Cambridge International Examinations Cambridge . - The Maths Mann

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Cambridge International ExaminationsCambridge Secondary 1 Checkpoint 1112/01MATHEMATICSPaper 1October 20161 hourCandidates answer on the Question Paper.Additional Materials:Geometrical instrumentsTracing paper (optional)READ THESE INSTRUCTIONS FIRSTWrite 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.NO 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.This document consists of 16 printed pages.IB16 10 1112 01/6RP UCLES 2016[Turn over

21Here is a formula.y 8xUse this to calculate(a) y when x 30y [1]x [1](b) x when y 562Draw a line to match each description to one shape.The first one has been done for you.one reflex angle and four sidesRectangletwo equal sides and one unequal sideQuadrilateralfour equal anglesPentagonfive anglesIsosceles trianglesix sidesHexagon[1] UCLES 20161112/01/O/N/16

33The sum of the three numbers on each side of the triangle equals 100Use the numbers 50, 59, 26, 24 and 15 to complete the diagram.Write one number in each box.35[2]4(a) Complete these calculations.0.64 6406400 64 6.4 100[2](b) Write down in words the value of the digit 4 in each of these numbers.The first one has been done for you.NumberValue of digit 4249.64 tens0.48740.02484[1] UCLES 20161112/01/O/N/16[Turn over

45The grid shows the positions of three points A, B and C.y6A5432B1 4 3 2 1 0 1123456x 2 3C 4(a) Write down the coordinates of C.(,)[1](b) ABCD is a rhombus.Plot the position of point D on the grid.[1]6Complete these statements.(a) 35% of 60 (b) 25% of UCLES 2016[1] 20[1]1112/01/O/N/16

57Bobbie scores m marks in a test.(a) Dan scores two marks less than Bobbie.Write down an expression for Dan’s mark in terms of m.[1](b) Georgia scores three times as many marks as Bobbie.Write down an expression for Georgia’s mark in terms of m.[1]8(a) A bottle contains 250 millilitres of lemonade.Work out how many litres of lemonade there are in 6 of these bottles.litres[1](b) Jenny has a suitcase with a mass of 18.1 kg and a handbag with a mass of 800 g.Work out the total mass of Jenny’s suitcase and handbag in kilograms.kilograms UCLES 20161112/01/O/N/16[1][Turn over

69Work out the lowest common multiple of 6 and 10[1]10 The diagram shows the net of a cuboid.The areas of some of its faces are shown.NOT TO SCALE2cm2cm224 cm232 cm2cmcmcm12 cm2cmThe side lengths of the cuboid are all whole numbers.Complete the diagram to show the missing side lengths of the cuboid and the areas of theother faces.[3] UCLES 20161112/01/O/N/16

711 The graph shows Sophia’s journey from Santiago to Rancagua.100908070Distance from Santiago 60(kilometres)504030201001 pm2 pm3 pm4 pm5 pm6 pmTimeChen travels the reverse journey from Rancagua to Santiago.He leaves Rancagua at 2.30 pm and arrives at Santiago at 5.15 pm.He travels at a constant speed.(a) Draw a line on the graph to show Chen’s journey.[1](b) Write down the distance they were from Santiago when they passed each other.kilometres UCLES 20161112/01/O/N/16[1][Turn over

812 Work out2.55 3.6[2]13 The exterior angle of a regular polygon is 72 .Work out the number of sides of this polygon.[1]14 One of these statements is wrong.Put a cross ( ) next to the statement that is wrong.48 20 48 2 1048 20 48 5 10048 20 20 4848 20 48 (4 5)[1] UCLES 20161112/01/O/N/16

915 Work out2 5 3 1 3 7 [2]16 Complete the table by ticking ( ) the correct column for each measurement.Less than 1 litreEqual to 1 litreMore than 1 litre1400 millilitres1000 cm3100 000 mm3[2] UCLES 20161112/01/O/N/16[Turn over

1017 (a) The diagrams show the plan and elevations for a 3D shape.planfront elevationside elevationTick ( ) which 3D shape the plan and elevations show.[1] UCLES 20161112/01/O/N/16

11(b) Here is a drawing of a cuboid measuring 2 cm by 4 cm by 6 cm.A different cuboid measures 2 cm by 3 cm by 5 cm.Draw this cuboid on the isometric paper below.[1] UCLES 20161112/01/O/N/16[Turn over

1218 A shape is made from 6 cubes.Write down the number of planes of symmetry for this shape.[1]19 Calculate(a)34 19 36 1935[2](b)54 227[2] UCLES 20161112/01/O/N/16

1320 The graph shows the line with equation 2y 3x – 1y87654321 4 3 2 10x12345678 1 2 3 4(a) Find the gradient of the line.[1](b) Draw the line x 2y 7 on the grid.[2](c) Use your answer from part (b) to solve the simultaneous equations2y 3x – 1x 2y 7x UCLES 20161112/01/O/N/16y [1][Turn over

1421 A restaurant manager records the time (in minutes) that customers wait for their food to beserved.The back to back stem-and-leaf diagram shows his results for customers eating atlunchtime and in the 413154556677879889Key: 2 3 1 represents 32 minutes at lunchtime and 31 minutes in the evening.Some summary information about these times is shown in the table.LunchtimeMedian time (minutes)Range (minutes)Evening2124(a) Complete the table.[2](b) Tick ( ) to show when waiting times were generally longer.At lunchtimeIn the eveningExplain how you can tell from the values in your table.[1] UCLES 20161112/01/O/N/16

15(c) Tick ( ) to show when waiting times were more spread out.At lunchtimeIn the eveningExplain how you can tell from the values in your table.[1]22 Hassan is investigating how long it takes people to travel to work.He designs a data collection sheet.The first column is shown here.Time (t minutes)0 t t t t 60Write the missing values so that all intervals have equal width.[1]23 Write the correct fraction in the box. 34 12 16[2] UCLES 20161112/01/O/N/16[Turn over

1624 The diagram shows a triangle drawn on a grid.y121110987654321012345678Enlarge the triangle with scale factor 3 and centre (5, 4).9101112x[2]Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Everyreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, thepublisher 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 CambridgeInternational Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download atwww.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 LocalExaminations Syndicate (UCLES), which is itself a department of the University of Cambridge. UCLES 20161112/01/O/N/16

Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/01 Paper 1 October 2016 1 hour Candidates answer on the Question Paper. . Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. .

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