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. Factorize: 9 - (a²-3a-1)² (a-4)(a-2)(a-1)(a+1) -(a-4)(a+1)(a-1)(a-2) (a-4)(a-3)(a-2)(a+1) -(a-2)(a+1)(a+2)(a+4) 2. What must be added to the expression y² - 18y to make it a perfect square? 36 9 2 81 3. Solve the equation:(a-7) (a+2) = 0 a = -1 or 8 a = -4 or 5 a = -2 or 7 a = 2 or -7 4. What is the common factor to the binomial expressions 4x²-9y², 8x³+27y³ and (4x+6y)² ? 2x+3y 4x+6y 4x-6y 2x-3y 5. The first term of an A.P. is equal to one-half the common difference, d. The 8th term of the A.P is 6d 4d (13/2)d (15/2)d 6. Solve the equation:5x² = 3x x = 3 or 5 x = 0 or 3 x = 0 or 5 x = 0 or 3/5 7. One of the roots of the equation:x² + 9 = 0 none of these 3 -9 -3 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 - 1 2n + 3 9. The following are factors of 2x² - 2 except x+1 2x+1 2x-2 x-1 10. The 11th term of the A.P 15, 9, 3, -3, ... is 51 -51 75 -45 11. What is the least possible value of 9 / (1 + 2y²) if 0 ≤ y ≤ 2 ? 1 9 2 0 12. 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 £8 £6 £7 13. The first term of an AP is -1 and the common difference is 0.5. The 6th term is 0.5 2.5 1.5 1.0 14. Factorize the expression:x(p-q) + y(q-p) (p+q)(x+y) (p-q)(x-y) (p-q)(y-x) (p+q)(x-y) 15. The 1st and the 11th terms of an A.P. are -5 and 20 respectively. The common difference is 5/2 4 3 5 16. One of the roots of the equation: 6y² = 5 - 7y is -1/3 5/3 1/2 -1/2 17. If y = (2/3)x + 1 andz = (2/3) y + 1, then the value of z when x = 66 is 61 31 31/2 21 18. One of the roots of the equation x² + kx - 15 = 0 is 3. The value of K is 2 -2 5 -5 19. Solve the following inequality:1/3 (2y -1) < 5 y < 8 y < -6 y < 7 y < -5 20. Given that the quadratic expression 3m² - 7m + K is a perfect square, the value of K is 49/12 49/4 49/24 49/36 21. The values of p and q in the G.P 10, p, q, -5/4 are respectively 5/2, -5 5, -5/2 -5/2, 5 -5, 5/2 22. 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 120 160 180 162 23. Solve the inequality:18 < x² - 3x -3 < x < 6 x < -3 or x < 6 x 6 x > -3 or x > 6 24. For what range of values of y is y - 1 > 4(y + 2)? 2 < y < 3 -3 < y < -2 y < -3 y > -3 25. Which of the following is a root of the equationy² + 6y = 0 ? 1 3 2 0 1 out of 25 Time is Up! Time's up