P1 (dep P1 for Pythagoras) process of adding all the lengths e.g. 5 + 5 + 12 + 12 + (=47) “13” P1 process of multiplying at least 2 lengths by 1.5 A1 cao SC: any evidence of working with Pythagoras award the P1 or P2 6 M1 starts to manipulate expression e.g. 3y = 9x 6 or 3y = 9x 5 – − comparison A1 gives equation(s) which can be used to show that the gradients of the two lines are the same e.g. y = 3x 5/3 – 7 P1 for showing the process of 30 × 60 (=1800) or 20 × 54 (=1080) 72 P1 (dep P1) for showing the complete process e.g. (“1800” ÷ 10 – “1080”) A1 concluding the answer is 72 (and not 66) 8 (a) B1 cao 0.00000797 (b) M1 for partial calculation involving powers of 10 e.g. 0.63 × 105− or 6.3 × 10n where 7 or for n −3 ≠ 6.3 × 107 × 108 or for 63000000 n A1 cao 9 M1 recognition of 1.2 or 120% oe eg 600 ÷ 1.2 oe or × 1.2 = 600 oe or 120%=600 x 500 A1 cao 10 M1 for method to find the product of any two linear expressions (3 correct e.g. or or x2+x+2x+2 x2+2x+3x+6 x2+x+3x+3 M1 for method of multiplying out remaining products, half of which are correct (ft their first product) e.g. x3+x2+2x2+3x2+2x+3x+6x+6 A1 cao 11 (a) B1 cao 1, −3 (b) B1 accept to 2.7 to 2.8 −0.7 −0.8, 2.75 −0.75, (c) B1 cao −2.8 12 (a) M1 for showing a method using either reciprocal or square root e.g. or 9 seen A1 cao Accept or 0.1 recurring
P1 (dep P1 for Pythagoras) process of adding all the lengths e.g. 5 + 5 + 12 + 12 + “13” (=47) P1 process of multiplying at least 2 lengths by 1.5 A1 cao SC: any evidence of working with Pythagoras award the P1 or P2 6 comparison M1 starts to manipulate expression e.g. 3y = 9x – 6 or 3y = 9x − 5 A1 gives equation(s) which can be used to show that the gradients of the two lines are the same e.g. y = 3x – 5/3 7 72 P1 for showing the process of 30 × 60 (=1800) or 20 × 54 (=1080) P1 (dep P1) for showing the complete process e.g. (“1800” – “1080”) ÷ 10 A1 concluding the answer is 72 (and not 66) 8 (a) 0.00000797 B1 cao (b) 6.3 × 107 M1 for partial calculation involving powers of 10 e.g. 0.63 × 105− −3 or 6.3 × 10n where n ≠ 7 or for n × 108 or for 63000000 A1 cao 9 500 M1 recognition of 1.2 or 120% oe eg 600 ÷ 1.2 oe or x × 1.2 = 600 oe or 120%=600 A1 cao 10 M1 for method to find the product of any two linear expressions (3 correct e.g. x2+x+2x+2 or x2+2x+3x+6 or x2+x+3x+3 M1 for method of multiplying out remaining products, half of which are correct (ft their first product) e.g. x3+x2+2x2+3x2+2x+3x+6x+6 A1 cao 11 (a) 1, −3 B1 cao (b) −0.75, 2.75 B1 accept −0.7 to −0.8, 2.7 to 2.8 (c) −2.8 B1 cao 12 (a) M1 for showing a method using either reciprocal or square root e.g. or 9 seen A1 cao Accept or 0.1 recurring