[PDF] Cambridge Lower Secondary Progression Test - Mathematics 2018 Stage 9 - Paper 1 Question.pdf | Plain Text

*0477214380* MATHS_S9_01_8RP © UCLES 2018 Cambridge Lower Secondary Progression Test Mathematics paper 1 Stage 9 55 minutes Name ……………………………………………\ …….………………………. Additional materials: Geometrical instruments Tracing paper (optional) READ THESE INSTRUCTIONS FIRST Answer all questions in the spaces provided on the question paper. Calculators are not 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 Total

2 M/S9/01 © UCLES 2018 For Teacher’s Use 1 Complete these statements. + −3 = 6.3 × −3 = 6.3 ÷ −3 = 6.3 [2] 2 Match each calculation to its answer. The first one has been done for you. 0.6 × 0.6 0.36 0.64 × 0.4 1.6 0.64 ÷ 0.4 0.625 0.4 ÷ 0.64 0.256 [1] 3 (a) Draw a ring around the best estimate of 56 7.1 14 7.5 7.9 28 [1] (b) Draw a ring around the best estimate of 325 2 3 5 8 [1]

3 M/S9/01 © UCLES 2018 [Turn over For Teacher’s Use 4 These are the elevations and plan of a shape. Front elevation Plan Side elevation W rite down the name of the shape. .................................................. [1] 5 One of these statements is wrong. Put a cross (  ) next to the statement that is wrong. 26 × 25 = 26 × 100 ÷ 4 26 × 25 = (26 × 5) × (26 × 5) 26 × 25 = 25 × 26 26 × 25 = (30 × 25) – (4 × 25) [1]

4 M/S9/01 © UCLES 2018 For Teacher’s Use 6 Oliver bakes 10 cakes. The scatter graph shows the mass (in grams) of each cake and the cooki\ ng time (in minutes). 90 80 70 60 50 Cooking time (minutes) 40 30 20 500 600 700 800 900 Mass (grams)1000 1100 1200 10 0 (a) Write down the number of Oliver’s cakes that have a mass of more than 800 grams. .................................................. [1] (b) Describe the relationship between the mass of a cake and the cooking tim\ e. .......................................................................\ ........................................................... .......................................................................\ ...................................................... [1] (c) Oliver sees a recipe for a cake with a mass of 800 grams. The recipe says the cooking time is 80 minutes. Use the graph to explain why this cooking time may be incorrect. .......................................................................\ ........................................................... .......................................................................\ ...................................................... [1]

5 M/S9/01 © UCLES 2018 [Turn over For Teacher’s Use 7 Here is an arithmetic sequence. 24, 19, 14, 9, 4, … Find an expression for the nth term of the sequence. .................................................. [2] 8 Calculate. 45.7 × 3.6 .................................................. [2] 9 (a) Write down the value of 2 0 .................................................. [1] (b) Write 2 −3 as a fraction. .................................................. [1]

6 M/S9/01 © UCLES 2018 For Teacher’s Use 10 The scale drawing shows the position of two schools, A and B. A B North North The scale is 1 : 200 000 (a) Work out the real-life distance between school A and school B. Give your answer in kilometres. ............................................ km [1] (b) School C is on a bearing of 085° from school A, 305° from school B. Use your protractor to mark the position of school C on the scale drawing. [2]

7 M/S9/01 © UCLES 2018 [Turn over For Teacher’s Use 11 (a) Complete the table of values for the equation 2 y − 2 = 4x x–1 0 2 y –1 [1] (b) Use your results to plot the graph of 2 y − 2 = 4x on this grid. –1 1 2 3 4 5 –2–3 – 4 – 4 –3 –2 –10 x y 1 2 3 4 5 6 [2]

8 M/S9/01 © UCLES 2018 For Teacher’s Use 12 Work out. 11 43 23  .................................................. [2] 13 Expand and simplify. ( x − 5)(x + 3) .................................................. [2] 14 The cross-section of a prism is shown in the diagram. NOT TO SCALE 2 cm 3 cm 4 cm The prism has a length of 15 cm. Calculate the volume of the prism. ........................................... cm 3 [2]

9 M/S9/01 © UCLES 2018 [Turn over For Teacher’s Use 15 Tick (  ) to show whether each of these statements is true or false. True False 10 −1 = 0.1 400 × 10 4 = 400 000 0.3 ÷ 10 −2 = 0.003 0.8 × 10 3 = 0.8 ÷ 10 −3 [2] 16 The diagram shows two rectangles that both have a width of 6 cm. 6 cm NOT TO SCALE 6 cm The dif ference between the perimeters of the two rectangles is 10 cm. Calculate the difference between the areas of the two rectangles. ........................................... cm 2 [2]

10 M/S9/01 © UCLES 2018 For Teacher’s Use 17 Mia has a box that contains a large number of coloured cubes. She picks a cube at random. The probabilities of her picking a red, a blue or a green cube are shown\ in the table. Colour Red Blue Green Probability 0.35 0.25 0.3 (a) Explain how you know that the box must also contain some cubes of other \ colours. .......................................................................\ ........................................................... .......................................................................\ ...................................................... [1] (b) Half of the other coloured cubes are yellow. Work out the probability that Mia picks a yellow cube. .................................................. [1] 18 Write this expression as a single fraction. 3 55aa  .................................................. [1] 19 17 3 = 4913 34 = 2 × 17 Use these facts to work out 34 3 .................................................. [2]

11 M/S9/01 © UCLES 2018 [Turn over For Teacher’s Use 20 Use algebra to solve these simultaneous equations. 3 x + y = 5 x _ 2y = 4 You must show how you worked out your answer. x = ................................................ y = ................................................ [3]

12 M/S9/01 © UCLES 2018 For Teacher’s Use 21 The price of an electronic book is $2.40 The price of the electronic book is 75% less than the price of the paper book. Calculate the price of the paper book. $ ................................................ [2] 22 The diagram shows a quadrilateral containing two right angles. NOT TO SCALE 6 cm a cm 9 cm 7 cm Calculate the value of a. a = ............................................ [3] 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 Examin\ ations 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 opport\ unity.