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Pracise

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Question | Working | Answer | Mark | Notes | 1 | | | 3a + 7b | 2 | B2 for 3a + 7b oe(B1 for 3a or 7b oe) | 2 (i) (ii) (iii) | | | 1193111931123 | 3 | B1 caoB1 caoB1 cao | 3(a)3(b)3(c) | | | Points plottedPositive155 - 165 | 112 | B1 for correct points plotted ± 0.5 squareB1 for positive correlationB2 for an answer in the range 155 – 165(B1 for a line of best fit drawn if answer outside the range) | 4 | | 30 × 30 × 80 ÷ 6 × 6 × 1072000 ÷ 360Or 30 ÷ 6 × 30 ÷ 6 × 80 ÷ 105 × 5 × 8 | 200 | 3 | M1 for 30 × 30 × 80 ÷ 6 × 6 × 10 Or 30 ÷ 6 × 30 ÷ 6 × 80 ÷ 10M1 for 72000 ÷ 360 Or 5 × 5 × 8A1 cao | *5(a)*5(b) | | | Response boxes too vagueNo time period or vague response boxes | 11 | C1 for a valid explanationC1 for a valid explanation | 6(a)6(b) | | | | 22 | B2 cao(B1 for a 2x3 rectangle only)B2 for an accurate 3D sketch(B1 for a 3D sketch with an “L’- shaped cross section) | 7 (i) (ii) | | 180 – 113 | 67corresponding (alternate) anglesangles on a straight line sum to 180o | 4 | M1 for 180 – 113A1 caoB1 for corresponding (alternate) anglesB1 for angles on a straight line sum to 180o | 8(a)8(b) | | | Diagrams drawn, bar charts, pie charts, frequency polygon, stem & leafGerman marks higher than French marks, for example | 31 | B3 for fully labeled comparative diagrams(Deduct one mark for each omission or error type)B1 for any correct comparison made | 9 | | Sports 4 all: 5 + 4.5 x 12 = £59Edexcel: 70 x 4/5 = £56Keef’s: 50 x 1.2 = £60 | Edexcel Sports gives the best deal since £56 is the least cost | 5 | M1 for 5 + 4.5 x 12M1 for 70 x 4/5M1 for 50 x 1.2A1 for fully correct arithmeticC1 ft for Edexcel Sports supported by ‘correct’ prices | 10 | | | 42 cm3 | 3 | B3 for fully correct diagram(B2 for 4 out of 6 squares correctly placed,B1 for 2 out of 6 squares correctly placed) | 11 | | Stuart: r × 4 + b × 1 = 4r + bHelen: 2 × 4 + 2b × 1 = 8 + 2b | 4r + 3b + 8 | 4 | M1 for r × 4 + b × 1 (= 4r + b)B1 for 2b for Helen’s blue cardsM1 for 2 × 4 + 2b × 1 (= 8 + 2b)A1 cao | 12 | | x + 4 + x + 3 + x – 1 = 3x + 6 3x + 6 = 193x = 13 | 13/3 oe | 3 | M1 for x + 4 + x + 3 + x – 1 (= 3x + 6)M1 for 3x + 6 = 19A1 for 13/3 oe | 13 | | 60000 × 2/100 = 1200(80000 – 60000) × 1/100 = 2001200 + 200 | 1400 | 4 | M1 for 60000 × 2/100 (= 1200)M1 for 80000 – 60000M1 for ‘80000 – 60000’ × 1/100 (= 200)A1 cao | 14 (i) (ii) | | 360 - 140 | 060220 | 3 | B1 caoM1 for 360 – 140A1 cao | 15(a)15(b) | | = 5 – 2 = 3 | 3 | 23 | M1 for changing to a common denominator with at least one correct numeratorA1 caoM1 for 5 – 2 = 3M1 for A1 for 3 oe | 16 | | | perpendicular | 2 | B2 for a correct perpendicular constructed with accurate intersecting arcs.(B1 for a perpendicular drawn) | 17(a)17(b) | | | 10000 < x ≤ 1400014000 < x ≤ 16000 | 1 | B1 caoB1 cao | 18 | | x = (-5 + 7)/26 = (1 + y)/2 | 1, 11 | 2 | M1 for either x = (-5 + 7)/2 or 6 = (1 + y)/2A1 for x = 1 and y = 11[B1 for either x = 1 or y = 11 if M0 scored] | 19(a)19(b)19(c)19(d) | | t2 + 5t – 4t - 20 | 5(x – 2)2p(p – 2q)t2 + t – 20-2, -1, 0, 1, 2 | 1222 | B1 caoB2 cao(B1 for correct partial factorization)M1 for 3 out of 4 correct terms or 4 terms with incorrect signs onlyB2 for all 5 correct integers and no extras(-1 for each error or omission up to a maximum of -2) | 20 | | N boys 2N girls3N/5 + 2N/10 = 4N/54N/5 ÷ 3N | 4/15 | 4 | M1 for 3N/5 or 2N/10 oeM1 for 3N/5 + 2N/10 oeM1 for ‘4N/5’ ÷ 3NA1 for 4/15 oe | 21 | | 4x – 6y = 22
15x + 6y = 7419x = 962 x 4 – 3y = 11 | x = 4, y = -1 | 4 | M1 for a correct process to eliminate either x or y (condone one arithmetic error)A1 for either x = 4 or y = -1M1 (dep on 1st M1) for correct substitution of their found variableA1 for both x = 4 and y = -1 | 22(a)22(b) | | Stars: 4/9 x 3/8 = 12/72Hearts: 3/9 x 2/8 = 6/7212/72 + 6/72 = 18/721440 x 12/72 x 1.50 = 3601440 x 6/72 x 2 = 2401440 – 360 - 240 | ¼ 840 | 34 | M1 for 4/9 x 3/8 (= 12/72) or 3/9 x 2/8 (= 6/72)M1 for ‘12/72’ + ‘6/72’A1 for ¼ oe M1 for 1440 x 12/72 or 1440 x 6/72 M1 for 1440 x 12/72 x 1.50 (= 360) or 1440 x 6/72 x 2 (= 240)M1 for 1440 – ‘360’ – ‘240’A1 cao | 23(a)23(b) | | Angle XBD = 60/2 = 30Angle DAC = 90 – 60 = 30AD = √(22 – 12) = √3XD/CD = BD/ADXD/1 = 1/√3 | ProofProof | 23 | B1 for all correct anles of 30, 60 and 90 shownB1 for ‘triangles BXD and ACD have identical corresponding angles, both being 30, 60, 90 degree triangles’ for exampleM1 for AD = √(22 – 12) (= √3)M1 for XD/CD = BD/AD oeA1 for completing the proof | 24 | | (x – 3)(x + 3) (2x + 3)(x – 3) | x + 3 2x + 3 | 3 | M1 for (x – 3)(x + 3) M1 for (2x + 3)(x – 3)A1 cao | 25 | | 2t (√8 - √2) = 64 = 262t (2√2 - √2) = 262t x √2 = 262t x 21/2 = 26t + ½ = 6 | 5½ | 5 | M1 for 2t (√8 - √2) = 64M1 for 2t (2√2 - √2) = 64M1 for 2t x 21/2 = 26M1 for t + ½ = 6A1 cao | 26 | | 3G, 4R 1G, 3Y 3/7 x 1/4 | 3/28 | 3 | M1 for 3/7 or ¼M1 for 3/7 x ¼A1 for 3/28 oe | 27 (i) (ii) (iii) | | | 1001004 | 3 | B1 caoB1 caoB1 cao |

