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SAT Math Practice (Medium–Hard): Geometry & Data Analysis (With Solutions)

This set focuses on geometry and data analysis—two areas where careful setup and clean algebra can earn quick points.

Question 1

A circle has radius 6. What is its area?

  • A. 12π

  • B. 18π

  • C. 36π

  • D. 72π

Step-by-step solution

Use the area formula A = πr^2.

Substitute r = 6: A = π(6^2) = 36π.

Final answer: 36π

Question 2

The mean of 5 numbers is 12. If four of the numbers are 10, 11, 12, and 15, what is the fifth number?

  • A. 10

  • B. 11

  • C. 12

  • D. 13

Step-by-step solution

Mean = (sum of numbers)/(count).

So total sum = 12 × 5 = 60.

Sum of the four known numbers = 10 + 11 + 12 + 15 = 48.

Fifth number = 60 − 48 = 12.

Final answer: 12

Question 3

A line passes through (2, 5) and (6, 13). What is the slope of the line?

  • A. 1

  • B. 2

  • C. 3

  • D. 4

Step-by-step solution

Slope m = (y2 − y1)/(x2 − x1).

m = (13 − 5)/(6 − 2) = 8/4 = 2.

Final answer: 2

Want me to generate a full 20-question SAT Math mini-test (medium–hard) with solutions? I can publish it as the next post.

 
 
 

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