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GCSE MATHEMATICS 1MA0     LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H

 Question              Working                            Answer                 Mark                              Notes
1                                                         3a + 7b                  2       B2 for 3a + 7b oe
                                                                                           (B1 for 3a or 7b oe)


2 (i)                                                      11931                   3       B1 cao
 (ii)                                                     119310                           B1 cao
 (iii)                                                      123                            B1 cao

3(a)                                                  Points plotted               1       B1 for correct points plotted ± 0.5 square
3(b)                                                     Positive                  1       B1 for positive correlation
3(c)                                                    155 - 165                  2       B2 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 × 10                       200                    3       M1 for 30 × 30 × 80 ÷ 6 × 6 × 10 Or
            72000 ÷ 360                                                                    30 ÷ 6 × 30 ÷ 6 × 80 ÷ 10
            Or                                                                             M1 for 72000 ÷ 360 Or 5 × 5 × 8
            30 ÷ 6 × 30 ÷ 6 × 80 ÷ 10                                                      A1 cao
            5×5×8

*5(a)                                              Response boxes too              1       C1 for a valid explanation
                                                         vague
*5(b)                                               No time period or              1       C1 for a valid explanation
                                                  vague response boxes
GCSE MATHEMATICS 1MA0        LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H

 Question               Working                          Answer                    Mark                              Notes
6(a)                                                                                 2       B2 cao
                                                                                             (B1 for a 2x3 rectangle only)


6(b)                                                                                 2       B2 for an accurate 3D sketch
                                                                                             (B1 for a 3D sketch with an “L’- shaped cross
                                                                                             section)

7 (i)       180 – 113                                          67                    4       M1 for 180 – 113
                                                                                             A1 cao
 (ii)                                          corresponding                                 B1 for corresponding (alternate) angles
                                               (alternate) angles                            B1 for angles on a straight line sum to 180o
                                               angles on a straight line
                                               sum to 180o

8(a)                                           Diagrams drawn, bar                   3       B3 for fully labeled comparative diagrams
                                               charts, pie charts,                           (Deduct one mark for each omission or error type)
                                               frequency polygon,
                                               stem & leaf

8(b)                                           German marks higher                   1       B1 for any correct comparison made
                                               than French marks, for
                                               example

9           Sports 4 all: 5 + 4.5 x 12 = £59     Edexcel Sports gives                5       M1 for 5 + 4.5 x 12
            Edexcel: 70 x 4/5 = £56             the best deal since £56                      M1 for 70 x 4/5
            Keef’s: 50 x 1.2 = £60                  is the least cost                        M1 for 50 x 1.2
                                                                                             A1 for fully correct arithmetic
                                                                                             C1 ft for Edexcel Sports supported by ‘correct’
                                                                                             prices
GCSE MATHEMATICS 1MA0     LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H

 Question               Working                          Answer                 Mark                              Notes
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 + b             4r + 3b + 8                4       M1 for r × 4 + b × 1 (= 4r + b)
            Helen: 2 × 4 + 2b × 1 = 8 + 2b                                                B1 for 2b for Helen’s blue cards
                                                                                          M1 for 2 × 4 + 2b × 1 (= 8 + 2b)
                                                                                          A1 cao

12          x + 4 + x + 3 + x – 1 = 3x + 6               13/3 oe                  3       M1 for x + 4 + x + 3 + x – 1 (= 3x + 6)
            3x + 6 = 19                                                                   M1 for 3x + 6 = 19
            3x = 13                                                                       A1 for 13/3 oe

13          60000 × 2/100 = 1200                          1400                    4       M1 for 60000 × 2/100 (= 1200)
            (80000 – 60000) × 1/100 = 200                                                 M1 for 80000 – 60000
            1200 + 200                                                                    M1 for ‘80000 – 60000’ × 1/100 (= 200)
                                                                                          A1 cao

14 (i)                                                     060                    3       B1 cao
  (ii)      360 - 140                                      220                            M1 for 360 – 140
                                                                                          A1 cao

15(a)                                                                             2       M1 for changing to a common denominator with at
                   =                                                                      least one correct numerator
                                                                                          A1 cao

15(b)                                                                             3       M1 for 5 – 2 = 3
            5–2=3
                                                          3
                                                                                          M1 for

                                                                                          A1 for 3        oe
GCSE MATHEMATICS 1MA0      LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H

