Mathematics A Unit C Higher A503/02 - Mark Scheme

416 (a) Circle, centre O, radius 5Straight line, +ve gradient,crosses y-axis at 1(b) x 2 + (x + 1) 2 = 25x 2 + 2x + 12x 2 + 2x – 24 = 0 or better(x + 4)(x– 3) (=0) or equivalentx = − 4 and 3( − 4, − 3) and (3, 4)17 π × 5 2 × 184 × π × 233their 1413·7 ÷ their 33·542·(…)421819 (a)(b)2×'60'Using soi'12'2 × 65oe11.511.32× 55oe12.58.811M1B1A1A1A1B111M1A11M1M1A1M1A1Eg x 2 + x – 12 = 0Eg (2x + 8)(x – 3) or (x + 4)(2x – 6)soi by 1413·7soi by 33·527 2 2 3oe 4 M1 for × ×605 3 43 1 3And M1 for × ×5 3 43 2 1And M1 for × ×5 3 4After 0 scoredSC1 for sight of two of12 3 1oe 3 M2 for ×605 33 1 1Or M1 for × ×5 3 43 1 3And M1 for × ×5 3 43 2 3, ,5 3 4SPECIMEN