messages listlengths 3 3 |
|---|
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nSam writes these six fractions on cards: 2/3, 3/4, 4/6... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nThe fraction 3/7 is equivalent to 12/28. What number w... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nRewrite 3/4 and 5/6 as two fractions that have the sam... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nDivide both the numerator and the denominator of 18/24... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nSort the fractions 3/8, 5/10, 4/6, 1/4 and 5/9 by comp... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nWhich fraction makes this statement true? 2/5 < ___ < ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nWhich is greater, 5/12 or 2/5? Explain how you know.\n... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nName the sum as one fraction: 1/5 + 1/5 + 1/5 + 1/5 + ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nA number line is marked in fourths. Leo starts at 1 3/... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nA number line is marked in thirds. Point A is at 2 2/3... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nA number line starts at 0 and is marked in thirds. Poi... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nA baker used 2/8 of a bag of flour for bread and 3/8 o... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nA bag holds 8/9 pound of trail mix. The trail mix is m... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nA number line is marked in tenths. A frog starts at 0 ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nA line plot shows how many inches of rain fell on each... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nLena pours 4 equal glasses of juice. Each glass holds ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nCarlos builds 6 shelves. Each shelf uses 1 3/4 feet of... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nLena and Omar both found 5 x 1 2/3. Lena's work: 1 2/3... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nOne tenth is made of how many hundredths?\n\nWhat the ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nA pitcher has 0.8 litres of water in it. Kenji pours i... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nDev planted tomatoes in 6/10 of his garden and peppers... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nA 10 by 10 grid of 100 equal small squares has 3 full ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nA square is cut into 10 equal strips. Each strip is th... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nA number line from 0 to 1 is marked in tenths. Point M... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nA recipe uses two tenths of a cup of oil. Write that a... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.6):\nWrite 7 ones and 4 hundredths as a decimal.\n\nWhat th... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.6):\nPriya wrote 3/100 as the decimal 0.3. Tell what mistak... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.6):\nJin changed the fraction 6/100 to a decimal. He wrote ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.6):\nA class garden has 100 plants. Seven of the plants are... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.6):\nAna and Ben each wrote the decimal 0.8 as a fraction. ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.7):\nTwo shapes have the same area, and each shape stands f... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.7):\nTara says 0.65 < 0.8. She marks both decimals on a num... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.7):\nFill in the blank with >, = or <: 3.80 ___ 3.8\n\nWhat... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.1):\nThe number 5.372 has a digit 7. Which number below ha... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.1):\nThe digit 2 appears three times in the number 2.202. ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.2):\nEach input is changed into its output by the same rul... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.4):\nIn a 50-meter swim, four swimmers had these times in ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.4):\nA number with two decimal places is rounded to the ne... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.B.7):\nTwo decimals each have exactly one decimal place. The... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.B.7):\nLena has $15.00 to spend on trading card packs. Each ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.B.7):\nLena bought 4 notebooks at $2.35 each and 3 markers a... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.B.7):\nA number line is marked in hundredths. A beetle start... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nRavi wants to know whether 3/5 and 7/9 are equivalent ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nWhich fraction is equivalent to 2/5?\nOptions:\nA. 4/5... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nRavi says that 8/12 is greater than 2/3 because 8 and ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nJonah says, '12/100 is greater than 4/10 because 100 i... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nA shelf has 15 books. 7 of the books are about animals... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nMs. Tran asks the class how to tell, without drawing a... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nFour hiking teams are walking the same trail. The tabl... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nZoe and Hugo have identical loaves of banana bread. Zo... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nRavi says 5/7 is greater than 3/4 because 5 is greater... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nCan 7/20 be written as an equivalent fraction with a d... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nHana and Luis each write a fraction that is equal to 3... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nWhich fractions are equal to 2/10? Choose all that are... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nMr. Ortiz wrote 5/10 = 50/100 on the board. In one or ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nA bean plant grew 4/10 of an inch on Monday and 29/100... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nNia walked 3/4 of the way to her school. Omar walked 2... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nKai and Lia have water bottles that are exactly the sa... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nTwo number lines are the same length and both run from... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nWhat is the greatest whole number that can replace n s... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nMaya and Theo each have a ribbon of the same length. M... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nLena compared 2/5 and 6/10. She wanted a common denomi... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nTariq says that 7/12 is greater than 3/4 because 7 is ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nAdd 5/12 + 3/12. Write your answer in simplest form.\n... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nRavi found 5/8 - 2/8 and wrote the answer 3/0. His tea... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\n1/7 + ___ + 2/7 + 1/7 = 6/7. What fraction goes in the... