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Introduction
1. CLT Quantitative Reasoning: Tools and Strategies
1.1 The UnCLES Method for CLT Math
1.2 Math Formula Sheet
2. Math Reasoning
3. Geometry
4. Algebra
5. Grammar & Writing: Intro and Passage Types
6. Grammar & Writing: Question Types
7. Verbal Reasoning
Wrapping Up
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1.2 Math Formula Sheet
Achievable CLT
1. CLT Quantitative Reasoning: Tools and Strategies

Math Formula Sheet

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Although the CLT provides a generous list of formulas accessible on test day, there are quite a few relevant formulas, properties, and strategies not included on that list. The Achievable course formula sheet provides a comprehensive list, with explanations where necessary, of any concept that occurs at least an average of once per practice test on the CLT. The last page of this sheet simply repeats the formulas provided by CLT on test day; we include it here so you can compare and contrast the formulas included on the test with those that aren’t.

We highly recommend making physical flashcards to memorize these formulas and concepts, as research and experience suggest that writing down the information and interacting physically with the cards provides the best retention. But if you prefer online flashcard sites such as Quizlet, please use those; the format that feels most accessible to you is the one that is likely to work best.

If you do use physical flashcards, we recommend the “Leitner Box” method, which separates the cards into four or five boxes, ranging from boxes labeled Every Day to a box with some lesser frequency such as Every Week or Every Other Week. When you answer a card correctly, move it toward the “less frequent” box. When you answer a card incorrectly, move it toward the “more frequent” box. The formulas that stump you the most should remain in the Every Day box until you begin gaining consistent traction with them.

If you apply yourself faithfully to retaining these formulas in your working memory, you will see significant fruit of your labors on the Quantitative section!

Download: Achievable Math Formula Sheet

Math reasoning formula chart

Algebra formula chart

Algebra, continued formula chart

Geometry formula chart

Formulas provided on the CLT formula chart

Formula Memorization Strategies

  • Physical flashcards recommended for retention
  • Leitner Box method: organize cards by review frequency
    • Move cards between boxes based on mastery
  • Online flashcard tools (e.g., Quizlet) are acceptable alternatives

Achievable Math Formula Sheet

  • Comprehensive list: includes all formulas likely to appear on CLT
  • Contains explanations for less obvious concepts
  • Last page: formulas officially provided by CLT for test day
  • Compare Achievable list with CLT-provided formulas to identify gaps

Retention and Practice

  • Consistent review of challenging formulas increases recall
  • Focus on formulas not provided on test day
  • Regular practice leads to improved Quantitative section performance
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Math Formula Sheet

Although the CLT provides a generous list of formulas accessible on test day, there are quite a few relevant formulas, properties, and strategies not included on that list. The Achievable course formula sheet provides a comprehensive list, with explanations where necessary, of any concept that occurs at least an average of once per practice test on the CLT. The last page of this sheet simply repeats the formulas provided by CLT on test day; we include it here so you can compare and contrast the formulas included on the test with those that aren’t.

We highly recommend making physical flashcards to memorize these formulas and concepts, as research and experience suggest that writing down the information and interacting physically with the cards provides the best retention. But if you prefer online flashcard sites such as Quizlet, please use those; the format that feels most accessible to you is the one that is likely to work best.

If you do use physical flashcards, we recommend the “Leitner Box” method, which separates the cards into four or five boxes, ranging from boxes labeled Every Day to a box with some lesser frequency such as Every Week or Every Other Week. When you answer a card correctly, move it toward the “less frequent” box. When you answer a card incorrectly, move it toward the “more frequent” box. The formulas that stump you the most should remain in the Every Day box until you begin gaining consistent traction with them.

If you apply yourself faithfully to retaining these formulas in your working memory, you will see significant fruit of your labors on the Quantitative section!

Download: Achievable Math Formula Sheet

Math reasoning formula chart

Algebra formula chart

Algebra, continued formula chart

Geometry formula chart

Formulas provided on the CLT formula chart

Key points

Formula Memorization Strategies

  • Physical flashcards recommended for retention
  • Leitner Box method: organize cards by review frequency
    • Move cards between boxes based on mastery
  • Online flashcard tools (e.g., Quizlet) are acceptable alternatives

Achievable Math Formula Sheet

  • Comprehensive list: includes all formulas likely to appear on CLT
  • Contains explanations for less obvious concepts
  • Last page: formulas officially provided by CLT for test day
  • Compare Achievable list with CLT-provided formulas to identify gaps

Retention and Practice

  • Consistent review of challenging formulas increases recall
  • Focus on formulas not provided on test day
  • Regular practice leads to improved Quantitative section performance