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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
                Cambridge Checkpoint




MATHEMATICS                                                                                     1112/01
Paper 1                                                                       For Examination from 2012
SPECIMEN PAPER
                                                                                                 1 hour
Candidates answer on the Question Paper.
Additional Materials:    Geometrical Instruments
                         Tracing Paper


READ THESE INSTRUCTIONS FIRST
                                                                                   For Examiner's Use
Write your Centre number, candidate number and name on the work you hand in.         1
Write in dark blue or black pen.
You may use a pencil for any diagrams, graphs or rough working.                      2
Do not use staples, paper clips, highlighters, glue or correction fluid.
                                                                                     3
Answer all questions.
                                                                                     4
NO CALCULATOR ALLOWED.
                                                                                     5
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     6
question.
The total number of marks for this paper is 50.                                      7

                                                                                     8

                                                                                     9

                                                                                     10

                                                                                     11

                                                                                     12

                                                                                    Total



                               This document consists of 12 printed pages.


© UCLES 2011                                                                                  [Turn over
2

1   (a) Work out.                                                     For
                                                                   Examiner's
                                                                      Use
         (i) 483.7 ÷ 100
                                                             [1]

        (ii) 9.27 × 0.1
                                                             [1]

        (iii) 15.06 ÷ 0.001
                                                             [1]


    (b) Write 276.5246

         (i) correct to two decimal places
                                                             [1]

        (ii) correct to two significant figures.
                                                             [1]




© UCLES 2011                                 1112/01/SP/12
3

                 23                                                     For
2   (a) Write       as a mixed number.                               Examiner's
                 6                                                      Use

                                                              [1]


                     1
    (b) Work out       of 96
                     8




                                                              [1]


    (c) Complete each statement with the correct symbol.

                                         =    <       >


                                7
         (i) 70%                                              [1]
                               10

                15             1
        (ii)                                                  [1]
               100             5




© UCLES 2011                                 1112/01/SP/12   [Turn over
4

3    (a) Work out 304.7 – 156.2                                        For
                                                                    Examiner's
                                                                       Use




                                                              [1]


    (b) Work out 12.5 ÷ 7
        Give your answer correct to two decimal places.




                                                              [2]


    (c) Carlos has 4.5 m of cable.
        He uses a 1.65 m piece and a 2.08 m piece.

         Work out how much cable Carlos has left.




                                                          m   [2]




© UCLES 2011                              1112/01/SP/12
5

4   In the diagram, PRS is a triangle and QT is parallel to RS.                              For
                                                                                          Examiner's
                                                                                             Use

                                                      P

                                                     b°
                                                                         NOT TO
                                                                         SCALE


                                      42°                 65°
                                T                                Q
                                                            a°



                       c°
                S                                                    R



    (a) Work out the sizes of angles a and b.




                                                          (i) a =                 [1]

                                                      (ii) b =                    [1]


    (b) Work out the size of angle c.
        Give a reason for your answer.

         c=                 because                                               [2]




© UCLES 2011                                1112/01/SP/12                         [Turn over
6

5   (a) Work out.                                                                             For
                                                                                           Examiner's
                                                                                              Use
         (i) 0.6 × 9


                                                                                     [1]

        (ii) 6.14 × 0.4




                                                                                     [1]


    (b) Use the fact that

               57.2 × 13.15 = 752.18

         to write down the answers to the following.

         (i) 572 × 1315
                                                                                     [1]

        (ii) 75.218 ÷ 57.2


                                                                                     [1]


    (c) Here is part of Naomi’s maths homework.

                          342 × 0.96 = 382.32

         Naomi’s answer is wrong.

         Explain how you can tell she is wrong without working out the correct answer.


                                                                                     [1]




© UCLES 2011                               1112/01/SP/12
7

6   Here are the heights, given to the nearest centimetre, of a group of 13-year-old boys.                For
                                                                                                       Examiner's
                                                                                                          Use
      156             164         174         166             156      158        168    165
      159             152         171         164             161      160        162    161

    (a) Complete the frequency table to summarise the heights of the boys.

         Height (h cm)                          Tally                        Frequency
         150 < h ≤ 155
         155 < h ≤ 160
         160 < h ≤ 165
         165 < h ≤ 170
         170 < h ≤ 175
                                                                                                [2]


    (b) Complete the frequency polygon to summarise the heights of the boys.

