[PDF] Cambridge Secondary Checkpoint - Math (1112) October 2015 Paper 1.pdf | Plain Text

This document consists of 14 printed pages and 2 blank pages. IB15 10_1112_01/5RP © UCLES 2015 [Turn over *9469978289* Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/01 Paper 1 October 2015 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 2015 1112/01/O/N/15 1 The timetable shows the times of five buses. Oldfield 16 00 16 20 16 35 16 50 17 05 Newton 16 21 16 41 16 56 17 11 17 26 Arden 16 39 16 51 17 14 17 21 17 44 Wiley 16 57 17 17 17 32 17 47 18 02 (a) Write down the time when the second of these buses leaves Newton. [1] (b) Karl arrives at the bus stop in Arden at 16 55 Work out how long he waits for the next bus. [1] 2 Jerome has 6 number cards. 49 51 53 55 57 59 (a) Which two of Jerome’s numbers are prime numbers? and [1] (b) Explain why 51 is not a prime number. [1]

3 © UCLES 2015 1112/01/O/N/15 [Turn over 3 (a) Plot points A (3, –1), B (3, 3) and C (– 4, 2). – 1 0 – 2 –3 –4 –5 –6 –1 1 2 3 4 5 6y x –2 –3 –4 –5 –6 1 2 3 4 5 6 [1] (b) ABCD is a parallelogram. Write down the coordinates of point D. D ( , ) [1]

4 © UCLES 2015 1112/01/O/N/15 4 Put a ring around all the fractions that are equivalent to 0.35 5 3 20 7 3 1 100 35 1035 35 1 [2] 5 The diagram shows a sketch of a triangle. 34° 7.2  cm 6.5  cm NOT TO SCALE Draw this triangle accurately in the space below. One line has been drawn for you. 6.5  cm [2]

5 © UCLES 2015 1112/01/O/N/15 [Turn over 6 (a) Work out 18.6 × 7 [1] (b) Work out 177 ÷ 20 Give your answer as a mixed number. [1] 7 Sarah draws a pie chart to show the time she spends on different activities one day. Here is the table she uses. Activity sleep school travel eat play Hours 12 5 1 2 Pie chart angle 180° 30° 60° Complete the table. [1]

6  © UCLES 2015 1112/01/O/N/15 8 Draw a line to match each  calculation to its answer.     0.07 0.7 × 10     0.7  70 × 0.01     7  7 ÷ 0.01     70  7 ÷ 0.1     700       [2]      9 Here is a formula.    a   =  2 b  −   c     Find the value of  a when      (a)   b = 11 and   c = 3            [1]         (b)  b = 12 and   c = −4                     [1]    

7 © UCLES 2015 1112/01/O/N/15 [Turn over 10 A boy spends 4 1 of his money on sweets and 3 1 on computer games. What fraction of his money does he not spend? [1] 11 Here is a list of eight commonly used units. mm cm m km cm 2 m 2 cm 3 m 3 Choose from the list the most suitable unit to complete each of the following sentences. The hei ght of a fla g pole is measured in The volume of water in a swimmin g pool is measured in The area of a football pitch is measured in The amount your fingernail grows in length in one month is measured in [2]

8 © UCLES 2015 1112/01/O/N/15 12 (a) Express each of these functions using symbols. The first one has been done for you. In words In symbols Subtract 5 x → x – 5 Divide by 7 x → Multiply by 2 and then add 1 x → [1] (b) Another function is given by 3) 4( + → x x Fill in the gaps to express this function in words. and then [1] 13 Usain runs 5 km in 30 minutes. How many minutes does it take him to run 8 km at the same speed? minutes [2] 14 Write down the nth term for the following sequences. (a) 4, 8, 12, 16, 20… [1] (b) 7, 10, 13, 16, 19… [2]

9 © UCLES 2015 1112/01/O/N/15 [Turn over 15 A teacher wrote this sum on the board. $9.61 + $0.39 + $2.71 + $5.28 + $7.29 + $4.72 She said, Tell me a quick way to work this out without using a calculator Explain how to do this. [1] 16 Work out 109 4 3 ÷ Give your answer as a fraction in its simplest form. [2] 17 Solve the equation. 3(3 – 2 x) = 2 x – 11 x = [3]

10 © UCLES 2015 1112/01/O/N/15 18 Write down the whole number that is the best estimate for (a) 124 [1] (b) 3124 [1] 19 Show the inequality x > 3 on the number line. − 4−  3−  2−  101234 − 55 [1] 20 One US dollar is equivalent to 7.76 Hong Kong dollars. Work out how many Hong Kong dollar s are equivalent to 500 US dollars. Hong Kong dollars [1]

11 © UCLES 2015 1112/01/O/N/15 [Turn over 21 The diagram shows two straight lines, ABC and EDC. c° b° a° 116° C A B E DNOT TO  SCALE  BC = DC DB = DE Angle EDB = 116° Work out the values of a, b and c. a = b = c = [3]

12 © UCLES 2015 1112/01/O/N/15 22 The diagram shows two quadrilaterals, Q and R, on a grid. – 1 – 1 – 2 –2 1 2 3 4 5 6 7 8 9 10 1 0 Q R 2 3 4 5 6 7 8 9 10 x y Describe fully the transformation that maps quadrilateral Q onto quadrilateral R. [2] 23 Work out 7.2 ÷ 0.15 [1]

13 © UCLES 2015 1112/01/O/N/15 [Turn over 24 Nesreen wants to find out how often peo ple in her town visit the cinema. She collects data from 10 people standing in a queue outside a cinema. Write down two reasons why the data she collects may not be reliable. Reason 1 Reason 2 [2] 25 A girl goes on a bike ride for four hours. The graph shows her journey. 10 20 30 40 50 1234Time  (h) Distance  (km) 0 0 Find her average speed for the whole journey. [2]

14 © UCLES 2015 1112/01/O/N/15 26 Syed has a six-sided dice. His dice is numbered 1, 2, 3, 4, 5 and 6 He throws the dice 300 times. Syed gets a ‘five’ 90 times. Work out the relative frequency of throwing a ‘five’. [1] 27 x and y are positive numbers. Here are some statements. x ×  y > 0 x ÷  y

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