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
counting_2
counting_1
6.636364
8_6_5_8_4_6_9_8_4_6_9
3.363636
3_2_1_2_3_1_6_5_6_4_4
5.636364
6_7_3_8_6_5_4_6_3_5_9
counting_2
arithmetic_sequences_3
5.545455
7_6_7_3_3_1_8_7_7_4_8
6.272727
4_7_6_8_5_9_8_7_5_3_7
3.272727
4_2_5_2_3_1_2_5_6_4_2
counting_2
adding_and_subtracting_fractions
2.909091
1_6_1_2_1_1_2_6_7_1_4
4.090909
4_6_2_2_6_3_7_2_3_2_8
2.909091
1_4_1_2_1_1_3_7_8_3_1
counting_2
exponents_1
1.727273
1_6_1_2_1_1_1_3_1_1_1
3
2_5_1_1_1_1_7_2_2_2_9
3.090909
1_5_1_2_2_1_3_7_7_3_2
adding_subtracting_mixed_numbers_1
subtracting_fractions
7.769231
9_9_6_7_8_9_8_7_8_6_8_8_8
3.076923
3_3_4_6_3_5_1_1_5_3_2_2_2
7.769231
9_9_6_5_8_9_9_9_7_7_8_8_7
adding_subtracting_mixed_numbers_1
adding_subtracting_mixed_numbers_0.5
8.230769
9_9_8_8_9_9_9_9_8_6_8_7_8
3.923077
4_2_4_5_4_5_2_5_5_2_2_7_4
8
8_9_6_7_9_9_8_9_6_8_8_8_9
adding_subtracting_mixed_numbers_1
adding_and_subtracting_fractions
7.461538
7_8_7_7_8_8_4_9_7_7_9_8_8
3.076923
3_4_3_3_3_4_1_3_5_2_2_3_4
7.846154
7_9_7_7_8_9_9_9_6_6_8_8_9
volume_box_cover
volume_box_nocover
8
8_9_7_8_6_9_9_8_8_8_8
4.636364
5_3_5_4_6_2_5_2_5_5_9
7
4_9_9_9_4_9_8_9_8_7_1
volume_box_cover
volume_box
7.727273
8_9_6_8_7_9_7_8_7_8_8
4.090909
5_3_5_4_5_3_3_3_4_5_5
7.727273
6_9_9_9_6_9_7_7_7_7_9
volume_box_cover
area_of_squares_and_rectangles
6
8_6_7_4_6_5_7_9_6_5_3
2.545455
2_1_5_3_7_1_2_1_2_3_1
6.090909
8_6_8_6_7_2_9_7_6_6_2
volume_box_cover
volume_container
6.909091
7_6_8_8_7_7_3_9_8_5_8
4.181818
2_1_5_6_5_4_4_4_5_5_5
6.272727
7_5_2_7_6_8_4_8_7_6_9
equivalent_fractions_2
simplifying_fractions
7.5
7_8_7_6_8_8_8_9_7_7
4.4
4_7_7_2_3_5_2_4_6_4
7.7
8_9_8_5_7_8_7_9_7_9
equivalent_fractions_2
equivalent_fractions
8.7
8_9_8_9_8_9_9_9_9_9
4.8
4_5_2_5_7_5_5_5_5_5
8.8
8_9_9_9_9_9_9_9_8_9
equivalent_fractions_2
division_1.5
4.5
5_3_6_6_4_1_4_7_4_5
4.3
3_9_3_3_5_4_5_2_5_4
4.9
7_7_7_3_5_1_4_7_3_5
equivalent_fractions_2
recognizing_fractions_0.5
6.4
5_9_7_5_6_6_5_7_7_7
2.4
3_1_8_1_3_1_2_1_3_1
5.9
7_8_8_3_7_6_4_4_6_6
cube_roots
exponents_2
5.846154
8_7_4_8_4_3_4_9_8_7_4_4_6
5.769231
7_5_8_2_4_7_8_6_8_8_2_5_5
4.153846
6_4_2_8_6_3_2_3_2_2_7_5_4
cube_roots
exponents_3
6.384615
7_6_4_7_7_6_4_9_6_8_4_8_7
7.076923
8_6_8_9_7_7_7_7_8_5_6_7_7
3.307692
6_4_2_2_4_3_2_3_2_4_3_7_1
cube_roots
exponents_1
4.461538
2_8_3_8_3_3_5_1_6_4_4_5_6
2.615385
2_5_2_1_2_2_5_1_2_3_2_2_5
