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. If 4/3, m, 1, n form a G.P, the product of m and n is 9/16 4/3 1 3/4 2. Factorize: 5x²+2ax-3a² (5x+a)(x-3a) (5x-a)(x+3a) (x+a)(5x-3a) (x-a)(5x+3a) 3. If a = 2 and b = 3, solve for y in the equation a/(a-y) = b/(y-b) 12 2/3 7/3 12/5 4. Simplify : 8a - 3(2a - 3b) 2a - 9b 5a - 9b 2a + 3b 2a + 9b 5. Evaluate: (xy² - yz²) (x²z - xyz) when x = 2, y = -2 and z = -½ -34 -28 0 -30 6. The sum of the ages of a father and his daughter is 85 years. Five years ago, the father was exactly four times as old as his daughter. The present age of the father is 61 yr. 53 yr. 65 yr. 57 yr. 7. Given that a+b = 3/2 and a-b = 5/2, the value of 2b + a is -2 1 2/3 1/2 8. The sum of the first n terms of a sequence is given by Sn = n². The nth term of the sequence is 2n - 1 1 - 2n 2n + 3 2n + 1 9. Solve the equation: 6z² - 7z - 5 = 0 z = 1/2 or -5/2 z = 5/3 or -1/2 z = 1/3 or 5/2 z = -5/3 or 1/2 10. When the price of eggs was raised by £2 an egg, the number of eggs which can be bought by Tara for £120 is reduced by 5. What is the present price that Tara would buy an egg? £10 £6 £8 £7 11. The common ratio in the G.P log 2, log 4, log 16, ... is 4 3 2 log 2 12. Given that A varies inversely as B, and B varies directly as the square of C, and A = 1 when C = 3, find the value of A when C = 1/3 1/9 27 81 1/27 13. The largest root of the equation (x - 1)² = 4x - 7 is 6 4 2 7 14. Solve the inequality:3x + 3 > 9 x > 4 x > 2 x > 3 x > 6 15. The seventh term of the G.P 16/9, -8/3, 4, ... is -32/3 16 -9/2 81/4 16. If y = (2/3)x + 1 andz = (2/3) y + 1, then the value of z when x = 66 is 61 31/2 31 21 17. If 4x - 2 = 3x -5, the value of 7x is 7 -21 -49 -3 18. The integral values of z which satisfy the inequalitiy -1 < 2z - 5 ≤ 5 are 2, 5 3, 4, 5 2, 3, 4 2, 3, 4, 5 19. Given that a² + b² + c² = 50 and a = 5, √b = 2, find c 3 4.2 2 5.7 20. A mother is now twice as old as her daughter. Ten years ago the mother was four times as old as her daughter. The present ages of the daughter and the mother are, respectively 20, 40 15, 30 25, 50 30, 60 21. Find all real numbers n for which 1/3 (n+1) - 1 > 1/5 (n+4) n < 6 n > 11 n < 11 n < -1 22. Factorize: a² + 4a - 192 (a-4)(a+48) (a-12)(a-16) (a-12)(a+16) (a-48)(a+4) 23. The 5th and 10th terms of an A.P are 0 and 10 respectively. the 20th is 36 20 40 30 24. Find the value of x for which 3^{2x} + 6(3^{x}) = 27 -3 1 -1 3 25. A motorist drove a distance of 90km at constant speed for the first 40km and then drove 20km/hr faster for the rest of the journey. If the whole journey took him one hour, his average speed for the first 40km was 70 km/hr 40 km/hr 60 km/hr 80 km/hr 1 out of 25 Time is Up! Time's up