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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
radius_diameter_and_circumference
arithmetic_word_problems_1
1.857143
1_4_1_1_1_1_2_1_1_1_3_1_3_5
2.857143
4_5_1_1_1_1_7_1_1_4_2_5_2_5
3
1_6_1_1_1_3_2_1_9_2_3_2_8_2
radius_diameter_and_circumference
parts_of_circles
6.785714
6_9_6_6_7_8_7_8_8_8_4_6_5_7
2.428571
3_5_1_3_2_1_5_1_1_1_1_2_5_3
7.285714
6_7_7_6_8_8_9_5_9_9_7_7_5_9
radius_diameter_and_circumference
perimeter_of_squares_and_rectangles
3.571429
2_6_4_1_1_2_4_4_7_2_3_4_4_6
2.285714
2_5_1_1_1_1_3_2_1_1_5_2_3_4
5
2_6_5_4_2_8_3_5_9_5_5_3_7_6
vertex_of_a_parabola
solving_quadratics_by_taking_the_square_root
5.923077
6_7_6_7_8_4_5_4_3_6_6_8_7
3.307692
3_3_3_1_2_2_4_4_4_3_5_5_4
5.846154
5_8_7_7_6_2_6_5_6_7_3_7_7
vertex_of_a_parabola
completing_the_square_1
5.692308
7_5_7_8_3_4_5_5_3_6_7_7_7
3.307692
2_3_3_4_2_2_4_4_5_3_4_4_3
5.461538
6_4_6_8_2_2_5_6_5_6_7_7_7
vertex_of_a_parabola
graphing_parabolas_1
6.692308
6_9_7_9_7_8_6_5_4_5_6_7_8
4.846154
6_8_4_1_3_6_4_4_4_5_7_6_5
6.230769
3_6_7_7_8_8_6_6_7_6_3_6_8
vertex_of_a_parabola
addition_2
1.692308
1_1_1_1_1_1_3_2_3_2_2_2_2
1.076923
1_1_1_1_1_1_2_1_1_1_1_1_1
2.692308
2_1_1_5_1_1_4_2_3_9_2_3_1
vertex_of_a_parabola
parabola_intuition_3
5.461538
6_8_8_3_3_7_6_3_3_6_3_7_8
6.307692
7_7_8_7_7_9_4_8_5_5_8_4_3
4.538462
4_7_4_3_2_3_6_3_6_5_2_6_8
triangle_types
triangle_angles_sum
6.727273
7_6_6_5_6_8_7_8_5_9_7
4.545455
5_7_3_5_5_5_1_6_6_1_6
6
7_7_3_4_8_8_4_5_6_9_5
triangle_types
angle_addition_postulate
5.363636
7_7_6_3_1_8_1_4_6_9_7
7
7_7_9_8_7_5_9_8_8_1_8
3.454545
2_6_2_1_2_7_1_3_6_7_1
triangle_types
vertical_angles
4.272727
5_7_2_1_2_7_2_6_2_7_6
3.272727
5_3_7_1_2_5_1_5_2_1_4
4.454545
5_7_6_1_2_6_1_4_3_7_7
triangle_types
representing_numbers
2.272727
2_7_3_1_1_4_1_1_3_1_1
2.454545
3_7_1_6_1_1_1_3_2_1_1
2.181818
2_6_2_1_1_1_1_1_6_2_1
solving_quadratics_by_taking_the_square_root
solving_quadratics_by_factoring
7.222222
8_8_9_8_7_1_8_8_8
5.222222
3_7_5_5_4_9_5_5_4
6.444444
6_1_9_9_7_1_8_9_8
solving_quadratics_by_taking_the_square_root
angle_bisector_theorem
1.444444
1_1_1_1_1_1_1_3_3
5.333333
6_7_4_3_6_9_2_6_5
1.777778
