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The dataset generation failed because of a cast error
Error code: DatasetGenerationCastError
Exception: DatasetGenerationCastError
Message: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 4 new columns ({'correct_answer', 'error_type', 'error_description', 'ns_solution_with_error'}) and 3 missing columns ({'shortcut_strength', 'variant', 'ground_truth'}).
This happened while the json dataset builder was generating data using
hf://datasets/DaydreamerMZM/SenseMath/data/judge_j2.json (at revision ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1), [/tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j1.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j1.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j2.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j2.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j3.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j3.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d16.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d16.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d2.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d2.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d4.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d4.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d8.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d8.json)]
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)
Traceback: Traceback (most recent call last):
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1890, in _prepare_split_single
writer.write_table(table)
File "/usr/local/lib/python3.12/site-packages/datasets/arrow_writer.py", line 760, in write_table
pa_table = table_cast(pa_table, self._schema)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2272, in table_cast
return cast_table_to_schema(table, schema)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2218, in cast_table_to_schema
raise CastError(
datasets.table.CastError: Couldn't cast
task_id: string
task_type: string
category: string
problem: string
correct_answer: string
ns_solution_with_error: string
error_type: string
error_description: string
prompt: string
to
{'task_id': Value('string'), 'task_type': Value('string'), 'category': Value('string'), 'variant': Value('string'), 'problem': Value('string'), 'ground_truth': Value('string'), 'shortcut_strength': Value('float64'), 'prompt': Value('string')}
because column names don't match
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1347, in compute_config_parquet_and_info_response
parquet_operations = convert_to_parquet(builder)
^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 980, in convert_to_parquet
builder.download_and_prepare(
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 884, in download_and_prepare
self._download_and_prepare(
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 947, in _download_and_prepare
self._prepare_split(split_generator, **prepare_split_kwargs)
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1739, in _prepare_split
for job_id, done, content in self._prepare_split_single(
^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1892, in _prepare_split_single
raise DatasetGenerationCastError.from_cast_error(
datasets.exceptions.DatasetGenerationCastError: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 4 new columns ({'correct_answer', 'error_type', 'error_description', 'ns_solution_with_error'}) and 3 missing columns ({'shortcut_strength', 'variant', 'ground_truth'}).
This happened while the json dataset builder was generating data using
hf://datasets/DaydreamerMZM/SenseMath/data/judge_j2.json (at revision ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1), [/tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j1.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j1.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j2.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j2.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j3.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/judge_j3.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d16.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d16.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d2.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d2.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d4.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d4.json), /tmp/hf-datasets-cache/medium/datasets/25062865667370-config-parquet-and-info-DaydreamerMZM-SenseMath-91af56ed/hub/datasets--DaydreamerMZM--SenseMath/snapshots/ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d8.json (origin=hf://datasets/DaydreamerMZM/SenseMath@ff7ff8eee518f3a540f7e0e0ee39e647c766e9f1/data/sensemath_v2_d8.json)]
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)Need help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
task_id string | task_type string | category string | variant string | problem string | ground_truth string | shortcut_strength float64 | prompt string |
|---|---|---|---|---|---|---|---|
J1_equation_reasoning_000729_weak_shortcut | J1_strategy_appropriateness | equation_reasoning | weak_shortcut | What value fills the blank? 4648 + 2509 + ___ = 2509 + 7879 + 2086
(A) 5307 (B) 5337 (C) 5327 (D) 5317 | YES | 0.5 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What value fills the blank? 4648 + 2509 + ___ = 2509 + 7879 + 2086
(A) 5307 (B) 5337 (C) 5327 (D) 5317 |
J1_relative_distance_000520_weak_shortcut | J1_strategy_appropriateness | relative_distance | weak_shortcut | Which is larger: 4430/9230 or 2182/3968?
(A) 3054/4091 (B) 4430/9230 (C) 1328/3436 (D) 2182/3968 | YES | 0.069943 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 4430/9230 or 2182/3968?
(A) 3054/4091 (B) 4430/9230 (C) 1328/3436 (D) 2182/3968 |
J1_magnitude_estimation_000414_weak_shortcut | J1_strategy_appropriateness | magnitude_estimation | weak_shortcut | Which of the following is the best estimate for 10100 * 10140?
(A) 102414010 (B) 102413990 (C) 102414020 (D) 102414000 | YES | 0.988 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 10100 * 10140?
(A) 102414010 (B) 102413990 (C) 102414020 (D) 102414000 |
J1_option_elimination_000765_control | J1_strategy_appropriateness | option_elimination | control | What is 9071 × 8363?
(A) 88380773 (B) 86000773 (C) 80270773 (D) 75860773 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 9071 × 8363?
(A) 88380773 (B) 86000773 (C) 80270773 (D) 75860773 |
J1_landmark_comparison_000677_control | J1_strategy_appropriateness | landmark_comparison | control | Is 73% of 23770 greater than 9136?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 73% of 23770 greater than 9136?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_option_elimination_000798_weak_shortcut | J1_strategy_appropriateness | option_elimination | weak_shortcut | What is 2760 × 5986?
