SAT Math Practice Test 2026 – 30 Advanced Questions (Digital SAT Format)

Question 1: If 4x – 8 = 2x + 10, what is x?

• 
  
  6
  
• 
  
  7
  
• 
  
  9
  
• 
  
  8
  

Question 2: What is the slope of a line perpendicular to y = (2/3)x + 5?

• 
  
  2/3
  
• 
  
  –3/2
  
• 
  
  3/2
  
• 
  
  –2/3
  

Question 3: A function f(x) = x² – 4x + 4. What are the roots?

• 
  
  x = 2 (double root)
  
• 
  
  x = 1 and x = 4
  
• 
  
  x = –2
  
• 
  
  x = 0 and x = 4
  

Question 4: The average of 7 numbers is 15. If one number, 9, is removed, what is the new average?

• 
  
  16
  
• 
  
  16.5
  
• 
  
  15.5
  
• 
  
  17
  

Question 5: Circle O has radius 6. What is the area of a sector with central angle 120°?

• 
  
  12π
  
• 
  
  6π
  
• 
  
  12
  
• 
  
  8π
  

Question 6: If f(x) = 3x + 2 and g(x) = x², what is f(g(3))?

• 
  
  27
  
• 
  
  29
  
• 
  
  11
  
• 
  
  83
  

Question 7: Two dice are rolled. What is the probability of rolling a sum of 7?

• 
  
  1/6
  
• 
  
  5/36
  
• 
  
  7/36
  
• 
  
  1/7
  

Question 8: A rectangle has length (x+3) and width (x–2). If area = 50, what is x?

• 
  
  7
  
• 
  
  8
  
• 
  
  6
  
• 
  
  9
  

Question 9: Which of the following represents an exponential function?

• 
  
  y = 3x + 2
  
• 
  
  y = 3x²
  
• 
  
  y = 2·3^x
  
• 
  
  y = x^3
  

Question 10: What is the solution set of |x – 3| < 5?

• 
  
  x < 8
• 
  
  –2 < x < 8
• 
  
  x > –2
  
• 
  
  All real numbers
  

Question 11: At a 30-60-90 triangle, if the short leg = 5, what is the hypotenuse?

• 
  
  10
  
• 
  
  5√3
  
• 
  
  5√2
  
• 
  
  7.5
  

Question 12: The sum of supplementary angles is 180°. If one angle is (3x+10)° and the other is (x+30)°, what is x?

• 
  
  35
  
• 
  
  32.5
  
• 
  
  40
  
• 
  
  30
  

Question 13: A store offers a 25% discount then a further 10% off the discounted price. What is the overall percentage reduction?

• 
  
  35%
  
• 
  
  32.5%
  
• 
  
  33%
  
• 
  
  30%
  

Question 14: f(x) = 2x² – 8. For what value(s) of x does f(x) = 0?

• 
  
  x = ±2
  
• 
  
  x = ±4
  
• 
  
  x = 2
  
• 
  
  x = 4
  

Question 15: A scatterplot shows a moderate positive correlation. Which r-value best represents it?

• 
  
  r = –0.85
  
• 
  
  r = 0.92
  
• 
  
  r = 0.55
  
• 
  
  r = 0.02
  

Question 16: Which expression is equivalent to (x² – 9)/(x – 3) for x ≠ 3?

• 
  
  x – 3
  
• 
  
  x + 3
  
• 
  
  x² + 3
  
• 
  
  (x–3)²
  

Question 17: A car travels 240 miles in 4 hours. At the same rate, how long to travel 390 miles?

• 
  
  6 hours
  
• 
  
  6.5 hours
  
• 
  
  7 hours
  
• 
  
  5.5 hours
  

Question 18: What is the vertex of f(x) = (x – 4)² + 7?

• 
  
  (4, 7)
  
• 
  
  (–4, 7)
  
• 
  
  (4, –7)
  
• 
  
  (7, 4)
  

Question 19: An arithmetic sequence has first term 8 and common difference 6. What is the 15th term?

• 
  
  88
  
• 
  
  92
  
• 
  
  98
  
• 
  
  86
  

Question 20: A cone has radius 3 and height 4. What is the volume? (V = ⅓πr²h)

• 
  
  12π
  
• 
  
  36π
  
• 
  
  4π
  
• 
  
  16π
  

Question 21: If 40% of a number is 28, what is 60% of the same number?

• 
  
  42
  
• 
  
  40
  
• 
  
  48
  
• 
  
  45
  

Question 22: The equation y = –2(x – 1)² + 8 opens in which direction and has vertex at:

• 
  
  Upward, (1, 8)
  
• 
  
  Downward, (1, 8)
  
• 
  
  Downward, (–1, 8)
  
• 
  
  Upward, (–1, 8)
  

Question 23: In a data set {3, 5, 7, 7, 9, 12, 14}, what is the interquartile range (IQR)?

• 
  
  7
  
• 
  
  6
  
• 
  
  5
  
• 
  
  8
  

Question 24: Two similar triangles have a scale factor of 3:5. If the smaller triangle has area 18, what is the area of the larger?

• 
  
  30
  
• 
  
  50
  
• 
  
  45
  
• 
  
  54
  

Question 25: Which system of inequalities defines the region ABOVE y = 2x – 1 and BELOW y = –x + 4?

• 
  
  y > 2x–1 and y < –x+4
• 
  
  y < 2x–1 and y > –x+4
  
• 
  
  y ≥ 2x–1 and y ≤ –x+4
  
• 
  
  y = 2x–1 and y = –x+4
  

Question 26: A line passes through (–1, 4) with slope 2. What is its y-intercept?

• 
  
  4
  
• 
  
  6
  
• 
  
  2
  
• 
  
  8
  

Question 27: Data: mean = 80, standard deviation = 5. What percentage of normally distributed data falls within one standard deviation of the mean?

• 
  
  68%
  
• 
  
  95%
  
• 
  
  99%
  
• 
  
  50%
  

Question 28: A square has a diagonal of length 10. What is the side length?

• 
  
  5√2
  
• 
  
  10√2
  
• 
  
  5
  
• 
  
  10/√2
  

Question 29: If x⁻² = (1/36), what is x?

• 
  
  6
  
• 
  
  –6
  
• 
  
  ±6
  
• 
  
  36
  

Question 30: A line of best fit predicts that for each additional study hour, test scores increase by 4 points. If a student studies 8 hours and the baseline score (0 hours) is 50, what is the predicted score?

• 
  
  72
  
• 
  
  82
  
• 
  
  80
  
• 
  
  88