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This document consists of 16 printed pages. IB18 05_1112_01/4RP © UCLES 2018 [Turn over  Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/01 Paper 1 April 2018 1 hour Candidates answer on the Question Paper. Additional Materials: Geometrical instruments Tracing paper (optional) READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. NO CALCULATOR ALLOWED. You should show all your working in the booklet. 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 50.

2 © UCLES 2018 1112/01/A/M/18 1 Here is the rule for these number grids. Add the two top numbers to get the number below. 10 15 10 + 15 = 25 25 Complete these grids. (a) –8 –3 [1] (b) 8 1 4 3 [1]

3 © UCLES 2018 1112/01/A/M/18 [Turn over 2 Here are two books. Book A Book  B 500 pages 360 pages Lily reads 32% of Book A. Safia reads 40% of Book B. Tick (  ) to show who reads the most pages. Lily Safia You must show your working. [2] 3 A bottle of juice holds 1.5 litres. Ahmed pours all the juice into glasses. He pours 250 millilitres into each glass. Work out how many glasses Ahmed uses. [2]

4 © UCLES 2018 1112/01/A/M/18 4 A teacher asks her class to work out the answer to 8 + 12 ÷ 4 Mike says that the answer is 5 He is wrong. Explain why Mike is wrong. [1]

5 © UCLES 2018 1112/01/A/M/18 [Turn over 5 Triangle A is shown in the diagram. NOT TO  SCALE  4.9 cm 4.3 cm Triangle A 57º 75º Draw a ring around the triangles below that are congruent to Triangle A. NOT TO  SCALE  4.9 cm 4.3 cm 4.9 cm 4.3 cm 38º 4.9 cm 4.3 cm 75º 48º 75º 75º 48º [2]

6 © UCLES 2018 1112/01/A/M/18 6 Work out (a) 1.5  0.8 [1] (b) 15 ÷ 0.06 [1] 7 There are 280 students in Year 10 Half of the students are boys. 155 of the students get a grade of A, B or C in their mathematics test. 61 girls get a grade of D, E or F. (a) Complete the table. Grade in mathematics test for Year 10 students Grade A, B or CGrade D, E or F Total Boys Girls Total 280 [2] (b) A student is chosen at random from Year 10 Write down the probability that the student is a girl with a grade D, E or F. [1]

7 © UCLES 2018 1112/01/A/M/18 [Turn over 8 Here is an expression. 3 a + 4 + 7 b Tick (  ) the third term in this expression. + 3a 4 7 7b [1] 9 Use the laws of arithmetic to write numbers in the boxes to make these calculations correct. 4.5  8 = 4.5  2  2  8.84  25 = 8.84  100 ÷ 6.8  5 = 6.8  ÷ 2 [2]

8 © UCLES 2018 1112/01/A/M/18 10 (a) Factorise completely. 2 x2 – 6 x [2] (b) Make r the subject of the equation h = 2( r – 4) r = [2] 11 Here is a division. 7.1 ÷ 8 = 0.8  75 One digit is missing. Work out the digit that is missing.  = [1]

9 © UCLES 2018 1112/01/A/M/18 [Turn over 12 Here is a road sign in the USA. CHICAGO 10 miles Draw a ring around the distance, in kilometres, that is closest to 10 miles. 4 km 6 km 12 km 16 km 22 km [1] 13 There are 96 children in a room. 40 of them are girls. Find the fraction of the children that are boys . Write your answer in its simplest form. [1] 14 Expand and simplify. ( x – 2)( x + 8) [2]

10 © UCLES 2018 1112/01/A/M/18 15 Blessy collects information to investigate this statement. Boys in my school play more sport each week than girls. (a) Tick (  ) the two items that are most relevant to her investigation. Age of student Gender of student Time spent doing sport each week Favourite sport [1] (b) Blessy collects data from ten of her friends. Explain why she may not get reliable results from her data. [1] 16 (a) Write down the value of 225 [1] (b) Draw a ring around the best estimate to the cube root of 100 3.2 4.6 10 33 [1]

11 © UCLES 2018 1112/01/A/M/18 [Turn over 17 Work out 0.036 × 10 5 = 470 × 10 –2 = 2 ÷ 10 – 4 = [2] 18 The term-to-term rule of a sequence is multiply by 3 The fourth term of the sequence is 54 Work out the first term of the sequence. [1] 19 A bath has a volume of 0.25 m 3. Convert 0.25 m 3 to cm 3. cm 3 [1] 20 Work out the value of m in this calculation. m –2 = 9 1 m = [1]

12 © UCLES 2018 1112/01/A/M/18 21 The diagram shows triangle A drawn on a grid. y 1352 −2 −3 −4 −5 −6 −7 −1 4 6 70x −4 4 3 2 78 6 5 1 −1 −2 −3 −6 −7 −5 A 8 −8 −8 (a) Reflect triangle A in the line y = 2 Label the reflection B. [1] (b) Reflect triangle B in the line x = 1 Label the reflection C. [1] A rotation will map triangle C back onto triangle A. (c) Find the coordinates of the centre of this rotation. ( , ) [1]

13 © UCLES 2018 1112/01/A/M/18 [Turn over 22 (a) The diagram shows some two-dimensional shapes. Shape A Shape B Shape C Shape D Complete each of these sentences. The first sentence has been completed for you. Shape A has 2 line(s) of symmetry and rotational symmetry of order 2 Shape B has line(s) of symmetry and rotational symmetry of order Shape C has line(s) of symmetry and rotational symmetry of order Shape D has line(s) of symmetry and rotational symmetry of order [2] (b) Draw a two-dimensional shape on the grid that has 4 lines of symmetry and rotational symmetry of order 4 [1]

14 © UCLES 2018 1112/01/A/M/18 23 The lines with equations 2 y = x + 4, 2 y = x + 8 and 2 x + y = 10 are shown on the grid. 10 8 6 4 2 0 0246810 y x (a) Use the graph to solve these simultaneous equations. 2 x + y = 10 and 2 y = x + 4 x = y = [2] (b) Draw the line 2 x + y = 6 on the grid. [2]

15 © UCLES 2018 1112/01/A/M/18 [Turn over 24 The ratio of boys to girls in a school is boys : girls = 4 : 3 One day, 18 girls are absent from school. This represents 5% of all the girls in the school. Calculate the total number of students in the school. [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 International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after the live examination series. Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. © UCLES 2018 1112/01/A/M/18 25 The diagram shows a shape with all side lengths measured in centimetres. All the angles are right angles. 5 NOT TO SCALE 3 x x Write an expression, in terms of x, for the total shaded area. cm 2 [2]