 Question                Working                     Answer                  Mark                               Notes
16                                               perpendicular                 2       B2 for a correct perpendicular constructed with
                                                                                       accurate intersecting arcs.
                                                                                       (B1 for a perpendicular drawn)

17(a)                                         10000 < x ≤ 14000                1       B1 cao
17(b)                                         14000 < x ≤ 16000                        B1 cao

18          x = (-5 + 7)/2                            1, 11                    2       M1 for either x = (-5 + 7)/2 or 6 = (1 + y)/2
            6 = (1 + y)/2                                                              A1 for x = 1 and y = 11
                                                                                       [B1 for either x = 1 or y = 11 if M0 scored]

19(a)                                               5(x – 2)                   1       B1 cao

19(b)                                              2p(p – 2q)                  2       B2 cao
                                                                                       (B1 for correct partial factorization)

19(c)       t2 + 5t – 4t - 20                      t2 + t – 20                 2       M1 for 3 out of 4 correct terms or 4 terms with
                                                                                       incorrect signs only

19(d)                                             -2, -1, 0, 1, 2              2       B2 for all 5 correct integers and no extras
                                                                                       (-1 for each error or omission up to a maximum of -
                                                                                       2)

20          N boys    2N girls                        4/15                     4       M1 for 3N/5 or 2N/10 oe
            3N/5 + 2N/10 = 4N/5                                                        M1 for 3N/5 + 2N/10 oe
            4N/5 ÷ 3N                                                                  M1 for ‘4N/5’ ‚ 3N
                                                                                       A1 for 4/15 oe
GCSE MATHEMATICS 1MA0       LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H

 Question               Working                          Answer                   Mark                              Notes
21          4x – 6y = 22                              x = 4, y = -1                 4       M1 for a correct process to eliminate either x or y
            15x + 6y = 74                                                                   (condone one arithmetic error)
            19x     = 96                                                                    A1 for either x = 4 or y = -1
                                                                                            M1 (dep on 1st M1) for correct substitution of their
            2 x 4 – 3y = 11                                                                 found variable
                                                                                            A1 for both x = 4 and y = -1

22(a)       Stars: 4/9 x 3/8 = 12/72                           ¼                    3       M1 for 4/9 x 3/8 (= 12/72) or 3/9 x 2/8 (= 6/72)
            Hearts: 3/9 x 2/8 = 6/72                                                        M1 for ‘12/72’ + ‘6/72’
            12/72 + 6/72 = 18/72                                                            A1 for ¼ oe

22(b)       1440 x 12/72 x 1.50 = 360                      840                      4       M1 for 1440 x 12/72 or 1440 x 6/72
            1440 x 6/72 x 2 = 240                                                           M1 for 1440 x 12/72 x 1.50 (= 360) or
            1440 – 360 - 240                                                                1440 x 6/72 x 2 (= 240)
                                                                                            M1 for 1440 – ‘360’ – ‘240’
                                                                                            A1 cao




23(a)       Angle XBD = 60/2 = 30                         Proof                     2       B1 for all correct anles of 30, 60 and 90 shown
            Angle DAC = 90 – 60 = 30                                                        B1 for ‘triangles BXD and ACD have identical
                                                                                            corresponding angles, both being 30, 60, 90 degree
                                                                                            triangles’ for example

23(b)       AD = √(22 – 12) = √3                          Proof                     3       M1 for AD = √(22 – 12) (= √3)
            XD/CD = BD/AD                                                                   M1 for XD/CD = BD/AD oe
            XD/1 = 1/√3                                                                     A1 for completing the proof
GCSE MATHEMATICS 1MA0      LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H

 Question               Working                        Answer                  Mark                               Notes
24          (x – 3)(x + 3)                              x+3                      3       M1 for (x – 3)(x + 3)
            (2x + 3)(x – 3)                            2x + 3                            M1 for (2x + 3)(x – 3)
                                                                                         A1 cao

25          2t (√8 - √2) = 64 = 26                       5½                      5       M1 for 2t (√8 - √2) = 64
            2t (2√2 - √2) = 26                                                           M1 for 2t (2√2 - √2) = 64
            2t x √2 = 26                                                                 M1 for 2t x 21/2 = 26
            2t x 21/2 = 26                                                               M1 for t + ½ = 6
            t+½=6                                                                        A1 cao


