Exercise_A
stringlengths
8
63
Exercise_B
stringlengths
6
63
Similarity_avg
float64
1
9
Similarity_raw
stringlengths
9
29
Difficulty_avg
float64
1
8.45
Difficulty_raw
stringlengths
9
29
Prerequisite_avg
float64
1.17
8.8
Prerequisite_raw
stringlengths
9
29
metric_area_unit_comparison
ordering_negative_numbers
2.5
4_1_2_5_1_2
4
4_3_3_8_4_2
1.833333
3_1_1_2_1_3
metric_area_unit_comparison
rounding_numbers
2.166667
4_1_1_1_1_5
2.5
2_3_3_1_3_3
2.5
4_1_1_1_1_7
area_of_triangles_1
volume_of_rectangular_boxes
4.727273
3_4_7_7_3_3_4_8_3_7_3
5
2_7_3_7_4_1_6_7_6_6_6
3.818182
2_3_8_3_4_3_5_2_4_7_1
area_of_triangles_1
recognizing_rays_lines_and_line_segments
2
3_2_6_2_1_1_1_1_1_3_1
1.636364
2_2_2_2_1_1_1_1_1_4_1
2.363636
3_3_7_1_1_1_1_1_4_3_1
area_of_triangles_1
properties_of_numbers_1
1.909091
2_2_5_1_1_1_1_2_1_3_2
3.181818
6_2_1_4_6_1_1_2_1_6_5
2.909091
2_7_8_1_1_1_1_3_3_4_1
area_of_triangles_1
area_of_squares_and_rectangles
5.727273
3_4_7_8_4_3_5_7_8_7_7
3
1_2_2_5_4_1_3_1_5_5_4
6.818182
4_7_8_9_7_6_8_3_8_7_8
area_of_triangles_1
area_1
6.272727
4_6_8_8_6_4_5_6_9_6_7
2.727273
1_2_1_5_3_1_3_2_5_3_4
6.545455
6_7_9_9_7_1_8_2_8_7_8
arithmetic_word_problems_2
arithmetic_word_problems_1
3.111111
2_3_1_1_3_7_4_3_4
2.222222
2_3_1_2_4_3_2_1_2
5.111111
3_5_6_2_4_7_6_8_5
arithmetic_word_problems_2
arithmetic_word_problems
7.555556
7_9_9_8_8_6_5_8_8
6.777778
8_5_7_9_8_6_3_8_7
4.444444
4_9_3_2_7_3_6_2_4
arithmetic_word_problems_2
multiplication_1.5
7
9_3_9_9_9_5_5_7_7
4.333333
5_4_5_3_5_3_5_3_6
5.555556
6_4_3_8_8_7_4_6_4
arithmetic_word_problems_2
multiplication_2
7.444444
9_6_9_7_9_6_7_7_7
4.777778
5_4_5_7_5_3_5_5_4
5.888889
7_4_4_5_8_7_4_6_8
arithmetic_word_problems_2
division_1.5
6.777778
7_6_7_4_8_7_5_9_8
4
1_1_5_7_5_3_5_5_4
5.555556
5_4_4_3_8_7_5_6_8
divisibility_tests
divisibility_intuition
5.636364
4_6_6_7_6_4_1_6_8_6_8
3.727273
6_4_1_2_6_4_2_5_5_3_3
6.636364
6_5_7_7_5_6_8_5_9_7_8
divisibility_tests
divisibility_0.5
6.545455
7_7_9_7_7_5_2_8_9_3_8
4.909091
3_3_5_3_5_4_9_7_6_6_3
6
7_6_8_7_6_6_1_7_5_6_7
divisibility_tests
division_2
5.636364
6_9_6_7_8_5_1_8_2_3_7
3.909091
3_2_2_2_1_5_9_5_8_2_4
5.909091
7_8_4_7_7_5_1_9_2_7_8
