Download [PDF] April 2017 CAIE P1 Questions 1112 Mathematics Cambridge Lower Secondary Checkpoint

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This document consists of 15 printed pages and 1 blank page. IB17 05_1112_01/5RP © UCLES 2017 [Turn over  Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/01 Paper 1 April 2017 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 2017 1112/01/A/M/17 1 Work out angles a, b and c in the diagram. 32°85° abc NOT TO SCALE 2 Mia, Lily, Mike, Jamila and Oliver each record the time they take to do their homework. Mia takes t minutes. The table gives information about the time the four other students take. Complete the table. Description Expression for time (minutes) Lily takes 20 minutes longer than Mia. t + 20 Mike takes twice as long as Mia. Jamila takes 10 minutes less than Mia. Oliver takes . 2 t [3] a = ° [1] b = ° [1] c = ° [1]

3 © UCLES 2017 1112/01/A/M/17 [Turn over 3 Ahmed has 10 tins in his cupboard. Five contain soup, three contain peas and two contain beans. Ahmed takes a tin from his cupboard without looking. Four events are: A Ahmed picks a tin containing beans. B Ahmed picks a tin containing soup. C Ahmed picks a tin containing oranges. D Ahmed picks a tin containing peas. Place arrows on the probability scale to show how likely each of the events is. The first one has been done for you. 0 0.5 1A [2] 4 These cards show the heights of six plants. 86 cm 132 cm 1 m 6 cm 1.6 m 1 m 20 cm 1.15 m Arrange the heights in order of size, starting with the tallest. Two cards have been done for you. 132 cm 1.15 m tallest shortest [1]

4 © UCLES 2017 1112/01/A/M/17 5 The table and frequency diagram show some information about the number of customers visiting a shop on each of the last 50 Mondays. Number of customers Frequency 10 – 14 11 15 – 19 21 20 – 24 10 25 – 29 30 – 34 Total 50 10 – 14 0 4 8 12 16 20 24 15 – 19 20 – 24 Number of customers FrequencyMondays 25 – 29 30 – 34 (a) Use this information to complete the table. [1] (b) Complete the frequency diagram. [1]

5 © UCLES 2017 1112/01/A/M/17 [Turn over (c) The number of customers using the shop on the last 50 Tuesdays is shown in this frequency diagram. 10 – 14 0 4 8 12 16 20 15 – 19 20 – 24 Number of customers FrequencyTuesdays 25 – 29 30 – 34 Youssef says, “The modal class is the same for the last 50 Mondays and Tuesdays.” Tick () to show if Youssef is correct. Yes No Explain your answer. [1]

6 © UCLES 2017 1112/01/A/M/17 6 The graph shows three straight lines A, B and C. A – 1 1234 – 1 1 2 3 4 y x 5 6 0 5 6 78 9 10 B C (a) Put a ring around the equation of line A. x + 5 = 0 x = 5 y = 5 y = 5x [1] (b) Write down the equation of line B. [1] (c) Tick () to show whether each of these facts about line C is true or false. True False The point (2, 4) lies on line C. The y-coordinate is always two more than the x-coordinate. The equation is y = 2x. [1]

7 © UCLES 2017 1112/01/A/M/17 [Turn over 7 The diagram shows a row of 7 triangles made from matches. The number of matches needed to make a row of t triangles is given by the expression 2t + 1 Work out the number of matches needed for a row of 36 triangles. [1] 8 (a) Change 52 to a decimal. [1] (b) Write an integer in each box to make the statement true. 21 52

8 © UCLES 2017 1112/01/A/M/17 9 Calculate 23.456 – 1.78 [1] 10 Use the information in the box to write down the value of each of the following. 27.6 × 4.1 = 113.16 (a) 2.76 × 4.1 [1] (b) 113.16 ÷ 41 [1] (c) 13.8 × 8.2 [1] 11 Find 12% of $34 $ [1]

9 © UCLES 2017 1112/01/A/M/17 [Turn over 12 Angelique and Safia each go for a run. The travel graph shows their runs. 0 102030 0 1 2 3 4 5 Distance from home (km)6 40 50 60 70 Time (minutes)80 90 100 110 Angelique Safia (a) Angelique and Safia both stopped during their runs. Work out how much longer Angelique stopped than Safia. minutes [1] (b) Complete the sentences. runs the furthest distance. She runs km in total. [1] (c) Safia runs faster than Angelique. Explain how the graph shows this. [1]

10 © UCLES 2017 1112/01/A/M/17 13 360 can be written as 2 x × 3 y × 5, where x and y are positive integers. Work out the value of x and the value of y. x = y = [2] 14 Chen throws two six-sided dice. He records the difference between the two scores. Complete this table showing the possible outcomes. 6 5 4 3 2 65 54 43 32 21 10 01 43 32 21 1001 1 2 11 00 1 15 1 Second dice First dice [1]

11 © UCLES 2017 1112/01/A/M/17 [Turn over 15 Write the missing number in each box. [1] [1] 16 Apples cost $1.85 per kilogram. Work out the cost of 1.6 kilograms of apples. $ [2] 17 The coordinates of point A are (1, 2) and the coordinates of point B are (–3, 4). Find the midpoint of the line AB. ( , ) [2] (a) 0. 25 × 10 3 = (b) ÷ 10 –1 = 25

12 © UCLES 2017 1112/01/A/M/17 18 Write the missing numbers in the boxes. [2] 19 A quadrilateral is shown on the grid. y x 10 8 6 4 2 0 – 2 – 4 – 2 – 4 – 6246 810 Enlarge the quadrilateral by scale factor 3, centre (10, 4). [2]

13 © UCLES 2017 1112/01/A/M/17 [Turn over 20 Draw lines to match the equal values. 5 –1 0.125 5 –2 0.2 2 –3 0.25 3 –2 4% 2 2 1        9 1 [2] 21 Aiko needs 20 litres of paint. She mixes her paint using paint powder and water. She uses these mixing instructions. To make 200 ml of paint mix 40 g of paint powder with 120 ml of water The paint powder comes in packets of 0.6 kg. Work out how many packets of paint powder Aiko needs. [3]

14 © UCLES 2017 1112/01/A/M/17 22 Here are two rectangles. 1 1 2 3 4 5 6 7 –1 0 2 3 4 5 6 7 8A B y x 8 –1 (a) Give a description of the reflection that transforms rectangle A onto rectangle B. [1] (b) Give a description of a rotation that transforms rectangle A onto rectangle B. [2]

15 © UCLES 2017 1112/01/A/M/17 23 Put a ring around the calculations that have an answer greater than 42 42 × 0.17 42 ÷ 0.18 42 × 113 42 ÷ 85 [1] 24 Complete this multiplication grid. × 1.2 4 1 0.3 [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 2017 1112/01/A/M/17 BLANK PAGE