[PDF] Cambridge Secondary Checkpoint - Math (1112) October 2016 Paper 1.pdf | Plain Text

This document consists of 16 printed pages. IB16 10_1112_01/6RP © UCLES 2016 [Turn over   Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/01 Paper 1 October 2016 1 hour Candidates answer on the Question Paper. Additional Materials: 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. 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.

2 © UCLES 2016 1112/01/O/N/16 1 Here is a formula. y = 8 x Use this to calculate (a) y when x = 30 y = [1] (b) x when y = 56 x = [1] 2 Draw a line to match each description to one shape. The first one has been done for you. two equal sides and one unequal side four equal angles five anglessix sides Rectangle Pentagon Isosceles triangle Hexagon Quadrilateral one reflex angle and four sides [1]

3 © UCLES 2016 1112/01/O/N/16 [Turn over 3 The sum of the three numbers on each side of the triangle equals 100 Use the numbers 50, 59, 26, 24 an d 15 to complete the diagram. Write one number in each box. 35 [2] 4 (a) Complete these calculations. 0.64 × = 640 6400 ÷ = 64 × 100 = 6.4 [2] (b) Write down in words the value of th e digit 4 in each of these numbers. The first one has been done for you. Number Value of digit 4 249.6 4 tens 0.487 4 0.0248 4 [1]

4 © UCLES 2016 1112/01/O/N/16 5 The grid shows the positions of three points A, B and C. 123456 −1 −2 −3 −4 1 2 3 5 4 6 −1 −2 −3 −4   x y 0 A B C (a) Write down the coordinates of C. ( , ) [1] (b) ABCD is a rhombus. Plot the position of point D on the grid. [1] 6 Complete these statements. (a) 35% of 60 = [1] (b) 25% of = 20 [1]

5 © UCLES 2016 1112/01/O/N/16 [Turn over 7 Bobbie 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 m illilitres 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 [1]

6 © UCLES 2016 1112/01/O/N/16 9 Work out the lowest co mmon multiple of 6 and 10 [1] 10 The diagram shows th e net of a cuboid. The areas of some of its faces are shown. 24 cm 12 cm 2 2 32 cm 2      cm 2      cm 2      cm 2      cm      cm      cm NOT TO SCALE The 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 the other faces. [3]

7 © UCLES 2016 1112/01/O/N/16 [Turn over 11 The graph shows Sophia’s jour ney from Santiago to Rancagua. Time Distance from Santiago (kilometres) 1  pm 2  pm 3  pm 4  pm 5  pm 6  pm 90 80 70 60 50 40 30 20 10 0 100 Chen 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 fro m Santiago when they passed each other. kilometres [1]

8 © UCLES 2016 1112/01/O/N/16 12 Work out 2.55 × 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 ÷ 10 48 ÷ 20 = 48 × 5 ÷ 100 48 ÷ 20 = 20 ÷ 48 48 ÷ 20 = 48 ÷ (4 × 5) [1]

9 © UCLES 2016 1112/01/O/N/16 [Turn over 15 Work out            75 1 3 2 3 [2] 16 Complete the table by ticking ( ) the correct column for each measurement. Less than 1 litre Equal to 1 litre More than 1 litre 1400 millilitres 1000 cm 3 100 000 mm 3 [2]

10 © UCLES 2016 1112/01/O/N/16 17 (a) The diagrams show the plan an d elevations for a 3D shape. side elevation front elevation plan Tick (  ) which 3D shape the plan and elevations show. [1]

11 © UCLES 2016 1112/01/O/N/16 [Turn over (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]

12 © UCLES 2016 1112/01/O/N/16 18 A shape is made from 6 cubes. Write down the number of plan es of symmetry for this shape. [1] 19 Calculate (a) 35 19 36 19 34    [2] (b) 2754 2 [2]

13 © UCLES 2016 1112/01/O/N/16 [Turn over 20 The graph shows the lin e with equation 2 y = 3 x – 1 −1 −2 −3 −4 −4 −3 −2 −1 1 3 2547 8 6 0 8 7 6 5 43 2 1 y x (a) Find the gradient of the line. [1] (b) Draw the line x + 2 y = 7 on the grid. [2] (c) Use your answer from part (b) to solve the simultaneous equations 2 y = 3 x – 1 x + 2 y = 7 x = y = [1]

14 © UCLES 2016 1112/01/O/N/16 21 A restaurant manager records the time (in minutes ) that customers wait for their food to be served. The back to back stem-and- leaf diagram shows his results for customers eating at lunchtime and in the evening. Lunchtime Evening 9 8 8 0 9 9 8 6 5 2 1 0 1 2 4 5 5 7 7 8 8 9 5 5 3 2 1 2 0 1 4 6 7 9 2 3 1 3 5 6 8 4 0 1 2   3   1 Key: represents 32 minutes at lunchtime and 31 minutes in the evening. Some summary informa tion about these times is shown in the table. Lunchtime Evening Median time (minutes) 21 Range (minutes) 24 (a) Complete the table. [2] (b) Tick (  ) to show when waiting times were generally longer. At lunchtime In the evening Explain how you can tell from the values in your table . [1]

15 © UCLES 2016 1112/01/O/N/16 [Turn over (c) Tick ( ) to show when waiting times were more spread out. At lunchtime In the evening Explain 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 ≤ 60 Write the missing values so that all intervals have equal width. [1] 23 Write the correct fraction in the box. × 4 3 = 2 1 + 6 1 [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 ans wer-related information to candidates, all copyright acknowledgements are reproduced onl ine in the Cambridge International Examinations Copyright Acknow ledgements 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 As sessment Group. Cambridge Assessment is the brand name of Unive rsity of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.  © UCLES 2016 1112/01/O/N/16 24 The diagram shows a triangle drawn on a grid. 0 1234567891 0111 2 1 2 3 4 5 6 7 8 9 10 11 y x 12 Enlarge the triangle with scale factor 3 and centre (5, 4). [2]