(A) 16521360 (B) 16521380 (C) 16521361 (D) 16521359 | YES | 0.5 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 2760 × 5986?
(A) 16521360 (B) 16521380 (C) 16521361 (D) 16521359 |
J1_structural_shortcuts_000494_control | J1_strategy_appropriateness | structural_shortcuts | control | What is 4697 * 4721?
(A) 22174547 (B) 22174527 (C) 22174537 (D) 22174557 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 4697 * 4721?
(A) 22174547 (B) 22174527 (C) 22174537 (D) 22174557 |
J1_magnitude_estimation_000434_strong_shortcut | J1_strategy_appropriateness | magnitude_estimation | strong_shortcut | Which of the following is the best estimate for 10200 * 9800?
(A) 99960000 (B) 99959990 (C) 99960010 (D) 99960020 | YES | 0.98 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 10200 * 9800?
(A) 99960000 (B) 99959990 (C) 99960010 (D) 99960020 |
J1_relative_distance_000522_control | J1_strategy_appropriateness | relative_distance | control | Which is larger: 5316/9664 or 4112/7088?
(A) 5316/9664 (B) 2355/4903 (C) 2683/4441 (D) 4112/7088 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 5316/9664 or 4112/7088?
(A) 5316/9664 (B) 2355/4903 (C) 2683/4441 (D) 4112/7088 |
J1_structural_shortcuts_000483_strong_shortcut | J1_strategy_appropriateness | structural_shortcuts | strong_shortcut | What is 10001 * 1388?
(A) 13881388 (B) 13881378 (C) 13881408 (D) 13881398 | YES | 0.9999 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 10001 * 1388?
(A) 13881388 (B) 13881378 (C) 13881408 (D) 13881398 |
J1_compatible_numbers_000647_weak_shortcut | J1_strategy_appropriateness | compatible_numbers | weak_shortcut | Estimate 2470 × 5025.
(A) 12411760 (B) 12411750 (C) 12411770 (D) 12411740 | YES | 0.865875 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 2470 × 5025.
(A) 12411760 (B) 12411750 (C) 12411770 (D) 12411740 |
J1_option_elimination_000752_strong_shortcut | J1_strategy_appropriateness | option_elimination | strong_shortcut | What is 4077 × 6150?
(A) 25073551 (B) 25073552 (C) 25073550 (D) 25073549 | YES | 1 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 4077 × 6150?
(A) 25073551 (B) 25073552 (C) 25073550 (D) 25073549 |
J1_landmark_comparison_000666_strong_shortcut | J1_strategy_appropriateness | landmark_comparison | strong_shortcut | Is 52% of 79090 greater than 21700?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | YES | 0.98 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 52% of 79090 greater than 21700?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_relative_distance_000506_weak_shortcut | J1_strategy_appropriateness | relative_distance | weak_shortcut | Which is larger: 1561/3253 or 4531/8239?
(A) 1272/3372 (B) 4531/8239 (C) 4610/8904 (D) 1561/3253 | YES | 0.070081 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 1561/3253 or 4531/8239?
(A) 1272/3372 (B) 4531/8239 (C) 4610/8904 (D) 1561/3253 |
J1_equation_reasoning_000731_weak_shortcut | J1_strategy_appropriateness | equation_reasoning | weak_shortcut | What value fills the blank? 9518 + 9468 + ___ = 9468 + 5370 + 3157
(A) -991 (B) -1009 (C) -989 (D) -979 | YES | 0.5 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What value fills the blank? 9518 + 9468 + ___ = 9468 + 5370 + 3157
(A) -991 (B) -1009 (C) -989 (D) -979 |
J1_equation_reasoning_000717_control | J1_strategy_appropriateness | equation_reasoning | control | What value fills the blank? 1753 + 7390 + ___ = 8979 + 5093
(A) 4929 (B) 4939 (C) 4919 (D) 4949 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What value fills the blank? 1753 + 7390 + ___ = 8979 + 5093
(A) 4929 (B) 4939 (C) 4919 (D) 4949 |
J1_landmark_comparison_000693_strong_shortcut | J1_strategy_appropriateness | landmark_comparison | strong_shortcut | Is 26% of 37310 greater than 17689?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | YES | 0.99 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 26% of 37310 greater than 17689?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_magnitude_estimation_000446_strong_shortcut | J1_strategy_appropriateness | magnitude_estimation | strong_shortcut | Which of the following is the best estimate for 10100 * 9900?
(A) 99990000 (B) 99990020 (C) 99989990 (D) 99990010 | YES | 0.99 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 10100 * 9900?
(A) 99990000 (B) 99990020 (C) 99989990 (D) 99990010 |
J1_compatible_numbers_000633_control | J1_strategy_appropriateness | compatible_numbers | control | Estimate 9047 × 9028.