               8

               7

               6

               5

frequency      4

               3

               2

               1

               0
                150         155         160         165          170    175

                                         height (h cm)                                          [2]




© UCLES 2011                                         1112/01/SP/12                             [Turn over
8

7   (a) Complete these statements.                                                          For
                                                                                         Examiner's
                                                                                            Use

         (i) 2584 centimetres =                             metres                 [1]

         (ii) 5.6 tonnes =                                  kilograms              [1]


    (b) The distance from London to Birmingham is about 100 miles.

         Approximately how many kilometres is it from London to Birmingham?




                                                                     kilometres    [1]


    (c) A jug contains 1.6 litres of milk.
        Simon divides the milk equally between 8 glasses.

         Work out how much milk is in each glass.
         Give your answer in millilitres.




                                                                     millilitres   [2]




© UCLES 2011                              1112/01/SP/12
9

8   (a) Simplify 3a + 4a – a                                     For
                                                              Examiner's
                                                                 Use



                                                       [1]


    (b) Factorise 2b2 – 5b



                                                       [1]


    (c) Solve these equations.

         (i) 6x = 18




                                                 x=    [1]

        (ii) 5x = 4 – 3x




                                                 x=    [2]




© UCLES 2011                     1112/01/SP/12        [Turn over
10

9   (a) Complete this table of values for y = 8 – 2x                                       For
                                                                                        Examiner's
                                                                                           Use
                   x       –1        0           2                4
                   y       10                                     0
                                                                                  [1]


    (b) Use your table to draw the graph of y = 8 – 2x

                                         y

                                    12
                                    11
                                    10
                                     9
                                     8
                                     7
                                     6
                                     5
                                     4
                                     3
                                     2
                                     1

                                                                              x
                           –2 –1         0   1       2        3       4   5
                                                                                  [2]


    (c) The line L passes through the point (1, 2).
        The gradient of line L is 3.

         Draw line L on the grid.                                                 [2]




© UCLES 2011                                     1112/01/SP/12
11

10 A group of students is asked how long they spend doing homework.                                         For
                                                                                                         Examiner's
   The pie charts summarise the results.                                                                    Use

                             girls                                          boys


                                2 hours                               5 hours 1 hour
                   6 hours

                                        3 hours                                        2 hours
               5 hours                                            4 hours


                         4 hours                                             3 hours




    Use the pie charts to decide whether each statement is true, false or there is not
    enough information to decide.

    Give a reason for each choice.

    (a) All of the boys spend less than 6 hours doing homework.

           True                      False        Not enough information


         Reason                                                                                   [1]


    (b) The total number of boys is the same as the total number of girls.

           True                      False        Not enough information


         Reason                                                                                   [1]


    (c) The boys’ mode is 6 hours.

           True                      False        Not enough information


         Reason                                                                                   [1]




© UCLES 2011                                      1112/01/SP/12                                  [Turn over
12

11 (a) Using only these numbers, complete the statements.                                                                                                                 For
                                                                                                                                                                       Examiner's
                                                                                                                                                                          Use
                                                      3        5        6        24          30         60


              (i)                                       and                                                         are factors of 12.                        [1]

             (ii)                                       and                                                         are multiples of 15.                      [1]


       (b) Work out.

                      3
              (i)         125


                                                                                                                                                               [1]

             (ii) 24


                                                                                                                                                               [1]

            (iii) 50


                                                                                                                                                               [1]




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.

University of 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 2011                                                                  1112/01/SP/12

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Cambridge checkpoint maths p1 specimen 2012

