Edexcel Mathematics Foundation Tier, November 2009 (1380/1F) (Paper 1, non-calculator)

Transcription

1 Link to examining board: 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) 13⁰C b) 15⁰C c) 7pm d) The graph slopes downwards which shows that the temperature drops. The temperature drops from 15⁰C to 11⁰C Question 2 a) Three thousand, one hundred and four b) 2500 c) 4 thousand (4000) Question 3 a) = = 24 b) of 24 is the same as 24 3 which is 8 Question Page 1

2 a) Tuesday has 3 complete symbols and each symbol represents 8 bicycles so 3 x 8 = 24 bicycles were sold b) Wednesday has 2 and a half symbols so that means 2.5 x 8 = (2 x 8) + (0.5 x 8) = = 20 bicycles c) 16 bicycles is the same as 2 symbols 28 bicycles is the same as 3 whole symbols and one half of a symbol Tuesday Wednesday Thursday Friday Saturday Question 5 a) (2, 4) b) (-3, 1) c) Question Page 2

3 a) 5p, 2p and 1p b) i)the smallest amount of money she can make with 5 coins is by taking the 5 smallest value coins 1p + 1p + 1p + 2p + 2p = 7p ii) the largest amount of money she can make with 5 coins is by taking the 5 largest value coins 5p + 5p + 5p + 2p + 2p = 19p Question 7 a) 23, 33, 45, 57, 63 (starting with smallest first) b) -5⁰C, -3⁰C, 1⁰C, 4⁰C, 6⁰C (starting with smallest first) c) It would help here to write each number with the same number of decimal points (3 in this case) 0.32 = = = = = Now it is easier to compare 0.300, 0.315, 0.320, 0.379, Now we can put them back into their original form: 0.3, 0.315, 0.32, 0.379, 0.39 (starting with smallest first) Question 8 a) The line measures 6.9cm b) A B Warning: The above has been drawn to scale but may not appear to be the correct length when you view this or when you print. You should measure 3 cm away from point A Page 3

4 Question 9 a) The pentagon as order of rotational symmetry of 5. That means that you can turn it round 5 times and each time it looks the same before you get back to your starting position. b) line of symmetry shown in red c) Mirror line Page 4

5 Question 10 a) 3 x using BODMAS we must do the multiplication (M) before the addition (A) Easier to see with brackets (3 x 4) + 5 = = 17 b) 8 2 x 4 using BODMAS we must do the multiplication (M) before the subtraction (S) easier to see with brackets 8 (2 x 4) = 8 8 = 0 c) 42 (2 x 3) = 42 6 = 7 Question 11 a) There are 10 millimetres to every centimetre so to convert centimetres to millimetres we simply multiply by cm = 25 mm b) There are 1000 grams to a kilogram so to convert kilograms to grams we simply multiply by kg = 2000 g Page 5

6 Question 12 a) percentages must add up to 100 the total already there is = 85 so the missing percentage must be 15 (so that = 100) Flavour Percentage sales Plain 25% Salt & Vinegar 40% Cheese & Onion 20% Beef 15% note 1 Note 1: = 15% b) The highest percentage is 40% so Salt & Vinegar had the highest percentage sales. c) percent means literally per % = = = d) we need to find 20% of 200 of 200 x = x = = 40 packets Question 13 a) i) looking up the left hand side until we find 200 millilitres. Reading across this is just a tiny bit more than 7 fluid ounces. Say 7.1 fluid ounces. ii) looking up the right hand side until we find 4 fluid ounces. Reading across this is between 100 and 150 millilitres. The gap between 100 and 150 is about 10 mm and our reading is 3 mm up. Each mm must be about 5 millilitres so 3 mm is 15 millilitres. Our reading is 115 millilitres. b) 1) half way between 40 and 60 mph so this must be 50 mph. ii) we can see that this is a bit more than 20. If you imagine where 30 would be you can see that we are about a third of the way between 20 and where 30 would be. Say 23 or 24 mph Page 6

