(b) M1 for a line of best fit drawn between (9,130) and (9, 140) and between (13,100) and (13,110) inclusive

Transcription

1 1 4 3 M1.1 (= 4) or.1. (=.13 ) = = 1MA1 Practice Tests: Set 1 Regular (H) mark scheme Version 1. This publication may only be reproduced in accordance with Pearson Education Limited copyright policy. 1 Pearson Education Limited. M1 (dep) 4. or.13.. A1 cao SC: B for 1. M1 for listing at least 3 multiples of each of 1 and or 4 in two lists of multiples or from factor trees M1 (dep) for attempt to find a common multiple of 1 and above (= ) M1 (dep M) for method to find the number of boxes and the number of packs 1 (= ) and (= 9) M1 for finding the total cost by multiplying numbers by cost and adding eg A1 for.() 1. 3 M1 for (a) Negative 1 B1 cao M1 for (3 + 1) or 11 A1 for (b) M1 for a line of best fit drawn between (913) and (9 14) and between (131) and (1311) inclusive x + 4x > (x + 4) x > x + 9 3x > 9 A1 for B1 for x + 4 (or x + 9 oe) and 4x M1 for x + 4x > (x + 4) oe M1 for subtracting x from both sides

2 x > 3 A1 for 3x > 9 oe A1 cao for 33 S N C S+ C N x + 4x + 3x x + 4 = 14x + x + x + x 3 + x 3 = 1x 1x = 14x + 4x = 14 x = 14/4 = 3. oe x = 3. L = 14. W = 14 Trial and Improvement B1 for 1 correct trial of S N and C M1 for an improved correct trial of S N and C M1 for a correct trial of 3 M1 for a correct trial of 33 A1 (dep on M) for 33 cao NB: Accept other letters instead of x NB: an answer of 3 without working scores marks M1 4x + 4x + 3x x + 4 (= 14x + ) M1 x + x + x 3 + x 3 (= 1x ) M1 equating e.g. 1x = 14x + (4x = 14) A1 x = 14/4 = 3. oe A1 for 14. or ft A1 for 14 or 3. 4 ft 1MA1 practice test paper H (Set 1) mark scheme: Version 1.

3 Area of trapezium = Length is 3x + 4 = = Width is 4x = 4 3. = (a)...4. B1 for.. correctly placed *(b) y y = 3 or x + x = No As.44 <. B1 for..4 correctly placed 4 M1 for.. or.4.4 oe M1 for oe A1 for.44 oe C1 (dep on M1) for conclusive statement based on their answer compared to % x y 1 3 M1 for a complete method to eliminate one variable (condone one arithmetic error) A1 x = A1 y = 1 NB: Candidates showing no working score marks 1MA1 practice test paper H (Set 1) mark scheme: Version 1. 3

4 % or 3 M1 for 1 3 (= ) or M1 for (3 + ) (= 14) or 1 (3 + ) M1 for 14 or 14 A1 for % or oe M1 for a correct method to find (1 3)% of any actual sum of money M1 for 3 (3 + ) (= ) M1 for 14 A1 for % or oe M1 for starting with two numbers in ratio 3: e.g. 1 and 14 M1 for equating sum of their numbers to 1 3 (= %) e.g (= 3) M1 for scaling sum of their numbers to 1% e.g. 3 1 (= ) 1MA1 practice test paper H (Set 1) mark scheme: Version 1. 4

5 14 A1 for % or oe SC: award B3 for oe answers expressed in an incorrect form. e.g () M1 for correct evaluation of at least 3 odd cases or sequence of () 13 () 9 seen or the expression with n = 9 or 11 or or 1 or substituted but not evaluated A1 for or 1 or 3 or 44 or identified 11 (a) M1 for substitution into the cosine rule e.g. 3. = cosa M1 for cos A [= = (.) ] 9. A1 for (b).4 M1 (ft) for sin (a) A1 for an answer in the range.3 to.4 or ft from their (a) if supported by correct working. 1MA1 practice test paper H (Set 1) mark scheme: Version 1.

