# 100 Hard SAT Math Questions with Video Explanations | 1600.now Source: https://1600.now/hard --- ## 100 Hard Math These 100 questions focus on the hardest SAT Math skills, including the problems that often appear late in a module. ### What makes these questions hard Every question here targets the 700+ scoring range — the kind of problem the SAT saves for positions 17-22 of a math module. Most of them stack two or three skills in a single prompt: a quadratic hidden inside a function translation, an exponent rule buried in a percent-change setup. You can know each skill on its own and still stall when they combine. The set covers the topics the hardest slots draw from most often — quadratics and their vertices, exponential functions, systems with no or infinitely many solutions, circles, trigonometry, and volume. Many answers are constants you have to solve for rather than clean multiple-choice picks, which is exactly how the real test raises the ceiling. ### How to use the video explanations Each question has its own video walkthrough. Make a real attempt on paper before checking anything, then watch the video whether you got it right or not — the method shown is often faster than the one that worked for you. If you missed a question, redo it from scratch a few days later instead of rewatching. ### All 100 questions 1. [1 Quadratic functions Free response · Video explanation](https://1600.now/hard/1) 2. [2 Trigonometry & angles Free response · Video explanation](https://1600.now/hard/2) 3. [3 Functions Multiple choice · Video explanation](https://1600.now/hard/3) 4. [4 Systems of equations Multiple choice · Video explanation](https://1600.now/hard/4) 5. [5 Functions Multiple choice · Video explanation](https://1600.now/hard/5) 6. [6 Percents & ratios Multiple choice · Video explanation](https://1600.now/hard/6) 7. [7 Exponential functions Free response · Video explanation](https://1600.now/hard/7) 8. [8 Volume & surface area Free response · Video explanation](https://1600.now/hard/8) 9. [9 Functions Multiple choice · Video explanation](https://1600.now/hard/9) 10. [10 Quadratic functions Free response · Video explanation](https://1600.now/hard/10) 11. [11 Geometry Free response · Video explanation](https://1600.now/hard/11) 12. [12 Geometry Multiple choice · Video explanation](https://1600.now/hard/12) 13. [13 Systems of equations Multiple choice · Video explanation](https://1600.now/hard/13) 14. [14 Trigonometry & angles Multiple choice · Video explanation](https://1600.now/hard/14) 15. [15 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/15) 16. [16 Systems of equations Free response · Video explanation](https://1600.now/hard/16) 17. [17 Circles Multiple choice · Video explanation](https://1600.now/hard/17) 18. [18 Geometry Multiple choice · Video explanation](https://1600.now/hard/18) 19. [19 Circles Free response · Video explanation](https://1600.now/hard/19) 20. [20 Volume & surface area Free response · Video explanation](https://1600.now/hard/20) 21. [21 Volume & surface area Multiple choice · Video explanation](https://1600.now/hard/21) 22. [22 Geometry Multiple choice · Video explanation](https://1600.now/hard/22) 23. [23 Statistics & probability Multiple choice · Video explanation](https://1600.now/hard/23) 24. [24 Exponential functions Free response · Video explanation](https://1600.now/hard/24) 25. [25 Percents & ratios Free response · Video explanation](https://1600.now/hard/25) 26. [26 Exponential functions Free response · Video explanation](https://1600.now/hard/26) 27. [27 Systems of equations Free response · Video explanation](https://1600.now/hard/27) 28. [28 Percents & ratios Multiple choice · Video explanation](https://1600.now/hard/28) 29. [29 Percents & ratios Free response · Video explanation](https://1600.now/hard/29) 30. [30 Trigonometry & angles Multiple choice · Video explanation](https://1600.now/hard/30) 31. [31 Quadratic functions Free response · Video explanation](https://1600.now/hard/31) 32. [32 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/32) 33. [33 Statistics & probability Multiple choice · Video explanation](https://1600.now/hard/33) 34. [34 Exponential functions Multiple choice · Video explanation](https://1600.now/hard/34) 35. [35 Percents & ratios Free response · Video explanation](https://1600.now/hard/35) 36. [36 Exponential functions Multiple choice · Video explanation](https://1600.now/hard/36) 37. [37 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/37) 38. [38 Statistics & probability Free response · Video explanation](https://1600.now/hard/38) 39. [39 Advanced algebra Free response · Video explanation](https://1600.now/hard/39) 40. [40 Percents & ratios Free response · Video explanation](https://1600.now/hard/40) 41. [41 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/41) 42. [42 Quadratic functions Multiple choice · Video explanation](https://1600.now/hard/42) 43. [43 Quadratic functions Free