seen or implied in later working. B1 Makes an attempt to find M1 Makes an attempt to use the sine rule, for example, writing Raising powers by 1 would constitute an attempt. M1 x States or implies that and A1 Shows a fully correct integral with limits. A1 NOTE: Award ft marks for correct work following incorrect values for and sin sin 120° 45° Makes an attempt to substitute the limits into their expression. For example, or is seen. M1ft Makes an attempt to solve the equation for M1ft x. Rearranges to a 3-term quadratic equation (with = 0). M1ft Possible steps could include: or or Correctly factorises the LHS: (9a 1)(a 1) = 0 or uses a valid method for solving a quadratic M1ft – – equation (can be implied by correct answers). or or or or or or o.e. A1ft Makes an attempt to rationalise the denominator by multiplying top and bottom by the conjugate. M1ft Possible steps could include: States the fully correct simplifed version for * A1* x. NOTE: Award ft marks for correct work following incorrect values for sin and sin (7 marks) 120° 45° States or implies that the formula for the area of a triangle is or or M1 M1 or . Finds the correct answer to 2 decimal places. 0.26 A1 NOTE: Exact value of area is (3 marks) If 0.26 not given, award M1M1A0 if exact value seen. Total 10 marks
seen or implied in later working. B1 Makes an attempt to use the sine rule, for example, writing M1 States or implies that and NOTE: Award ft marks for correct work following incorrect values for sin 120° and sin 45° A1 Makes an attempt to solve the equation for x. Possible steps could include: or or or or or or M1ft or or o.e. A1ft Makes an attempt to rationalise the denominator by multiplying top and bottom by the conjugate. Possible steps could include: M1ft States the fully correct simplifed version for x. * A1* NOTE: Award ft marks for correct work following incorrect values for sin 120° and sin 45° (7 marks) States or implies that the formula for the area of a triangle is or or M1 or . M1 Finds the correct answer to 2 decimal places. 0.26 A1 NOTE: Exact value of area is If 0.26 not given, award M1M1A0 if exact value seen. (3 marks) Total 10 marks Makes an attempt to find Raising x powers by 1 would constitute an attempt. M1 Shows a fully correct integral with limits. A1 Makes an attempt to substitute the limits into their expression. For example, or is seen. M1ft Rearranges to a 3-term quadratic equation (with = 0). M1ft Correctly factorises the LHS: (9a – 1)(a – 1) = 0 or uses a valid method for solving a quadratic equation (can be implied by correct answers). M1ft
19729_06_as_pure_mathematics_practice_paper_c_mark_scheme.docx