5.076923
3_6_2_8_7_3_6_4_8_4_8_6_1
cube_roots
square_roots
6.692308
8_8_7_7_6_6_8_1_7_8_4_9_8
2.769231
3_5_2_1_2_3_5_1_1_2_2_5_4
8.076923
6_8_8_9_7_6_9_9_9_8_8_9_9
multiplying_fractions_0.5
converting_mixed_numbers_and_improper_fractions
4.375
5_4_1_3_5_4_6_7
4
2_5_7_3_1_5_5_4
5.125
4_3_4_6_5_5_7_7
multiplying_fractions_0.5
greatest_common_divisor
2.875
3_1_2_1_3_1_8_4
6.75
5_8_6_7_8_9_5_6
2.5
3_1_1_1_1_1_9_3
multiplying_fractions_0.5
multiplying_fractions
8.875
8_9_9_9_9_9_9_9
5.5
5_5_5_5_6_5_6_7
7.375
7_9_5_8_9_9_9_3
multiplying_fractions_0.5
dividing_fractions_0.5
7.75
7_7_8_7_8_9_8_8
5.875
5_5_6_6_8_5_5_7
6.125
8_6_8_4_4_9_7_3
multiplying_fractions_0.5
congruent_segments
1.875
4_1_1_1_1_1_4_2
3.125
5_6_1_2_1_3_5_2
2.625
5_1_2_1_1_1_7_3
multiplying_fractions_0.5
fractions_on_the_number_line_1
3.5
3_2_4_2_4_1_6_6
1.5
1_1_1_2_1_1_3_2
3.875
4_1_4_3_4_2_7_6
multiplying_fractions_0.5
simplifying_fractions
5.25
7_3_6_7_5_1_8_5
3.125
4_2_4_4_1_2_5_3
6.25
7_2_9_7_6_3_9_7
perimeter_1
perimeter_of_squares_and_rectangles
7.833333
7_9_7_8_8_8
5.166667
5_5_5_5_6_5
8.166667
6_9_8_9_9_8
perimeter_1
recognizing_fractions_0.5
1.666667
1_1_1_1_4_2
3.166667
4_2_4_4_4_1
1.666667
2_1_1_1_3_2
perimeter_1
distributive_property
2
2_1_1_1_3_4
4.833333
1_3_7_4_7_7
1.833333
2_1_1_1_2_4
perimeter_1
comparing_fractions_1
1
1_1_1_1_1_1
5.833333
2_9_6_6_6_6
1.333333
1_1_1_1_2_2
perimeter_1
perimeter_deduction
8
7_7_9_8_9_8
5.166667
5_5_5_5_6_5
8.166667
7_8_9_9_8_8
perimeter_1
order_of_operations
1.833333
1_1_1_1_4_3
7.5
7_8_8_8_7_7
2
2_1_1_1_4_3
perimeter_1
domain_and_range_0.5
1.333333
2_1_1_1_2_1
8.333333
8_9_7_9_8_9
1.5
1_1_1_1_3_2
quadrilateral_angles
triangle_types
4.444444
4_7_3_3_1_6_2_8_6
2.555556
3_7_1_1_3_1_1_3_3
4.222222
6_6_2_2_1_7_1_7_6
quadrilateral_angles
quadrilateral_types
6
5_7_6_7_7_6_3_6_7
3.777778
4_3_1_2_7_6_2_6_3
5.666667
7_6_4_7_4_5_5_5_8
quadrilateral_angles
angles_of_a_polygon
5.444444
7_8_7_6_1_3_4_6_7
4.777778
5_3_1_1_7_7_7_6_6
4.222222
5_6_3_6_1_2_6_5_4
quadrilateral_angles
angles_2
6
7_6_6_5_1_9_7_7_6
6.555556
6_7_7_2_7_8_7_8_7
4.222222
3_7_4_4_2_3_6_6_3
counting_1
dividing_fractions_word_problems
3.444444
7_1_5_6_1_1_1_7_2
6
5_6_2_8_7_7_6_6_7
3.333333
5_1_9_3_1_3_1_4_3
counting_1
number_line_2
3.222222
3_1_2_2_1_9_1_4_6
3.333333
6_1_1_2_6_5_1_3_5
4.888889
5_1_8_6_1_9_1_6_7
counting_1
counting_2
5.222222
5_5_5_7_7_3_2_4_9
