[PDF] Cambridge Secondary Checkpoint - Math (1112) October 2016 Paper 2.pdf | Plain Text

This document consists of 20 printed pages. IB16 10_1112_02/6RP © UCLES 2016 [Turn over   Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/02 Paper 2 October 2016 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 question or part question. The total number of marks for this paper is 50.

2 © UCLES 2016 1112/02/O/N/16 1 Write the missing numbers in these ratios. (a) 45 : 60 = : 4 [1] (b) 14 : = 2 : 5 [1] 2 The diagram shows a probability scale. 0 0.1 0.2 0.3 0.4 0.5A 0.6 0.7 0.8 0.9 1 Write the letters for the probabilities of these events on the probability scale. The first one has been done for you. A – The probability of a new baby being a boy. B – The probability of picking a blue pen from a box containing 2 black pens and 8 blue pens. C – The probability of rolling a 7 on a dice with faces numbered 1 to 6 D – The probability of picking the letter M at random from the letters in the word GAME. [1]

3 © UCLES 2016 1112/02/O/N/16 [Turn over 3 The diagram shows 8 points labelled A to H. 0 123456 1 2 3 4 5 6 ABC HG F ED x y (a) Put a ring around the two points that the line y = 4 passes through. A B C D E F G H [1] (b) Write down the equation of the line that passes through the points C and G. [1] 4 Here is a calculation. 109 ÷ 15 = 7 remainder 4 Put a ring around the correct fraction for the answer to this calculation. 4 7 1094 7 4 7 15 4 7 15 4 7 7 [1]

4 © UCLES 2016 1112/02/O/N/16 5 Translate the triangle one square right and three squares down. [1]

5 © UCLES 2016 1112/02/O/N/16 [Turn over 6 This graph shows some input and output values for a number machine. 5 6 7 8 9 10 4 3 2 1 123456 0 Output Input 0 Complete the number machine. Input Outpu t [1]

6 © UCLES 2016 1112/02/O/N/16 7 Manjit wants to carry out a survey to find out what students in her school like to do in their spare time. She designs a questionnaire. Here is one of the questions on her questionnaire. What do you like to do in your spare time? Tick () one box. Read Play sport Write down one problem with this question. [1] 8 Mia and Paul are looking at the same whole number. To the nearest thousand it is 44 000 To the nearest ten it is 44 000 They are both correct. Write down one possible value of the number. [1]

7 © UCLES 2016 1112/02/O/N/16 [Turn over 9 A bag contains black, grey and spotty beads. black Key grey spotty A bead is picked at random from this bag without looking. (a) Write down the probability of not picking a black bead. [1] (b) Write down the probability that the bead is black or spotty. [1] 10 The population of a country is 39 634 274 Write this number correct to the nearest million. [1]

8 © UCLES 2016 1112/02/O/N/16 11 The pie charts show the colours of men’s coats and women’s coats sold in a shop last Thursday. Brown Brown Blue Blue Other Other BlackBlack Men’s coats Women’s coats Total: 108 coats sold Total: 76 coats sold Ahmed says, Last Thursday the shop sold more women’s black coats than men’s black coats. Tick () to show if Ahmed is correct. Yes No Cannot tell Give a reason to explain your answer. [1]

9 © UCLES 2016 1112/02/O/N/16 [Turn over 12 The graph shows the number of hours of sunshine for six days in November. The column for 10-Nov is missing. 0 1 2 3 06-Nov 07-Nov 08-Nov 09-Nov 10-Nov 11-Nov 4 5 Hours of sunshine Date 6 7 8 9 The mean number of hours of sunshine for the six days is 4.5 Calculate how many hours of sunshine there were on 10-Nov. hours [2] 13 Mario, Franco and Gina share 153 badges in the ratio 2 : 3 : 4 Work out how many badges Mario gets. badges [2]

10 © UCLES 2016 1112/02/O/N/16 14 Raj has a present to wrap. He has a choice of 3 colours of wrapping paper: blue, red or green. He has a choice of 2 colours of ribbon: yellow or green. Raj chooses the wrapping paper and the ribbon at random. (a) Complete the table to show all the possible colour combinations. You may not need all the rows in the table. Wrapping paper Ribbon Blue Yellow Blue Green [1] (b) Write down the probability that the ribbon is the same colour as the wrapping paper. [1]

