ASTB-E Domain 1: Math Skills Test (MST) Welcome to your ASTB-E Domain 1: Math Skills Test (MST) 1. ASTB-E: Math Skills Test (MST) What is the sum of the series \( 4 + 12 + 20 + \ldots + 100 \)? A. 252 B. 504 C. 756 D. 1004 None 2. ASTB-E: Math Skills Test (MST) In a sequence, each term after the first is obtained by adding 2 to the reciprocal of the preceding term. If the first term is 1, what is the third term? A. \( \frac{5}{3} \) B. \( \frac{7}{5} \) C. \( \frac{8}{5} \) D. \( \frac{11}{7} \) None 3. ASTB-E: Math Skills Test (MST) If \(x\) is inversely proportional to \(y\), and \(x = 5\) when \(y = 3\), what is the value of \(x\) when \(y = 9\)? A. \( \frac{5}{3} \) B. \( \frac{3}{5} \) C. \( \frac{15}{9} \) D. \( \frac{9}{5} \) None 4. ASTB-E: Math Skills Test (MST) A triangle has sides of length 7, 24, and 25. What is the radius of its inscribed circle? A. 3 B. 4 C. 5 D. 6 None 5. ASTB-E: Math Skills Test (MST) The function \(f(x) = x^2 - 4x + 3\) reaches its minimum value at \(x = k\). What is the value of \(k\)? A. 1 B. 2 C. 3 D. 4 None 6. ASTB-E: Math Skills Test (MST) If \(3x - 2y = 12\) and \(4x + 3y = -9\), what is the value of \(x\)? A. -3 B. -1 C. 1 D. 3 None 7. ASTB-E: Math Skills Test (MST) In a geometric sequence, the first term is 3, and the fourth term is 24. What is the common ratio? A. 2 B. 3 C. 4 D. 5 None 8. ASTB-E: Math Skills Test (MST) If \(x\) and \(y\) are integers such that \(x^2 - y^2 = 40\), what is the smallest possible value of \(x\)? A. 5 B. 6 C. 7 D. 8 None 9. ASTB-E: Math Skills Test (MST) What is the area of a trapezoid with bases of length 8 and 14 and height 6? A. 66 B. 72 C. 84 D. 132 None 10. ASTB-E: Math Skills Test (MST) A clock shows a time of 3:15. What is the angle between the hour and the minute hands? A. 0 degrees B. 7.5 degrees C. 15 degrees D. 22.5 degrees None 11. ASTB-E: Math Skills Test (MST) What is the sum of all prime numbers less than 20? A. 41 B. 58 C. 77 D. 82 None 12. ASTB-E: Math Skills Test (MST) A rectangle has a length that is twice its width. If the diagonal measures \(10\sqrt{2}\) units, what is the area of the rectangle? A. 50 units\(^2\) B. 100 units\(^2\) C. 150 units\(^2\) D. 200 units\(^2\) None 13. ASTB-E: Math Skills Test (MST) If \(x\) satisfies the equation \(3^x + 3^{x+1} = 4 \times 3^x\), what is the value of \(x\)? A. 0 B. 1 C. 2 D. 3 None 14. ASTB-E: Math Skills Test (MST) What is the 15th term of the arithmetic sequence 3, 7, 11, ...? A. 57 B. 59 C. 61 D. 63 None 15. ASTB-E: Math Skills Test (MST) A circle has a circumference of 31.4 units. What is the approximate area of the circle? A. 50 units\(^2\) B. 78 units\(^2\) C. 100 units\(^2\) D. 314 units\(^2\) None 16. ASTB-E: Math Skills Test (MST) In an isosceles triangle, the base angles are \(45^\circ\) each. What is the length of the base if the equal sides are 10 units each? A. 5 units B. \(5\sqrt{2}\) units C. 10 units D. \(10\sqrt{2}\) units None 17. ASTB-E: Math Skills Test (MST) What is the coefficient of \(x^2\) in the expansion of \((3x - 4)^3\)? A. -72 B. -36 C. 36 D. 72 None 18. ASTB-E: Math Skills Test (MST) If the probability of an event not occurring is 0.7, what is the probability of the event occurring? A. 0.1 B. 0.3 C. 0.5 D. 0.7 None 19. ASTB-E: Math Skills Test (MST) A fair six-sided die is rolled twice. What is the probability that the sum of the two rolls is 8? A. \( \frac{1}{6} \) B. \( \frac{5}{36} \) C. \( \frac{1}{12} \) D. \( \frac{1}{9} \) None 20. ASTB-E: Math Skills Test (MST) What is the value of \(x\) in the equation \(8x - 5 = 3x + 10\)? A. 1 B. 2 C. 3 D. 5 None 1 out of 20 Time is Up! Time's up