(A) 81676306 (B) 81676316 (C) 81676336 (D) 81676326 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 9047 × 9028.
(A) 81676306 (B) 81676316 (C) 81676336 (D) 81676326 |
J1_option_elimination_000778_control | J1_strategy_appropriateness | option_elimination | control | What is 3947 × 4463?
(A) 18675461 (B) 17615461 (C) 14985461 (D) 17575461 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 3947 × 4463?
(A) 18675461 (B) 17615461 (C) 14985461 (D) 17575461 |
J1_relative_distance_000529_weak_shortcut | J1_strategy_appropriateness | relative_distance | weak_shortcut | Which is larger: 4754/9905 or 2960/5382?
(A) 381/1347 (B) 4754/9905 (C) 3484/9906 (D) 2960/5382 | YES | 0.070022 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 4754/9905 or 2960/5382?
(A) 381/1347 (B) 4754/9905 (C) 3484/9906 (D) 2960/5382 |
J1_landmark_comparison_000687_control | J1_strategy_appropriateness | landmark_comparison | control | Is 73% of 63180 greater than 19879?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 73% of 63180 greater than 19879?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_magnitude_estimation_000445_weak_shortcut | J1_strategy_appropriateness | magnitude_estimation | weak_shortcut | Which of the following is the best estimate for 9900 * 10156?
(A) 100544390 (B) 100544420 (C) 100544400 (D) 100544410 | YES | 0.9872 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 9900 * 10156?
(A) 100544390 (B) 100544420 (C) 100544400 (D) 100544410 |
J1_compatible_numbers_000641_weak_shortcut | J1_strategy_appropriateness | compatible_numbers | weak_shortcut | Estimate 1258 × 5897.
(A) 7418436 (B) 7418426 (C) 7418446 (D) 7418416 | YES | 0.865363 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 1258 × 5897.
(A) 7418436 (B) 7418426 (C) 7418446 (D) 7418416 |
J1_relative_distance_000504_weak_shortcut | J1_strategy_appropriateness | relative_distance | weak_shortcut | Which is larger: 1639/3415 or 3104/5643?
(A) 1003/1562 (B) 3104/5643 (C) 1639/3415 (D) 2376/3389 | YES | 0.070121 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 1639/3415 or 3104/5643?
(A) 1003/1562 (B) 3104/5643 (C) 1639/3415 (D) 2376/3389 |
J1_magnitude_estimation_000424_weak_shortcut | J1_strategy_appropriateness | magnitude_estimation | weak_shortcut | Which of the following is the best estimate for 10200 * 10200?
(A) 104040020 (B) 104039990 (C) 104040010 (D) 104040000 | YES | 0.98 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 10200 * 10200?
(A) 104040020 (B) 104039990 (C) 104040010 (D) 104040000 |
J1_compatible_numbers_000647_strong_shortcut | J1_strategy_appropriateness | compatible_numbers | strong_shortcut | Estimate 2530 × 3992.
(A) 10099760 (B) 10099770 (C) 10099750 (D) 10099780 | YES | 0.993 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 2530 × 3992.
(A) 10099760 (B) 10099770 (C) 10099750 (D) 10099780 |
J1_compatible_numbers_000602_weak_shortcut | J1_strategy_appropriateness | compatible_numbers | weak_shortcut | Estimate 2497 × 3111.
(A) 7768177 (B) 7768167 (C) 7768157 (D) 7768187 | YES | 0.888275 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 2497 × 3111.
(A) 7768177 (B) 7768167 (C) 7768157 (D) 7768187 |
J1_option_elimination_000797_weak_shortcut | J1_strategy_appropriateness | option_elimination | weak_shortcut | What is 3925 × 5618?
(A) 22050670 (B) 22050651 (C) 22050649 (D) 22050650 | YES | 0.5 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 3925 × 5618?
(A) 22050670 (B) 22050651 (C) 22050649 (D) 22050650 |
J1_compatible_numbers_000645_control | J1_strategy_appropriateness | compatible_numbers | control | Estimate 3753 × 5259.
(A) 19737037 (B) 19737027 (C) 19737017 (D) 19737047 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 3753 × 5259.
(A) 19737037 (B) 19737027 (C) 19737017 (D) 19737047 |
J1_structural_shortcuts_000499_weak_shortcut | J1_strategy_appropriateness | structural_shortcuts | weak_shortcut | What is 10005 * 3275?
(A) 32766385 (B) 32766365 (C) 32766395 (D) 32766375 | YES | 0.9995 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 10005 * 3275?
(A) 32766385 (B) 32766365 (C) 32766395 (D) 32766375 |
J1_structural_shortcuts_000452_control | J1_strategy_appropriateness | structural_shortcuts | control | What is 4484 * 4590?
(A) 20581550 (B) 20581580 (C) 20581560 (D) 20581570 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 4484 * 4590?