3_1_1_1_1_1_1_2_5
solving_quadratics_by_taking_the_square_root
factoring_polynomials_1
6
4_7_6_2_6_7_6_8_8
5.111111
1_7_7_3_6_9_3_6_4
4.333333
4_1_5_1_7_1_6_7_7
solving_quadratics_by_taking_the_square_root
triangle_angles_sum
1.222222
1_1_2_1_1_1_1_1_2
1.777778
1_1_1_1_4_5_1_1_1
1.222222
1_1_1_1_1_1_1_1_3
solving_quadratics_by_taking_the_square_root
completing_the_square_1
7.444444
6_8_8_9_8_8_6_8_6
4.555556
1_7_6_5_6_5_4_4_3
7
6_1_7_9_8_9_7_8_8
solving_quadratics_by_taking_the_square_root
multiplying_polynomials
5
5_7_7_2_6_1_3_6_8
4
7_2_2_4_4_5_3_4_5
5.555556
3_6_7_2_6_9_2_7_8
solving_quadratics_by_taking_the_square_root
multiplying_expressions_1
5.333333
6_7_7_2_7_1_3_7_8
3.444444
6_1_3_3_4_3_3_4_4
5.777778
4_7_6_2_7_9_2_6_9
identifying_points_2
functions_1
6.4
8_6_6_8_4_8_6_4_8_6
5.9
4_6_7_6_8_6_8_2_5_7
4.7
7_7_5_8_2_4_2_3_6_3
identifying_points_2
graphing_points
7.7
7_8_7_8_9_9_8_8_7_6
3
2_5_1_3_5_5_1_1_3_4
7.2
8_6_4_8_9_9_8_6_7_7
identifying_points_2
interpreting_linear_equations
7.2
7_7_9_8_3_9_7_7_8_7
4.6
2_5_6_5_9_5_5_1_4_4
6.8
8_7_7_8_3_9_5_6_7_8
identifying_points_2
identifying_points_1
8.3
7_7_9_8_9_9_8_8_9_9
3.5
2_5_1_5_5_5_2_1_5_4
8.1
8_6_9_8_9_9_8_8_7_9
identifying_points_2
linear_equations_1
5.1
6_4_6_6_8_3_2_5_4_7
4.6
6_4_3_6_7_4_6_1_5_4
4.4
4_6_6_4_4_3_3_2_4_8
identifying_points_1
graphing_points
8.555556
8_9_9_9_9_8_9_8_8
3.222222
1_1_5_5_3_4_1_5_4
8
8_9_9_9_9_9_9_2_8
identifying_points_1
interpreting_linear_equations
6.111111
8_8_2_8_9_6_7_1_6
7
6_7_9_5_5_6_9_8_8
3.777778
3_4_1_9_7_6_1_1_2
identifying_points_1
slope_of_a_line
4.555556
3_6_2_4_6_5_6_3_6
8
9_9_9_6_8_7_9_7_8
2.333333
2_1_2_4_2_5_1_2_2
identifying_points_1
graphing_points_2
8.333333
7_9_9_9_9_8_9_8_7
4.444444
5_5_5_5_4_5_1_5_5
7.444444
7_7_9_9_8_8_8_4_7
identifying_points_1
linear_equations_1
4.111111
2_5_6_3_6_2_4_3_6
7
6_8_9_7_6_7_5_8_7
3.222222
2_5_2_4_5_2_5_2_2
dividing_decimals_2
dividing_decimals_1
7.571429
9_7_8_8_5_8_8
4.714286
5_4_5_5_5_5_4
6.571429
6_8_3_9_5_7_8
dividing_decimals_2
dividing_decimals
7.428571
8_7_8_7_6_8_8
6.857143
7_7_6_8_6_7_7
3.571429
3_3_4_5_4_3_3
dividing_decimals_2
division_4
6.857143
8_6_7_6_5_8_8
