Mark Scheme. Pearson Edexcel GCSE (9-1) Mathematics 1MA1 Trial of Specimen Papers (Set 1) Paper 1 (1MA1/1F): Non-Calculator Foundation Tier

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1 ALWAYS LEARNING Mark Scheme Pearson Edexcel GCSE (9-1) Mathematics 1MA1 Trial of Specimen Papers (Set 1) Paper 1 (1MA1/1F): Non-Calculator Foundation Tier

5 Guidance on the use of abbreviations within this mark scheme M P A C B method mark awarded for a correct method or partial method process mark awarded for a correct process as part of a problem solving question accuracy mark (awarded after a correct method or process; if no method or process is seen then full marks for the question are implied but see individual mark schemes for more details) communication mark unconditional accuracy mark (no method needed) oe cao ft sc dep or equivalent correct answer only follow through (when appropriate as per mark scheme) special case dependent (on a previous mark) indep independent awrt answer which rounds to isw ignore subsequent working

6 Paper 1MA1_1F Question Working Answer Notes 1 5.3(0) B1 cao B1 cao B1 cao 4 90 B1 cao 5 27 B1 cao 6 (a) 5412 B2 (B1 for any 4-digit even number using 4,5,1,2 or 5421) (b) 45, 54, 41, P1 starts to list systematically; at least 6 correct seen (ignore repeats) 14, 42, 24, 51, 15, 52, 25, 12, 21 A1 lists all 12 numbers (condone inclusion of all repeats 44, 55 etc) 7 chart C1 for key or suitable labels to identify boys and girls C1 for 4 correct sport labels or a linear scale C1 for diagram or chart (combined or separate), correctly showing data for at least 3 sports C1 for fully correct diagram or chart with axes correctly scaled and labelled 8 (a) example C1 for appropriate example shown (b) example C1 conclusion

7 Paper 1MA1_1F Question Working Answer Notes M1 for complete method with relative place value correct (addition not necessary), allow 1 arithmetic error M1 (dep) for addition of all appropriate elements A1 cao 10 No P1 starts the process to convert one dimension (supported) A1 converts at least one measurement correctly C1 conclusion eg No, since the 40 cm > 14 inches 11 (5) 3 (4) (12) table C1 for at least 2 correct numbers 6 (7) 5 18 C1 for at least 4 correct numbers (9) (30) C1 for completed table 12 1 : 3 M1 for stating a ratio eg 28 : 84 oe, or 3:1 A1 cao 13 (a) drawing C1 drawing of pattern number 4 (b) 42 C1 shows a process of working towards pattern number 20 C1 cao (c) n + 2 C1 begins process of stating algebraic expression eg n C1 n + 2 oe

8 Paper 1MA1_1F Question Working Answer Notes 14 (a) 2000p-2600p P1 evidence of estimate eg. 4 or 50 or 10 used in calculation P1 complete process to solve problem A1 2000p-2600p or (b) under C1 underestimate as values have been rounded down 15 no P1 interprets the scale for 2 dimensions on diagram or in calculations. with evidence P1 a complete process to find comparative figures. C1 no with correct figures M1 for method to find area of any one rectangle A1 cao 17 rotation M1 for triangle in correct orientation or rotation 90 anticlockwise A1 cao P1 for process to find 7/20 of 500 (=175) or 7/20 + 4/10 (=3/4) or 40% of 500 P1 for complete process to find the number of children. A1 cao

9 Paper 1MA1_1F Question Working Answer Notes 19 (a) P1 method to find amount of milk needed, eg 7 ¾ (=5.25) P1 uses appropriate integer from their working to calculate a cost eg 5.25 as 6 pints and 3 2 pints 2.79 A1 cao (b) pay more C1 deduces he may have to pay more [if he uses more than pints a day] P1 process to start problem solving eg forms an appropriate equation P1 complete process to solve equation A1 cao 21 4 m 2 C1 A1 C1 substitution into formula eg 4 stated (indep) units stated A P1 begins process of subtraction of probabilities from 1 A1 oe P1 begins to work with rectangle dimensions eg l+w=7 or 2 l+w (=11) C1 shows a result for a dimension eg using l=4 or w=3 P1 begins process of finding total area eg A1 cao

10 Paper 1MA1_1F Question Working Answer Notes 24 explanation M1 works with volume eg begins working back eg (=28) M1 uses conversion 1 litre = 1000 cm 3 uses conversion 1 litre = 1000 cm 3 M1 uses 8000 eg vol 8000 (=30) uses 8000 eg (=224000) M1 uses 30 eg works with vol. eg C1 for explanation and 75 stated for explanation with and (a) Sharif B1 Sharif with mention of greatest total throws (b) Decision P1 starts working with proportions (supported) A1 Conclusion: correct for Paul, but not for the rest; or ref to just Paul s results P1 selects Sharif or overall and multiplies P(heads) P(heads) eg ¾ ¾ (c) Tot: H 300 T (a) 3 2 A1 B1 oe (b) 6 M1 A1 starts process eg sin 30 answer given x x 2 +2x 3 M1 starts expansion: at least 3 terms correct with signs, or four terms correct ignoring signs A1 for x 2 +2x 3

11 Paper 1MA1_1F Question Working Answer Notes 28 (x+4)(x 4) B1 for (x+4)(x 4) 29 x=7, y= 3 M1 for correct process to eliminate one variable (condone one arithmetic error) M1 (dep) for substituting found value in one of the equations or appropriate method after starting again (condone one arithmetic error) A1 for both correct solutions

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