26          3G, 4R        1G, 3Y                        3/28                     3       M1 for 3/7 or ¼
             3/7   x       1/4                                                           M1 for 3/7 x ¼
                                                                                         A1 for 3/28 oe

27 (i)                                                   50                      3       B1 cao
   (ii)                                                  50                              B1 cao
   (iii)                                                  4                              B1 cao
GCSE MATHEMATICS 1MA0       LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H

                                                                                                    Non
Quest.   Topic/name         AO1     AO2     AO3     Total        FE          Nu      Man Alg        Man 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                                                                      50        25    25
         target:                                                                                                             %:
         Higher % target:   40-50   30-40   15-25                20-30

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06 practice paper_3_h_set_a_-_mark_scheme

  • 1. GCSE MATHEMATICS 1MA0 LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H Question Working Answer Mark Notes 1 3a + 7b 2 B2 for 3a + 7b oe (B1 for 3a or 7b oe) 2 (i) 11931 3 B1 cao (ii) 119310 B1 cao (iii) 123 B1 cao 3(a) Points plotted 1 B1 for correct points plotted ± 0.5 square 3(b) Positive 1 B1 for positive correlation 3(c) 155 - 165 2 B2 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 × 10 200 3 M1 for 30 × 30 × 80 ÷ 6 × 6 × 10 Or 72000 ÷ 360 30 ÷ 6 × 30 ÷ 6 × 80 ÷ 10 Or M1 for 72000 ÷ 360 Or 5 × 5 × 8 30 ÷ 6 × 30 ÷ 6 × 80 ÷ 10 A1 cao 5×5×8 *5(a) Response boxes too 1 C1 for a valid explanation vague *5(b) No time period or 1 C1 for a valid explanation vague response boxes
  • 2. GCSE MATHEMATICS 1MA0 LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H Question Working Answer Mark Notes 6(a) 2 B2 cao (B1 for a 2x3 rectangle only) 6(b) 2 B2 for an accurate 3D sketch (B1 for a 3D sketch with an “L’- shaped cross section) 7 (i) 180 – 113 67 4 M1 for 180 – 113 A1 cao (ii) corresponding B1 for corresponding (alternate) angles (alternate) angles B1 for angles on a straight line sum to 180o angles on a straight line sum to 180o 8(a) Diagrams drawn, bar 3 B3 for fully labeled comparative diagrams charts, pie charts, (Deduct one mark for each omission or error type) frequency polygon, stem & leaf 8(b) German marks higher 1 B1 for any correct comparison made than French marks, for example 9 Sports 4 all: 5 + 4.5 x 12 = £59 Edexcel Sports gives 5 M1 for 5 + 4.5 x 12 Edexcel: 70 x 4/5 = £56 the best deal since £56 M1 for 70 x 4/5 Keef’s: 50 x 1.2 = £60 is the least cost M1 for 50 x 1.2 A1 for fully correct arithmetic C1 ft for Edexcel Sports supported by ‘correct’ prices