6.333333
3_8_2_8_7_7_9_7_6
4.555556
6_3_9_3_4_3_1_3_9
counting_1
exponents_2
1.777778
1_1_2_2_1_1_1_6_1
7.555556
3_9_8_9_7_5_9_9_9
1.444444
2_1_2_1_1_1_1_2_2
counting_1
division_4
4
2_1_5_7_1_7_1_9_3
6.333333
7_9_1_4_7_7_8_7_7
3.444444
2_1_9_4_1_4_1_7_2
counting_1
exponents_1
1.444444
1_1_2_2_1_1_1_3_1
3.777778
1_3_1_6_3_5_2_4_9
2.222222
1_1_8_2_1_1_1_4_1
counting_1
multiplying_and_dividing_negative_numbers
3.888889
6_1_5_7_1_1_1_8_5
4.111111
2_2_1_6_6_5_2_6_7
3.444444
6_1_8_4_1_1_1_6_3
number_line_2
division_0.9
3.25
2_4_6_1_8_1_3_1
4.875
7_6_5_6_1_4_3_7
1.875
2_2_1_1_4_1_2_2
number_line_2
number_line_3
7.5
7_9_9_8_4_8_7_8
5
5_6_5_6_1_5_5_7
4.875
5_5_1_8_4_7_7_2
number_line_2
subtracting_decimals_0.5
4
4_3_4_4_2_2_6_7
5.625
6_6_7_6_1_7_6_6
2.625
4_2_1_3_2_1_4_4
number_line_2
hundred_million_adding_and_subtracting
3.625
7_3_6_1_1_1_4_6
6.875
7_8_9_8_1_9_7_6
2.125
3_2_2_1_1_1_4_3
number_line_2
subtracting_decimals
3.75
4_2_4_6_1_2_5_6
6.375
7_7_9_7_1_8_6_6
2.125
2_2_1_2_1_1_4_4
exponent_rules
exponents_2
6.818182
6_3_7_7_5_5_8_9_9_8_8
5.181818
5_7_8_6_8_4_5_3_1_3_7
5.181818
6_5_2_5_3_7_8_7_4_7_3
exponent_rules
scientific_notation_intuition
3.727273
2_2_2_4_2_6_3_2_7_3_8
3.272727
6_6_2_3_4_2_3_3_1_4_2
4.545455
3_3_4_3_5_7_5_6_4_4_6
exponent_rules
exponents_1
5.545455
6_3_3_7_5_5_6_8_4_6_8
1.909091
1_1_1_2_1_5_3_1_1_2_3
6
6_5_8_3_6_5_6_9_3_6_9
exponent_rules
simplifying_expressions_with_exponents
6.181818
8_5_8_7_1_6_5_6_7_7_8
7.454545
7_9_6_6_9_7_6_9_8_8_7
3.454545
4_6_4_5_1_3_6_1_2_3_3
exponent_rules
exponents_3
6.181818
6_3_4_7_5_6_7_8_9_4_9
6.545455
7_7_8_7_8_2_6_7_8_5_7
4.636364
6_5_2_4_2_8_6_3_8_4_3
converting_decimals_to_percents
percentage_word_problems_2
5.222222
5_5_5_4_1_5_7_7_8
7.888889
8_9_9_6_8_9_8_7_7
2.444444
1_1_4_4_1_1_3_4_3
converting_decimals_to_percents
converting_percents_to_decimals
7.555556
7_9_6_8_8_9_5_7_9
5
5_5_1_5_7_5_7_5_5
7.444444
7_9_6_8_5_9_7_7_9
converting_decimals_to_percents
markup_and_commission_word_problems
6.111111
7_5_3_6_5_8_7_7_7
7.888889
7_8_9_9_6_7_8_8_9
2.333333
2_2_1_2_4_2_2_4_2
converting_decimals_to_percents
converting_decimals_to_fractions_1
7.111111
7_7_4_8_9_8_7_7_7
5.111111
5_4_6_3_6_6_2_8_6
7.222222
7_7_7_8_9_8_8_6_5
converting_decimals_to_percents
converting_decimals_to_fractions_2
6.333333
7_3_6_8_8_5_6_7_7
6.666667
5_7_9_4_9_6_5_8_7
4.444444
6_2_4_8_2_3_8_3_4