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.3):\nA baker had 6/7 of a tray of muffins. She sold 2/7 of ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nList the first four multiples of 3/7, starting with 3/... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nEach of 6 kittens eats 3/4 of a can of food. Which exp... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nYusuf has 3 jars that each hold 4/5 pound of beans. He... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.B.4):\nFind 4 x 2 1/7 by using the distributive property. Mul... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nA paper strip is cut into 10 equal parts. The fifth pa... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nFind the missing numerator: ?/10 + 13/100 = 83/100.\n\... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nJamal pours 3/10 liter of orange juice into a pitcher.... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.5):\nAna has a shortcut for adding tenths and hundredths: w... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.6):\nA paper strip is cut into 10 equal parts. Maya colors ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.6):\nLena counts up by tenths and writes this list: 2.7, 2.... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.7):\nTwo 10-by-10 grids are the same size, and each grid st... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.C.7):\nUse >, = or < to compare the two numbers: 6.1 ___ 5.98... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.2):\nWhat is one-hundredth of 72.5?\n\nWhat the student di... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.2):\nSam and Lia both solve 0.0092 x 1,000. Sam gets 0.92.... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.2):\nResult A is 0.58 x 10^7. Result B is 0.58 x 10^3. Res... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.2):\nA game machine changes a number in three steps, in th... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.3):\nWrite each of these values as a decimal, then list th... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.3):\nWrite these decimals in order from least to greatest,... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.3):\nThink of all the numbers that can be written with at ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.4):\nZara says: \"The number 0.45 rounds up to 0.5 because... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.4):\nInes rounded 7.35 to the nearest tenth and wrote 7.3.... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.4):\nA cashier's register shows a customer's total as $31.... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.A.4):\nThe number 3.98 is rounded to the nearest tenth. Two ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.B.7):\nFind the value of (9.6 + 2.4) ÷ 0.4 - 5.5.\n\nWhat th... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.B.7):\nA tower is 9.2 meters tall. A scale model of the towe... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.B.7):\nKai and Lila each find 3.9 x 6. Kai says, 'I did 4 x ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 5.NBT.B.7):\nGabe uses an area model for 4.6 x 2.7. He splits 4.6 ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nTwo garden plots are exactly the same size. Plot A is ... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nTomas multiplies both the numerator and the denominato... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nFind the missing number: 24/42 = 4/?. What number goes... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.1):\nThree students explain why 2/7 = 6/21. Which student e... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nMia and Noah each have a chocolate bar. Mia's bar weig... |
[
{
"role": "system",
"content": "You are a mathematics tutor. A student is working on the question below. Reply to the student directly, as you would in the conversation."
},
{
"role": "user",
"content": "Question (grades 4 and 5; 4.NF.A.2):\nHere are four pairs of fractions. Pair 1: 3/7 and 3/10... |
End of preview. Expand in Data Studio
SENSUS Bench v1
LORM Labs | 28 October 2026
SENSUS teaches and tests one tutoring skill: replying to a learner's written reasoning about fractions and decimals (grades 4 and 5). A good reply credits what the learner did correctly, names the likely error tentatively, explains the idea briefly and ends with a question the learner can answer next.
This repository holds two separate packages:
| Folder | What it is | Use it to |
|---|---|---|
training/ |
SENSUS SFT v1.1: 1,015 synthetic tutoring conversations, the recorded training recipe and step-by-step instructions | fine-tune your own model |
evaluation/ |
SENSUS Bench v1 Evaluation: the 76 evaluation cases, the scripts that generate and grade replies, and every recorded reply and grade | score your model the same way the published results were scored |
No evaluation question appears in the training data. Keep the two apart: a model trained on the evaluation cases would score higher without having learned the skill.
All conversations and cases are synthetic. They contain no individual student records.
Train a model
from datasets import load_dataset
training = load_dataset("Lorm-Labs/sensus-bench-v1", "training", split="train")
print(len(training)) # 1015
print(training[0]["messages"]) # system, user, assistant
Each row has one field, messages: the tutor instruction, the question with
what the learner did and said, and the target tutor reply. The full recipe
(LoRA rank 32, 8 epochs, learning rate 0.0003) and how to reproduce the
recorded runs are in training/TRAINING.md and
training/recipe.json. The dataset card is
training/README.md.
Evaluate a model
from datasets import load_dataset
cases = load_dataset("Lorm-Labs/sensus-bench-v1", "evaluation", split="test")
print(len(cases)) # 76
To score a model, download the evaluation/ folder and run:
python3 sample.py --model <your-model> --out replies.jsonl
python3 grade.py --replies replies.jsonl --out grades.jsonl
grade.py uses two model graders and needs your own API keys. The published
models' replies and both graders' marks are in evaluation/recorded/. Details
are in evaluation/README.md.
Check the files
Each folder has a verify.py that checks every file against its published
fingerprints, offline:
cd training && python3 verify.py
cd evaluation && python3 verify.py
Results and paper
On these 76 cases, Qwen3.8-27B fine-tuned on SENSUS SFT scores 0.825 on average over two training runs, against 0.290 for the same model before training and 0.525 for the highest-scoring general-purpose model tested. The method, results and limits are in the technical report, Teaching Models to Read and Respond to a Learner's Reasoning: https://lorm.ai/paper.html
License
The data in both folders is released under the Creative Commons Attribution 4.0
International License (CC BY 4.0); see training/LICENSE and
evaluation/LICENSE. The scripts in both folders are released under the MIT License;
see training/LICENSE-CODE and evaluation/LICENSE-CODE.
Citation
@misc{lorm2026sensussft,
title = {{SENSUS SFT}: Synthetic Tutoring Conversations for Supervised Fine-Tuning},
author = {{LORM Labs}},
year = {2026},
version = {1.1},
howpublished = {\url{https://lorm.ai/datasets.html}},
note = {Dataset released under CC BY 4.0}
}
The evaluation kit's citation is in evaluation/README.md.
Contact
Use the contact form at https://lorm.ai/contact.html
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