[PDF] Cambridge Lower Secondary Progression Test - Mathematics 2018 Stage 8 - Paper 1 Question.pdf | Plain Text

MATHS_S8_01_7RP © UCLES 2018 *1186864318* Cambridge Lower Secondary Progression Test Mathematics paper 1 Stage 8 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/S8/01 © UCLES 2018 For Teacher’s Use 1 A calculator gives this answer. 300 ÷ 19 = 15.78947368 7 15.78947368 89× 456÷ 123– 0 Â=+ Round the answer to two decimal places. ............................................ [1] 2 Draw a line from each fraction to the equivalent percentage. The first one has been done for you. 1 2 50% 2 5 35% 7 10 28% 7 25 40% 7 20 70% [2]

3 M/S8/01 © UCLES 2018 [Turn over For Teacher’s Use 3 (a) Complete the table of values for y = 8 – 3x x –102 y 11 [1] (b) Draw the graph of y = 8 – 3x on the grid. –2 –1 –2 –11 2 3 4 5 6 7 8 9 10 11 12 1 0 2 3 4 5 6 7 8x y [2]

4 M/S8/01 © UCLES 2018 For Teacher’s Use 4 The diagram shows the square and the cube of a number. 8 square cube2 4 Complete this diagram. 64 ........................ square cube [2] 5 Complete these calculations. (a) 15 × 0.02 = .......................... [1] (b) 14.4 ÷ .......................... = 1.2 [1]

5 M/S8/01 © UCLES 2018 [Turn over For Teacher’s Use 6 Here is a calculation. 15 × 3 5 Draw a ring around the answer. 45 75 9 25 3 15 5 3.6 [1] 7 An expression for the area of a shape is 6(a + 5) cm 2. Work out (a) the area when a = –2, ..................................... cm 2 [1] (b) the value of a when the area is 54 cm 2. a = ...................................... [1] 8 Here are three lengths. 0.0509 km 60.5 m 5700 cm Order these lengths by completing this statement. .................................... > .................................... > .................................... [1]

6 M/S8/01 © UCLES 2018 For Teacher’s Use 9 (a) Simplify this expression. 7x 2 + 9x 2 – x 2 ............................................ [1] (b) Expand and simplify this expression. 8y – 3(y – 4) ............................................ [2] 10 Hassan swims in a swimming pool. The pool is 25 m long. He swims 60 lengths. Work out how many kilometres he swims. ...................................... km [2]

7 M/S8/01 © UCLES 2018 [Turn over For Teacher’s Use 11 The diagram shows triangles A and B on a grid. A B (a) Triangle A is reflected to give triangle B. Draw the line of reflection on the grid. [1] (b) Here are instructions for mapping triangle A onto triangle C. Translate 1 unit left and 4 units down Triangle A Triangle C Draw triangle C on the grid. [1] (c) Complete the instructions for mapping triangle C back onto triangle A. Triangle CTriangle A Translate ................................................. ................................................................. [1]

8 M/S8/01 © UCLES 2018 For Teacher’s Use 12 Three sisters receive money in the ratio of their ages. Safia gets $18 Angelique is 6 years old and gets $9 Gabriella is 4 years old. (a) Work out how old Safia is. ............................................ [1] (b) Calculate how much money Gabriella gets. $ .......................................... [1] 13 (a) Shade three more squares so that this shape has rotational symmetry of order four. [1] (b) Shade two more squares so that this shape has one line of symmetry. [1]

9 M/S8/01 © UCLES 2018 [Turn over For Teacher’s Use 14 (a) Write 28 as a product of its prime factors. ............................................ [1] (b) Write 210 as a product of its prime factors. ............................................ [1] (c) Find the highest common factor of 28 and 210 ............................................ [1] (d) Find the lowest common multiple of 28 and 210 ............................................ [1]

10 M/S8/01 © UCLES 2018 For Teacher’s Use 15 Work out. 15 2 – 5 3 ............................................ [1] 16 Find the value of 4x 2 + 3 when x = –5 ............................................ [1] 17 Work out. (a) 4.3 ÷ 0.5 ............................................ [1] (b) 5.4 ÷ 0.03 ............................................ [1] 18 A quadrilateral has both of these properties. • The diagonals cross at right angles. • The sides are not all the same length. The quadrilateral is one of those listed below. Draw a ring around the name of this quadrilateral. Square Rectangle Parallelogram Rhombus Kite [1]

11 M/S8/01 © UCLES 2018 [Turn over For Teacher’s Use 19 28 × 67 = 1876 Use this fact to work out (a) 28 × 68 ............................................ [1] (b) 14 × 67 ............................................ [1] 20 These are the first three patterns in a sequence. Pattern 1 Pattern 2 Pattern 3 4 squares 7 squares 10 squares Work out an expression for the number of squares in the nth pattern. ............................................ [2]

12 M/S8/01 © UCLES 2018 For Teacher’s Use 21 Change 5 12 to a recurring decimal. ............................................ [2] 22 Complete the statement with a fraction. Give the fraction in its simplest form. 200 m is ........................... of 5 km. [2] 23 Work out. 21 31 72 ............................................ [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.