Makes an attempt to begin solving the equation. For example, states that M1 Uses appropriate law of logarithms to write M1 Inverse log11 (or 11 to the) both sides. M1 Derives a 3 term quadratic equation. M1 Correctly factorisesor uses appropriate technique to solve their quadratic. M1 Solves to find A1 Understands that stating that this solution would require taking the log of a B1 negative number, which is not possible. Total: 6 marks Uses the identity to write, M1 States or implies use of the inverse tangent. M1 For example, or Shows understanding that there will be further solutions in the given range, by adding 180° to M1 30° at least once. (ignore any out of range values). Subtracts 20 and divides each answer by 3. M1 (ignore any out of range values). States the correct final answers to 1 decimal place. cao A1 Total: 6 marks Equates the components for the equation + = o.e. 2p + 6 = 4m i a b B1 mc Equates the components for the their equation + = 3p = j a b B1 mc −5 − −5m Makes an attempt to find by eliminating in some way. M1 p m For example,o.e. or o.e. = 5 A1 p (4 marks) NOTES: Alternatively, M1: attempt to eliminate first. A1: = 4 and = 5 p m p
Makes an attempt to begin solving the equation. For example, states that M1 Uses the identity to write, M1 States or implies use of the inverse tangent. For example, or M1 Shows understanding that there will be further solutions in the given range, by adding 180° to 30° at least once. (ignore any out of range values). M1 Subtracts 20 and divides each answer by 3. (ignore any out of range values). M1 States the correct final answers to 1 decimal place. cao A1 Total: 6 marks Uses appropriate law of logarithms to write M1 Inverse log11 (or 11 to the) both sides. M1 Derives a 3 term quadratic equation. M1 Correctly factorisesor uses appropriate technique to solve their quadratic. M1 Solves to find A1 Understands that stating that this solution would require taking the log of a negative number, which is not possible. B1 Total: 6 marks Equates the i components for the equation a + b = mc o.e. 2p + 6 = 4m B1 Equates the j components for the their equation a + b = mc −5 − 3p = −5m B1 Makes an attempt to find p by eliminating m in some way. For example,o.e. or o.e. M1 p = 5 A1 NOTES: Alternatively, M1: attempt to eliminate p first. A1: m = 4 and p = 5 (4 marks)
19725_02_as_pure_mathematics_practice_paper_a_mark_scheme.docx