(A) 20581550 (B) 20581580 (C) 20581560 (D) 20581570 |
J1_cancellation_identity_000581_control | J1_strategy_appropriateness | cancellation_identity | control | Evaluate: 4268 + 5101 - 2454
(A) 6935 (B) 6915 (C) 6925 (D) 6905 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 4268 + 5101 - 2454
(A) 6935 (B) 6915 (C) 6925 (D) 6905 |
J1_structural_shortcuts_000462_strong_shortcut | J1_strategy_appropriateness | structural_shortcuts | strong_shortcut | What is 10002 * 4433?
(A) 44338886 (B) 44338866 (C) 44338876 (D) 44338856 | YES | 0.9998 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 10002 * 4433?
(A) 44338886 (B) 44338866 (C) 44338876 (D) 44338856 |
J1_magnitude_estimation_000450_control | J1_strategy_appropriateness | magnitude_estimation | control | Which of the following is the best estimate for 5162 * 4712?
(A) 24323364 (B) 24323344 (C) 24323334 (D) 24323354 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 5162 * 4712?
(A) 24323364 (B) 24323344 (C) 24323334 (D) 24323354 |
J1_cancellation_identity_000571_weak_shortcut | J1_strategy_appropriateness | cancellation_identity | weak_shortcut | Evaluate: 6789 + 9091 - 9099
(A) 6781 (B) 6791 (C) 6771 (D) 6801 | YES | 0.99912 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 6789 + 9091 - 9099
(A) 6781 (B) 6791 (C) 6771 (D) 6801 |
J1_option_elimination_000777_weak_shortcut | J1_strategy_appropriateness | option_elimination | weak_shortcut | What is 2895 × 9642?
(A) 27913591 (B) 27913600 (C) 27913590 (D) 27913589 | YES | 0.5 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 2895 × 9642?
(A) 27913591 (B) 27913600 (C) 27913590 (D) 27913589 |
J1_cancellation_identity_000556_control | J1_strategy_appropriateness | cancellation_identity | control | Evaluate: 6861 + 5024 - 2865
(A) 9010 (B) 9030 (C) 9020 (D) 9040 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 6861 + 5024 - 2865
(A) 9010 (B) 9030 (C) 9020 (D) 9040 |
J1_landmark_comparison_000692_weak_shortcut | J1_strategy_appropriateness | landmark_comparison | weak_shortcut | Is 3% of 61660 greater than 27126?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | YES | 0.93 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 3% of 61660 greater than 27126?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_cancellation_identity_000558_control | J1_strategy_appropriateness | cancellation_identity | control | Evaluate: 3344 + 1236 - 1733
(A) 2867 (B) 2847 (C) 2837 (D) 2857 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 3344 + 1236 - 1733
(A) 2867 (B) 2847 (C) 2837 (D) 2857 |
J1_option_elimination_000758_control | J1_strategy_appropriateness | option_elimination | control | What is 1649 × 9833?
(A) 16214617 (B) 17424617 (C) 14514617 (D) 16024617 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 1649 × 9833?
(A) 16214617 (B) 17424617 (C) 14514617 (D) 16024617 |
J1_compatible_numbers_000613_strong_shortcut | J1_strategy_appropriateness | compatible_numbers | strong_shortcut | Estimate 2540 × 3676.
(A) 9337060 (B) 9337040 (C) 9337050 (D) 9337030 | YES | 0.9515 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 2540 × 3676.
(A) 9337060 (B) 9337040 (C) 9337050 (D) 9337030 |
J1_relative_distance_000523_strong_shortcut | J1_strategy_appropriateness | relative_distance | strong_shortcut | Which is larger: 1473/2971 or 843/1672?
(A) 843/1672 (B) 807/2616 (C) 1473/2971 (D) 2865/4160 | YES | 0.008394 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 1473/2971 or 843/1672?
(A) 843/1672 (B) 807/2616 (C) 1473/2971 (D) 2865/4160 |
J1_option_elimination_000789_control | J1_strategy_appropriateness | option_elimination | control | What is 7373 × 4227?
(A) 30475671 (B) 31455671 (C) 32725671 (D) 31165671 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 7373 × 4227?
(A) 30475671 (B) 31455671 (C) 32725671 (D) 31165671 |
J1_landmark_comparison_000668_control | J1_strategy_appropriateness | landmark_comparison | control | Is 73% of 93060 greater than 31194?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 73% of 93060 greater than 31194?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_compatible_numbers_000649_weak_shortcut | J1_strategy_appropriateness | compatible_numbers | weak_shortcut | Estimate 1255 × 10479.
(A) 13151155 (B) 13151145 (C) 13151165 (D) 13151135 | YES | 0.843063 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 1255 × 10479.
(A) 13151155 (B) 13151145 (C) 13151165 (D) 13151135 |
J1_compatible_numbers_000621_control | J1_strategy_appropriateness | compatible_numbers | control | Estimate 2846 × 5764.
(A) 16404344 (B) 16404364 (C) 16404334 (D) 16404354 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 2846 × 5764.