response · Video explanation](https://1600.now/hard/43) 44. [44 Volume & surface area Multiple choice · Video explanation](https://1600.now/hard/44) 45. [45 Exponential functions Free response · Video explanation](https://1600.now/hard/45) 46. [46 Quadratic functions Multiple choice · Video explanation](https://1600.now/hard/46) 47. [47 Statistics & probability Free response · Video explanation](https://1600.now/hard/47) 48. [48 Functions Free response · Video explanation](https://1600.now/hard/48) 49. [49 Geometry Free response · Video explanation](https://1600.now/hard/49) 50. [50 Functions Free response · Video explanation](https://1600.now/hard/50) 51. [51 Circles Multiple choice · Video explanation](https://1600.now/hard/51) 52. [52 Quadratic functions Multiple choice · Video explanation](https://1600.now/hard/52) 53. [53 Geometry Multiple choice · Video explanation](https://1600.now/hard/53) 54. [54 Volume & surface area Multiple choice · Video explanation](https://1600.now/hard/54) 55. [55 Trigonometry & angles Multiple choice · Video explanation](https://1600.now/hard/55) 56. [56 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/56) 57. [57 Trigonometry & angles Multiple choice · Video explanation](https://1600.now/hard/57) 58. [58 Percents & ratios Free response · Video explanation](https://1600.now/hard/58) 59. [59 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/59) 60. [60 Quadratic functions Free response · Video explanation](https://1600.now/hard/60) 61. [61 Quadratic functions Free response · Video explanation](https://1600.now/hard/61) 62. [62 Advanced algebra Free response · Video explanation](https://1600.now/hard/62) 63. [63 Quadratic functions Multiple choice · Video explanation](https://1600.now/hard/63) 64. [64 Quadratic functions Free response · Video explanation](https://1600.now/hard/64) 65. [65 Volume & surface area Free response · Video explanation](https://1600.now/hard/65) 66. [66 Geometry Free response · Video explanation](https://1600.now/hard/66) 67. [67 Statistics & probability Free response · Video explanation](https://1600.now/hard/67) 68. [68 Volume & surface area Free response · Video explanation](https://1600.now/hard/68) 69. [69 Circles Multiple choice · Video explanation](https://1600.now/hard/69) 70. [70 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/70) 71. [71 Geometry Multiple choice · Video explanation](https://1600.now/hard/71) 72. [72 Geometry Free response · Video explanation](https://1600.now/hard/72) 73. [73 Volume & surface area Multiple choice · Video explanation](https://1600.now/hard/73) 74. [74 Circles Multiple choice · Video explanation](https://1600.now/hard/74) 75. [75 Exponential functions Multiple choice · Video explanation](https://1600.now/hard/75) 76. [76 Advanced algebra Free response · Video explanation](https://1600.now/hard/76) 77. [77 Exponential functions Free response · Video explanation](https://1600.now/hard/77) 78. [78 Exponential functions Multiple choice · Video explanation](https://1600.now/hard/78) 79. [79 Quadratic functions Free response · Video explanation](https://1600.now/hard/79) 80. [80 Geometry Multiple choice · Video explanation](https://1600.now/hard/80) 81. [81 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/81) 82. [82 Geometry Free response · Video explanation](https://1600.now/hard/82) 83. [83 Quadratic functions Free response · Video explanation](https://1600.now/hard/83) 84. [84 Percents & ratios Free response · Video explanation](https://1600.now/hard/84) 85. [85 Circles Free response · Video explanation](https://1600.now/hard/85) 86. [86 Exponential functions Multiple choice · Video explanation](https://1600.now/hard/86) 87. [87 Quadratic functions Multiple choice · Video explanation](https://1600.now/hard/87) 88. [88 Functions Free response · Video explanation](https://1600.now/hard/88) 89. [89 Systems of equations Multiple choice · Video explanation](https://1600.now/hard/89) 90. [90 Statistics & probability Multiple choice · Video explanation](https://1600.now/hard/90) 91. [91 Statistics & probability Multiple choice · Video explanation](https://1600.now/hard/91) 92. [92 Trigonometry & angles Multiple choice · Video explanation](https://1600.now/hard/92) 93. [93 Advanced algebra Multiple choice · Video explanation](https://1600.now/hard/93) 94. [94 Circles Multiple choice · Video explanation](https://1600.now/hard/94) 95. [95 Volume & surface area Free response · Video explanation](https://1600.now/hard/95) 96. [96 Statistics & probability Multiple choice · Video explanation](https://1600.now/hard/96) 97. [97 Exponential functions Multiple choice · Video explanation](https://1600.now/hard/97) 98. [98 Quadratic functions Multiple choice · Video explanation](https://1600.now/hard/98) 99. [99 Circles Multiple choice · Video explanation](https://1600.now/hard/99) 100. [100 Quadratic functions Free response · Video explanation](https://1600.now/hard/100)