5
4_4_7_8_5_3_4
6.142857
7_7_5_3_5_8_8
dividing_decimals_2
dividing_decimals_0.5
7.285714
8_7_7_6_7_8_8
3.714286
5_3_3_4_5_4_2
5.857143
6_6_6_5_5_7_6
creating_box_and_whisker_plots
average_word_problems
4.272727
3_1_6_5_1_6_3_5_6_3_8
2.818182
4_1_1_4_3_2_3_2_2_3_6
5.272727
4_1_9_6_1_7_4_6_8_7_5
creating_box_and_whisker_plots
mean_median_and_mode
5.454545
7_1_7_6_2_6_3_5_8_6_9
2
1_1_1_4_1_1_2_1_1_5_4
6
6_1_9_6_2_6_5_9_7_6_9
creating_box_and_whisker_plots
order_of_operations
1.363636
1_1_1_2_1_1_2_1_1_1_3
2.818182
4_1_1_5_2_1_3_2_2_4_6
2.272727
1_1_2_3_1_1_6_4_1_1_4
creating_box_and_whisker_plots
exploring_mean_and_median
5.363636
8_2_7_4_1_6_3_7_7_6_8
4.363636
3_7_1_7_5_5_3_5_3_4_5
5.090909
8_3_9_3_1_5_4_5_6_7_5
reading_bar_charts_3
place_value
2
1_3_1_2_1_1_1_6_2
1.666667
1_1_1_2_4_1_1_2_2
3.222222
2_4_1_8_1_1_1_7_4
reading_bar_charts_3
exploring_mean_and_median
5
6_4_3_7_3_8_1_7_6
4.666667
2_3_3_5_6_2_6_8_7
4.555556
6_5_2_5_6_8_1_6_2
reading_bar_charts_3
telling_time_comparing
2.444444
2_5_1_2_1_1_1_7_2
3.444444
7_3_1_2_7_1_1_1_8
3.444444
2_5_1_8_1_1_1_9_3
reading_bar_charts_3
mean_median_and_mode
3.777778
6_3_1_7_7_5_1_2_2
2.555556
4_1_1_5_3_5_1_1_2
4.777778
6_4_1_7_6_7_1_9_2
reading_bar_charts_3
reading_tables_2
6.222222
7_4_6_5_7_8_5_6_8
3.555556
5_4_2_2_4_7_2_1_5
5.777778
7_4_5_7_7_6_5_6_5
reading_bar_charts_3
variance
4.555556
6_4_1_7_2_5_1_8_7
7.111111
2_6_9_5_8_9_9_7_9
2.777778
6_4_1_6_1_1_1_4_1
estimation_with_decimals
rounding_whole_numbers
7.6
9_8_8_8_8_6_8_6_7_8
4
2_2_5_5_2_7_5_4_5_3
7.1
8_8_8_8_8_5_5_6_7_8
estimation_with_decimals
metric_weight_unit_conversion
2.8
1_1_1_1_3_4_4_4_3_6
3.6
1_6_4_1_2_2_6_4_4_6
3.7
1_1_2_2_5_8_5_5_3_5
estimation_with_decimals
rounding_numbers
7.2
2_8_9_9_8_6_9_6_6_9
3.5
2_4_5_5_2_3_5_2_4_3
7.1
9_8_9_8_7_5_6_6_4_9
estimation_with_decimals
metric_area_unit_conversion
2.6
3_1_1_1_2_3_2_4_3_6
4.5
4_6_7_1_2_5_6_4_4_6
3
2_1_2_2_2_5_4_4_3_5
multiplying_fractions_word_problems
multiplying_mixed_numbers_1
6.111111
6_6_4_7_7_4_4_9_8
4.888889
3_7_6_4_5_4_7_4_4
6.444444
6_5_5_7_7_6_5_9_8
multiplying_fractions_word_problems
arithmetic_word_problems_2
6.222222
6_4_7_7_6_4_5_9_8
5