divisibility_tests
composite_numbers
4.727273
6_7_1_6_2_6_2_4_8_3_7
4.727273
3_3_2_5_4_5_7_6_7_7_3
4.909091
7_6_1_5_3_5_3_6_3_6_9
divisibility_tests
prime_numbers
5
7_7_1_6_2_5_2_6_9_3_7
4.545455
6_3_1_3_4_5_7_5_6_6_4
4.818182
7_6_1_6_3_6_3_6_4_4_7
one_step_inequalities
linear_equations_1
7.25
7_8_7_8_7_8_5_8
3.375
3_4_4_2_4_4_2_4
7.125
5_9_6_7_8_9_5_8
one_step_inequalities
square_roots_2
2.625
3_1_1_1_6_1_6_2
5.125
5_7_4_2_7_7_3_6
2.5
2_1_1_1_3_1_6_5
one_step_inequalities
linear_inequalities
8.125
8_7_9_9_8_8_8_8
6.375
5_6_6_9_6_6_7_6
5.375
8_5_7_3_4_6_8_2
one_step_inequalities
compound_inequalities
7.375
6_7_8_8_8_6_7_9
7.5
7_7_8_9_7_8_7_7
3.125
3_3_3_1_3_3_6_3
one_step_inequalities
exploring_angle_pairs_1
1.25
2_1_1_1_2_1_1_1
3.25
4_6_4_1_4_2_3_2
1.625
3_1_1_1_3_1_1_2
one_step_inequalities
inequalities_on_a_number_line
5.5
3_3_7_8_7_2_7_7
3.75
5_4_3_2_5_3_4_4
5.5
3_3_6_9_8_1_7_7
telling_time_2
arithmetic_word_problems_1
2
6_1_1_1_1_1_1_3_3_2
3.9
4_4_6_1_3_4_7_2_2_6
3
6_1_1_3_2_1_2_6_7_1
telling_time_2
telling_time
7.8
6_9_9_9_8_8_9_5_6_9
4.3
4_3_5_2_3_5_9_5_3_4
7
6_9_9_8_8_9_1_5_6_9
telling_time_2
time_terminology
4.8
4_1_7_7_6_5_6_4_2_6
2.8
5_4_5_1_3_4_1_2_1_2
6.4
6_5_5_9_5_5_9_6_8_6
telling_time_2
time_word_problem_1
5.9
6_2_5_6_6_6_8_4_8_8
6.4
3_6_7_7_7_7_9_5_5_8
4
7_2_2_4_4_5_1_6_7_2
telling_time_2
telling_time_0.5
7.8
6_9_9_9_7_8_9_5_7_9
4.2
5_4_5_1_3_5_8_5_2_4
7
5_9_9_9_6_9_2_5_7_9
adding_decimals_0.5
adding_decimals
8.25
9_8_9_9_5_9_9_8
5
5_5_4_6_4_5_5_6
6.5
9_5_9_4_8_9_5_3
adding_decimals_0.5
addition_4
6.25
6_8_7_6_7_2_8_6
5.5
6_5_4_5_4_9_7_4
4.5
5_5_6_7_4_3_3_3
adding_decimals_0.5
decimals_on_the_number_line_1
3.875
3_4_3_3_6_1_5_6
2
3_3_2_3_2_1_1_1
4.875
6_7_2_7_3_2_9_3
adding_decimals_0.5
decimals_on_the_number_line_2
4.125
3_4_2_6_6_1_6_5
2.625
3_4_2_2_2_1_4_3
4.75
6_6_3_8_3_1_6_5
permutations_1
linear_equations_1
2
1_2_1_1_2_1_1_7_2_2
2.6
4_2_1_6_2_1_1_1_4_4
3.6
2_7_1_1_8_1_1_4_6_5
permutations_1
counting_1
3.4
1_8_1_2_7_2_2_7_3_1
2.6
3_3_2_1_5_2_1_3_5_1
3.6
3_7_1_2_7_2_2_7_3_2
permutations_1
counting_2
5.3
3_7_7_6_3_7_7_7_3_3
4.4
3_7_6_5_2_3_5_6_5_2
5.5
3_3_6_6_7_6_8_6_4_6