  • 1. UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS Cambridge Checkpoint MATHEMATICS 1112/01 Paper 1 For Examination from 2012 SPECIMEN PAPER 1 hour Candidates answer on the Question Paper. Additional Materials: Geometrical Instruments Tracing Paper READ THESE INSTRUCTIONS FIRST For Examiner's Use Write your Centre number, candidate number and name on the work you hand in. 1 Write in dark blue or black pen. You may use a pencil for any diagrams, graphs or rough working. 2 Do not use staples, paper clips, highlighters, glue or correction fluid. 3 Answer all questions. 4 NO CALCULATOR ALLOWED. 5 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 6 question. The total number of marks for this paper is 50. 7 8 9 10 11 12 Total This document consists of 12 printed pages. © UCLES 2011 [Turn over
  • 2. 2 1 (a) Work out. For Examiner's Use (i) 483.7 ÷ 100 [1] (ii) 9.27 × 0.1 [1] (iii) 15.06 ÷ 0.001 [1] (b) Write 276.5246 (i) correct to two decimal places [1] (ii) correct to two significant figures. [1] © UCLES 2011 1112/01/SP/12
  • 3. 3 23 For 2 (a) Write as a mixed number. Examiner's 6 Use [1] 1 (b) Work out of 96 8 [1] (c) Complete each statement with the correct symbol. = < > 7 (i) 70% [1] 10 15 1 (ii) [1] 100 5 © UCLES 2011 1112/01/SP/12 [Turn over
  • 4. 4 3 (a) Work out 304.7 – 156.2 For Examiner's Use [1] (b) Work out 12.5 ÷ 7 Give your answer correct to two decimal places. [2] (c) Carlos has 4.5 m of cable. He uses a 1.65 m piece and a 2.08 m piece. Work out how much cable Carlos has left. m [2] © UCLES 2011 1112/01/SP/12
  • 5. 5 4 In the diagram, PRS is a triangle and QT is parallel to RS. For Examiner's Use P b° NOT TO SCALE 42° 65° T Q a° c° S R (a) Work out the sizes of angles a and b. (i) a = [1] (ii) b = [1] (b) Work out the size of angle c. Give a reason for your answer. c= because [2] © UCLES 2011 1112/01/SP/12 [Turn over
  • 6. 6 5 (a) Work out. For Examiner's Use (i) 0.6 × 9 [1] (ii) 6.14 × 0.4 [1] (b) Use the fact that 57.2 × 13.15 = 752.18 to write down the answers to the following. (i) 572 × 1315 [1] (ii) 75.218 ÷ 57.2 [1] (c) Here is part of Naomi’s maths homework. 342 × 0.96 = 382.32 Naomi’s answer is wrong. Explain how you can tell she is wrong without working out the correct answer. [1] © UCLES 2011 1112/01/SP/12
  • 7. 7 6 Here are the heights, given to the nearest centimetre, of a group of 13-year-old boys. For Examiner's Use 156 164 174 166 156 158 168 165 159 152 171 164 161 160 162 161 (a) Complete the frequency table to summarise the heights of the boys. Height (h cm) Tally Frequency 150 < h ≤ 155 155 < h ≤ 160 160 < h ≤ 165 165 < h ≤ 170 170 < h ≤ 175 [2] (b) Complete the frequency polygon to summarise the heights of the boys. 8 7 6 5 frequency 4 3 2 1 0 150 155 160 165 170 175 height (h cm) [2] © UCLES 2011 1112/01/SP/12 [Turn over
  • 8. 8 7 (a) Complete these statements. For Examiner's Use (i) 2584 centimetres = metres [1] (ii) 5.6 tonnes = kilograms [1] (b) The distance from London to Birmingham is about 100 miles. Approximately how many kilometres is it from London to Birmingham? kilometres [1] (c) A jug contains 1.6 litres of milk. Simon divides the milk equally between 8 glasses. Work out how much milk is in each glass. Give your answer in millilitres. millilitres [2] © UCLES 2011 1112/01/SP/12
  • 9. 9 8 (a) Simplify 3a + 4a – a For Examiner's Use [1] (b) Factorise 2b2 – 5b [1] (c) Solve these equations. (i) 6x = 18 x= [1] (ii) 5x = 4 – 3x x= [2] © UCLES 2011 1112/01/SP/12 [Turn over
  • 10. 10 9 (a) Complete this table of values for y = 8 – 2x For Examiner's Use x –1 0 2 4 y 10 0 [1] (b) Use your table to draw the graph of y = 8 – 2x y 12 11 10 9 8 7 6 5 4 3 2 1 x –2 –1 0 1 2 3 4 5 [2] (c) The line L passes through the point (1, 2). The gradient of line L is 3. Draw line L on the grid. [2] © UCLES 2011 1112/01/SP/12
  • 11. 11 10 A group of students is asked how long they spend doing homework. For Examiner's The pie charts summarise the results. Use girls boys 2 hours 5 hours 1 hour 6 hours 3 hours 2 hours 5 hours 4 hours 4 hours 3 hours Use the pie charts to decide whether each statement is true, false or there is not enough information to decide. Give a reason for each choice. (a) All of the boys spend less than 6 hours doing homework. True False Not enough information Reason [1] (b) The total number of boys is the same as the total number of girls. True False Not enough information Reason [1] (c) The boys’ mode is 6 hours. True False Not enough information Reason [1] © UCLES 2011 1112/01/SP/12 [Turn over
  • 12. 12 11 (a) Using only these numbers, complete the statements. For Examiner's Use 3 5 6 24 30 60 (i) and are factors of 12. [1] (ii) and are multiples of 15. [1] (b) Work out. 3 (i) 125 [1] (ii) 24 [1] (iii) 50 [1] 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. University of 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 2011 1112/01/SP/12