Math - Percentages
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Percentages: SAT Practice Questions

84 official Percentages questions (Problem Solving and Data Analysis) from the SAT Suite Question Bank. Pick any question from the list, or start with Question 1. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.

What does Percentages test on the SAT?

Percentage questions involve part-whole relationships, percent change, repeated growth or decay, and reverse percentages. Translating the wording into a multiplier prevents most errors.

Common question types

  • Find a percent of a quantity
  • Calculate percent increase or decrease
  • Recover an original value after a percentage change

Common traps

  • Using the new value as the percent-change denominator
  • Adding repeated percentage changes instead of multiplying factors
  • Confusing percentage points with percent change

Difficulty distribution

Start with the easier questions, then work toward the highest score bands.

Easy
28
Medium
22
Hard
34
Extreme
0

Start here

How do I improve at Percentages?

  1. 1Identify the original whole before calculating.
  2. 2Convert an increase or decrease into a multiplier such as 1.12 or 0.88.
  3. 3Estimate the direction and size of the result as a reasonableness check.

Desmos method

Use direct numeric expressions for percent calculations or define a multiplier model. For repeated change, graph or evaluate y = initial(1 + r)^x.

All 84 official questions

In the same order as the list on the left. Each one opens in practice mode.

  1. Q1Medium
  2. Q2Hard
  3. Q3Hard
  4. Q4Easy
  5. Q5Medium
  6. Q6Hard
  7. Q7Medium
  8. Q8Easy
  9. Q9Easy
  10. Q10Hard
  11. Q11Easy
  12. Q12Hard
  13. Q13Hard
  14. Q14Hard
  15. Q15Easy
  16. Q16Easy
  17. Q17Easy
  18. Q18Hard
  19. Q19Easy
  20. Q20Hard
  21. Q21Easy
  22. Q22Hard
  23. Q23Easy
  24. Q24Hard
  25. Q25Easy
  26. Q26Hard
  27. Q27Hard
  28. Q28Easy
  29. Q29Hard
  30. Q30Hard
  31. Q31Hard
  32. Q32Medium
  33. Q33Easy
  34. Q34Hard
  35. Q35Hard
  36. Q36Medium
  37. Q37Hard
  38. Q38Hard
  39. Q39Hard
  40. Q40Easy
  41. Q41Hard
  42. Q42Medium
  43. Q43Easy
  44. Q44Easy
  45. Q45Easy
  46. Q46Medium
  47. Q47Medium
  48. Q48Easy
  49. Q49Medium
  50. Q50Hard
  51. Q51Hard
  52. Q52Easy
  53. Q53Easy
  54. Q54Medium
  55. Q55Hard
  56. Q56Hard
  57. Q57Medium
  58. Q58Medium
  59. Q59Easy
  60. Q60Easy
  61. Q61Medium
  62. Q62Hard
  63. Q63Medium
  64. Q64Hard
  65. Q65Hard
  66. Q66Easy
  67. Q67Hard
  68. Q68Hard
  69. Q69Easy
  70. Q70Medium
  71. Q71Hard
  72. Q72Medium
  73. Q73Hard
  74. Q74Medium
  75. Q75Easy
  76. Q76Easy
  77. Q77Medium
  78. Q78Medium
  79. Q79Medium
  80. Q80Medium
  81. Q81Hard
  82. Q82Medium
  83. Q83Easy
  84. Q84Easy

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