(b) Explanation C1 No with statement about not being mutually exclusive events eg a person could be in both categories Paper: 1MA1/3F Question Working Answer Mark Notes 18 68 P1 for a process to find the number of vanilla cakes, eg 420 × 2 ÷ 7 oe (= 120) P1 for a process to find the number of banana eg 420 × 0.35 oe (= 147) P1 (dep P1) for a full process to find the number of lemon/chocolate cakes eg 420 (vanilla cakes) (banana cakes) (= 153) – – P1 (dep on previous P1) for a process to find the number of lemon cakes eg ÷ 9 × 4 oe (= 68) “153” A1 cao OR P1 for writing two proportions in the same format P1 for combining the proportions of vanilla and banana cakes eg 2/7 + 7/20 (= 89/140) P1 (dep P1) for a full process to find the proportion or number of lemon/chocolate cakes eg 1 (= 51/140) – “89/140” P1 (dep on previous P1) for a process to find the number of lemon cakes eg × 420 ÷ 9 × 4 (= 68) “51/140” A1 cao 19 polygon is a M1 for a complete method to find the interior or exterior angle of the dodecagon hexagon eg , oe (= 150), 360 ÷ 12 (=30) M1 for a complete method to find the interior angle of polygon P eg at or 360 90 (= 120) or + 90 (= 120) or for a complete method to B C: – “150” – “30” find the interior or exterior angle of the hexagon eg , oe (= 120), 360 ÷ 6 (= 60) A1 for 30 and 120 or 30 and 60 or 120 and 150 or 60 and 150 C1 complete solution, fully supported by accurate figures
(b) Explanation C1 No with statement about not being mutually exclusive events eg a person could be in both categories Paper: 1MA1/3F Question Working Answer Mark Notes 18 68 P1 for a process to find the number of vanilla cakes, eg 420 × 2 ÷ 7 oe (= 120) P1 for a process to find the number of banana eg 420 × 0.35 oe (= 147) P1 (dep P1) for a full process to find the number of lemon/chocolate cakes eg 420 – (vanilla cakes) – (banana cakes) (= 153) P1 (dep on previous P1) for a process to find the number of lemon cakes eg “153” ÷ 9 × 4 oe (= 68) A1 cao OR P1 for writing two proportions in the same format P1 for combining the proportions of vanilla and banana cakes eg 2/7 + 7/20 (= 89/140) P1 (dep P1) for a full process to find the proportion or number of lemon/chocolate cakes eg 1 – “89/140” (= 51/140) P1 (dep on previous P1) for a process to find the number of lemon cakes eg “51/140” × 420 ÷ 9 × 4 (= 68) A1 cao 19 polygon is a hexagon M1 for a complete method to find the interior or exterior angle of the dodecagon eg , oe (= 150), 360 ÷ 12 (=30) M1 for a complete method to find the interior angle of polygon P eg at B or C: 360 – “150” – 90 (= 120) or “30” + 90 (= 120) or for a complete method to find the interior or exterior angle of the hexagon eg , oe (= 120), 360 ÷ 6 (= 60) A1 for 30 and 120 or 30 and 60 or 120 and 150 or 60 and 150 C1 complete solution, fully supported by accurate figures