6 *1 d: UB =. (.49..) 13 LB = 19. f: UB =. (.49..) LB =. Volume of A = Volume of B = 14. = 1 = 1..4 because the LB and UB agree to that number of figures B1 for one correct bound of d B1 for one correct bound of f M1 for a correct method to find the upper bound of c e.g.. ". (=.49...) or for a correct method to find the lower bound of c e.g (=.39...) A1 for.4(9 ) and.3(9 ) C1 (dep on M1) for a statement that both LB and UB round to.4 to one decimal place oe NB an answer of.39(99 ) or.4 without working or from. scores no marks.9 4 M1 for finding the volume of either liquid A or B or the mass of liquid C M1 for a complete method to find the volume AND mass of liquid C M1 (dep M) for total mass total volume A1 for.9 to.9 Mass of C = = Density of C = 1MA1 practice test paper H (Set 1) mark scheme: Version 1.

7 14 (a) 11 1 B1 cao (b) y x y = x x y x = y (c) 1 1 B1 cao (d) (i) ( x ) 4x 1x 1x oe x M1 for a correct first stage: subtract from both sides or divide all terms by NB Accept f(x) in place of y 4x x A1 M1 x (oe) B1 for correct expansion of (x + ) A1 4x x or a correct fully or partially factorised expression (ii) x = x = M1 4x(x +) (= ) or x(4x + ) (= ) or x(x + 1) (= ) or x(x + ) (=) or for e.g. 4 A1 for both solutions 4 4 1MA1 practice test paper H (Set 1) mark scheme: Version 1.

8 M1 for at least one product of the form M1 for identifying all products a b (condone errors in products 1 error in 3 products) Either M1 (dep) for ' ' ' oe 1 ' ' oe ' oe A1 for 131 oe or.94 correct to at least decimal 1MA1 practice test paper H (Set 1) mark scheme: Version 1.

9 places or answer that rounds to.9 1 P = k/x = k/ (k = 1) 1 P = NB : If decimals used for products then must be correct to at least decimal places With replacement M M1 for identifying all products (condone errors in products 1 error in 3 products) M1 (dep) 9 9 A for oe or. (NB: oe or. implies M) 4 4 Partial replacement SC: B for oe or. or oe or.3 correct to at least decimal places.34 3 M1 for P = k/x or P k/x M1 for = k/ or (k =) 1 seen or = P A ² 1 1 M1 for using a scale factor of 3² (= 9) A1 cao 1MA1 practice test paper H (Set 1) mark scheme: Version 1. 9

10 1 e.g =.4.4 =... = =.13 Median = = M1 for attempt to find the area of one bar ( 1 ) 4 M1 for attempt to find total area (condone one error) M1 for correct attempt to locate median in second bar (condone one arithmetic error) A1 for.3(4...) M1 method to find gradient of tangent e.g. 1 3 (= 1 ) M1 for method to find equation of tangent with m = 1 M1 for method to find x-axis intercept of tangent A1 cao 1MA1 practice test paper H (Set 1) mark scheme: Version 1. 1

11 National performance data from Results Plus Source of questions Mean score of students achieving grade: Qu Spec Paper Session Qu Topic Max score Mean % all ALL A* A B C D E 1 4MA(R) F 11 Q1 Proportions MA H 14 Q14 HCF and LCM MM F 111 Q Pythagoras in D F 911 Q Scatter diagrams AM H 13 Q14 Solve inequalities AM1 1H 11 Q14 Solve linear equations AM H 1411 Q1 Probability tree diagrams MA(R) F 11 Q Solving simultaneous equations MA H 13 Q Ratio H 11 Q Number sequences MM H 1 Q1 Sine and cosine rule AM H 14 Q1 Bounds MA H 1 Q1 Compound measures MA 1H 141 Q Functions H 9 Q Conditional probability MM H 1111 Q3 Direct and indirect proportion MA H 1 Q1 Ratio AM1 1H 1311 Q1 Histograms and grouped data NEW 4 No data available 1MA1 practice test paper H (Set 1) mark scheme: Version 1. 11