Manage Questions in PSAT Math Test- Calculator By Jane Eastwood | 1. Solve for x: 2x + 3 = 15 A) 5 B) 6 C) 7 D) 8 Correct: A Explanation: Subtract 3 from both sides then divide both sides by 2. 2. Simplify: √16 A) 4 B) 8 C) 16 D) 32 Correct: A Explanation: √16 = 4 3. Evaluate: 2^3 A) 4 B) 6 C) 8 D) 16 Correct: D Explanation: 2^3 = 2 x 2 x 2 = 8 4. What is the value of tan(45°)? A) 0 B) 1 C) √2 D) 2 Correct: B Explanation: tan(45°) = 1 5. 50% of 80 is what number? A) 30 B) 35 C) 40 D) 45 Correct: C Explanation: 50% of 80 is 0.5 * 80 = 40 6. If log_5 x = a, what is x in terms of a? A) 5^a B) 5a C) a^5 D) √a Correct: A Explanation: Using properties of logarithms, x = 5^a. 7. Evaluate: ∫_0^5 x^2 dx A) 25/3 B) 50 C) 75 D) 100 Correct: A Explanation: Use the formula for a definite integral of x^n from 0 to b: b^(n+1)/(n+1). 8. A ladder 10 feet long reaches the top of a fence and base of ladder if on the ground is 3 feet from the base of the fence. How tall is the fence? A) 7 feet B) 8 feet C) 9 feet D) 10 feet Correct: C Explanation: Use Pythagorean theorem on the right triangle formed. 9. An acute angle θ satisfies the equation tan θ = (√3 – 1)/2. What is the measure of θ in degrees? A) 30° B) 45° C) 60° D) 90° Correct: A Explanation: Recognize tan 30° = (√3 – 1)/2. 10. The base of a triangle is increasing at a rate of 10 inches/second and its height is increasing at a rate of 15 inches/second. At what rate is the area increasing when the base is 16 inches and height is 12 inches? A) 160 in^2/s B) 192 in^2/s C) 240 in^2/s D) 288 in^2/s Correct: C Explanation: Use derivative rules and the formula for area of a triangle. Loading … Posted in Other
