[PDF] Cambridge Lower Secondary Progression Test - Mathematics 2018 Stage 9 - Paper 2 Question.pdf | Plain Text

*9404906644* MATHS_S9_02_6RP © UCLES 2018 Cambridge Lower Secondary Progression Test Mathematics paper 2 Stage 9 55 minutes Name ………………………………………………….………………………. Additional materials: Calculator Geometrical instruments Tracing paper (optional) READ THESE INSTRUCTIONS FIRST Answer all questions in the spaces provided on the question paper. Calculator allowed. You should show all your working on the question paper. 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 45. For Teacher’s Use Page Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total

2 M/S9/02 © UCLES 2018 For Teacher’s Use 1 20 litres of petrol costs $48.40 Work out the cost of 36 litres of the petrol. $ ................................................ [2] 2 Factorise. (a) 18a − 12 .................................................. [1] (b) 2c 2 + 5c .................................................. [1] 3 The diagram shows part of a regular polygon with 10 sides. NOT TO SCALE (a) Calculate the exterior angle of the polygon. ................................................° [1] (b) Calculate the interior angle of the polygon. ................................................° [1]

3 M/S9/02 © UCLES 2018 [Turn over For Teacher’s Use 4 Yuri makes a data collection sheet to find the heights of students in his school. He trials his data collection sheet with 15 students and gets these results. Height to the nearest centimetre Tally Frequency 1–50 0 51–100 0 101–150 6 151–200 9 201–250 0 Yuri wants to improve his data collection sheet. Complete the first column with more suitable intervals. You may not need to use all the rows of the table. Height to the nearest centimetre [1] 5 Tick ( ) to show if these statements are true or false when x = 3.5 x 2 + 2

4 M/S9/02 © UCLES 2018 For Teacher’s Use 6 Write as a power of n. (a) n × n 2 .................................................. [1] (b) n 3 ÷ n 2 .................................................. [1] 7 This is a rectangle on a coordinate grid. –1 1 2 3y x CMA 4 5 –2 –1 1 0 2 3 4 5 6 7 –2 (a) The rectangle is enlarged with a scale factor of 2 The centre of the enlargement is C (0, 3). Find the coordinates of the image of vertex A. (.................. , ..................) [1] (b) The rectangle is rotated 90° clockwise about the point M (4, 3). Find the coordinates of the image of vertex A. (.................. , ..................) [1]

5 M/S9/02 © UCLES 2018 [Turn over For Teacher’s Use 8 A car travels 230 km. It uses 18.5 litres of petrol. Calculate the distance travelled per litre of petrol for this car. Give your answer in km / l. ....................................... km / l [1] 9 Jamila has two sets of number cards. 2 4 6 1 3 5 She takes one card from each set. She multiplies the numbers on her two cards. Show the possible outcomes in the sample space diagram. [2]

6 M/S9/02 © UCLES 2018 For Teacher’s Use 10 A publisher is deciding how much to charge for a new book. Carlos draws this graph to show how the expected sales of the book change with the price. 0 0246810 Price of book ($)12 14 16 18 20 2 4 6 8 10 12 Expected sales of book (thousands)14 (a) Describe how the expected sales vary with price. .................................................................................................................................. ............................................................................................................................. [1] (b) Work out how many more books the publisher would sell by charging $6 for the book instead of $12 ................................... thousand [2]

7 M/S9/02 © UCLES 2018 [Turn over For Teacher’s Use 11 One solution to x 2 + 4x  25 is between 3 and 4 Use trial and improvement to find this solution. Give your answer correct to 1 decimal place. Show your working. You may not need all the rows in the table. xx 2 + 4xComment 3 34321 2 # +=Too small 4 44432 2 # +=Too big x = ............................................ [3]

8 M/S9/02 © UCLES 2018 For Teacher’s Use 12 The cost of a holiday last year is shown. Hotel: $1300 Flights: $ 900 Total cost: $2200 The cost of the hotel this year is 8% more expensive than last year. The cost of flights this year is $961 Work out the percentage increase in the total cost of the holiday. .............................................. % [3] 13 Solve this equation. 5(c + 32) = 60 c = ........................................... [2]

9 M/S9/02 © UCLES 2018 [Turn over For Teacher’s Use 14 Hassan produces apple juice using apples grown on his farm. He has 180 apple trees. Each tree produces 40 kilograms of apples per year. To make 1 litre of apple juice, Hassan needs 2.5 kilograms of apples. He sells his apple juice in 0.75 litre bottles. Work out how many bottles of apple juice Hassan can expect to produce in one year. ..................................... bottles [3] 15 (a) Calculate. 59.5 37.4 59.5 37.4  Write down all the digits on your calculator display. .................................................. [1] (b) Round your answer to 2 significant figures. .................................................. [1]

10 M/S9/02 © UCLES 2018 For Teacher’s Use 16 A container for water is in the shape of a cuboid. 25 cm 12 cm 12 cmNOT TO SCALE Calculate the capacity of the container, in litres. ........................................ litres [2] 17 The average speed for three of the journeys described below is the same. Journey A: 180 km in 3 hours Journey B: 140 km in 2.5 hours Journey C: 30 km in 0.5 hours Journey D: 10 km in 10 minutes Draw a ring around the journey that has a different average speed from the others. [1]

11 M/S9/02 © UCLES 2018 [Turn over For Teacher’s Use 18 The diagram shows a cube drawn on isometric paper. Eight of these cubes are put together to make a larger cube. Draw this larger cube on the isometric paper. [1]

12 M/S9/02 © UCLES 2018 For Teacher’s Use 19 Make t the subject of this formula. r  7(t + 3) t = ............................................ [2] 20 Nine students take a history exam and a geography exam. Their marks out of 100 are: History: 46, 65, 45, 42, 71, 48, 50, 71, 51 Geography: 43, 72, 50, 68, 77, 64, 74, 78, 50 (a) Complete the back to back stem-and-leaf diagram. History Geography 8 6 5 2 1 0 5 1 14 5 6 73 Key: 2 | 4 | 3 = 42 in history and 43 in geography [2] (b) Use the shapes of the distributions to compare the marks for history and geography. .................................................................................................................................. ............................................................................................................................. [1]

13 M/S9/02 © UCLES 2018 [Turn over For Teacher’s Use 21 Manjit thinks of a factor of 24 Gabriella thinks of a multiple of 13 The square of Manjit’s number is 3 less than Gabriella’s number. Work out the numbers that Manjit and Gabriella thought of. Manjit’s number = ........................ Gabriella’s number = ........................ [2] 22 There are two different pairs of trainers in a sale, Alpha trainers and Bargain trainers. Alpha trainers Original price: $50 Sale price: $44 Bargain trainers Original price: $30 Sale price: $24 Rajiv says, ‘The discount on the Bargain trainers is better.’ Explain why Rajiv is correct. ......................................................................................................................................... ......................................................................................................................................... .................................................................................................................................... [1]

14 M/S9/02 © UCLES 2018 For Teacher’s Use 23 The graph shows the number of students gaining the top grade in a mathematics exam each year. 20060 10 20 30 40 50 60 2007 2008 2009 Year Number of students 2010 2011 2012 Between 2011 and 2012 there was a 50% increase in the number of students gaining the top grade. Show this on the graph. [2] Copyright © UCLES, 2018 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. 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.