3_5_5_4_5_4_6_7_6
5.444444
6_5_8_6_6_5_6_3_4
multiplying_fractions_word_problems
multiplying_fractions
7.444444
8_7_9_7_7_6_5_9_9
4.111111
3_4_5_3_6_4_5_3_4
7.666667
8_7_9_7_7_7_6_9_9
multiplying_fractions_word_problems
multiplying_fractions_0.5
7.555556
9_6_9_7_9_6_5_9_8
3
3_2_5_2_4_3_4_1_3
7.777778
7_7_9_6_9_8_6_9_9
multiplying_fractions_word_problems
simplifying_fractions
5.444444
5_5_6_2_7_6_3_8_7
1.888889
1_1_1_2_3_2_2_1_4
6.111111
4_6_6_2_7_8_6_9_7
multiplying_fractions_word_problems
congruent_angles
1.222222
2_1_1_1_1_2_1_1_1
3.111111
1_5_1_6_2_3_3_4_3
1.444444
2_1_1_1_1_2_1_2_2
volume_container
volume_box_cover
7
6_5_9_7_5_8_9
6.285714
3_8_7_4_8_9_5
5.857143
5_3_9_8_6_1_9
volume_container
volume_box
8
8_7_9_8_6_9_9
5.285714
4_5_7_4_5_7_5
7.285714
9_8_7_9_8_1_9
volume_container
area_of_squares_and_rectangles
5.714286
6_4_7_6_3_8_6
1.571429
2_1_1_2_2_1_2
5.571429
6_5_7_3_5_9_4
volume_container
same_side_exterior_angles_2
1.428571
3_1_1_1_1_2_1
5.285714
2_7_6_6_7_7_2
2.142857
3_1_2_1_1_5_2
volume_container
area_of_triangles_1
3.571429
4_1_7_1_1_7_4
2.428571
2_2_1_3_1_5_3
4
5_1_8_1_1_8_4
volume_container
volume_space
7.714286
6_7_9_8_6_9_9
5.571429
6_5_7_4_5_7_5
6.714286
4_8_7_9_8_2_9
systems_of_equations_with_substitution
solutions_to_systems_of_equations
8.555556
9_8_9_9_8_8_8_9_9
5.333333
5_5_5_5_5_6_7_5_5
7.333333
8_7_9_9_8_4_7_9_5
systems_of_equations_with_substitution
graphing_systems_of_equations
6.444444
6_6_4_9_2_8_7_9_7
6.111111
6_5_5_8_4_7_6_7_7
5
4_6_6_9_2_3_8_3_4
systems_of_equations_with_substitution
systems_of_equations_word_problems
7.222222
7_4_8_7_7_8_6_9_9
7.333333
7_6_7_8_8_7_8_9_6
4.333333
4_4_5_9_2_3_5_3_4
systems_of_equations_with_substitution
similar_triangles_review
1.333333
1_3_1_1_1_1_1_2_1
3.333333
1_4_4_6_6_2_1_5_1
2.444444
2_2_1_2_1_1_1_9_3
systems_of_equations_with_substitution
exponents_1
1.666667
1_3_1_2_1_1_1_3_2
3.333333
1_6_1_6_2_7_1_5_1
1.777778
2_3_1_2_1_1_1_2_3
systems_of_equations_with_substitution
systems_of_equations
8.333333
9_8_7_9_9_9_8_8_8
4.666667
5_5_5_5_5_2_5_5_5
8.222222
9_8_9_9_9_8_9_9_4
systems_of_equations_with_substitution
graphing_linear_equations
4.777778
