Please, fill out the information below to continue. Note: This is a sample test, and you can only take it for a limited period, after which you will be required to subscribe to a plan NAME EMAIL PHONE NUMBER 1. P is directly proportional to M and inversely proportional to N. If P = 9 when M = 24 and N = 8, find the value of P when M = 5 and N = 6 11 5/4 18/5 5/2 None 2. If a² - 8a + k is a perfect square, the value of k is 4 2 8 16 None 3. Find the sum to infinity of the sequence 3, 2, 4/3, 8/9 , ... 8 10 18 9 None 4. If z ∝ 1/y² and z = 4 when y = 3, find the value of z when y = 2 18 1 9 3 None 5. For what range of values of y is y - 1 > 4(y + 2)? y > -3 2 < y < 3 y < -3 -3 < y < -2 None 6. The length of a rectangle exceeds its width by 2cm. If the area of the rectangle is 80cm², the length of the rectangle is 16 cm 8 cm 10 cm 5 cm None 7. The roots of the equation ay² + by + c = 0 are 1/2 and -3. The values of a, b and c are, respectively 2, -5, -3 1, 5, 3 2, 5, -3 2, 5, 3 None 8. The first term of an AP is -1 and the common difference is 0.5. The 6th term is 2.5 1.5 0.5 1.0 None 9. Solve the equations4m - 3 = 3m + n = 2n + 5m - 12 m = 5, n = 2 m = 5, n = -2 m = -2, n = -5 m = 2, n = 5 None 10. Solve the inequality 12y² < y + 1 1/4 < y < 1/3 -1/3 < y < 1/4 - 1/4 < y < -1/3 -1/4 < y < 1/3 None 11. If (x - 3) < x/3,then x is x < 9/2 x > -9 x < 3 x < 9 None 12. If 4/3, m, 1, n form a G.P, the product of m and n is 4/3 3/4 9/16 1 None 13. The nth term of the A.P 10, 3, -4, ... is 18 - 7n 18 + 7n 17 - 7n 16 - 7n None 14. Solve the inequality:18 < x² - 3x x < -3 or x < 6 -3 < x < 6 x 6 x > -3 or x > 6 None 15. Solve the equation: 6z² - 7z - 5 = 0 z = 1/2 or -5/2 z = 1/3 or 5/2 z = -5/3 or 1/2 z = 5/3 or -1/2 None 16. The real numbers m which satisfy the inequality (3/5)m + 3 > (2/3 )m - 4 are (m : m > 105) (m : m < 7) (m : m > 7) (m : m < 105) None 17. What is the least possible value of 9/(1 + 2y²) if 0 ≤ y ≤ 2? 2 9 1 0 None 18. Given that the quadratic expression 3m² - 7m + K is a perfect square, the value of K is 49/24 49/4 49/36 49/12 None 19. Given that a+b = 3/2 and a-b = 5/2, the value of 2b + a is -2 2/3 1 1/2 None 20. The values of p and q in the G.P 10, p, q, -5/4 are respectively 5, -5/2 -5/2, 5 5/2, -5 -5, 5/2 None 21. Simplify : 8a - 3(2a - 3b) 5a - 9b 2a - 9b 2a + 3b 2a + 9b None 22. The sum of the first five terms of the G.P 3, -6, 12, is 33 93 31 -33 None 23. Factorize the expression:x(p-q) + y(q-p) (p-q)(y-x) (p+q)(x+y) (p+q)(x-y) (p-q)(x-y) None 24. Solve the equation:(log_{3}a) – 6log_{3}a + 9 = 0 18 27 9 81 None 25. Factorize: a² + 4a - 192 (a-4)(a+48) (a-48)(a+4) (a-12)(a+16) (a-12)(a-16) None 1 out of 25 Time's upTime is Up!