permutations_1
graphing_systems_of_equations
1.9
2_2_1_1_3_1_1_3_1_4
5.3
2_2_5_9_8_3_9_6_6_3
2.5
3_7_1_1_3_2_1_2_3_2
permutations_1
recognizing_fractions
2.2
3_2_1_1_2_1_1_3_6_2
1.3
3_1_1_1_1_1_1_2_1_1
3.6
3_8_1_1_8_1_1_6_6_1
permutations_1
arithmetic_sequences_3
3.2
6_2_1_2_6_1_1_7_1_5
5.6
3_7_7_8_5_2_9_4_7_4
3.6
6_3_1_1_7_3_1_6_2_6
solutions_to_systems_of_equations
systems_of_equations_with_elimination_0.5
6.3
6_3_7_9_7_6_9_5_3_8
3.6
4_4_3_1_6_2_4_5_3_4
6.8
6_4_6_9_7_7_7_5_8_9
solutions_to_systems_of_equations
systems_of_equations_with_substitution
6.6
6_2_9_9_7_9_8_5_3_8
4.2
4_4_5_3_6_5_1_5_4_5
7.1
6_4_9_9_5_9_9_5_7_8
solutions_to_systems_of_equations
graphing_systems_of_equations
6.7
4_2_8_9_8_8_7_5_8_8
5.3
3_5_5_3_6_5_9_5_6_6
5.5
7_2_9_8_6_9_1_5_3_5
solutions_to_systems_of_equations
graphing_linear_equations
4.4
4_1_4_4_7_4_2_4_7_7
4.6
5_2_2_1_6_6_8_6_5_5
4.8
5_1_3_9_5_5_2_6_7_5
perimeter_of_squares_and_rectangles
linear_equations_4
2.25
3_3_1_3_1_1_5_1
7.5
9_4_9_7_7_9_6_9
1.875
1_3_1_3_1_1_3_2
perimeter_of_squares_and_rectangles
perimeter_1
7.75
7_7_7_7_8_9_9_8
5
5_5_5_5_5_5_5_5
7.5
7_6_8_5_8_9_9_8
perimeter_of_squares_and_rectangles
properties_of_numbers_1
2.75
5_3_1_3_1_1_6_2
5.125
6_6_5_2_6_4_5_7
3
3_3_1_8_1_1_5_2
perimeter_of_squares_and_rectangles
perimeter_deduction
7.125
7_6_8_6_7_7_9_7
5.375
5_5_5_5_6_5_6_6
6.5
7_6_9_5_7_8_6_4
perimeter_of_squares_and_rectangles
radius_and_diameter
4
4_4_5_3_3_4_6_3
4
1_5_5_2_6_3_5_5
5.375
3_6_6_8_4_6_6_4
perimeter_of_squares_and_rectangles
parts_of_circles
2.75
6_3_1_1_1_1_7_2
3.5
5_5_2_2_5_3_4_2
4.375
7_5_1_8_1_1_9_3
perimeter_of_squares_and_rectangles
order_of_operations
3.875
4_6_2_3_1_1_8_6
5.875
7_5_7_2_7_7_4_8
3.5
2_6_1_8_1_1_8_1
radical_equations
simplifying_radicals
6
5_6_6_4_7_7_7
2.285714
1_2_3_2_1_4_3
5.714286
4_8_4_5_5_7_7
radical_equations
adding_and_subtracting_radicals
6.857143
7_7_7_4_9_7_7
3
1_2_4_2_4_4_4
6.571429
6_7_4_7_6_7_9
radical_equations
square_roots_2
5.857143
7_4_6_3_7_7_7
3.285714
1_8_2_5_1_3_3
5.142857
5_4_3_5_6_6_7
radical_equations
square_roots
6.571429
8_7_6_5_6_7_7
1.857143
1_1_4_1_1_3_2
5.571429
6_7_4_4_4_6_8