measuring_angles
area_of_triangles_1
2.545455
1_3_1_2_4_1_1_6_6_1_2
5.818182
3_6_6_7_6_4_7_7_6_6_6
3.181818
1_4_1_3_4_1_3_4_6_5_3
measuring_angles
congruent_segments
2.272727
1_3_1_3_3_1_1_3_4_2_3
3.636364
4_5_2_3_5_2_7_2_5_2_3
3.454545
1_4_3_5_3_1_3_6_6_2_4
measuring_angles
measuring_segments
2.909091
1_4_2_3_3_1_1_7_5_2_3
3.818182
2_6_4_3_5_3_6_2_5_2_4
3.909091
1_4_4_5_4_2_4_8_4_3_4
measuring_angles
exploring_angle_pairs_1
4.454545
3_6_1_4_7_5_2_7_6_2_6
5.272727
3_6_7_3_5_6_4_5_6_6_7
5
4_5_1_7_8_4_6_6_6_5_3
measuring_angles
recognizing_rays_lines_and_line_segments
2
1_3_1_1_2_1_1_3_5_1_3
2.818182
1_5_3_1_3_2_1_7_3_2_3
4.090909
1_4_2_2_4_2_8_7_6_4_5
triangle_angles_sum
angles_1
5.181818
6_7_5_2_4_5_7_3_6_4_8
5.727273
6_6_8_2_3_5_7_6_7_7_6
4
4_4_4_3_5_3_5_3_3_5_5
triangle_angles_sum
angle_addition_postulate
6.090909
6_7_7_8_3_7_4_8_4_5_8
7.272727
7_7_9_7_9_7_8_6_6_6_8
3.090909
4_3_2_1_1_4_3_4_4_5_3
triangle_angles_sum
triangle_types
5.363636
8_9_6_3_3_6_6_3_6_2_7
4.636364
5_5_5_8_7_2_5_2_7_3_2
5.272727
4_9_7_1_2_7_7_7_3_4_7
triangle_angles_sum
number_line_2
1.454545
1_1_1_2_1_1_1_4_1_2_1
3.454545
5_1_3_2_3_5_2_5_7_3_2
1.909091
1_1_1_2_3_1_1_6_2_1_2
triangle_angles_sum
triangle_angles_1
6.454545
8_6_7_7_6_6_8_3_7_5_8
6.272727
7_7_5_9_6_7_5_6_7_7_3
5.181818
4_3_9_1_4_4_9_4_4_6_9
division_2.9
divisibility_intuition
5
2_2_2_7_8_5_7_8_1_8
5.2
1_2_6_6_6_6_5_5_8_7
4.7
2_8_5_1_7_5_8_7_1_3
division_2.9
radius_diameter_and_circumference
2.3
3_2_1_1_2_1_1_7_1_4
5.7
4_8_3_7_8_6_6_2_7_6
2.7
5_2_6_1_1_1_1_6_1_3
division_2.9
arithmetic_word_problems_1
1.9
3_1_2_1_3_1_1_3_1_3
2.5
4_1_5_1_1_2_6_1_1_3
4.5
5_9_5_1_6_1_4_6_1_7
division_2.9
division_1.5
7.8
5_8_8_8_9_8_8_8_8_8
3
2_2_2_2_3_5_4_2_2_6
7.4
4_8_7_8_9_9_8_8_9_4
division_2.9
graphing_parabolas_0.5
1.5
3_2_1_1_1_1_1_3_1_1
7.8
5_8_7_7_9_9_8_7_9_9
1.8
2_2_5_1_1_1_1_3_1_1
division_2.9
division_2
7.5
5_6_8_7_9_7_8_9_8_8
3.9
2_2_5_2_4_5_4_5_4_6
7.5
6_9_9_8_8_8_8_8_7_4
trigonometry_0.5
distance_formula
2.666667
3_1_3_1_1_6_1_6_2
4.333333
4_6_7_4_1_3_9_4_1
2.777778
2_1_5_1_1_6_1_6_2
trigonometry_0.5
systems_of_equations_with_elimination_0.5
1.444444
2_1_1_1_1_2_1_2_2
4
4_8_1_4_2_4_8_3_2
2.222222
3_1_1_1_1_4_1_2_6
trigonometry_0.5
factoring_difference_of_squares_3
1.888889
4_1_1_1_1_4_1_1_3
5.444444
3_8_9_4_5_5_9_4_2
2.333333
3_1_1_1_1_5_1_2_6
trigonometry_0.5
linear_equations_2
2.111111