7 Question 14 Start by drawing a straight line of length 8 cm. Using a protractor or a set square measure out 90⁰. Then draw a line of length 4.5 cm. Finally connect the two ends to make the longest side. Warning. This diagram is unlikely to be the correct size when you view these solutions or print them off. However it is in the correct proportions. Question 15 a) There are 4 white chocolates out of a possible 7 so the probability is. b) There are 3 dark chocolates out of a possible of 7 so the probability is. Question 16 we need to have a common denominator in order to add or subtract fractions. Let the common denominator be 8. So we have = + = Page 7

8 Question 17 a) we simply substitute these values into the equation 15 x 6 = (10 x 6) + (5 x 6) = = 90p b) The total charge of 75p means the total charge of the black and white copying. If there were 25 copies then we can form this equation: 25 x copy rate = 75p working backwards, divide both sides by 25 copy rate = = 3p Question 18 a) 740 x 234 this is very similar to the original equation except that we are now multiplying by 740 instead of 74. So our answer will now be 173,160 (instead of 17,316) b) 74 x 2.34 this is very similar to the original equation except that we are now multiplying by 2.34 instead of 234. So our answer will now be (instead of 17,316) In both of the above we know that the answer will involve the digits and we could just use estimations to work out the answers. 740 x x 200 = (so actual answer will be 173,160). 74 x x 2 = 140 (so actual answer will be ) Page 8

9 Question 19 a) X Y -2 note note 2 6 note 3 8 note 4 note 1: when x = -2 then y = (2 x -2) + 2 = = -2 note 2: when x = 1 then y = (2 x 1) + 2 = = 4 note 3: when x = 2 then y = (2 x 2) + 2 = = 6 note 4: when x = 3 then y = (2 x 3) + 2 = = 8 b) c) i) when x = -1.5 then y = -1 (see red dashed line) ii) when y = 7, then x = 2.5 (see other red dashed line) Page 9

10 Question 20 a) the bearing of B from A (measure clockwise from the North at A) is 060⁰ b) measure 160⁰ clockwise from North at B. Then make this line 4cm long. Question 21 a) Looking at the 2004 pie chart the area labeled Bronze is bigger than the area labeled Gold so Sally is right. b) Ben is comparing areas of Silver in two separate pie charts. We should only do this if they both represent the same number of pieces of data (and are the same size). In 2004 the angle for Silver is about 110⁰ which is very roughly one third of 360⁰. In 1996 the angle for Silver is about 190⁰ which is just over half of 360⁰. It could be that in 2004 the United Kingdom won a much larger number of Olympic medals than they did in This could mean that roughly one third of the figure in 2004 is actually more than one half of the figure in Page 10

11 Question 22 Question x 12 = (423 x 10) + (423 x 2) = = x Page 11

12 Question 24 a) b) Page 12

13 c) Question 25 a) 1. There is no time unit. How much do you spend on your mobile phone per week/day/ year etc 2. What if you spend less than 1 or more than 15? 3. What box do you tick if you spend 5 or 10? (there are overlaps) b) How much money do you spend using your mobile phone per month? Please tick one box only. 0 to to to or more Page 13

14 Question 26 area of one face would be 5 x 5 = 25 cm 2. A cube has 6 identical faces so the total surface area will be 6 x 25 = 150 cm 2 Question 27 If he buys p packets of batteries with 4 in each packet he will have 4p batteries If he buys b boxes of batteries with 20 in each box he will have 20b batteries In total he will have 4p + 20b = N batteries 4p + 20b = N Question 28 We need to round each number to one significant figure To get rid of the decimal on the denominator multiply the denominator and the numerator by 10 to get = = 15 x 5 x 10 = 75 x 10 = Page 14

15 Question 29 a) y(2y 3) = 2y 2 3y b) x 2 4x = x(x 4) c) k could be -1, 0, 1 or 2 If you found this paper helpful then visit where you will find plenty more. It should be noted that Chatterton Tuition is responsible for these solutions. The solutions have not been produced nor approved by Edexcel. In addition these solutions may not necessarily constitute the only possible solutions Page 15