multiplying_mixed_numbers_1
dividing_fractions
7.076923
8_6_8_8_8_7_4_6_7_8_8_6_8
5.307692
2_6_6_5_5_6_4_4_5_7_5_7_7
5.846154
7_6_7_7_8_7_3_7_5_4_5_6_4
multiplying_mixed_numbers_1
simplifying_fractions
6.769231
6_6_8_9_9_7_8_2_5_8_7_6_7
2.846154
1_2_5_1_2_2_5_2_6_3_2_4_2
6.307692
6_7_7_8_8_7_7_3_7_3_8_5_6
multiplying_mixed_numbers_1
multiplying_fractions
7.538462
8_8_8_9_9_4_8_8_7_7_7_7_8
3.076923
2_3_3_1_5_4_3_2_5_1_3_5_3
7.538462
8_8_9_6_9_6_8_8_5_8_7_7_9
multiplying_mixed_numbers_1
multiplying_fractions_word_problems
7.076923
7_6_8_7_9_6_8_6_6_8_6_7_8
3.923077
2_4_4_1_4_3_6_3_2_7_4_6_5
5.461538
7_3_7_5_9_6_3_6_7_2_4_7_5
angle_bisector_theorem
triangle_angles_sum
3.3
6_1_2_3_3_2_2_3_3_8
1.4
2_1_1_1_1_1_1_2_1_3
5.8
7_4_3_7_5_1_6_8_8_9
angle_bisector_theorem
chain_rule_1
1.4
4_1_1_1_1_1_1_2_1_1
7.8
7_8_8_9_5_7_9_8_8_9
1.5
3_1_1_2_1_1_1_2_2_1
angle_bisector_theorem
triangle_inequality_theorem
2.8
6_1_2_3_1_3_1_4_2_5
3.6
4_3_2_8_1_4_1_5_3_5
4.4
6_2_1_3_3_5_6_5_8_5
angle_bisector_theorem
triangle_angles_1
4.6
7_2_5_5_3_2_5_2_7_8
2.1
3_2_1_2_5_1_1_2_2_2
6
7_2_3_6_8_2_7_8_9_8
logarithms_2
logarithms_1
5.615385
6_7_5_3_9_8_5_2_2_4_7_8_7
4.769231
2_1_6_6_5_5_4_8_7_5_3_6_4
6.307692
7_7_5_7_9_6_6_2_6_5_7_7_8
logarithms_2
exponents_3
4.153846
4_1_4_2_3_6_4_2_6_5_4_6_7
5.615385
4_7_4_7_5_3_8_8_5_6_6_6_4
4.153846
6_2_7_2_3_4_3_2_7_4_3_5_6
logarithms_2
exponents_1
3.615385
4_1_3_1_3_3_1_2_5_5_6_6_7
3.307692
2_1_5_2_5_1_1_2_5_3_8_5_3
3.846154
7_1_5_1_4_1_3_2_5_7_6_5_3
converting_decimals_to_fractions_1
time_units_transformation_2
3.375
4_1_1_5_2_1_6_7
4.5
3_6_2_2_6_5_5_7
3.125
4_1_1_5_3_1_6_4
converting_decimals_to_fractions_1
recognizing_fractions_0.5
6.5
3_6_7_7_7_5_9_8
3
1_4_1_3_5_2_6_2
6.875
6_6_8_7_7_6_7_8
converting_decimals_to_fractions_1
systems_of_equations_with_elimination
2
3_1_1_1_2_1_6_1
7.5
6_8_9_8_8_9_5_7
2.125
3_1_1_1_2_1_6_2
converting_decimals_to_fractions_1
adding_and_subtracting_fractions
4.25
4_1_5_3_5_3_8_5
5.875
1_6_9_3_7_8_5_8
3
4_1_3_2_3_2_7_2
converting_decimals_to_fractions_1
converting_decimals_to_fractions_2
8.125
6_9_8_9_8_7_9_9
6.375
6_6_5_8_6_7_7_6
5.875
5_7_8_3_6_5_6_7
