Edexcel Mathematics Foundation Tier, November 2009 (1380/2F) (Paper 2, calculator)

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1 Link to examining board: As at the time of writing you can download this paper for free from the Edexcel website. Alternatively you can order directly from Edexcel by phoning on These solutions are for your personal use only. DO NOT photocopy or pass on to third parties. If you are a school or an organisation and would like to purchase these solutions please contact Chatterton Tuition for further details. Question 1 a) 72 b) 8.7 c) Question 2 a) i) the area is 8 cm 2 ii) the perimeter is (starting from top LH corner) = 14 cm b) Volume of a prism is area of cross section x length. The prism is 2 cm long and the area of the cross section (the face that is towards us) is 8 cm 2 so the volume is 8 x 2 = 16 cm 3 Question 3 a) the oldest girls is 13 and her name is Diana b) the girl who is 11 years old and has four pets is Charlotte c)the girl who has 3 pets and whose favourite subject is Art is Emma Page 1

2 Question 4 a) i) this is a cuboid (or a rectangular based prism) ii) this is a tetrahedron (or a triangular based pyramid) b) i) the number of faces are 5 (3 rectangles and 2 end triangles) ii) the number of edges is 9 Question 5 a) there are 8 sections of which 3 are shaded. The fraction that is shaded is. b) 0.7 is the same as c) 4 out of 10 squares are shaded, ie or. This is the same as 40%. Question 6 a) The train should leave Doncaster at 08:36 b) He has to wait from 09:15 to 09:26, that is 11 minutes. c) We need to add on 27 minutes to 09:58. This would give an arrival time of 10:25 Question 7 We don t know what the fourth flavour was. It hasn t been labelled. The scale on the y axis (frequency) is missing the unit 1. It jumps from 0 to 2 but then goes in steps of Page 2

3 Question 8 a) i) the next number is 21 ii) we know this because the term to term rule is to add 4. From 17 we add 4 to get 21. b) if the 25 th term is 101 then the 26 th term will be 105 ( ) Question 9 a) 10 2 = 10 x 10 = 100 b) 49 is the square root of 49 which is 7 c) 2 3 = 2 x 2 x2 = 8 Question 10 a) The odd numbers are 19 and 33 but only 33 is larger than 20. The answer is 33. b) A prime number is a number that has no factors other than 1 and itself. The prime number is 19. c) Two numbers with a difference of 10 are 18 and 28 (because = 10) d) A multiple of 9 is something that is in the 9 times table. We could choose 18 or Page 3

4 Question 11 a) This is a kite. b) R x c) The angle marked x is less than 90⁰ so is called an acute angle Question 12 a) The mode is the one that appears most often. There are three 7s so 7 is the mode. b) The range is the largest value take away the smallest value = 8 so the range is 8. c) The mean is the meanest of all as it is the most work. We add up all the numbers and divide by how many numbers there are = 45, there are 9 numbers = 5 The mean is 5. Question 13 a) 3p + 4p = 7p b) e x f x 5 = 5ef c) y 2 + y 2 + y 2 = 3y Page 4

5 Question 14 a) i) Angles on a straight line make 180⁰, so x = 180⁰ 65⁰ = 115⁰ ii) Angles on a straight line add up to 180⁰ b) Triangle ABC is an isosceles triangle (because AB = AC) so the angle at B will also be 65⁰. Angles in a triangle always add up to 180⁰. y = 180⁰ (65⁰ + 65⁰) = 180⁰ - 130⁰= 50⁰ ii) Triangle ABC is an isosceles triangle (because AB = AC) so the angle at B will be the same as the internal angle at C. Angles in a triangle always add up to 180⁰. Question 15 kilometres miles a) Draw a vertical line from 12 miles until it meets the graph. Then from here draw a horizontal line until it meets the kilometre s axis. Shown as a purple dashed line. 12 miles is equal to 19 kilometres b) Draw a horixontal line from 10 kilometres until it meets the graph. Then from here draw a vertical line until it meets the mile s axis. Shown as a red dashed line. 10 kilometres is equal to 6.2 miles. (actually this should be 6.25 miles) c)we can t use the graph to convert 100 miles as our graph doesn t extend that far. However we know 10 miles is equal to 16 kilometres so we can scale this up. Shown as a green dashed line. 100 miles = 160 kilometres Page 5