(A) 16404344 (B) 16404364 (C) 16404334 (D) 16404354 |
J1_equation_reasoning_000740_control | J1_strategy_appropriateness | equation_reasoning | control | What value fills the blank? 2555 + 2924 + ___ = 4909 + 6909
(A) 6359 (B) 6339 (C) 6349 (D) 6329 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What value fills the blank? 2555 + 2924 + ___ = 4909 + 6909
(A) 6359 (B) 6339 (C) 6349 (D) 6329 |
J1_landmark_comparison_000684_control | J1_strategy_appropriateness | landmark_comparison | control | Is 37% of 17490 greater than 8451?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 37% of 17490 greater than 8451?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_cancellation_identity_000599_strong_shortcut | J1_strategy_appropriateness | cancellation_identity | strong_shortcut | Evaluate: 2021 + 4865 - 4863
(A) 2033 (B) 2013 (C) 2043 (D) 2023 | YES | 0.999589 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 2021 + 4865 - 4863
(A) 2033 (B) 2013 (C) 2043 (D) 2023 |
J1_magnitude_estimation_000405_control | J1_strategy_appropriateness | magnitude_estimation | control | Which of the following is the best estimate for 5392 * 5454?
(A) 29407958 (B) 29407978 (C) 29407988 (D) 29407968 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 5392 * 5454?
(A) 29407958 (B) 29407978 (C) 29407988 (D) 29407968 |
J1_structural_shortcuts_000477_strong_shortcut | J1_strategy_appropriateness | structural_shortcuts | strong_shortcut | What is 9999 * 3736?
(A) 37356284 (B) 37356254 (C) 37356274 (D) 37356264 | YES | 0.9999 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 9999 * 3736?
(A) 37356284 (B) 37356254 (C) 37356274 (D) 37356264 |
J1_structural_shortcuts_000483_control | J1_strategy_appropriateness | structural_shortcuts | control | What is 6722 * 5016?
(A) 33717552 (B) 33717542 (C) 33717572 (D) 33717562 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 6722 * 5016?
(A) 33717552 (B) 33717542 (C) 33717572 (D) 33717562 |
J1_compatible_numbers_000634_weak_shortcut | J1_strategy_appropriateness | compatible_numbers | weak_shortcut | Estimate 1250 × 10446.
(A) 13057500 (B) 13057490 (C) 13057520 (D) 13057510 | YES | 0.847125 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 1250 × 10446.
(A) 13057500 (B) 13057490 (C) 13057520 (D) 13057510 |
J1_compatible_numbers_000644_control | J1_strategy_appropriateness | compatible_numbers | control | Estimate 4235 × 1437.
(A) 6085685 (B) 6085715 (C) 6085695 (D) 6085705 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 4235 × 1437.
(A) 6085685 (B) 6085715 (C) 6085695 (D) 6085705 |
J1_cancellation_identity_000588_control | J1_strategy_appropriateness | cancellation_identity | control | Evaluate: 9092 + 3990 - 6160
(A) 6922 (B) 6912 (C) 6942 (D) 6932 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 9092 + 3990 - 6160
(A) 6922 (B) 6912 (C) 6942 (D) 6932 |
J1_option_elimination_000761_strong_shortcut | J1_strategy_appropriateness | option_elimination | strong_shortcut | What is 4770 × 3207?
(A) 15297389 (B) 15297391 (C) 15297390 (D) 15297392 | YES | 1 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 4770 × 3207?
(A) 15297389 (B) 15297391 (C) 15297390 (D) 15297392 |
J1_cancellation_identity_000589_strong_shortcut | J1_strategy_appropriateness | cancellation_identity | strong_shortcut | Evaluate: 3427 + 1463 - 1462
(A) 3448 (B) 3438 (C) 3428 (D) 3418 | YES | 0.999316 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 3427 + 1463 - 1462
(A) 3448 (B) 3438 (C) 3428 (D) 3418 |
J1_relative_distance_000507_weak_shortcut | J1_strategy_appropriateness | relative_distance | weak_shortcut | Which is larger: 2407/5014 or 856/1556?
(A) 2407/5014 (B) 856/1556 (C) 3875/7498 (D) 1229/2946 | YES | 0.070073 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 2407/5014 or 856/1556?
(A) 2407/5014 (B) 856/1556 (C) 3875/7498 (D) 1229/2946 |
J1_compatible_numbers_000643_strong_shortcut | J1_strategy_appropriateness | compatible_numbers | strong_shortcut | Estimate 5060 × 1868.
(A) 9452090 (B) 9452070 (C) 9452080 (D) 9452100 | YES | 0.961 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 5060 × 1868.
