Download [PDF] October 2020 CAIE P1 Questions 1112 Mathematics Cambridge Lower Secondary Checkpoint

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This document has 16 pages. Blank pages are indicated. IB20 10_1112_01/6RP © UCLES 2020 [Turn ove r  Cambridge Lower Secondary Checkpoint MATHEMATICS 1112/01 Paper 1 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 are not allowed to 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 1112/01/O/N/20 1 Write down the temperature shown on this scale. 10 0 −10 −20 −3020 30 40 50 °C °C [1] 2 Draw a line to match each fraction to its percentage equivalent. The first one has been done for you. 1 4 7 20 17 50 6 15 1 3 35% 34% 40% 1 3 33 %25% [2]

3 © UCLES 2020 1112/01/O/N/20 [Turn over 3 123456 –6 –5 –  4–3 –2 –1 –1 –2 –3 –  4 –5 –6 6y x P 5 4 3 2 1 0 x = 2 Q is the reflection of P in the line x = 2 Work out the coordinates of Q. ( , ) [1]

4 © UCLES 2020 1112/01/O/N/20 4 Here is a shape that has been divided into equal parts. (a) Write down the fraction of the shape that is shaded. Give your answer in its simplest form. [1] (b) Find the percentage of the shape that is unshaded. % [1] 5 Choose from these units to give the most appropriate unit of measurement for each item. g kg m l ml m 2 cm 2 The area of a classroom floor. The mass of a child. The amount of water in a swimming pool. [1]

5 © UCLES 2020 1112/01/O/N/20 [Turn over 6 Yuri is a piano teacher. He collects the examination marks of his students. He asks each of them how many minutes they play their piano for each night. The scatter diagram shows some of his data. 0 80 10 20 30 40 90 100 110120 130 140 Playing time each night (minutes) Examination  mark (a) The playing times and examination marks of 2 more students are shown in the table. Playing time each night (minutes) Examination mark 12 106 30 125 Plot these values on the scatter diagram. [1] (b) Describe the relationship between playing time and examination mark. [1]

6 © UCLES 2020 1112/01/O/N/20 7 Write 43 7 as a mixed number. [1] 8 Angelique is n years old. Jamila says, ‘To get my age, start with Angelique’s age, add one and then double.’ Write an expression, in terms of n, for Jamila’s age. [1] 9 Use numbers from the list to complete the sentences. 2 9 14 20 23 35 36 You may use a number more than once. The square numbers are and The factors of 18 are and The multiples of 4 are and [3]

7 © UCLES 2020 1112/01/O/N/20 [Turn over 10 Complete each statement with the correct power of 10 from the box. The first one has been done for you. 10 3 4 5 68 2 1010 10 10 10 10 1 10 × 10 is the same as 10 2 10 000 is the same as One million is the same as 1000 ÷ 0.01 is the same as [2] 11 Here is a calculation 48 × 23 = 1104 Use this calculation to work out the following. (a) 48 × 24 [1] (b) 4.8 × 0.23 [1] (c) 1104 ÷ 2.3 [1]

8 © UCLES 2020 1112/01/O/N/20 12 Simplify. f × f × f × f × f 3 × g × g × 2 × g [2] 13 Draw a ring around all the statements that are examples of discrete data. mark out of 10 on a test time taken to run a marathon mass of a bag of oranges average speed of a journey number of books sold [1] 14 The thickness of a pile of paper is 24 mm. Each sheet is the same and has a thickness of 112 mm. Find the number of sheets of paper in the pile. [2]

9 © UCLES 2020 1112/01/O/N/20 [Turn over 15 Mike throws a fair six-sided dice. (a) The scale shows the probability of an event. 01 Tick () all the events that could be represented by the arrow. Getting an odd number on the dice. Getting the number 3 on the dice. Getting a number less than 4 on the dice. [1] (b) Draw an arrow (↑) on the scale to show the probability of getting a 4 or a 5 on the dice. 01 [1] 16 In a traffic survey of 495 vehicles, 390 are cars. Work out the fraction of the vehicles that are not cars. Give your answer as a fraction in its simplest form. [2]

10 © UCLES 2020 1112/01/O/N/20 17 (a) Complete the table of values for y – 2x = 6 x – 4 –2 0 y –2 [1] (b) The line 4y – x = 7 is shown on the grid below. Draw the line y – 2x = 6 on the same grid. y x 4y –  x = 7 8 1       2 –1     –1 –3 –  4 0 1 2 3 4 5 6 7 –2 –2 –3 –  4 –5 –6 –7 –8 [2] (c) Use the graph to solve the simultaneous equations 4y – x = 7 and y – 2x = 6 x = y = [1]

11 © UCLES 2020 1112/01/O/N/20 [Turn over 18 The diagram shows an equilateral triangle. All measurements are in cm. a 2x  + 2 3x  + 4NOT TO  SCALE The perimeter of the triangle is 57 cm. Find the length of a. cm [3] 19 A sequence begins 3, – 6, 12, – 24, 48, … (a) Write down the term-to-term rule for this sequence. [1] (b) Write down the next two terms. and [1]

12 © UCLES 2020 1112/01/O/N/20 20 Blessy has r red flowers, w white flowers and y yellow flowers. r : w = 3 : 2 w : y = 4 : 3 Blessy has 12 yellow flowers. Work out how many flowers she has in total. [2] 21 The diagram shows a pair of parallel lines, GH and JK. GE X H JY K F EF is a straight line that crosses GH at X and crosses JK at Y. On the diagram, • label with the letter A the angle that is alternate to angle GXY, • label with the letter C the angle that is corresponding to angle GXY. [2]

13 © UCLES 2020 1112/01/O/N/20 [Turn over 22 A piece of paper has an area of 0.3 m 2. 0.3  m 2 NOT TO SCALE A circle of area 705 cm 2 is cut out of the piece of paper. 705  cm 2 NOT TO SCALE Work out the area of the paper that remains. Give your answer in square metres. m 2 [2] 23 Factorise fully. 10ab – 5b 2 [2]

14 © UCLES 2020 1112/01/O/N/20 24 The diagram shows a triangle ABC on a grid. y x –2 –1 –3 – 4 –5 –6 1 2 3 4 5 6 0 – 4 –5 –6 –3 –2 –1 2 4 5 3 1 6 A A' B'C B A' and B' are the images of A and B after an enlargement. (a) Plot C', the image of C after the enlargement. [1] (b) Describe fully the enlargement from triangle ABC to triangle A'B'C'. [2]

15 © UCLES 2020 1112/01/O/N/20 [Turn over 25 Hassan investigates the amount of fruit that people eat. The bar-line charts show the number of portions of fruit that 30 adults and 30 children ate on Monday. 10 9 8 7 6 5 FrequencyChildren 4 3 2 1 0 0123 Portions of fruit4567 10 9 8 7 6 5 FrequencyAdults 4 3 2 1 0 0123 Portions of fruit4567 Tick () to show who ate more fruit on Monday. Adults Children Give a reason to explain your answer. [1]

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 1112/01/O/N/20 26 This is part of the net of a cuboid. Draw the missing face to complete the net. [1]