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

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This document has 16 pages. Blank pages are indicated. IB20 05_1112_01/7RP © UCLES 2020 [Turn ove r  Cambridge Lower Secondary Checkpoint MATHEMATICS 1112/01 Paper 1 April 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/A/M/20 1 Work out the value of 121 5 2 [1] 2 Simplify. x 6 × x 3 [1] 3 (a) Write 3 14 as a mixed number. [1] (b) Write 8 as a percentage of 32 %[1] 4 Simplify.  6p + 4p – 5p [1]

3 © UCLES 2020 1112/01/A/M/20 [Turn over 5 Solve. 5x + 35 = 75 x = [1] 6 The grid shows the positions of three points, A, B and C. y x 4 3 2 5 1 0 −5 −4 −3 −2 −1 12 345 6 B A C −4 −1 −2 −3 −5 ABCD is a square. Write down the coordinates of D. ( , )[1]

4 © UCLES 2020 1112/01/A/M/20 7 This graph shows the number of drinks that are sold in one week. 18 16 14 12 10 8 6 4 2 0 Tea Coffee Orange JuiceMilkshake Water Lemonade Type of drink Number of drinks sold (a) Work out how many more drinks of lemonade than water are sold. [1] (b) Write down the modal drink. [1] 8 Write a number in the box to make this statement correct. 5 cm 2 = mm 2 [1]

5 © UCLES 2020 1112/01/A/M/20 [Turn over 9 (a) Complete the table to show equivalent numbers. The first row is completed for you. Power of 10 Ordinary number 10 2 100 10 000 10 5 [1] (b) Work out. 1.2 ÷ 0.01 [1] 10 Mike has six cards each labelled with a letter. C H A N C E He selects a card at random and records the letter on it. (a) Write down a list of all the possible outcomes. [1] (b) Write down the probability that Mike selects a card that is labelled with the letter C. [1]

6 © UCLES 2020 1112/01/A/M/20 11 Gabriella is 110 cm tall. Pierre is 154 cm tall. This is the ratio of their masses. Gabriella’s mass : Pierre’s mass 3 : 8 The value of their total mass, in kg, is 4 1 of the value of their total height, in cm. Complete the table. Height (cm) Mass (kg) Gabriella 110 Pierre 154 [3]

7 © UCLES 2020 1112/01/A/M/20 [Turn over 12 Oliver draws two pie charts that show the favourite subjects of students from two different schools. School A has 200 students. School B has 120 students. Maths 15% Science 25% Art 32%Art 32% English 8% Drama 20%School A 200 students School B Science     10%  Drama 20%Maths 25% Art 20% English 25% 120 students Oliver says that the same number of students in School A and in School B said maths is their favourite subject. Tick (  ) to show if Oliver is correct or not correct. Correct Not correc t You must show your working. [2]

8 © UCLES 2020 1112/01/A/M/20 13 The coordinates of point A are (3, 8) and the coordinates of point B are (9, 15). Find the coordinates of the midpoint of AB . ( , ) [1] 14 Here is a function. x 10 x + 2 Fill in the missing numbers. 3  32 7  72 4   2 [1] 15 Work out. 127 × 149 Give your answer as a fraction in its simplest form. [2]

9 © UCLES 2020 1112/01/A/M/20 [Turn over 16 Angelique leaves home at 09:30 to go for a walk. The graph shows information about her walk. 4 6 8 10 2 09:00 10:00 11:00 12:00 13:00 14:00 15:00 Distance  from home (km) Time 3 5 7 9 1 0 She walks 8 km, stops for a rest and then returns home the same way. (a) Work out her speed on the return part of her journey. km / h [1] (b) Carlos is Angelique’s brother. He leaves home at 10:00 He walks at 6 km / h in the same direction as Angelique. He walks for 90 minutes. Draw a line on the graph to show his walk. [1] (c) Estimate the time when Angelique and Carlos meet. [1]

10 © UCLES 2020 1112/01/A/M/20 17 This square-based pyramid is made of wire. The edges of the base all have length 3.07 cm. The other edges all have length 6.93 cm. 6.93  cmNOT TO SCALE 3.07  cm Find the total length of wire. cm [2] 18 Here is a number fact. 13 442  47 = 286 Use this fact to work out (a) 13.442  4.7 [1] (b) 2.86 × 94 [1]

11 © UCLES 2020 1112/01/A/M/20 [Turn over 19 A rectangle has sides of length 1200 m and 700 m. Draw the rectangle to scale. Use a scale of 1 cm represents 200 m. Scale 1 cm = 200 m [2] 20 Complete these calculations. 7.4 + = 3.1 9.4  –5.7  [2]

12 © UCLES 2020 1112/01/A/M/20 21 Safia wants to find out whether people like a new airport. She surveys 20 people who work at the airport one morning in March to find their opinion of the airport. Write down two ways Safia could improve her data collection method. 1 2 [2] 22 The diagram shows an object made from 5 cubes. It has been drawn on isometric paper. Front viewPlan view Draw the plan and the front elevation of the object on the grids below. Plan Front elevation [2]

13 © UCLES 2020 1112/01/A/M/20 [Turn over 23 Change the 12-hour clock times into 24-hour clock times. 12-hour clock 24-hour clock 6.15 pm 9.59 am 12.01 am [2] 24 Triangle B is an enlargement of triangle A. A B Work out the scale factor of the enlargement. [1]

14 © UCLES 2020 1112/01/A/M/20 25 The table shows the ages of a group of boys and girls. Age (in years) Number of boys Number of girls 10 8 8 11 7 10 12 8 14 13 12 6 14 0 2 15 0 2 16 10 0 17 6 0 Tick (  ) to show if these statements are true or false. [1] 26 Find the fraction half-way between 2 3 and 5 6 Write your answer as a fraction in its simplest form. [2] True False There are more girls aged 12 years than boys aged 12 years. The range of ages for the boys is higher than the range of ages for the girls.

15 © UCLES 2020 1112/01/A/M/20 [Turn over 27 The diagram shows a fish tank. 50  cm30  cm 4  cm 40  cmNOT TO  SCALE The fish tank has a capacity of 60 litres. Lily uses a 2000 ml jug to put water in the fish tank. She stops when the water is 4 cm from the top. Work out the number of jugs of water that Lily uses. [3]

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/A/M/20 28 Put these calculations in order of size from smallest to largest. You do not need to work out each value. 9  0.85 9  0.18 9  0.5 9  0.1 smallest largest [1] 29 The diagram shows triangle XYZ . XY is parallel to ZV . XZW is a straight line. e c a X W V Y Z d b NOT TO  SCALE  Jamila proves that the angles of triangle XYZ add up to 180°. Complete her proof. So the angles in triangle XYZ add up to 180 . Angles a and e are equal because they are angles. Angles b and are equal because they are alternate angles. Angles c, d and e add up to 180° because [2]