PiXL Live Mock Paper Paper 1 (Non - Calculator) Higher Tier

Transcription

1 PiXL Live Mock Paper Paper 1 (Non - Calculator) Higher Tier Q1 Answer Mark Additional Guidance Types Tally Frequency 3 B3 for correct table with all three aspects Aspect 1: method of travel or for at least 3 of bus, car, walk, other etc. Aspect 2: tally or tally marks or frequency or number of people Aspect 3: frequency or frequencies or total or totals or number of people B2 for two aspects B1 for one aspect Q2 Answer Mark Additional Guidance (a) 20 1 B1 for 19 to 21 (b) B1 for 2.3 to 2.5 (c)(i) (ii) Robert 2 B1 for Robert with a correct conversion (may be evidenced on the graph) (B1 for Robert with a valid explanation or James with a correct conversion) (may be evidenced on the graph) Note: 4m = 13 feet, 12 ft = 3.6m Q3 Working Answer Mark Additional Guidance (= 329) (= 315) (= 320) 315, Electrics 6 M1 A1 Total for Question: 6 marks Page 1

2 Q4 Working Answer Mark Additional Guidance (a) x 2 + 5x B1 for x 2 + 2x + 3x + 6 (b) 5(x 2y) 1 B1 cao (c) 3p(q 4p) 2 B2 3p(q 4p) (B1 correct partial factorisation, for example, p(3q 12p), 12p(1/4 q p), p(aq + bp) where a and b are numbers Q5 Working Answer Mark Additional Guidance (a) Stem & leaf diagram 3 B1 for table with at least 15 numbers in order. B1 for all numbers correctly placed in the table. B1 for key. (b) B1 cao (c) B2 cao Q6 Working Answer Mark Additional Guidance QW C iii FE See table at end Best month and supporting explanation 4 M1 Converts for at least 2 months to a common format (fractions, decimals or %age) A1 all correct C1 for Council target: No (yes) dep on M1 and consistent with the candidates calculations QWC: Decisions should be started, following through from working out C1 March with all calculations correct for the 3 months QWC: Decisions should be started, following through from working out Page 2

3 Jan Fraction Decimal % kg % Not known Feb % 15 kg Mar % kg Q7 Working Answer Mark Additional Guidance Angles at a point add up to ( ) = 80 Isosceles triangle, 2 identical angles. 180 (80 x 2) = Q8 Working Answer Mark Additional Guidance 550g 100g 375ml 5 tablespoons 3 Q9 Working Answer Mark Additional Guidance (a) = 2 x 2 x 2 x 3 x 5 2 M1 for prime factor decomposition (b) 90 = 2 x 2 x 2 x 3 x 5 HCF = 2 x 3 x M1 finding common prime factors Page 3

4 Q10 Working Answer Mark Additional Guidance (a) 30 + (7 4) 58 2 M or (b) = =3 3 3 M or sight of 21 M1 (dep) 21 7 NB: a correct answer which is embedded gets B2 Q11 Working Answer Mark Additional Guidance 2x + 2x x x + 2x = 540 8x = 540 x= M1 2x + 2x x x + 2x M1 collects terms correctly A1 x = 50 Q12 Working Answer Mark Additional Guidance Rotates shape about (3,0) by 180 to give U Rotates U about (6, 0) to give V Translation by 3 B3 Translation by (B2 translation by 6 to the right or just (see graph at end) on its own ) (B1 translation or move to the right 6) If no marks earned from a description then B1 U correctly placed B1 V correctly placed Page 4

5 Q13 Working Answer Mark Additional Guidance (i) B1 cao (ii) Exterior angles sum to 360 So = 18 2 M1 for Q14 Working Answer Mark Additional Guidance (a) 28 1 B (b) M A (need each) sq tolerance on FE (c) 15% of 80 = 12 Yes, with correct conclusion 2 M1 looks up 68 or 40 min on cumulative frequency A1 correct conclusion Page 5

6 Q15 Answer Mark Additional Guidance (a) 12m 7 2 (b) 1 1 B1 cao (c) 8x y M1 for 2 x y x 1 or 8x y (k 18 k 0) Or 8x y (k k 3 0) or kx y (k , k 1) or 2x y 6 1 2x y 6 1 2x y 6 1 Q16 Working Answer Mark Additional Guidance (a) B1 cao (b) ( 10 6 ) M oe ( 10 6 ) Q17 Working Answer Mark Additional Guidance 3 M1 for adding with a common denominator of 12 and at least one equivalent fraction correct = M1 for or = A1 for = Q18 Working Answer Mark Additional Guidance 4 Page 6

7 Q19 Answer Mark Additional Guidance (a) , 0.6, B1 for Martin correct B1 for Luke correct (b) M1 for "0.2" "0.4" ft values from tree diagram if both < 1 Q20 Working Answer Mark Additional Guidance 15x + 10y = 55 4x 10y = 40 19x = 95 x = y = 11 2y = 4 y = 2 x = 5 y = 2 4 M1 for correct multiplication and use of correct operation to eliminate either x or y, condone one arithmetical error A1 for either x = 5 or y = 2 M1 (dep) for substitution of found variable into either equation A1 for correct value of 2 nd variable OR M1 for correct rearrangement of 1 equation and substitution into 2 nd A1 for either x = 5 or y = 2 M1 (dep) for substitution of found variable into either equation A1 for correct value of 2 nd variable OR M1 for one line drawn M1 for second line drawn A1 for x = 5 A1 for y = 2 (SC : If no method marks awarded, score B1 for one value correct) Q21 Working Answer Mark Additional Guidance 3 B1 B1 B1 Page 7

8 Q22 Working Answer Mark Additional Guidance Histogram OR Cumulative Frequency polygon 6 B1 Scales labelled and also marked on the vertical axis with frequency density or with cumulative frequency M1 frequency densities calculated, at least one non-trivial one correct. A1 all correctly plotted (M1 cumulative frequencies correct) 82% M1 Use 50 on the horizontal scale of CF diagram read off vertical axis ( ) or Use 50 on the horizontal scale of a histogram and covert area to the left to a frequency M1 convert to a percentage A Total for Question: 6 marks Q23 Working Answer Mark Additional Guidance x = x = x = x = M1 for or (dots MUST be included) M1 for two correct recurring decimals that, when subtracted, leave a terminating decimal A1 for Q24 Working Answer Mark Additional Guidance πx 2 (2x) = π(x) 2 h 6x 3 M1 for a correct volume formula in terms of x, e.g. πx 2 (2x) or πx 2 h A1 for π(2x) = πh or 3πx 2 (2x) = πx 2 h or x 2 (2x) = A1 for 6x cao x 2 h (or better) Page 8

9 Q25 Answer Mark Additional Guidance (a) Curve 2 B2 parabola max (0, 0), through ( 2, 4) and (2, 4) Tol ½sq (B1 parabola with single maximum point (0, 0) or through ( 2, 4) and (2, 4),but not both or the given parabola translated along the y-axis by any other value than 4 - the translation must be such that the points (0, 4), ( 2, 0), (2, 0) are translated by the same amount. Tol ½sq) (b) Curve 2 B2 parabola max (0, 4), through ( 4, 0) and (4, 0) Tol ½sq (B1 parabola with single maximum point (0, 4)) Tol ½sq Page 9

10 (b) Page 10