Download [PDF] October 2018 CAIE P2 Questions 1112 Mathematics Cambridge Lower Secondary Checkpoint

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This document consists of 15 printed pages and 1 blank page. IB18 10_1112_02/4RP © UCLES 2018 [Turn over   Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/02 Paper 2 October 2018 1 hour Candidates answer on the Question Paper. Additional Materials: Calculator Geometrical instruments Tracing paper (optional) READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. Calculator allowed. You should show all your working in the booklet. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 50.

2 © UCLES 2018 1112/02/O/N/18 1 Work out. (6.5 + 3.2)(6.5 – 3.2) [1] 2 Pierre buys 56 litres of fuel for $103.60 Carlos buys 40 litres of the same fuel. Work out how much Carlos pays. $ [2]

3 © UCLES 2018 1112/02/O/N/18 [Turn over 3 The graph shows the temperature of a room at different times during one day. 08:00 17 18 19 20 21 10:00 12:00 14:00 Time  Temperature (°C) 16:00 18:00 20:00 Work out the difference between the temperature at 11 am and at 5.30 pm. C [2]

4 © UCLES 2018 1112/02/O/N/18 4 The graph shows the number of letters in 50 words from a page in a book. Write down (a) how many more four-letter words there are than five-letter words, [1] (b) the largest number of letters in a word. [1] Number of words12 10 8 6 4 2 0 12345 Number of letters678910

5 © UCLES 2018 1112/02/O/N/18 [Turn over 5 Some units of measurement are shown in the box. millimetres kilometres millilitres centimetres kilograms metres litres grams Choose the most appropriate unit from the box for each of these measurements. The capacity of a spoon. The mass of a piano. The distance travelled in an aeroplane. [2] 6 Mia chooses two of these numbers. 2 3 5 11 13 15 When she divides one number by the other the answer is 0.8 correct to one decimal place. Work out which two numbers she chooses. and [1]

6 © UCLES 2018 1112/02/O/N/18 7 Body mass index can be used to measure how healthy a person is. Body mass index = 2 H M M is mass in kilograms. H is height in metres. Yuri is 1.8 m tall and his mass is 64.8 kg. Calculate Yuri’s body mass index. [1] 8 Angelique has a fair six-sided dice. (a) Find the probability of throwing a multiple of 3 [1] (b) Angelique throws a different six-sided dice 120 times. The table shows her results. Score 1 2 3 4 5 6 Frequency 15 26 21 14 20 24 Work out the experimental probability of throwing a multiple of 3 [1]

7 © UCLES 2018 1112/02/O/N/18 [Turn over 9 Trapezium ABCD is shown on the grid. −4 y x D A 4 3 2 1 13572 −2 −1 4 6 8 −10 −2 −3 BC E is a point on line AB. Angle AED = 90° Mark E on the grid with a cross (). [1] 10 Manjit sells ice cream. On Monday, 80 men bought ice cream, 31 of these men chose chocolate flavour, 41% of the women who bought an ice cream chose chocolate flavour. Tick () to show if men or women are more likely to choose chocolate flavour ice cream. Men Women Show how you worked out your answer. [2]

8 © UCLES 2018 1112/02/O/N/18 11 The diagram shows a parallelogram. All sides are measured in centimetres. 3x + 5 x + 2 NOT TO  SCALE (a) Write down an expression, in terms of x, for the perimeter of the parallelogram. cm [1] (b) The perimeter of the parallelogram is 62 cm. Work out the length of the longest side of the parallelogram. cm [3]

9 © UCLES 2018 1112/02/O/N/18 [Turn over 12 Rotate shape Q by 90° clockwise about point C. Q C [1] 13 In 2012 there are 600 members of a sports club. In 2013 this increases to 744 members. Work out the percentage increase in the number of members of the sports club. %[2] 14 Tick () to show if each of these statements is true or false. True False 4328.418 rounded to 2 significant figures is 4328.42 21.87954 rounded to 3 decimal places is 21.88 7.568499 rounded to 3 decimal places is 7.568 0.004122 rounded to 4 significant figures is 0.004 [2]

10 © UCLES 2018 1112/02/O/N/18 15 In the United States a person’s mass is given in pounds. 100 pounds = 45.4 kg A woman’s mass is 63.6 kg Convert this to pounds. pounds [2] 16 A museum opens three days each week, on a Monday, Tuesday and Saturday. Hassam records the number of visitors on each day over a period of 20 weeks. He calculates the mean and the range for each of the three days. Monday Tuesday Saturday Mean 512 625 753 Range 364 353 207 Write down the day of the week that gets the most visitors. Give a reason for your answer. because [1]

11 © UCLES 2018 1112/02/O/N/18 [Turn over 17 Solve the simultaneous equations using an algebraic method. x + 2y = 13 3x + y = 24 You must show how you worked out your answers. x = y = [3] 18 A has coordinates (2, ‒2). B has coordinates (10, 14). C is the midpoint of AB. D is the midpoint of CB. Find the coordinates of D. ( , ) [3]

12 © UCLES 2018 1112/02/O/N/18 19 (a) A sequence begins 14 17 20 23 Write down a formula for the nth term of this sequence. [2] (b) The nth term of a different sequence is given by the formula 1 2nn Write down the first three terms of the sequence. , , [2] 20 Simplify. 81 4  x x [2]

13 © UCLES 2018 1112/02/O/N/18 [Turn over 21 The equation x 2 + 8x = 144 has a solution between x = 8 and x = 9 Use the method of trial and improvement to find the solution correct to one decimal place. Show all your working in the table. You may not need to use all the rows. x x 2 + 8x Comment 8 8 2 + 8 × 8 = 128 Too small 9 9 2 + 8 × 9 = 153 Too big x = [3]

14 © UCLES 2018 1112/02/O/N/18 22 The diagram shows trapezium ABCD. 127°10  cm 24  cm13  cm 15  cmBC D A 113° 67° 53°NOT TO  SCALE ABCD is enlarged. The centre of the enlargement is B and the scale factor is 3 Complete the sentences. The length of the longest side of the enlargement of ABCD is cm. The size of the smallest angle of the enlargement of ABCD is ° . [1] 23 Shirts are made from a mix of cotton and polyester. The ratio of cotton to polyester in two shirts is cotton : polyester Shirt A 13 : 7 Shirt B 3 : 2 By writing each ratio in the form c : 1, find which shirt contains the higher proportion of cotton. Shirt has the higher proportion of cotton. [2]

15 © UCLES 2018 1112/02/O/N/18 24 Here are the details of a flight from London to Hong Kong. Depart: London 20:20 local time Arrive: Hong Kong 16:50 local time the next day Flight time 12 hours 30 minutes The time in Hong Kong is a number of hours ahead of the time in London. Work out the number of hours ahead. hours [1] 25 6 × 6 × 6 a = 1 Work out the value of a. a = [1] 26 A farmer needs 10 grams of seed to plant one square metre of wheat. The farmer wants to plant a field of 15 hectares. Work out how many kilograms of seed he needs. kg [2]

16 Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after the live examination series. Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. © UCLES 2018 1112/02/O/N/18 BLANK PAGE