OR Angle QCD = 54 Angle ACP = = 50 x =

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1 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 Angle BAC = 76 Angle BAP = = 6 x = 76 6 Angle QCD = Angle ACP = = 0 x = o B f Angle BAC = 76 (could be just on the diagram) 76 ( ) A f x = 0 (explicitly stated) C (dep on M) f the sum of the angles of a triangle is 80 and alternate angles on parallel lines are equal B f Angle QCD = (could be just on the diagram) ( ) A f x = 0 o (explicitly stated) C (dep on M) f cresponding angles on parallel lines are equal and sum of the angles on a straight line is 80 o and the sum of the angles of a triangle is 80 o cresponding angles on parallel lines are equal and exteri angle of a triangle is equal to the sum of the two interi opposite angles angle QCB = 80 (=6) A f x = 0 o (explicitly stated) C (dep on M) f sum of allied angles = 80 and the sum of the angles of a triangle is 80 MA Practice Tests: Set Regular (H) mark scheme Version.0 This publication may only be reproduced in accdance with Pearson Education Limited copyright policy. 6 Pearson Education Limited.

2 MA Practice Tests Set : Paper H (Regular) mark scheme Version attempt to find the LCM of and eg at least crect multiples of and at least crect multiples of fact trees with at least one crect A f 7 at least one of "7" "7" either unassociated associated with the crect pack p. M f attempt to find the number of packs of cups and plates eg sight of ( ) 7 ( ) A f ( ) and 7 ( ) p MA practice test paper H (Set ) mark scheme: Version.0

3 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 (a) (b) B f oe fraction 8 ( + 9) (= 6) (a) (= ) 8 ( + 9) 9 oe (c) e.g. 6 green crect method to find twice as many green beads as red beads, e.g. 0 (= 60) (8 ) + 6 (= 60) Katie spends me A f 6 (green) if n reds are added then n + 6 (greens), where n and n could be numbers 0 (red) and 60 (green) C (dep on M) f showing crect relevant wking and clear conclusion stating number of green beads stating total numbers of red beads and green beads A f. C (dep on M)f conclusion ft from comparison of two percentages.(0) +. f 0% =.(0), % =., 00 A f 6.7 C (dep on M)f crect ft from comparison of 6.7 and 8. MA practice test paper H (Set ) mark scheme: Version.0

4 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 Jan x Feb x Mar x + 0 Apr (x + 0) x x x 0 x 0 6x+ 8 a method to express all months amounts algebraically (at least crect, ft) Mf an expression f total with at least crect terms added a crect inequality stated algebraically an inequality reduced to ax > b - c NB: accept inequalities written as equations SC T&I is marks f 8, otherwise 0 marks MA practice test paper H (Set ) mark scheme: Version.0

5 MA Practice Tests Set : Paper H (Regular) mark scheme Version π = 9. π (= 78.(9 )) π 0 (= (.9 )) 00π π 0 (= 7(.07 )) 0π M (dep on at least one of the previous Ms) f 0 M (dep on previous M) f ( 0 ) ' ' '78...' π/ A f answer in range π (= 78.(9 )) π 0 (= (.9 )) 00π π 0 (= 78.(98 )) π (= 9.(69 )).π M(dep on previous Ms) f A f answer in range MA practice test paper H (Set ) mark scheme: Version.0

6 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 7 explanation C f he has not expanded the brackets crectly oe 8 (a) M oe (b) (i) (ii) M oe a complete method f compound interest year on year M oe a complete method not using a multiplier M.088 M ( ) 00 M seen M ( -)x00 MA practice test paper H (Set ) mark scheme: Version.0 6

7 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 9 (a) (x + )(x + ) = 00 6x + x + x + = 00 (b) (x + )(x 7) (= 0) x =. (Area =) 6. (.) (. ) 6x + 7x 98 = 0 M (x + )(x + ) = 00 (x x) + (x + ) + x = 00 oe (x x) + ( x ( )) + ) + x + + = 00 oe 7. Other partitions are acceptable but partitioning must go on to fm a crect equation. A Accept 6x + 7x + = 00 if M awarded M f (x + )(x 7) (= 0) x x 7 0 If not M then (x ±)(x ± 7) x condone + in place of ± and sign err. 7 9 A Dependent on at least M Igne negative root. Mft Dependent on at least M and x > 0 Dependent on first M MA practice test paper H (Set ) mark scheme: Version.0 7