converting_decimals_to_fractions_1
evaluating_expressions_1
2.125
3_1_1_2_2_1_6_1
5.75
5_6_5_6_6_6_5_7
2.375
2_1_1_2_3_1_6_3
converting_decimals_to_fractions_1
converting_fractions_to_decimals
7.625
7_8_7_9_8_6_9_7
6
4_5_8_5_5_7_8_6
6.875
4_9_7_9_9_6_4_7
converting_decimals_to_fractions_2
converting_fractions_to_decimals
6
7_9_4_7_8_4_5_6_5_4_4_6_7_8
4.714286
5_2_4_6_4_6_7_5_3_3_5_5_6_5
6.071429
6_8_7_7_7_5_5_6_6_5_5_5_7_6
converting_decimals_to_fractions_2
converting_decimals_to_fractions_1
8.142857
7_9_9_9_8_9_9_7_7_9_7_8_8_8
3.571429
5_2_5_1_3_5_2_5_4_1_5_3_5_4
7.714286
7_9_9_9_7_9_9_7_8_7_6_7_7_7
converting_decimals_to_fractions_2
division_3
4
4_1_2_7_6_3_1_5_4_4_4_7_4_4
4.142857
1_2_2_3_4_7_6_6_3_4_7_4_7_2
4
3_1_2_7_7_2_2_5_6_5_3_6_5_2
converting_decimals_to_fractions_2
converting_decimals_to_percents
6.857143
8_7_7_9_8_9_4_6_4_6_8_6_7_7
3.214286
5_1_4_1_5_5_1_6_4_1_2_3_3_4
5.928571
6_7_8_3_8_7_3_6_4_6_6_4_7_8
similar_triangles_review
solving_similar_triangles_2
5.909091
5_8_7_6_7_6_5_3_5_7_6
7.181818
5_1_9_8_9_4_9_8_9_8_9
3.636364
5_8_7_2_4_4_2_3_2_2_1
similar_triangles_review
similar_triangles_2
7.545455
7_7_9_7_9_6_5_9_8_8_8
4.727273
5_3_5_5_5_5_7_5_6_1_5
6.727273
6_5_9_7_9_6_3_6_6_8_9
similar_triangles_review
similar_triangles_1
8.090909
7_7_9_7_9_7_7_9_9_9_9
4.818182
5_3_5_5_5_5_5_5_5_5_5
7.636364
7_7_9_7_9_6_6_8_9_7_9
similar_triangles_review
solving_similar_triangles_1
7
8_7_6_6_8_6_4_9_7_8_8
4.636364
6_3_1_3_7_5_2_5_7_3_9
6
6_6_8_6_4_5_7_8_8_7_1
conditional_statements_2
telling_time_0.5
1.555556
1_1_1_1_1_3_2_3_1
2.111111
2_1_1_2_1_2_3_6_1
2.333333
1_1_2_2_1_8_2_3_1
division_1.4
division_0.9
7.909091
9_7_9_6_9_5_8_8_9_8_9
4.181818
5_1_4_3_5_5_5_5_5_5_3
7.363636
9_7_6_7_9_5_9_5_8_8_8
division_1.4
division_0.5
8.272727
9_8_9_9_9_5_8_9_9_8_8
4.545455
5_2_5_5_5_5_5_5_5_5_3
7.363636
9_8_5_8_9_5_9_5_8_8_7
division_1.4
arithmetic_word_problems_2
6.181818
9_2_4_3_7_7_8_7_7_7_7
5.636364
6_7_7_3_5_5_5_4_7_6_7
4.909091
7_2_1_7_6_5_9_6_3_4_4
division_1.4
division_1
7.727273
9_8_9_7_9_5_9_8_5_7_9
4.181818
5_1_5_4_5_5_5_4_5_3_4
7.454545
9_9_5_8_9_5_9_6_7_7_8
compound_inequalities
one_step_inequalities
7.416667
