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. The length of a rectangular plot of land exceeds the width by 7m. If the area of the plot is 198m² , the length is 24 m 27 m 18 m 21 m 2. If z ∝ 1/y² and z = 4 when y = 3, find the value of z when y = 2 3 9 18 1 3. Solve the following inequality:1/3 (2y -1) < 5 y < -5 y < 8 y < 7 y < -6 4. One of the roots of the equation x² + kx - 15 = 0 is 3. The value of K is 5 -5 2 -2 5. Solve the inequality:3x + 3 > 9 x > 3 x > 4 x > 2 x > 6 6. For what range of values of y is 1/y > 2 ? 0 < y < 1/2 1 < y < 2 y < 1/2 y 1/2 7. The values of p and q in the G.P 10, p, q, -5/4 are respectively -5, 5/2 5, -5/2 -5/2, 5 5/2, -5 8. If a² - 8a + k is a perfect square, the value of k is 4 2 16 8 9. The 23rd term of the sequence 4, 7, 10, ... is 67 70 73 92 10. A G.P has a common ratio of 3.If the difference between the 1st term and 5th term is 160, the 5th term is 160 180 120 162 11. Five years ago, a father was four times as old as his son. In five years time the father will be twice as old as the son. If x and y are the present ages of the father and the son respectively, the equations relating x and y are: 4y - x = 15; x - 2y = 5 4y - x = 0; x- 2y = 0 x - 4y = 15; y - 2x = 5 4y - x = 25; x - 2y = 5 12. Find all real numbers n for which 1/3 (n+1) - 1 > 1/5 (n+4) n < 11 n < 6 n > 11 n < -1 13. 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? £7 £10 £8 £6 14. Find the value of x for which 3^{2x} + 6(3^{x}) = 27 1 -1 3 -3 15. The 1st and the 11th terms of an A.P. are -5 and 20 respectively. The common difference is 3 5/2 5 4 16. Find the sum to infinity of the series 1 + 7/10 + (7/10)² + (7/10)³ + ... 10/3 27/10 7 5 17. Simplify : 8a - 3(2a - 3b) 2a + 9b 2a + 3b 5a - 9b 2a - 9b 18. The 11th term of the A.P 15, 9, 3, -3, ... is 75 51 -51 -45 19. Evaluate: (xy² - yz²) (x²z - xyz) when x = 2, y = -2 and z = -½ -34 0 -30 -28 20. The sum of the first n terms of a sequence is given by Sn = n². The nth term of the sequence is 1 - 2n 2n + 3 2n + 1 2n - 1 21. Factorize: 9 - (a²-3a-1)² -(a-2)(a+1)(a+2)(a+4) -(a-4)(a+1)(a-1)(a-2) (a-4)(a-2)(a-1)(a+1) (a-4)(a-3)(a-2)(a+1) 22. Q is jointly proportional to the cube of X and the fourth power of Y. If X is halved and Y is doubled, then the value of Q is decreased in the ratio 4 : 1 left unchanged increased in the ratio 1 : 2 increased in the ratio 1 : 4 23. The nth term of the A.P 10, 3, -4, ... is 17 - 7n 16 - 7n 18 - 7n 18 + 7n 24. What must be added to the expression y² - 18y to make it a perfect square? 2 9 81 36 25. 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 18/5 5/2 5/4 1 out of 25 Time is Up! Time's up