8 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 0 (a), 6, B cao f all (B f any crect) (b) Quadratic graph B f a fully crect graph B f all 7 points ft on (a) plotted crectly ± sq B f a smooth curve through all 7 of their plotted points depending on at least B in (a) (c) Draw y = 0.,.7 B f ft from graph ± square B f.6.8 ft from graph ± square (SC: If no marks earned then B f line y = drawn) recognising that 88% is equivalent to oe MA practice test paper H (Set ) mark scheme: Version.0 8

9 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 DC 8 ; DC 89 DB 0 ; DB BC 8 0 ; BC cos CDB 89 = M DC ) 8 89 ( DC = 9.() M ( DB ) 0 DB =.(8) M M BC ) ( '89' ' ' ' 6' cos CDB ' 89' ' ' A BC =.8() M crect sub into cosine rule on fmula sheet ' 6' '89' ' ' M crect rearrangement to A '89' ' ' cos x '89' ' ' ' 6' cos CDB ' 89' ' ' MA practice test paper H (Set ) mark scheme: Version.0 9

10 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 (x + ) = x + 6 (x + ) = x + 6 x + 6 = (x + 6) x + 8 = x + x = 6 ⅓ a crect expression f at least one perimeter. x + 6 = (x + 6) oe x + 8 = x + x + 6 = 8x + oe A f B ft f + M f x + = (x + ) x + = 6x + 8 x + = x + 8 oe A f B ft f + T&I B f. better MA practice test paper H (Set ) mark scheme: Version.0 0

11 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 80 B f (could be seen in wking on a tree diagram) A f oe 0.8(...) B f 8 8 A f oe 0.8(...) (continued overleaf ) MA practice test paper H (Set ) mark scheme: Version.0

12 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 (co nt) B f A f oe 0.8(...) 80 NB if decimals used they must be crect to at least decimal places SC : with replacement B f oe 0 e.g. B0 A MA practice test paper H (Set ) mark scheme: Version.0

13 MA Practice Tests Set : Paper H (Regular) mark scheme Version.0 x x sin sin M x sin 60( 6) ab sin 60( 6) Or M x x x (= 6) 7 x sin 60 A ab sin 60 6 x 0.7 *6 (n + )(m + ) = nm + n + m + = (nm + n + m) + Proof n + oe used to describe an odd number A f product = nm + n + m + where n is not the same as m C (dep on M) f stating that (nm + n + m) is even since it is a multiple of so adding gives an odd number MA practice test paper H (Set ) mark scheme: Version.0

14 MA Practice Tests Set : Paper H (Regular) mark scheme Version splitting curve appropriately to find area complete area calculation e.g. + ( + 0) + (0 + ) + ( + ) + (b) 8 70 = n.66( ) = 70 n. 00 overestimate with reason 60 A f answer in range 6 8 C f overestimate and appropriate reason linked to method, e.g. area between trapeziums and curve is also included M = oe 70 n ( oe.% seen (= 8) (= ) ( ) seen ) A 60 cao C f a crect mathematical assumption eg population hasn t changed overnight sample is random, etc. MA practice test paper H (Set ) mark scheme: Version.0

15 National perfmance data from Results Plus Source of questions Mean sce of students achieving grade: Qu Spec Paper Session Qu Topic Max sce Mean % all ALL A* A B C D E MM F 06 Q Angles AM H Q6 Money calculations MM H Q Probability AM H Q07 Percentages AM H Q Solve inequalities MM H Q Area of a circle NEW Solving linear equations No data available 8a AM H 6 Q6a Compound interest b AM H 6 Q6bi Compound interest No data available 9 MA0 H 0 Q8 Solve quadratic equations F 8 Q8 Graphs of quadratic equations H 9 Q Reverse percentages H 7 Q Pythagas in D AM H Q Solve linear equations MA0 H 6 Q Ratio H 7 Q Trigonometry MM H 06 Q Algebraic proof AM H 06 Q Area under a graph MB0 H Q Estimating populations 0.8 No other data available 80 MA practice test paper H (Set ) mark scheme: Version.0