(A) 9452090 (B) 9452070 (C) 9452080 (D) 9452100 |
J1_equation_reasoning_000710_weak_shortcut | J1_strategy_appropriateness | equation_reasoning | weak_shortcut | What value fills the blank? 5015 + 4741 + ___ = 4741 + 8472 + 3907
(A) 7354 (B) 7374 (C) 7384 (D) 7364 | YES | 0.5 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What value fills the blank? 5015 + 4741 + ___ = 4741 + 8472 + 3907
(A) 7354 (B) 7374 (C) 7384 (D) 7364 |
J1_landmark_comparison_000672_weak_shortcut | J1_strategy_appropriateness | landmark_comparison | weak_shortcut | Is 4% of 52240 greater than 13685?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | YES | 0.94 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 4% of 52240 greater than 13685?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_structural_shortcuts_000471_strong_shortcut | J1_strategy_appropriateness | structural_shortcuts | strong_shortcut | What is 9998 * 7041?
(A) 70395938 (B) 70395928 (C) 70395908 (D) 70395918 | YES | 0.9998 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 9998 * 7041?
(A) 70395938 (B) 70395928 (C) 70395908 (D) 70395918 |
J1_magnitude_estimation_000422_control | J1_strategy_appropriateness | magnitude_estimation | control | Which of the following is the best estimate for 5135 * 6644?
(A) 34116950 (B) 34116960 (C) 34116930 (D) 34116940 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 5135 * 6644?
(A) 34116950 (B) 34116960 (C) 34116930 (D) 34116940 |
J1_compatible_numbers_000620_weak_shortcut | J1_strategy_appropriateness | compatible_numbers | weak_shortcut | Estimate 2518 × 5231.
(A) 13171668 (B) 13171648 (C) 13171678 (D) 13171658 | YES | 0.842525 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 2518 × 5231.
(A) 13171668 (B) 13171648 (C) 13171678 (D) 13171658 |
J1_magnitude_estimation_000426_control | J1_strategy_appropriateness | magnitude_estimation | control | Which of the following is the best estimate for 4403 * 5309?
(A) 23375527 (B) 23375547 (C) 23375517 (D) 23375537 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 4403 * 5309?
(A) 23375527 (B) 23375547 (C) 23375517 (D) 23375537 |
J1_landmark_comparison_000696_weak_shortcut | J1_strategy_appropriateness | landmark_comparison | weak_shortcut | Is 55% of 76930 greater than 26921?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | YES | 0.95 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 55% of 76930 greater than 26921?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_option_elimination_000796_weak_shortcut | J1_strategy_appropriateness | option_elimination | weak_shortcut | What is 3560 × 8686?
(A) 30922160 (B) 30922159 (C) 30922170 (D) 30922161 | YES | 0.5 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 3560 × 8686?
(A) 30922160 (B) 30922159 (C) 30922170 (D) 30922161 |
J1_relative_distance_000503_weak_shortcut | J1_strategy_appropriateness | relative_distance | weak_shortcut | Which is larger: 1482/3087 or 3374/6134?
(A) 1482/3087 (B) 574/1027 (C) 4170/7229 (D) 3374/6134 | YES | 0.069971 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 1482/3087 or 3374/6134?
(A) 1482/3087 (B) 574/1027 (C) 4170/7229 (D) 3374/6134 |
J1_magnitude_estimation_000414_strong_shortcut | J1_strategy_appropriateness | magnitude_estimation | strong_shortcut | Which of the following is the best estimate for 10200 * 9800?
(A) 99959990 (B) 99960020 (C) 99960010 (D) 99960000 | YES | 0.98 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 10200 * 9800?
(A) 99959990 (B) 99960020 (C) 99960010 (D) 99960000 |
J1_landmark_comparison_000657_weak_shortcut | J1_strategy_appropriateness | landmark_comparison | weak_shortcut | Is 53% of 43310 greater than 15814?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | YES | 0.97 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 53% of 43310 greater than 15814?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_relative_distance_000549_strong_shortcut | J1_strategy_appropriateness | relative_distance | strong_shortcut | Which is larger: 1237/2527 or 1278/2528?
(A) 995/1455 (B) 1237/2527 (C) 453/1189 (D) 1278/2528 | YES | 0.016025 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 1237/2527 or 1278/2528?
(A) 995/1455 (B) 1237/2527 (C) 453/1189 (D) 1278/2528 |
J1_structural_shortcuts_000472_weak_shortcut | J1_strategy_appropriateness | structural_shortcuts | weak_shortcut | What is 9996 * 7499?
(A) 74960024 (B) 74960014 (C) 74959994 (D) 74960004 | YES | 0.9996 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 9996 * 7499?
(A) 74960024 (B) 74960014 (C) 74959994 (D) 74960004 |
J1_magnitude_estimation_000411_weak_shortcut | J1_strategy_appropriateness | magnitude_estimation | weak_shortcut | Which of the following is the best estimate for 10100 * 10241?
(A) 103434090 (B) 103434110 (C) 103434100 (D) 103434120 | YES | 0.98295 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 10100 * 10241?
(A) 103434090 (B) 103434110 (C) 103434100 (D) 103434120 |
J1_structural_shortcuts_000484_control | J1_strategy_appropriateness | structural_shortcuts | control | What is 6597 * 4578?
