[PDF] Cambridge Secondary Checkpoint - Math (1112) October 2015 Paper 2.pdf | Plain Text

This document consists of 19 printed pages and 1 blank page. IB15 10_1112_02/4RP © UCLES 2015 [Turn over *0529120111* Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/02 Paper 2 October 2015 1 hour Candidates answer on the Question Paper. Additional Materials: Calculator 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. Calculator allowed. You should show all your working in the booklet. The number of marks is given in brackets [ ] at the end of each questio\ n or part question. The total number of marks for this paper is 50.

2 © UCLES 2015 1112/02/O/N/15 1 Karim does a survey of the number of people in cars passing his house in the morning. He does this on Monday and on Saturday. The charts show the results. 123456 Frequency Number of people Monday 30 20 10 0 123456 Frequency Number of people Saturday 30 20 10 0 Tick (
) the box to show which day has the larger mode. Monday Saturday They are the same Give a reason for your answer. [1]

3 © UCLES 2015 1112/02/O/N/15 [Turn over 2 Enid uses a term-to-term rule to work out a sequence. Here are the first four terms. 23 29 35 41 (a) Write down the term-to-term rule. [1] (b) Work out the 11th term of the sequence. 11th term = [1] 3 Rosie is filling up her bath. She starts by turning on just the cold tap. After a while she also turns on the hot tap. Put a ring around the graph that best show s the depth of water in Rosie’s bath. Time Time Time Depth of   water Depth of   water Depth of   water Depth of   water Time [1]

4 © UCLES 2015 1112/02/O/N/15 4 The length of a nail rounded to one decimal place is 6.9 cm. Write down the shortest possible length that the nail could be. cm [1] 5 A fruit bowl contains apples, bananas and oranges. The number of each type of fruit is shown in the table. Type of fruit Number Apple 2 Banana 6 Orange 4 Tori takes a piece of fruit from the bowl at random. Draw an arrow to place each of the following events on the probability scale. Event E: Tori takes out a banana Event F: Tori takes out an orange Event G: Tori does not take out an apple Event H: Tori takes out a strawberry The first one has been done for you. E 01 [2]

5 © UCLES 2015 1112/02/O/N/15 [Turn over 6 (a) Simplify 3 y + 7 + 2 y + 1 [1] (b) Expand the brackets 6(2 w + 5) [1] 7 Amin and Cara take a maths test. Amin scores 40 marks and Cara scores 60 marks. (a) Write the ratio of Amin to Cara’s marks as simply as possible. : [1] (b) They are given $20 to share between them. They share the money in the ratio of their marks. How much does Amin receive? $ [1]

6 © UCLES 2015 1112/02/O/N/15 8 This chart shows the time the students in th ree classes took to complete their homework. 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Class Class Class Percentage  of students XY Z Key more than 1 hour between 30 minutes and 1 hour less than 30 minutes Time to complete homework Find the percentage of students in Class X that took more than 1 hour. % [1] 9 Put a ring around the calculat ion with the largest answer. 52 of 410 38% of 420 Show how you know. [2]

7 © UCLES 2015 1112/02/O/N/15 [Turn over 10 A circle has a diameter of 8.6 cm. 8.6 cm NOT TO  SCALE Calculate the circumference of the circle. cm [2]

8 © UCLES 2015 1112/02/O/N/15 11 Kofi has 20 snakes. The lengths in metres of his snakes are 1.07 0.78 1.89 2.64 0.55 1.43 2.51 3.27 2.18 1.79 0.63 1.12 2.07 2.93 1.40 3.15 2.83 1.62 2.90 1.52 (a) Complete the frequency table for the lengths. The first two rows have been done for you. Length, l (metres) Tally Frequency 0 ≤ l < 1 3 1 ≤ l < 2 8 2 ≤ l < 3 3 ≤ l < 4 [1] (b) Draw a frequency diagram to show the lengths of Kofi’s snakes. The first bar has been drawn for you. 1 0 0 1 2 3 4 5 6 7 8 9 10 2 3 Length (metres) Frequency 4 [1]

9 © UCLES 2015 1112/02/O/N/15 [Turn over (c) Liam also keeps snakes. The lengths of his snakes are shown in the frequency diagram. 1 0 0 1 2 3 4 5 6 7 8 9 10 2 3 Length (metres) Frequency 4 5 Tick (
) to show whether each of these statements is true or false. Liam’s longest snake is longer than Kofi’s longest snake. True False The modal class for the length of Liam’s snak es is the same as the modal class for the length of Kofi’s snakes. True False [1]

