1MA0/2F Edexcel GCSE Mathematics (Linear) 1MA0 Practice Paper 2F (Calculator) Set C Foundation Tier Time: 1 hour 45 minutes

Transcription

1 MA0/F Edexcel GCSE Mathematics (Linear) MA0 Practice Paper F (Calculator) Set C Foundation Tier Time: hour 45 minutes Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Items included with question papers Nil Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided there may be more space than you need. Calculators may be used. Information The total mark for this paper is 00. The marks for each question are shown in brackets use this as a guide as to how much time to spend on each question. Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression. Advice Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end. This publication may be reproduced only in accordance with Edexcel Limited copyright policy. 00 Edexcel Limited. Printer s Log. No. PMA0CF

2 GCSE Mathematics MA0 Formulae: Foundation Tier You must not write on this formulae page. Anything you write on this formulae page will gain NO credit. Area of trapezium = (a + b)h Volume of prism = area of cross section length

3 Answer ALL TWENTY ONE questions Write your answers in the spaces provided. You may use a calculator in this paper. You must write down all the stages in your working.. (a) Write down the mathematical name of each of these two -D shapes. (i) () The diagram shows a solid triangular prism. Diagram NOT accurately drawn (b) Write down (i) the number of faces the number of edges (iii) the number of vertices () (Total 5 marks)

4 . The pictogram shows the number of lipsticks sold by a shop on each of Monday, Tuesday and Wednesday. Monday Tuesday Wednesday Thursday Friday Key = 44 packets lipsticks (a) (i) Write down the number of lipsticks sold on Wednesday. Write down the number of lipsticks sold on Monday. 6 lipsticks were sold on Thursday. 0 lipsticks were sold on Friday (b) Use this information to complete the pictogram. () (Total 4 marks) () 4

5 . y 5 4 A 5 4 O 4 5 x 4 5 The point B has coordinates (, 4). (a) On the grid, plot and label the point B. () (b) Write down the coordinates of the point A. (c) Write down the coordinates of the midpoint of the line joining point A to point B. (., ) () (., ) () (Total 4 marks) 5

6 4. Imran has just four coins in his pocket. He has two 0p coins, one 50p coin and one coin. Work out the total amount of money in Imran s pocket... () Gil has just five coins in her purse. She has a total of.7 What coins could Gil have in her purse? Lynda has a presentation set of UK coins. The set contains one each of every UK coin. Work out the total value of the coins in the presentation set... ().. () (Total 5 marks) 6

7 5. (a) Put these numbers in order of size. In each case, start with the number with the least value. (i) (b) Work out the value of (i)... () () (Total 4 marks) 6. (a) Write down a sensible metric unit for measuring (i) the distance from London to Paris, the weight of a pencil () (b) (i) Change 5 centimetres to millimetres. Change 4000 grams to kilograms.... mm... kg () (Total 4 marks) 7

8 *7. The table shows information about some student s favourite football team. United City Rovers Latics Wanderers Boys Girls On the grid, represent this information in a suitable diagram or chart. 8 (Total 4 marks)

9 8. The length of a flight from Krakow to Liverpool is hours 50 minutes. The 7 5 (Krakow time) flight from Krakow to Liverpool is delayed by 75 minutes. The time in Krakow is one hour ahead of the time in Liverpool. Work out the time (Liverpool time), that the flight is due to arrive in Liverpool. There are 8 passengers on the flight. Two thirds of the passengers did not have a meal during the flight. How many passengers had a meal during the flight?.. ()... () (Total 6 marks) 9

10 9. 45º º yº (a) (i) Work out the size of the angle marked y. Diagram NOT accurately drawn. Give a reason for your answer () 08º xº 4º yº Diagram NOT accurately drawn (b) (i) Work out the value of x. x =.. Work out the value of y. y =. () (Total 5 marks) 0

11 0. Sarah watched cars as they passed her house. She counted the number of people in each of 0 cars. These numbers are shown below (a) Complete the frequency table. Number of people in a car 4 5 Tally Frequency () (b) Write down the mode of the number of people in a car.... () (c) Work out the mean number of people in each car.... () (Total 6 marks). (a) Simplify 4m + 7m... () (b) Simplify p p... () (c) Simplify x + 5y +8x + y... () (d) Multiply out 5(w + 6)... () (Total 5 marks)