(A) 30201056 (B) 30201086 (C) 30201066 (D) 30201076 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 6597 * 4578?
(A) 30201056 (B) 30201086 (C) 30201066 (D) 30201076 |
J1_cancellation_identity_000592_control | J1_strategy_appropriateness | cancellation_identity | control | Evaluate: 6703 + 7620 - 4009
(A) 10304 (B) 10334 (C) 10314 (D) 10324 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 6703 + 7620 - 4009
(A) 10304 (B) 10334 (C) 10314 (D) 10324 |
J1_option_elimination_000789_strong_shortcut | J1_strategy_appropriateness | option_elimination | strong_shortcut | What is 3121 × 1321?
(A) 4122842 (B) 4122840 (C) 4122841 (D) 4122844 | YES | 1 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 3121 × 1321?
(A) 4122842 (B) 4122840 (C) 4122841 (D) 4122844 |
J1_magnitude_estimation_000447_strong_shortcut | J1_strategy_appropriateness | magnitude_estimation | strong_shortcut | Which of the following is the best estimate for 9900 * 9900?
(A) 98010020 (B) 98009990 (C) 98010000 (D) 98010010 | YES | 0.99 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 9900 * 9900?
(A) 98010020 (B) 98009990 (C) 98010000 (D) 98010010 |
J1_magnitude_estimation_000436_strong_shortcut | J1_strategy_appropriateness | magnitude_estimation | strong_shortcut | Which of the following is the best estimate for 9800 * 9900?
(A) 97020020 (B) 97020010 (C) 97020000 (D) 97019990 | YES | 0.985 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 9800 * 9900?
(A) 97020020 (B) 97020010 (C) 97020000 (D) 97019990 |
J1_compatible_numbers_000634_control | J1_strategy_appropriateness | compatible_numbers | control | Estimate 1554 × 1462.
(A) 2271938 (B) 2271948 (C) 2271958 (D) 2271968 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Estimate 1554 × 1462.
(A) 2271938 (B) 2271948 (C) 2271958 (D) 2271968 |
J1_magnitude_estimation_000431_strong_shortcut | J1_strategy_appropriateness | magnitude_estimation | strong_shortcut | Which of the following is the best estimate for 9800 * 9900?
(A) 97020020 (B) 97019990 (C) 97020010 (D) 97020000 | YES | 0.985 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 9800 * 9900?
(A) 97020020 (B) 97019990 (C) 97020010 (D) 97020000 |
J1_magnitude_estimation_000440_control | J1_strategy_appropriateness | magnitude_estimation | control | Which of the following is the best estimate for 6426 * 6564?
(A) 42180254 (B) 42180264 (C) 42180274 (D) 42180284 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 6426 * 6564?
(A) 42180254 (B) 42180264 (C) 42180274 (D) 42180284 |
J1_magnitude_estimation_000436_control | J1_strategy_appropriateness | magnitude_estimation | control | Which of the following is the best estimate for 4266 * 6408?
(A) 27336518 (B) 27336528 (C) 27336548 (D) 27336538 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which of the following is the best estimate for 4266 * 6408?
(A) 27336518 (B) 27336528 (C) 27336548 (D) 27336538 |
J1_structural_shortcuts_000477_weak_shortcut | J1_strategy_appropriateness | structural_shortcuts | weak_shortcut | What is 9997 * 6286?
(A) 62841132 (B) 62841142 (C) 62841162 (D) 62841152 | YES | 0.9997 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 9997 * 6286?
(A) 62841132 (B) 62841142 (C) 62841162 (D) 62841152 |
J1_cancellation_identity_000579_weak_shortcut | J1_strategy_appropriateness | cancellation_identity | weak_shortcut | Evaluate: 1817 + 5124 - 5133
(A) 1798 (B) 1808 (C) 1828 (D) 1818 | YES | 0.998244 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 1817 + 5124 - 5133
(A) 1798 (B) 1808 (C) 1828 (D) 1818 |
J1_equation_reasoning_000718_strong_shortcut | J1_strategy_appropriateness | equation_reasoning | strong_shortcut | What value fills the blank? 2661 + 1919 + ___ = 1919 + 6614 + 2661
(A) 6614 (B) 6624 (C) 6604 (D) 6634 | YES | 1 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What value fills the blank? 2661 + 1919 + ___ = 1919 + 6614 + 2661
(A) 6614 (B) 6624 (C) 6604 (D) 6634 |
J1_cancellation_identity_000559_weak_shortcut | J1_strategy_appropriateness | cancellation_identity | weak_shortcut | Evaluate: 5670 + 1297 - 1292
(A) 5695 (B) 5665 (C) 5685 (D) 5675 | YES | 0.996145 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 5670 + 1297 - 1292
(A) 5695 (B) 5665 (C) 5685 (D) 5675 |
J1_cancellation_identity_000586_weak_shortcut | J1_strategy_appropriateness | cancellation_identity | weak_shortcut | Evaluate: 3507 + 2988 - 2983
(A) 3532 (B) 3512 (C) 3522 (D) 3502 | YES | 0.998327 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 3507 + 2988 - 2983
(A) 3532 (B) 3512 (C) 3522 (D) 3502 |
J1_cancellation_identity_000588_weak_shortcut | J1_strategy_appropriateness | cancellation_identity | weak_shortcut | Evaluate: 9092 + 3990 - 3996
(A) 9086 (B) 9076 (C) 9106 (D) 9096 | YES | 0.998496 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 9092 + 3990 - 3996
(A) 9086 (B) 9076 (C) 9106 (D) 9096 |
J1_option_elimination_000764_weak_shortcut | J1_strategy_appropriateness | option_elimination | weak_shortcut | What is 1555 × 8380?
