Download [PDF] October 2020 CAIE P2 Questions 1112 Mathematics Cambridge Lower Secondary Checkpoint

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This document has 16 pages. Blank pages are indicated. IB20 10_1112_02/7RP © UCLES 2020 [Turn ove r   Cambridge Lower Secondary Checkpoint MATHEMATICS 1112/02 Paper 2 October 2020 1 hour You must answer on the question paper. You will need: Geometrical instruments Tracing paper (optional) INSTRUCTIONS Answer all questions. Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. Write your name, centre number and candidate number in the boxes at the top of the page. Write your answer to each question in the space provided. Do not use an erasable pen or correction fluid. Do not write on any bar codes. You should show all your working in the booklet. You may use a calculator. INFORMATION The total mark for this paper is 50. The number of marks for each question or part question is shown in brackets [ ].

2 © UCLES 2020 1112/02/O/N/20 1 Use a whole number to complete the statement. 3.15 × 0.04 = (3.15 × ) ÷ 100 [1] 2 Lily wants to count the number of cars of different colours that drive past her school. Design a data collection sheet that Lily could use. [2]

3 © UCLES 2020 1112/02/O/N/20 [Turn over 3 The diagram shows a cuboid. 11 cm 5 cm 4 cm NOT TO SCALE Calculate the volume of the cuboid. cm 3 [1] 4 The cost to hire a hall is $20 plus $15 per hour. (a) Write down a formula for the cost $ C to hire the hall for h hours. C = [1] (b) Use the formula to work out the cost to hire the hall for 6 hours. $ [1]

4 © UCLES 2020 1112/02/O/N/20 5 This shape is made from two rectangles . 8.2 cm 8.5 cm 3.2 cm 3.7 cm NOT TO SCALE Calculate the area of the shape. cm 2 [2] 6 Rajiv puts $2400 in a savings account. One year later it is worth $2580 Work out the annual rate of interest. % [2] 7 Draw a ring around the point which does not lie on the line y = 3 x + 2 (2, 8) (0, 4) (100, 302) (9, 29) [1]

5 © UCLES 2020 1112/02/O/N/20 [Turn over 8 A B C D E 7.2 cm 9.6 cm 12 cm 13 cm 5 cm 9.75 cm 16.25 cm NOT TO SCALE Write down the length of the hypotenuse of triangle BCE. cm [1] 9 Pink paint is made by mixing 9 parts of white paint with 5 parts of red paint. Find the number of parts of red paint needed to mix with 54 parts of white paint. [1]

6 © UCLES 2020 1112/02/O/N/20 10 (a) Here is a calculation. 87 ÷ 14 = 6 remainder 3 Draw a ring around the correct fraction for the answer to this calculation. 3 6 87 3 6 6 3 14 14 3 6 14 6 3 [1] (b) Use two whole numbers to complete this calculation. ÷ = 13 9 2 [1] 11 A set of data has fewer than 6 values. The median of the set of data is 5 but none of the values is 5 Write down a set of possible values for this data. [1] 12 Draw a ring around each of the two ratios that are equivalent. 2 : 3 4 : 3 3 : 2 6 : 8 15 : 10 [1]

7 © UCLES 2020 1112/02/O/N/20 [Turn over 13 Carlos carries out a survey on clubs at school. This is one of the questions in his survey. Do you agree that there should be more clubs to go to at school? Yes No Don’t mind Write down one reason why this is not a good question. [1] 14 Here is a scale drawing showing three cities. A B C The real-life distance from city A to city B is 140 km. Find the real-life distance from city B to city C . km [2]

8 © UCLES 2020 1112/02/O/N/20 15 The graph shows Angelique’s journey to work. 08:00 0 5 10 15 20 08:30 09:00 Time Distance from home (km) 09:30 10:00 Angelique Work (a) Write down the number of minutes Angelique stops for during her journey. minutes [1] (b) Safia takes exactly the same route to work. She leaves at 08:30 It takes her 45 minutes to get to work. She travels at a constant speed. Draw Safia’s journey on the grid. [1] (c) Safia passes Angelique on her way to work. Write down the time when she passes Angelique. [1]

9 © UCLES 2020 1112/02/O/N/20 [Turn over 16 (a) Chen throws a coin 120 times. He gets 54 heads. Write down the relative frequency that Chen gets a head. [1] (b) Jamila also throws a coin 120 times. The relative frequency that she gets a head is 0.575 Work out how many more heads Jamila gets than Chen gets. [2] 17 Write 252 as a product of its prime factors. [2]

10 © UCLES 2020 1112/02/O/N/20 18 A supermarket puts coloured labels on bottles of drinks to show how much sugar each contains per 100 m l . Each label is either green or yellow or red. Colour of label Amount of sugar per 100 m l of drink Green Less than 2.4 g Yellow Between 2.4 g and 6.2 g Red More than 6.2 g The supermarket sells lemonade in bottles containing 250 m l . Each bottle contains 14.5 g of sugar. Work out which colour label should be put on these bottles of lemonade. Draw a ring around your answer. Green Yellow Red Show how you worked out your answer. [2] 19 Calculate. 3 7 + 4.1 3.1× 0.2 [1]

11 © UCLES 2020 1112/02/O/N/20 [Turn over 20 40% of a number is 80 Find 55% of this number. [2] 21 Use a trial and improvement method to find an approximate positive solution to this equation. x 2 – 3 x = 50 Give your answer correct to one decimal place. You may not need all the rows. One value has been done for you. x x 2 – 3 x Too big or too small? 10 70 too big x = [3]

12 © UCLES 2020 1112/02/O/N/20 22 Mike has 450 dollars and spends 360 dollars. Gabriella has 3600 dollars and spends 2700 dollars. Tick (  ) to show who spends a greater proportion of their money. Mike Gabriella Show how you worked out your answer. [2] 23 Convert 15 miles into kilometres. km [1] 24 A car travels at 72 km / h. Work out the number of metres the car travels in one second . m [2]

13 © UCLES 2020 1112/02/O/N/20 [Turn over 25 Round each number to 3 significant figures. 0.0045146 778 893.2 [2] 26 Shape A is enlarged by a scale factor of 2 to make shape B. Shape B is then rotated to make shape C. Shape C is then translated to make shape D. Tick (  ) to show if each pair of shapes are congruent or not congruent. Congruent Not congruent A and B A and C B and D [1]

14 © UCLES 2020 1112/02/O/N/20 27 Shapes E and F are congruent. Write down the coordinates of point P . y E F x P (–5, 4) (4, 2) (6, –1) (–1, 7) (–3, 1) 0 NOT TO SCALE ( , ) [1]

15 © UCLES 2020 1112/02/O/N/20 [Turn over 28 (a) The diagram shows shapes A, B, C and D each made using 5 identical cubes. A B C D Write down the shape that does not have reflection symmetry. [1] (b) The diagram shows the front view of another shape made using 5 cubes. Draw this shape on the isometric grid. [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 Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge. © UCLES 2020 1112/02/O/N/20 29 The table shows data about the life of two types of battery. Use the median and the range to compare the two types of battery. median range [2] Median (hours) Range (hours) Battery A 1.8 0.4 Battery B 1.3 0.6