12 *. Harry has a bowl of flakes for breakfast each morning. In each bowl he has on average 5 g of flakes. A box contains 500 g of flakes. (a) Will one box last more than two weeks? You must show all of your working. Harry is on a diet. He is allowed to eat food containing no more than 000 calories per day. In one bowl of flakes, there are 0 calories. (b) What percentage is one bowl of flakes of his daily allowance?. () Each box of flakes is in the shape of a cuboid. The dimensions of a box are cm by 7 cm by 0 cm. (c) Work out the volume of each box.... calories ().. () (Total 8 marks)

13 . Amy has organised a Christmas party for some children. Each child will get a party bag. Each party bag contains; balloon, bar of chocolate, and toy. Amy buys some packets balloons. Each packet contains 0 balloons. She buys some boxes of chocolate bars. Each box contains 8 chocolate bars. She also buys some packets of toys. Each packet contains toys. A packet of balloons costs.0 A box of bars of chocolate costs 4.50 A packet of toys costs.0 Work out the total cost of the contents of one party bag. Amy makes up all of the party bags. There are no balloons, chocolate bars or toys left over. Work out the least total number of party bags that Amy makes up.. ().. () (Total 6 marks)

14 4. Tom throws two ordinary coins once. (i) On the probability scale, mark with a cross ( ) the probability that the coins will both show tails. 0 On the probability scale, mark with a cross ( ) the probability that the coins will show at least one head. 0 (Total marks) students each chose a PE activity. They chose one of swimming, athletics or tennis. 0 out of the 7 girls chose swimming. 7 boys chose athletics. 9 students chose swimming. students chose tennis. One student is selected at random. Work out the probability that this student is a boy who chose tennis.. (Total 4 marks) 4

15 6. Here are two trapeziums. xº 45º y cm 6 cm 6 cm 4 cm cm w cm The larger trapezium is an enlargement of the smaller trapezium with a scale factor of 4 (a) Find the value of Diagram NOT accurately drawn (i) w, x, (iii) y. w = x = y = () (b) Work out the area of the larger trapezium... cm (Total 5 marks) () 5

16 7. P = a + 5b Work out the value of P when a = 6 and b = P =... Work out the value of P when a = 5.8and b =.4 P =... (Total marks) *8. The diagram shows a wall in Vicky s living room. 5.7 m Diagram NOT accurately drawn.8 m Vicky plans to wallpaper this wall. She buys some rolls of wallpaper. Each roll of wallpaper is 5 cm wide and m long. The cost of one roll of wallpaper is.45 Work out the cost of wallpapering the wall.. (Total 5 marks) 6

17 9. (a) Factorise p + p () (b) Expand and simplify 4(x ) ( x) () (Total marks) 0. Angela earns 5 40 a year. She has to pay income tax. She is allowed to earn 6475 before paying tax. She pays 0% tax on the rest. Her employer deducts the income tax each month. Work out how much income tax Angela gets deducted each month. 7. (Total 4 marks)

18 *. Jo wants buy a 50cc Retro Scooter. She looks on the internet and sees these two advertisements. Atlas Motor Cycles 50cc Retro Scooter Simpson s Scooters 50cc Retro Scooter 649 plus delivery 69 + FREE delivery up to 0 miles (delivery charge of.50 for each mile over 0 miles. This graph is used to calculate Atlas Motor Cycles delivery charge for different distances. The delivery charge is made up of a fixed charge and a cost per mile. Delivery charge ( ) O Distance (miles) 8

19 Jo lives 7 miles from Atlas Motor Cycles and 6 miles from Simpson s Scooters. (a) Work out the most economical way for Jo to buy a 50cc Retro Scooter. (b) Instead of giving a graph, what information could Atlas Motor Cycles have given to enable the delivery charge to be calculated? (5) () (Total 7 marks) END TOTAL FOR PAPER: 00 MARKS 9

