Mathematics AQA. Paper 1 (Non-Calculator) Foundation Tier. Churchill Paper 1A Marking Guide. For

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For AQA Mathematics Paper 1 (Non-Calculator) Foundation Tier Churchill Paper 1A Marking Guide Method marks (M) are awarded for a correct method which could lead to a correct answer Accuracy marks (A)

1 For AQA Mathematics Paper 1 (Non-Calculator) Foundation Tier Churchill Paper 1A Marking Guide Method marks (M) are awarded for a correct method which could lead to a correct answer Accuracy marks (A) are awarded for a correct answer, having used a correct method, although this can be implied (B) marks are awarded independent of method Written by Shaun Armstrong This paper is part of a product for use in the single school or college that has purchased the licence. However, this paper is available as a sample that can be used without licence. 017 AF1A Marks Page 1 Churchill Maths Limited

2 Churchill Paper 1A Marking Guide AQA Foundation Tier = Total Total 1 3 radius chord tangent arc Total = 8 7 = Total 1 5 (a) 4p (b) 7m + 3n B Total 3 6 (a) 10 (b) No. who chose Dog = 1 Total number = = = is more than so Mona is correct A1 Total 4 7 e.g. A hot dog with cheese costs = p = 1 35p = 0.65 They can't afford 7 hot dogs with cheese but they can afford 6 A1 A hot dog costs = p = = They can afford 7 hot dogs By not having the cheese they can afford an extra hot dog Lennie is correct A1 Total AF1A Marks Page Churchill Maths Limited

3 8 (a) = 3.55 (b) 5 = 4 10 So = 3 10 (c) 4 3 = 1 So = 0.1 Total 3 9 (a) ( 4, 3) (b) y 6 D A 4 M C 4 B O 4 6 x (c) [e.g. rectangle completed on grid] (, 5) A1 Total 4 10 (a) (b) = = = 170 A1 Total Total AF1A Marks Page 3 Churchill Maths Limited

4 1 AB = BD so triangle ABD is isosceles Hence, angle BDA = angle BAD = 34º Angles in a triangle add up to 180º So angle ABD = = 11º Angles on a straight line add up to 180º So angle CBD = = 68º BD = CD so triangle BCD is isosceles Hence, angle BCD = angle CBD = 68º Angles in a triangle add up to 180º So angle a = = 44º A1 Total = 35 60p = = = = Total 1 14 (a) = = 3. (b) 5y = y y = 18 y = 6 A1 Total 3 15 (a) e.g. She can not be sure of this because 10 is a very small number of trials (b) No. of times red bead picked = = 7 No. of trials = 40 P(Faria picks a red bead) = 7 40 A1 Total 3 16 Area of cross-section of block = = 18 cm A1 Area of cross-section of house = 5 18 = 90 cm Volume of house = 90 L = 990 L = = 99 9 = 11 A1 Length of block = 11 cm Total AF1A Marks Page 4 Churchill Maths Limited

5 17 (a) e.g = 4 7 A1 (b) e.g = 5 7 HCF = 7 = 8 A1 Total 4 18 (a) ( 1) 3 (b) 4a = ( 4 8 ) 4a b = ( 4 8 ) ( 1) 3 = ( 1 9 ) A1 Total 3 19 (a) 1 chain costs = 9 1 bead costs = spacer costs = heart charm costs = 4 Total = 9 + (8 1.50) + (4 0.90) + 4 = = 8.60 A1 (b) Profit on 1 bracelet = = Profit on 15 bracelets = = = = A1 Total Next term = 3 54 = Total AF1A Marks Page 5 Churchill Maths Limited

6 = = 00 So there are 00 girls and 300 boys in the club 10% of 500 = 50 0% of 500 = 100, so there are 100 more child members 16% of 100 = 16 16% of 300 = 3 16 = 48, so there are 48 more boys = 5, so there are 5 more girls % increase in no. of girls = 5 00 = 5 100% % = 6% A1 Total 4 (a) < x 7 (b) N < 30 N < 15 3N > 40 N > N is between 13 1 and 15 3 As N is a whole number, N = 14 A1 Total 3 3 Last week = 100% This week = 10% = 40 So, 10% = 40 1 = 0 100% = 10 0 = 00 A1 Leanne sent 00 s last week Total 4 (a) Jeremy marks 1 homework in 60 1 = 5 minutes Kira marks 1 homework in = 4 minutes Liz marks 1 homework in 6 minutes Therefore Kira is the quickest A1 (b) In 0 minutes Jeremy marks 4 homeworks and Kira marks 5 homeworks Together they mark 9 homeworks in 0 minutes 36 9 = 4 so they take 4 0 = 80 minutes 4.30 pm + 80 minutes = 5.30 pm + 0 minutes = 5.50 pm A1 They finish marking at 5.50 pm Total 5 5 Area of rectangle = = 180 cm Four quarter-circles have the same area as one whole circle Radius = 10 = 5 cm Area of circle = π 5 = 5π cm Shaded area = 180 5π cm A1 Total AF1A Marks Page 6 Churchill Maths Limited

7 6 + 3 = = = Total 1 7 The angles in a triangle add up to 180º so 4x + 3x x 8 = 180 1x + 1 = 180 1x = 168 x = 14 4x = 56, 3x + 0 = 6 and 5x 8 = 6 A1 As angle ABC = angle ACB the triangle is isosceles The two sides opposite the equal angles are the same length Hence, AB = AC A1 Total 4 8 Let a baguette cost b and a roll cost r So, 3b + r = 3 (1) b + 4r = () (1) 6b + 4r = 6 (3) (3) () 5b = 4 b = 4 5 = 0.8 Sub () r = 4r = 1. r = 1. 4 = 0.3 So a baguette costs 0.80 which is 80p and a roll costs 30p Lee pays 80p p = = 3.10 A1 Total 4 TOTAL FOR PAPER: 80 MARKS 017 AF1A Marks Page 7 Churchill Maths Limited

Mathematics AQA. Paper 1 (Non-Calculator) Higher Tier. Churchill Paper 1A Marking Guide. For

Mathematics AQA. Paper 1 (Non-Calculator) Higher Tier. Churchill Paper 1A Marking Guide. For For AQA Mathematics Paper (Non-Calculator) Higher Tier Churchill Paper A Marking Guide Method marks (M) are awarded for a correct method which could lead to a correct answer Accuracy marks (A) are awarded