  • 3. GCSE MATHEMATICS 1MA0 LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H Question Working Answer Mark Notes 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 + b 4r + 3b + 8 4 M1 for r × 4 + b × 1 (= 4r + b) Helen: 2 × 4 + 2b × 1 = 8 + 2b B1 for 2b for Helen’s blue cards M1 for 2 × 4 + 2b × 1 (= 8 + 2b) A1 cao 12 x + 4 + x + 3 + x – 1 = 3x + 6 13/3 oe 3 M1 for x + 4 + x + 3 + x – 1 (= 3x + 6) 3x + 6 = 19 M1 for 3x + 6 = 19 3x = 13 A1 for 13/3 oe 13 60000 × 2/100 = 1200 1400 4 M1 for 60000 × 2/100 (= 1200) (80000 – 60000) × 1/100 = 200 M1 for 80000 – 60000 1200 + 200 M1 for ‘80000 – 60000’ × 1/100 (= 200) A1 cao 14 (i) 060 3 B1 cao (ii) 360 - 140 220 M1 for 360 – 140 A1 cao 15(a) 2 M1 for changing to a common denominator with at = least one correct numerator A1 cao 15(b) 3 M1 for 5 – 2 = 3 5–2=3 3 M1 for A1 for 3 oe
  • 4. GCSE MATHEMATICS 1MA0 LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H Question Working Answer Mark Notes 16 perpendicular 2 B2 for a correct perpendicular constructed with accurate intersecting arcs. (B1 for a perpendicular drawn) 17(a) 10000 < x ≤ 14000 1 B1 cao 17(b) 14000 < x ≤ 16000 B1 cao 18 x = (-5 + 7)/2 1, 11 2 M1 for either x = (-5 + 7)/2 or 6 = (1 + y)/2 6 = (1 + y)/2 A1 for x = 1 and y = 11 [B1 for either x = 1 or y = 11 if M0 scored] 19(a) 5(x – 2) 1 B1 cao 19(b) 2p(p – 2q) 2 B2 cao (B1 for correct partial factorization) 19(c) t2 + 5t – 4t - 20 t2 + t – 20 2 M1 for 3 out of 4 correct terms or 4 terms with incorrect signs only 19(d) -2, -1, 0, 1, 2 2 B2 for all 5 correct integers and no extras (-1 for each error or omission up to a maximum of - 2) 20 N boys 2N girls 4/15 4 M1 for 3N/5 or 2N/10 oe 3N/5 + 2N/10 = 4N/5 M1 for 3N/5 + 2N/10 oe 4N/5 ÷ 3N M1 for ‘4N/5’ ‚ 3N A1 for 4/15 oe
  • 5. GCSE MATHEMATICS 1MA0 LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H Question Working Answer Mark Notes 21 4x – 6y = 22 x = 4, y = -1 4 M1 for a correct process to eliminate either x or y 15x + 6y = 74 (condone one arithmetic error) 19x = 96 A1 for either x = 4 or y = -1 M1 (dep on 1st M1) for correct substitution of their 2 x 4 – 3y = 11 found variable A1 for both x = 4 and y = -1 22(a) Stars: 4/9 x 3/8 = 12/72 ¼ 3 M1 for 4/9 x 3/8 (= 12/72) or 3/9 x 2/8 (= 6/72) Hearts: 3/9 x 2/8 = 6/72 M1 for ‘12/72’ + ‘6/72’ 12/72 + 6/72 = 18/72 A1 for ¼ oe 22(b) 1440 x 12/72 x 1.50 = 360 840 4 M1 for 1440 x 12/72 or 1440 x 6/72 1440 x 6/72 x 2 = 240 M1 for 1440 x 12/72 x 1.50 (= 360) or 1440 – 360 - 240 1440 x 6/72 x 2 (= 240) M1 for 1440 – ‘360’ – ‘240’ A1 cao 23(a) Angle XBD = 60/2 = 30 Proof 2 B1 for all correct anles of 30, 60 and 90 shown Angle DAC = 90 – 60 = 30 B1 for ‘triangles BXD and ACD have identical corresponding angles, both being 30, 60, 90 degree triangles’ for example 23(b) AD = √(22 – 12) = √3 Proof 3 M1 for AD = √(22 – 12) (= √3) XD/CD = BD/AD M1 for XD/CD = BD/AD oe XD/1 = 1/√3 A1 for completing the proof
  • 6. GCSE MATHEMATICS 1MA0 LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H Question Working Answer Mark Notes 24 (x – 3)(x + 3) x+3 3 M1 for (x – 3)(x + 3) (2x + 3)(x – 3) 2x + 3 M1 for (2x + 3)(x – 3) A1 cao 25 2t (√8 - √2) = 64 = 26 5½ 5 M1 for 2t (√8 - √2) = 64 2t (2√2 - √2) = 26 M1 for 2t (2√2 - √2) = 64 2t x √2 = 26 M1 for 2t x 21/2 = 26 2t x 21/2 = 26 M1 for t + ½ = 6 t+½=6 A1 cao 26 3G, 4R 1G, 3Y 3/28 3 M1 for 3/7 or ¼ 3/7 x 1/4 M1 for 3/7 x ¼ A1 for 3/28 oe 27 (i) 50 3 B1 cao (ii) 50 B1 cao (iii) 4 B1 cao
  • 7. GCSE MATHEMATICS 1MA0 LINEAR PRACTICE PAPERS SET A HIGHER TIER 3H Non Quest. Topic/name AO1 AO2 AO3 Total FE Nu Man Alg Man 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 50 25 25 target: %: Higher % target: 40-50 30-40 15-25 20-30