20 GCSE MATHEMATICS MA0 LINEAR PRACTICE PAPERS SET C FOUNDATION TIER F Question Working Answer Mark Notes (a)(i) Cylinder Cuboid (b)(i) (iii) (a)(i) (b) 8 6 Pictogram: 4 faces and.5 faces (a) Plot (b) (-, ) (c) (0,.5) B cao [B for each correct coordinate, or (.5, 0)] 4(a).90 4(b), 50p, 0p, p, p B for any 5 coins totaling.7 [B for any number of coins totaling.7] 4(c) p + 0p + 0p + 5p + p + p.88 M for identifying all current coins A for.88 [B for a correct total when one coin is omitted]

21 GCSE MATHEMATICS MA0 LINEAR PRACTICE PAPERS SET C FOUNDATION TIER F Question Working Answer Mark Notes 5(a)(i) -7, -, 0,, 0.07, 0.7, 0.7,.7, 7 5(b)(i) (a)(i) Km g 6(b)(i) 7 Dual bar chart, comparative pie charts, Pictogram, etc 8(aq) B for a suitable diagram showing correct boys info B for a suitable diagram showing correct girls info C for all labels on each diagram C for a key (oe) distinguishing between boys and girls M for or or M for A cao 8(b) 9(a)(i) Sum of the angles at a point is M for / M for 8 A cao B for sum of the angles at a point is 60 oe 9(b)(i) 7 9 M for A cao

22 GCSE MATHEMATICS MA0 LINEAR PRACTICE PAPERS SET C FOUNDATION TIER F Question Working Answer Mark Notes 0(a), 7,, 5, B for fully correct table [B for at least correct frequencies] 0(b) 0(c) 56/0.8 M for summing the data (=56) M for division by 0 A cao (a) m (b) p (c) x + 7y B cao [B for x oe or 7y oe] (d) 5w + 0 (a) = 4.85 = over weeks Yes, since is more than two weeks M for A for 4.85 C for a correct conclusion from 4.85 (b) 0/000 x M for 0/000 x 00 A cao (c) x 7 x cm M for x 7 x 0 A cao B ft for correct units

23 GCSE MATHEMATICS MA0 LINEAR PRACTICE PAPERS SET C FOUNDATION TIER F Question Working Answer Mark Notes (a) 0/ /8 + 0/.56 M for 0/0 or 450/8 or 0/ = M for 0/ /8 + 0/ A cao (b) LC M of 0, 8 and = M for attempting to find a multiple of 0, 8 and M for LCM A cao 4(i) X at ¼ X at ¾ M for a sample space of TT TH HT HH oe A for X at ¼ A for X at ¾ 5 Sw Ath Ten Tot B G Tot /0 4 B for a fully correct -way table [B for ate least new pieces of information quoted, B for or new pieces of information quoted] B for /0 oe 6(a)(i) (iii) 8 cm 45 o 4 cm 6(b) ½ (6 + 4) x 8 60 M for ½ (6 + 4) x 8 A ft 7(i) x6 + 5x = x5.8-5x.4 = M for x x.4 A cao

24 GCSE MATHEMATICS MA0 LINEAR PRACTICE PAPERS SET C FOUNDATION TIER F Question Working Answer Mark Notes = = drops = = 4 drops per roll 4 =.74 = 4 rolls.45 x M for (= 0.75.) M for (= 4.8.) C for drops or 4 drops per roll C for 4 rolls required from correct arithmetic A for (a) p(p + ) 9(b) 4x + x 6x 4 M for 4x + x A cao = = 575 tax 575 = M for (= 8765) M for oe (= 575) M for 575 A for or (a) Delivery charge = 45 Atlas = = 694 Delivery charge =.5 x 6 = 65 Simpsons = = 694 The same price from both shops 5 B for reading from the graph of 4 to 47 M for Atlas = (= 694) M for.5 x 6 (= 65) A for 69 to 696 and 694 C for a correct conclusion from their costs. (b) Delivery charge = 4 +.5x where x = number of miles B for a standing charge of 4 B for.50/mile