2_6_3_6_1_7_3_8_7
5.111111
6_5_2_8_2_7_2_7_7
4.111111
3_4_2_8_1_3_5_8_3
finding_axis_of_symmetry
logical_arguments_deductive_reasoning
2.090909
1_3_1_1_1_1_1_2_6_5_1
5.818182
6_7_7_7_7_3_2_7_6_5_7
3.181818
1_3_1_1_3_1_6_4_8_5_2
finding_axis_of_symmetry
axis_of_symmetry
8.454545
9_8_9_9_9_9_8_8_7_8_9
3.545455
5_5_5_1_5_5_1_2_3_3_4
8.272727
9_6_9_9_9_9_9_8_7_7_9
finding_axis_of_symmetry
judging_axis_of_symmetry
7.454545
8_8_8_9_8_6_8_7_6_6_8
3.727273
5_5_6_1_5_5_1_2_5_3_3
7.727273
9_7_7_9_9_7_9_7_6_6_9
finding_axis_of_symmetry
similar_triangles_1
2.454545
2_3_1_1_5_1_2_3_2_3_4
5.636364
6_6_8_7_6_8_7_2_5_4_3
3.090909
1_4_1_2_3_1_3_8_3_3_5
place_value
adding_decimals
5
5_5_6_7_6_2_6_3_8_3_3_6
7
6_9_8_8_6_8_7_5_8_6_7_6
2.666667
5_1_1_2_4_1_3_3_2_3_4_3
place_value
adding_decimals_2
5.166667
6_6_7_7_6_2_6_4_8_2_2_6
7
6_9_7_7_6_8_6_6_8_7_8_6
2.75
5_1_2_2_4_1_4_4_1_2_4_3
place_value
division_3
2.5
4_5_3_2_1_1_3_2_2_2_2_3
7.583333
7_9_8_8_6_9_8_6_9_8_7_6
2.083333
5_1_1_2_1_1_4_3_1_1_3_2
place_value
hundred_million_adding_and_subtracting
5.166667
6_7_7_8_7_1_4_3_7_2_4_6
7.166667
6_9_7_7_8_9_5_7_7_7_8_6
3.333333
6_1_2_3_4_1_4_3_2_2_7_5
reading_bar_charts_1
creating_bar_charts_1
7.538462
8_9_8_8_1_8_9_7_9_7_9_7_8
5.846154
2_6_6_9_9_6_5_7_5_6_5_4_6
5.692308
8_9_6_1_2_5_9_4_8_6_4_8_4
reading_bar_charts_1
reading_stem_and_leaf_plots
5.153846
6_5_7_2_6_6_1_3_8_6_4_7_6
6.615385
7_5_7_8_5_7_8_7_8_6_7_7_4
3.769231
4_6_6_1_6_4_1_3_2_5_3_3_5
reading_bar_charts_1
reading_tables_1
7.230769
9_5_9_3_9_7_6_9_9_6_8_6_8
5.076923
5_5_5_6_5_5_5_5_5_6_6_4_4
6.230769
5_6_9_4_8_7_5_6_8_6_3_6_8
reading_bar_charts_1
logarithms_2
1.384615
3_1_1_1_1_1_1_1_2_3_1_1_1
7.923077
6_9_9_9_9_8_9_2_9_7_9_8_9
1.615385
6_1_1_1_1_1_1_2_1_3_1_1_1
reading_bar_charts_1
reading_tables_2
4.692308
4_5_7_3_9_6_5_4_1_6_3_2_6
5.769231
6_6_1_8_6_5_6_6_8_5_8_8_2
4.307692
4_4_8_2_3_7_5_4_2_6_2_3_6
divisibility_intuition
scientific_notation
1.8
1_3_2_1_1_2_2_1_3_2
5.7
7_6_8_2_8_8_2_3_6_7
2.2
3_3_2_1_1_2_3_1_3_3
divisibility_intuition
division_2.9
4.5
1_8_5_2_4_4_7_1_6_7
3.9
9_5_1_1_4_3_5_1_6_4
4.1
1_5_8_1_6_3_6_1_4_6
divisibility_intuition
number_line_2
3.2
4_3_9_1_1_4_2_1_4_3