2_1_4_1_1_2_1_3_4
3.666667
3_3_4_2_6_5_6_2_2
3.111111
3_1_4_1_1_6_1_4_7
trigonometry_0.5
pythagorean_theorem_1
4.555556
6_1_3_1_7_7_1_7_8
3.666667
1_7_3_4_3_4_8_1_2
3.888889
4_1_5_2_7_5_1_7_3
trigonometry_0.5
degrees_to_radians
2.777778
3_1_2_1_1_4_1_7_5
5.777778
9_6_6_4_7_3_7_4_6
3
4_1_3_1_1_6_1_6_4
trigonometry_0.5
trigonometry_1
8.888889
9_9_9_9_9_9_9_8_9
5.444444
5_5_5_6_5_6_5_6_6
7.333333
9_8_9_8_9_4_9_7_3
triangle_angles_1
graphing_parabolas_1
1.6
2_1_1_1_3
7.2
3_8_9_9_7
1.6
3_1_1_1_2
triangle_angles_1
angle_bisector_theorem
4.4
7_2_3_2_8
7.4
6_8_8_8_7
2.8
4_1_2_3_4
triangle_angles_1
angle_addition_postulate
5.2
7_6_4_2_7
7.8
7_7_9_9_7
2.4
4_3_1_1_3
triangle_angles_1
proportions_2
1.2
1_1_1_1_2
7.2
6_6_9_9_6
1.2
2_1_1_1_1
triangle_angles_1
angles_1
6.2
7_6_6_5_7
5.4
5_7_7_6_2
5.6
9_4_5_4_6
triangle_angles_1
triangle_types
7.2
9_7_7_6_7
4
5_4_5_5_1
7.4
9_8_6_7_7
triangle_angles_1
vertical_angles
5.4
6_6_5_3_7
3.2
3_2_5_1_5
5
7_6_3_4_5
markup_and_commission_word_problems
percentage_word_problems_1
7.1
8_3_8_6_9_9_8_5_7_8
5.1
6_3_5_6_5_5_5_5_7_4
6.3
4_6_6_7_8_5_7_5_7_8
markup_and_commission_word_problems
discount_tax_and_tip_word_problems
7.4
9_3_8_7_9_9_8_5_8_8
4.7
5_2_5_5_5_5_5_5_5_5
6.9
8_6_8_6_9_5_8_5_7_7
markup_and_commission_word_problems
converting_percents_to_decimals
5.4
4_5_7_4_8_6_6_3_5_6
2.1
1_1_4_3_1_1_2_2_5_1
7.4
8_9_8_7_9_8_8_7_6_4
markup_and_commission_word_problems
converting_decimals_to_fractions_2
4.2
3_4_6_2_2_8_4_3_4_6
3.8
7_2_6_3_6_1_4_2_5_2
5.4
4_7_5_4_4_9_6_8_5_2
volume_space
volume_container_hight
6.909091
4_6_6_8_8_9_4_6_8_9_8
5.636364
6_7_1_5_6_6_2_8_7_9_5
5.090909
3_6_5_8_4_7_2_3_8_1_9
volume_space
volume_box
8.636364
8_9_9_8_9_8_9_9_9_9_8
4.909091
5_5_5_5_5_5_5_8_5_1_5
7.818182
7_6_9_4_9_7_9_8_9_9_9
volume_space
surface_area_of_rectangular_boxes
5.181818
4_5_6_4_4_7_3_4_8_9_3
4.272727
3_8_1_1_6_5_7_5_6_1_4
5.636364
5_3_5_6_6_7_5_7_8_9_1
volume_space
area_of_squares_and_rectangles
6.636364
8_7_6_8_6_8_6_6_6_9_3
2.545455
2_8_1_5_2_1_1_3_3_1_1
5.818182
8_7_4_8_6_7_4_7_8_4_1
volume_space
area_1
7
8_8_6_6_6_8_6_8_8_9_4
2.454545
2_6_1_5_3_1_1_3_3_1_1
6.545455
8_8_4_7_7_7_4_8_9_9_1
shaded_areas
areas_of_circles_and_sectors
4.1
3_5_1_7_3_2_8_3_3_6
5.4
5_9_7_3_3_8_3_5_6_5
4.1
5_4_1_6_2_3_8_3_4_5
shaded_areas
circles_and_arcs
2.6
4_3_1_1_2_2_7_1_2_3
5
5_3_7_1_7_8_4_5_5_5
3.2
5_2_1_2_2_1_7_5_6_1