Quest. | Topic/name | AO1 | AO2 | AO3 | Total | | FE | Nu | Man Alg | NonMan alg | G | S | Total#1 | Low | Mid. | High | Total#2 | 1 | Simplify | 2 | | | 2 | | | | 2 | | | | 2 | 2 | | | 2 | 2 | Numbercalcs | 3 | | | 3 | | | 3 | | | | | 3 | 3 | | | 3 | 3 | Height/Wt | 2 | 2 | | 4 | | | | | | | 4 | 4 | 4 | | | 4 | 4 | Light bulbs | 3 | | 3 | | 3 | | | | 3 | | 3 | 3 | | | 3 | 5 | Questionnaire | 2 | | | 2 | | 2 | | | | | 2 | 2 | 2 | | | 2 | 6 | 3D sketch | 4 | | | 4 | | | | | | 4 | | 4 | 4 | | | 4 | 7 | Parallel lines | 2 | 2 | | 4 | | | | | | 4 | | 4 | 4 | | | 4 | 8 | Languages | 4 | | 4 | | | | | | | 4 | 4 | 4 | | | 4 | 9 | Trainers | | | 5 | 5 | | 5 | 5 | | | | | 5 | 5 | | | 5 | 10 | Symmetry | 3 | | | 3 | | | | | | 3 | | 3 | 3 | | | 3 | 11 | Cards | | | 4 | 4 | | | | 4 | | | | 4 | 4 | | | 4 | 12 | Perimeter | | 3 | 3 | | | | 3 | | | | 3 | 3 | | | 3 | 13 | estate agent | | 4 | 4 | | 4 | 4 | | | | | 4 | 4 | | | 4 | 14 | Bearings | 3 | | | 3 | | | | | | 3 | | 3 | 3 | | | 3 | 15 | Fractions | 5 | | | 5 | | | 5 | | | | | 5 | 2 | 3 | | 5 | 16 | Construction | 2 | | | 2 | | | | | | 2 | | 2 | | 2 | | 2 | 17 | Class intervals | 2 | | | 2 | | | | | | | 2 | 2 | 1 | 1 | | 2 | 18 | Midpoint | | 2 | | 2 | | | | | 2 | | | 2 | | 2 | | 2 | 19 | Factorise | 7 | | | 7 | | | | 7 | | | | 7 | 1 | 6 | | 7 | 20 | Sporty students | 4 | | 4 | | | 4 | | | | | 4 | | 4 | | 4 | 21 | Sim Equns | 4 | | | 4 | | | | 4 | | | | 4 | | 4 | | 4 | 22 | Summer Fete | 3 | 4 | 7 | | 7 | 2 | | | | 5 | 7 | | | 7 | 7 | 23 | Sim Triang | 3 | 2 | 5 | | | | | | 5 | | 5 | | | 5 | 5 | 24 | Alg fraction | 3 | | | 3 | | | | 3 | | | | 3 | | | 3 | 3 | 25 | Ind and Surds | 5 | | 5 | | | 2 | 2 | | 1 | | 5 | | | 5 | 5 | 26 | sweets | | 3 | | 3 | | | | | | | 3 | 3 | | | 3 | 3 | 27 | Trig graph | 3 | | | 3 | | | | | 3 | | | 3 | | | 3 | 3 | | Totals | 47 | 31 | 22 | 100 | 0 | 21 | 25 | 25 | 5 | 25 | 20 | 100 | 52 | 22 | 26 | 100 | | Percentage | 47.0 | 31.0 | 22.0 | 100.0 | | 21.0 | | Al: | 30 | | | | 52.0 | 22.0 | 26.0 | | | Foundation % target: | 40-50 | 30-40 | 15-25 | | | 30-40 | | | | | | Target %: | 50 | 25 | 25 | | | Higher % target: | 40-50 | 30-40 | 15-25 | | | 20-30 | | | | | | | | | | |

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