset track multiple attempts? (E.g. the student first incorrectly said 3, then incorrectly answered 6, then correctly answered 9) A: No. We recognize it may be valuable to have this data. However, currently, answer_text (in Interactions.csv) is the first answer (right or wrong) the student submitted for the problem. Second/future attempts are not included in this dataset, but stay tuned.

Q: I ran python gptoss120bvllmmcq.py --batch-size 10 --num-students 500 --bin-size 10 --min-history 50 --data-dir ../Data --num-gpus 4(or a similar) line and got a different number of predictions. Why? A: Between running the code and publishing the data we slighlty modified our PII filter. As such, this line: selected_users = np.random.choice(all_users, size=min(num_students, len(all_users)), replace=False) Had a slightly different order, which screwed everything up. If you'd like to run code using the exact same users, please modify your code to get the unique user_ids from Results/inference_data_kt_results.zip, and make selected_users be those unique user_ids. However, note that you may also find more rows (since our prior PII filter was overly strict, and we relaxed it) (~31k if you use the same script).

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