2.5
1_2_1_1_2_5_4_1_5_3
4
2_7_9_1_1_4_6_1_4_5
divisibility_intuition
adding_subtracting_mixed_numbers_1
2.5
3_2_5_1_1_2_4_1_2_4
5
6_2_8_7_4_2_5_7_6_3
2.8
2_8_2_1_1_2_4_1_3_4
divisibility_intuition
division_1.5
5.9
5_8_5_2_7_8_7_2_7_8
3
3_5_1_1_6_2_3_1_5_3
5
7_5_2_1_6_8_8_2_5_6
divisibility_intuition
division_2
6.2
7_8_5_2_7_8_6_3_8_8
5
7_3_8_2_6_3_7_2_6_6
4.1
4_8_2_1_6_7_3_2_3_5
divisibility_intuition
divisibility_tests
6.7
5_8_8_5_7_8_6_4_8_8
5.6
3_7_8_3_7_4_7_5_6_6
4.7
6_3_2_6_6_7_4_5_4_4
axis_of_symmetry
judging_axis_of_symmetry
8.375
8_9_7_9_9_9_8_8
4.375
3_5_5_5_5_5_5_2
8.125
6_9_8_9_8_9_7_9
axis_of_symmetry
addition_1
1
1_1_1_1_1_1_1_1
2.125
1_1_2_1_5_1_5_1
1.75
2_4_1_1_2_1_2_1
axis_of_symmetry
multiplying_radicals
1.25
1_1_1_1_3_1_1_1
7.875
6_8_9_8_7_9_9_7
1.375
2_1_1_1_3_1_1_1
axis_of_symmetry
dividing_decimals
1
1_1_1_1_1_1_1_1
7.25
7_7_8_5_7_9_8_7
1.375
1_1_1_1_2_1_2_2
axis_of_symmetry
congruent_triangles_2
4.875
8_2_1_8_8_1_7_4
6
3_6_7_7_6_8_5_6
4
6_2_1_3_9_1_6_4
axis_of_symmetry
similar_triangles_2
3.25
3_2_1_8_3_1_4_4
6.375
6_7_8_6_5_9_6_4
3.625
2_2_1_6_7_1_4_6
axis_of_symmetry
similar_triangles_1
3.25
4_1_1_6_5_1_6_2
5.5
2_7_6_7_5_8_7_2
3.125
4_1_1_5_4_1_3_6
measuring_segments
points_lines_and_planes
3.916667
3_6_4_8_1_1_2_1_9_6_3_3
7.5
7_8_8_9_9_7_9_6_9_7_3_8
2.333333
3_5_1_1_3_4_1_1_1_1_5_2
measuring_segments
number_line_2
7
8_6_8_7_7_7_2_9_9_7_7_7
4.666667
4_2_2_7_5_6_7_5_2_6_4_6
5.333333
8_7_8_3_4_4_1_8_8_1_8_4
measuring_segments
midpoint_of_a_segment
6.166667
7_6_7_6_4_7_4_7_8_4_6_8
6.916667
6_7_7_8_8_7_7_9_1_8_6_9
3.416667
4_3_4_3_2_3_2_4_9_1_4_2
measuring_segments
area_of_a_circle
1.75
2_3_1_2_1_1_3_1_1_2_2_2
7.583333
8_8_8_7_9_7_7_7_9_8_7_6
1.583333
2_4_1_3_1_1_1_1_1_1_2_1
measuring_segments
recognizing_rays_lines_and_line_segments
3.916667
3_3_4_5_2_4_2_6_2_6_3_7
2.916667
4_5_1_3_2_1_5_2_1_5_2_4
6.833333
7_6_7_9_7_8_4_7_7_8_4_8
judging_axis_of_symmetry
finding_axis_of_symmetry
8
9_7_8_8_7_9_8_8
5.375
5_5_7_7_6_1_5_7
6.5
9_8_4_6_5_9_7_4
judging_axis_of_symmetry
axis_of_symmetry
8.375
9_9_8_8_8_9_7_9
5.5
5_5_6_6_5_7_5_5
7.5
9_9_7_8_7_4_7_9
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