11 © UCLES 2016 1112/02/O/N/16 [Turn over 15 Simplify (a) t × t × t × t [1] (b) 3r – r 2 + 5r + 3r 2 [2] 16 Tick () all the correct statements about the number 6 6 is a multiple of 12 6 is a factor of 18 6 is a prime factor of 30 6 is a common factor of 42 and 60 6 is the highest common factor of 24 and 36 [2]

12 © UCLES 2016 1112/02/O/N/16 17 The diagram shows a triangular prism. 2 cm3 cm 1.5 cm2.5 cmNOT TO SCALE Draw accurately a net of this prism. The base has been drawn for you. [2] 18 Sandra takes an 80-mile train journey from Wellington to Palmerston North. Change this distance to kilometres. kilometres [1]

13 © UCLES 2016 1112/02/O/N/16 [Turn over 19 Write as a single fraction. (a) x 2 + x 7 – x 1 [1] (b) 2 1 + m t [2] 20 Gemma can pay for a book in dollars ($) or in euros (€). $8.10 €5.70 Gemma wants to pay the lowest amount for the book. The exchange rate is $1 = €0.72 Work out which currency Gemma should use. Dollars Euros You must show your working. [2]

14 © UCLES 2016 1112/02/O/N/16 21 (a) Here is a relationship involving powers of 7 87 7 7  y x x and y are positive whole numbers each greater than 1 Write down one possible pair of values for x and y. x = y = [1] (b) Here is another relationship involving powers of 5 45 5 5  n m m and n are positive whole numbers each greater than 1 Write down one possible pair of values for m and n. m = n = [1]

15 © UCLES 2016 1112/02/O/N/16 [Turn over 22 This table shows the mass of a child at different ages. Age Mass in kilograms 5 18.3 6 20.3 7 22.6 8 25.3 (a) From age 8 to age 9 the child’s mass increases by 12%. Calculate the mass at age 9 kg [1] (b) Calculate the percentage increase in mass from age 5 to age 8 % [2]

16 © UCLES 2016 1112/02/O/N/16 23 40 children are in a running club. They run a 400-metre race in April and again in July. Their running times are shown in the frequency diagrams. April Time (seconds) 60 65 70 75 80 85 90 60 65 70 75 80 85 90 Frequency 2 4 6 8 10 12 0 14 July Time (seconds) Frequency 2 4 6 8 10 12 0 14 Put a ring around the month in which the children run the race more quickly. April July Give a reason for your answer. [1]

17 © UCLES 2016 1112/02/O/N/16 [Turn over 24 Bilal wishes to travel from Eastport to Gordonton. He can choose between two routes. Route A: Direct route Route B: Going through Timpton The distances for each route are shown on the diagram. Eastport Timpton 48 km90 km 72 kmGordonton Route A Route B Key:NOT TO SCALE If he travels on Route A, he can travel at an average speed of 40 kilometres per hour. If he travels on Route B, he can travel at an average speed of 50 kilometres per hour. Work out the difference, in minutes , between the journey times using the two routes. minutes [3]

18 © UCLES 2016 1112/02/O/N/16 25 Find the first 4 terms of these sequences. (a) The position-to-term rule is multiply by 2 then add 3 [1] (b) The third term is 17, the term-to-term rule is add 5 [1] 26 A farmer wants to sow seed on a field with an area of 120 000 square metres. He needs 10 grams of seed per square metre of field. One kilogram of seed costs $0.40 Work out the cost of the seed that the farmer needs. $ [2]

19 © UCLES 2016 1112/02/O/N/16 [Turn over 27 The graph shows the cost of gold in dollars. 250 200 150 100 50 012345 G C Mass of gold (grams) Cost of gold (dollars) 0 Use the graph to find a formula for the cost in dollars, C, of G grams of gold. C = [1]

20 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 2016 1112/02/O/N/16 28 Describe fully the single transformation that maps triangle A onto triangle B. –3 –2 1B x y A 2345 –3 –2 –10 1 2 3 4 5 –1 A 11 [3]