10 © UCLES 2015 1112/02/O/N/15 12 Here are the names of 5 shapes. A rectangle B pentagon C kite D parallelogram E square The diagram can be used to sort these shapes. Are the diagonals perpendicular?Does it have 4 equal angles? Does  it  have  two  pairs of parallel sides? Does it have exactly 4 sides? A, B, C, D, E No No No No Ye s Ye s Ye s Ye s B Complete the diagram by writing one of A, B, C, D or E in each gap. B has been done for you. [2]

11 © UCLES 2015 1112/02/O/N/15 [Turn over 13 Jack says, I think of a number,  n, subtract 5, then divide by 7 Write an expression for the result in terms of n. [1] 14 In a 1.65 hectare area of land, 26% is covered by buildings. Calculate the area of land, in hectares, covered by buildings. hectares [1]

12 © UCLES 2015 1112/02/O/N/15 15 A and B are points with coordinates (–2, 5) and (6, –7). A  (–2, 5) B (6, –7) NOT TO SCALE y x O M is the midpoint of the line joining A to B. Work out the coordinates of M. ( , ) [2] 16 Round each of these numbers correct to 2 significant figures. 17 865.2 = 0.006047 = [2] 17 Write as a single power of 3 9 × 3 5 [1]

13 © UCLES 2015 1112/02/O/N/15 [Turn over 18 Calculate the volume of the prism. 8 cm 7  cm 13  cm 3  cm 5  cm NOT TO SCALE cm 3 [3] 19 Write the missing number in the box. 40.4  7 =  35 [1]

14 © UCLES 2015 1112/02/O/N/15 20 The diagram shows three scatter graphs. Graph A Mass (kg) Age (months) Graph B Mass (kg) Age (months) Graph C Mass (kg) Age (months) (a) Describe the type of correlation shown in Graph C. correlation [1] (b) One of the scatter graphs shows the masses of 8 babies plotted against their ages. Put a ring around this scatter graph. Graph A Graph B Graph C Give a reason for your answer. [1] 21 Write the missing number in the box. x + x = 4 x 3 9 [1]

15 © UCLES 2015 1112/02/O/N/15 [Turn over 22 Three containers are shown. 2 l jug cylinder cuboid The capacity of the jug is 2 litres. The cylinder has a radius 5 cm and height 15 cm. The cuboid has width 12 cm, le ngth 15 cm and height 8 cm. Put the containers in order of their ca pacities from smallest to largest. Show your working. Volume of a cylinder = πr 2h [3] Smallest Largest

16 © UCLES 2015 1112/02/O/N/15 23 The graph of y = x – 3 is drawn on the grid. y x 12 34 0 −1 −2 −3 −4 2 4 6 −2 −4 −6 8  10 12 y  =   x – 3  (a) Draw the line 2 x + y = 3 on the grid. [2] (b) Use your answer to part (a) to solve the simultaneous equations. y = x – 3 2 x + y = 3 x = y = [1]

17 © UCLES 2015 1112/02/O/N/15 [Turn over 24 Hari buys 38.5 litres of petrol. He pays $54.67 Josie buys the same type of petrol and pays $80.00 Calculate how many litres Josie buys. litres [2] 25 (a) The probability that a hockey team will draw its next match is 0.1 The probability the team will win is twice the probability it will lose.\ Work out the probability the team will win. [1] (b) This table shows the results of tw o handball teams in recent matches. Win Lose Draw Team A 7 5 4 Team B 9 12 7 Which team has a better winning record? Put a tick (
) in the correct box. Team A Team B Both the same Give a reason for your answer. [1]

18 © UCLES 2015 1112/02/O/N/15 26 The diagram shows the positions of a bridge, a tower and a station. 70° To w e r 50° 60° Bridge Station NOT TO  SCALE The station is due north of the bridge. (a) Write down the bearing of the tower from the bridge. Bearing = ° [1] (b) Work out the bearing of the station from the tower. Bearing = ° [1]

19 © UCLES 2015 1112/02/O/N/15 27 Nadia is organising a party. She wants to buy 18 litres of orange juice. She can buy it from her local shop or from the supermarket. Local shop Supermarket $2.48 $2.10 1litre 1litre 1litre 1litre Her local shop offers her a discount of 12.5% off the total price if she buys 12 or more cartons. She wants to buy the orange juice from just one shop. Work out which shop is cheaper, and by how much. is cheaper by $ [3]

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