SAT Exam Math – Calculator- Difficult By Jane Eastwood | 1. A bike path is in the shape of a circle with circumference 250 meters. Find the radius of the path. A) 25π B) 50π C) 75π D) 100π The correct answer is A. Use the circumference formula C=2πr to solve for r. 2. A survey found that 60% of respondents eat breakfast daily. If the total number of respondents was 300, how many do not eat breakfast daily? A) 120 B) 150 C) 240 D) 300 The correct answer is C. 60% of 300 is 0.6 * 300 = 180 eat breakfast. So 300 – 180 = 120 don’t. 3. Evaluate: lim_(x->4) (√x – 2) / (x – 4) A) 0 B) 1/4 C) 1/2 D) undefined The correct answer is B. Use L’Hospital’s rule to evaluate the indeterminate form. 4. If tan(x) = 5/12, find the exact value of x in radians. A) π/6 B) π/4 C) π/3 D) π/5 The correct answer is A. Take the inverse tangent of both sides. 5. Simplify: (3x – y)(2x + y) A) 6×2 – y2 B) 6×2 + xy C) 5×2 – y2 D) 5×2 + xy The correct answer is A. Use the distributive property and combine like terms. 6. A rectangular field is 30m long and 25m wide. A circular pond with diameter 14m is in the field. Find the area of the remaining land. A) 700π m2 B) 750π m2 C) 800π m2 D) 850π m2 The correct answer is B. Find the area of field, pond, and remaining land. 7. f(x) = x3 – 5x. Find f'(3) A) 24 B) 27 C) 30 D) 33 The correct answer is B. Take the derivative of f(x) and evaluate it at x=3. 8. Simplify: log(8×4/2x) A) 2log(x) + 3 B) 2log(x) + 2 C) log(x) + 2 D) log(x) + 3 The correct answer is B. Use log properties and simplify the expression. 9. A bag contains 5 red balls and x blue balls. If the probability of randomly selecting a red ball is 5/12, what is the value of x? A) 7 B) 10 C) 12 D) 15 The correct answer is A. Set up equations for total balls and probability and solve the system of equations. 10. If 3x – 2 = 5x/2, what is the value of x? A) -4 B) -2 C) 2 D) 4 The correct answer is A. Isolate the x terms and solve the resulting equation. Loading … Posted in Other