(A) 13030899 (B) 13030901 (C) 13030900 (D) 13030880 | YES | 0.5 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 1555 × 8380?
(A) 13030899 (B) 13030901 (C) 13030900 (D) 13030880 |
J1_cancellation_identity_000582_weak_shortcut | J1_strategy_appropriateness | cancellation_identity | weak_shortcut | Evaluate: 3270 + 9632 - 9622
(A) 3280 (B) 3300 (C) 3290 (D) 3270 | YES | 0.998962 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Evaluate: 3270 + 9632 - 9622
(A) 3280 (B) 3300 (C) 3290 (D) 3270 |
J1_structural_shortcuts_000451_weak_shortcut | J1_strategy_appropriateness | structural_shortcuts | weak_shortcut | What is 9996 * 5289?
(A) 52868854 (B) 52868864 (C) 52868834 (D) 52868844 | YES | 0.9996 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 9996 * 5289?
(A) 52868854 (B) 52868864 (C) 52868834 (D) 52868844 |
J1_landmark_comparison_000701_weak_shortcut | J1_strategy_appropriateness | landmark_comparison | weak_shortcut | Is 17% of 21520 greater than 10615?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | YES | 0.93 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 17% of 21520 greater than 10615?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_equation_reasoning_000738_control | J1_strategy_appropriateness | equation_reasoning | control | What value fills the blank? 2848 + 8643 + ___ = 7978 + 3759
(A) 266 (B) 246 (C) 256 (D) 236 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What value fills the blank? 2848 + 8643 + ___ = 7978 + 3759
(A) 266 (B) 246 (C) 256 (D) 236 |
J1_structural_shortcuts_000481_weak_shortcut | J1_strategy_appropriateness | structural_shortcuts | weak_shortcut | What is 9997 * 4873?
(A) 48715391 (B) 48715401 (C) 48715381 (D) 48715371 | YES | 0.9997 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 9997 * 4873?
(A) 48715391 (B) 48715401 (C) 48715381 (D) 48715371 |
J1_option_elimination_000801_strong_shortcut | J1_strategy_appropriateness | option_elimination | strong_shortcut | What is 2531 × 7515?
(A) 19020468 (B) 19020465 (C) 19020466 (D) 19020464 | YES | 1 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 2531 × 7515?
(A) 19020468 (B) 19020465 (C) 19020466 (D) 19020464 |
J1_landmark_comparison_000695_weak_shortcut | J1_strategy_appropriateness | landmark_comparison | weak_shortcut | Is 44% of 45760 greater than 12614?
(A) Yes (B) No (C) Cannot be determined (D) Need more information | YES | 0.94 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Is 44% of 45760 greater than 12614?
(A) Yes (B) No (C) Cannot be determined (D) Need more information |
J1_structural_shortcuts_000465_weak_shortcut | J1_strategy_appropriateness | structural_shortcuts | weak_shortcut | What is 9995 * 7322?
(A) 73183400 (B) 73183380 (C) 73183390 (D) 73183410 | YES | 0.9995 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: What is 9995 * 7322?
(A) 73183400 (B) 73183380 (C) 73183390 (D) 73183410 |
J1_relative_distance_000512_control | J1_strategy_appropriateness | relative_distance | control | Which is larger: 4962/9021 or 1488/2565?
(A) 4962/9021 (B) 1488/2565 (C) 3664/5620 (D) 5274/9666 | NO | 0 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 4962/9021 or 1488/2565?
(A) 4962/9021 (B) 1488/2565 (C) 3664/5620 (D) 5274/9666 |
J1_relative_distance_000508_strong_shortcut | J1_strategy_appropriateness | relative_distance | strong_shortcut | Which is larger: 1455/2966 or 1459/2910?
(A) 6428/9015 (B) 1459/2910 (C) 1455/2966 (D) 1265/4685 | YES | 0.010815 | Consider this math problem. Could you solve it significantly faster using mental math or a clever observation, compared to computing it step by step? Answer YES or NO, then explain in one sentence why.
Problem: Which is larger: 1455/2966 or 1459/2910?
(A) 6428/9015 (B) 1459/2910 (C) 1455/2966 (D) 1265/4685 |
End of preview.