6 Question 16 a) Aimee received half of the votes. She received half of 84 which is 42 votes. b) Paul s share is 60⁰ out of a possible 360⁰ so his fraction of the votes is. This can be simplified to. Question 17 I kg of apples will cost oranges will cost (2 x 0.34) 0.68 kg of tomatoes will cost ( x 2.40) 1.80 Total cost is = 4.48 Question 18 3p + 5q input the values of p and q (3 x 2) + (5 x -4) = Page 6

7 Question 19 a) It always helps with conversions to draw a small table. Put in the data we know. We have 400 so put that in the column. Then whatever we did to the 1 to get to 400 we do the same to Francs note 1 Note 1: = 400 so 2.30 x 400 = 920 francs b) This time put 46 in the francs column. Then whatever we did to 2.30 to get 46 we do the same to 1. Francs note 2 46 Note 2: = 20, so 1 x 20 = 20 Question 20 a) If you want to key it in all in one go then you will need to use brackets. 8.7 x 12.3 ( ) = b) rounding this to 1 significant figure gives 30 Question 21 a) subtract 5 from both sides m = 7 b) divide both sides by 3 n = 12 c) multiply both sides by 5 x = 50 d) first subtract 7 from both sides 4y = 6 divide both sides by 4 y = Page 7

8 Question 22 a) Swimming Tennis Athletics Total Female 43 note 1 25 note note 5 Male note note 6 Total note note 1: = 43 note 2: 200 ( ) = = 67 note 3: = 25 note 4: = 35 note 5: = 87 note 6: = 113 Also note that = 200 b) a total of 79 students like swimming best. This is out of a possible 200. So the probability will be Page 8

9 Question 23 a) plane of symmetry shown in red b) Question 24 In order to be able to compare the two boxes we need to have the same weight for both. We can work out the weight per 1kg Small box: if 2kg costs 1.72 then 1kg will cost = 0.86 Large box: if 9 kg costs 7.65 then 1 kg will cost = 0.85 So large box is better value for money. Question 25 Rotation (direction is not important here as clockwise or anticlockwise gives the same result as the rotation is 180⁰), of 180⁰ about the centre (0, 1) Page 9

10 Question x = 423 (or 17.5 % of 360 =. x 360 = 63, then = 423) Question 27 a) If you draw a line of best fit through the points you would see that the line slopes downwards from left to right so shows negative correlation. This means that as the speed increases the time reduces. b) If we find the time 11 seconds then draw a vertical line (red dashed) until it meets the line of best fit then draw a horizontal line (red dashed)from the line of best fit to the y axis we can see that this meets at 121. The estimated maximum speed for a car that takes 11 seconds is 121 mph Page 10

11 Question 28 It helps to put the ratios into a table as below: Piece Piece Piece Total one two three cm Then we can see that if the total is 9 then this has been multiplied by 20 to get 180 (180 9 = 20) so we must multiply all the ratios by 20 as well. Piece Piece Piece Total one two three note 1 40 note 2 60 note cm note 1: 2 x 20 = 40 cm note 2: 3 x 20 = 60 cm note 3: 4 x 20 = 80 cm The longest piece of wood would be 80 cm Question 29 We know that the answer is between 3 and 4 so a good place to start would be to try 3.5. We will need to substitute 3.5 into the left hand side of the equation, then compare our answer to 60. If it is smaller then try again with a bigger value. If it is bigger then try again with a smaller value and so on. x x 3 2x x 3 + 2x comment too small too small too small too big We can see that 3.7 is too small but 3.8 is too big. One of these is our answer. In order to work out which one the answer is closest to, we need to see how far out each is. For 3.7 we are too small by ( ) For 3.8 we are too big by ( ) So we can see that 3.7 is closer. The solution to 1 decimal place is Page 11

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