7_7_8_9_9_8_7_6_5_6_8_9
2.916667
2_1_4_4_1_2_2_6_3_3_4_3
7.083333
7_7_8_8_7_7_7_5_6_7_7_9
compound_inequalities
new_definitions_1
2.25
2_1_1_1_1_2_7_2_2_3_2_3
6
6_3_3_4_8_5_8_7_6_8_5_9
2.416667
3_1_1_1_1_3_3_7_3_2_3_1
compound_inequalities
linear_inequalities
7.583333
7_9_8_9_8_8_8_6_5_7_7_9
3.666667
2_3_4_3_2_3_3_5_4_6_5_4
7.333333
7_8_8_9_7_9_8_6_6_4_7_9
compound_inequalities
inequalities_on_a_number_line
5.5
7_7_6_6_7_5_4_2_3_4_7_8
2.75
2_1_3_3_1_1_2_6_2_3_5_4
5.416667
7_5_7_8_6_5_3_3_4_3_6_8
absolute_values_meaning
number_line_2
3.846154
4_1_8_3_5_6_1_3_6_4_4_2_3
2.769231
4_1_2_5_2_3_2_4_4_3_3_2_1
4.230769
4_1_7_4_7_7_1_4_6_4_6_3_1
absolute_values_meaning
adding_negative_numbers
3.307692
3_1_7_3_2_2_2_3_2_6_4_2_6
3.153846
3_1_7_5_1_3_1_1_5_3_3_5_3
3.923077
4_1_7_3_9_6_2_3_5_3_3_2_3
absolute_values_meaning
absolute_value_add_sub
6.923077
6_8_7_6_5_8_8_6_9_7_7_5_8
6.692308
6_6_9_6_5_4_8_7_9_7_7_6_7
4.538462
4_7_3_4_5_8_6_7_1_6_2_3_3
absolute_values_meaning
multiplying_and_dividing_negative_numbers
3.076923
5_1_7_5_3_2_2_1_1_4_6_2_1
4.615385
5_1_8_6_3_6_1_5_7_5_7_3_3
3.153846
4_2_7_6_4_2_2_2_4_2_3_2_1
absolute_values_meaning
adding_and_subtracting_negative_numbers
3.461538
4_2_8_3_2_3_3_2_1_6_4_3_4
3.615385
4_2_9_4_1_4_3_1_5_3_3_5_3
4.846154
5_7_8_4_9_6_2_3_5_5_3_2_4
area_of_a_circle
area_of_squares_and_rectangles
5.333333
6_5_6_7_6_2_6_2_8
2.111111
2_2_1_1_1_2_4_2_4
6.555556
6_8_8_7_7_5_6_3_9
area_of_a_circle
recognizing_fractions_0.5
2
3_2_4_1_2_1_1_1_3
2.444444
1_2_3_3_1_8_2_1_1
3
3_8_4_3_4_1_1_1_2
area_of_a_circle
recognizing_rays_lines_and_line_segments
1.111111
1_2_1_1_1_1_1_1_1
1.333333
1_1_1_4_1_1_1_1_1
2.444444
1_8_1_3_3_1_1_1_3
area_of_a_circle
ratio_word_problems
1.777778
4_2_1_1_2_1_1_1_3
5.666667
1_8_5_5_6_7_6_7_6
3
4_8_5_1_3_1_1_1_3
area_of_a_circle
completing_the_square_1
1.777778
2_2_4_1_2_1_1_1_2
7.111111
5_8_6_8_8_8_6_8_7
1.777778
2_2_5_1_1_1_1_1_2
area_of_a_circle
surface_area_of_rectangular_boxes
5.111111
6_5_6_6_4_3_6_2_8
4.444444
3_2_6_3_3_7_6_3_7
5.333333
6_9_5_7_6_3_6_4_2
area_of_a_circle
area_1
5.444444
6_5_6_7_4_5_6_2_8
2.555556
3_2_3_1_1_4_4_2_3
6.222222
6_8_6_6_8_7_6_3_6