我見識到GCSE既Maths卷啦... 我覺得俾一個香港中三既學生,都一定pass到.... 對我黎講,份卷過份容易.... 其中一個test: You scored 10 out of 10 1. Write x2 + 8x + 2 in the form (x + b)2 + c You said (x + 4)2 - 14 . Well done - you remembered that 'b' was half the coefficient of x and completed the square correctly. 2. Write x2 + 3x + 1 in the form (x + b)2 + c What is the value of b? You said 3/2 . Well done - you remembered that 'b' is half the coefficient of x! 3. The equation 2x2 + 8x - 3 is to be solved by completing the square. Which of the following is a correct step in the solution: You said (x + 2)2 = 11/2 . Well done - you remembered to divide everything by 2. 4. Write 9x2 + 12x + 7 in the form (px + q) 2 + r What is the value of r? You said 3 . Well done! 5. The equation x2 + 7x - 3 = 0 is to be solved using the quadratic formula above. What are the values of a, b and c? You said a = 1, b = 7, c = -3 . Well done! 6. If the equation x = 4 - x2 is to be solved using the quadratic formula. What are the values of a, b and c? You said a = 1, b = 1, c = -4 . Well done, you rearranged the equation correctly! 7. If the equation 2x2 + 3x - 1 = 0 is to be solved using the quadratic formula. What is the value of b2 - 4ac? You said 17 . Well done, you substituted the values of a, b and c correctly! 8. The graphs of y = 3 - x2 and y = x + 1 are shown: Use the graphs to find solutions to the simultaneous equations y = 3 - x2 and y = x + 1. You said x = 1, y = 2 and x = -2, y = -1 . Well done - you found the coordinates of the points where the two lines cross! 9. What are the solutions of the simultaneous equations x2 + y2 = 4 and x = y - 2? You said x = -2, y = 0 and x = 0, y = 2 . Well done, you solved the equations correctly! 10. Eliminate 'y' from the following simultaneous equations: y = 1 - x y = x2 - 1 What quadratic equation is formed? You said x2 + x - 2 = 0 . Well done, you rearranged the equation x2 - 1 = 1 - x. [ Last edited by oscar on 2005-5-7 at 09:46 PM ] |