STUDENT NAME: TEACHER: DATE: Year 9 Mathematics Examination SEMESTER 2 2016 QUESTION AND ANSWER BOOKLET TIME ALLOWED FOR THIS PAPER Reading time before commencing work: 10 minutes Working time for this paper: 105 minutes MATERIAL TO BE PROVIDED BY THE SUPERVISOR This Question/Answer Booklet MATERIAL TO BE PROVIDED BY THE CANDIDATE Pen/pencil for answering questions. Erasing stationery. Up to two scientific calculators. Written notes on one unfolded A4 sized paper; can be double-sided. TOTAL QUESTIONS: 42 TOTAL MARKS: 80 Section 1: Multiple choice 29 questions, 29 marks Attempt questions 1-29 Section 2: Written answer 13 questions, 51 marks Attempt questions 1-13 AT THE END OF THE EXAMINATION Attach any extra sheets used to this Question/Answer booklet. IMPORTANT NOTE TO CANDIDATES No other items may be taken into the examination room. It is your responsibility to ensure that you do not have any unauthorised notes or other items of a non-personal nature in the examination room. If you have any unauthorised material with you, hand it to the supervisor BEFORE reading any further.
Kinross College Year 9 Mathematics Exam, Semester 2 2016 1
Section 1: Multiple choice (total 29 marks, one mark per question) 1. Which is not correct? a) b) c) d) 2. The diagram shows the proportion of flights to different international regions for an airline. One region makes up about 60% of the airline s flights. Which region is it? a) Asia b) Europe c) North America d) New Zealand 3. The measuring cylinder shown contains some water. How much more water must be added to the cylinder, so that it holds 2 litres of water? a) 760 ml b) 800 ml c) 1 240 ml d) 1200 ml 2000 ml 1750 1500 1250 1000 750 500 250 0 Kinross College Year 9 Mathematics Exam, Semester 2 2016 2
4. Which unit would be the most appropriate to measure the area of this page? a) Square metres b) Hectares c) Square centimetres d) Centimetres 5. Evaluate correct to 2 decimal places. a) 0.34 b) 0.49 c) 2.02 d) 4.45 6. Which of these shows the smallest change in temperature? a) from 10 C to 5 C b) from 4 C to 0 C b) from 3 C to 3 C d) from 4 C to 6 C 7. Tim had $32 to spend while on holiday. He spent exactly the same amount each day. At the end of the holiday he had no money left. Which of these could be the amount he spent each day? a) $6 b) $5 c) $4 d) $3 Kinross College Year 9 Mathematics Exam, Semester 2 2016 3
8. This regular hexagon has been made by putting together 3 identical smaller shapes. Which of these could be that smaller shape? 9. Which one of the following triangles is impossible to draw? a) An isosceles triangle with one right angle b) An equilateral triangle with one right angle c) A scalene triangle with one obtuse angle d) An isosceles triangle with three acute angles 10. A phone survey of 100 people found that eight people would not participate in the survey. What is the probability that a person chosen at random would participate in the survey? 1 11. Find the value of correct to two decimal places. Kinross College Year 9 Mathematics Exam, Semester 2 2016 4
a) 4.68 b) 4.69 c) 38 d) 6.38 12. A signal at a pedestrian crossing stays red for 35 seconds. It then changes to green for 15 seconds. What is the probability it will be green when a person approaches the crossing? 0.3 0.4 0.5 0.6 13. Kayla bought 8 boxes of pencils. In total this was 96 pencils. Which equation correctly shows as the average number of pencils in each box? a) b) c) d) 14. The number of trucks passing through a set of traffic lights each day was 7, 14, 13, 11, 5, 5 and 18. Which of the following is the smallest? Mean Median Mode Range 15. What is the gradient of? Kinross College Year 9 Mathematics Exam, Semester 2 2016 5
a) b) c) d) 16. Austin thinks of a number. He multiplies the number by itself, halves this answer and then subtracts 3. Which expression shows what Austin did? 2x 3 2 x x 2 3 3 2 2 2 2 x 2 3 17. The diameter of a circular table is 5.2 metres. What is the circumference of the table to the nearest metre? 8 m 10 m 16 m 32 m 18. A bag contains 50 coloured marbles. This table shows how many marbles of each colour are in the bag. Colour Blue Green Orange Red Yellow Number 5 10 20 10 5 One marble is picked at random from the bag. What is the probability of the marble being blue or green? 0.1 0.15 0.2 0.3 Kinross College Year 9 Mathematics Exam, Semester 2 2016 6
19. Find an expression for the perimeter of the shape below: 20. Find the length of correct to one decimal place. a) 0.5 m b) 38.0 cm c) 45.9 cm d) 56.4 cm 21. Which of the following is correct? a) The gradient of the line is b) The equation of the line is c) The coordinate of the -intercept is (0,6) d) The point (2,3) lies on the line Kinross College Year 9 Mathematics Exam, Semester 2 2016 7
22. The dot plot shows the number of hours watching television each day. 6 5 4 3 2 1 1 2 3 4 5 6 7 8 Hours What percentage is 7 or more hours of the total number of hours? Answer to the nearest percentage. 3% 11% 12% 26% 23. A frequency distribution table is shown below. Score Frequency 0 2 1 0 2 6 3 4 What is the mean? 0 1 2 3 24.. What is the value of? 200 800 3200 4800 Kinross College Year 9 Mathematics Exam, Semester 2 2016 8
25. What is the range of data in this stem-and-leaf plot? 4 3 5 9 5 2 4 8 6 1 2 4 8 9 7 4 5 6 3 33 43 76 26. What is the gradient of the line? 27. A three-digit number is formed from the digits 3, 5, 6 and 7. What is the probability that the number will be odd? 0.25 0.50 0.75 0.80 Kinross College Year 9 Mathematics Exam, Semester 2 2016 9
28. Where does the line cut the -axis and -axis? a) ( ) and ( ) b) ( ) and ( ) c) ( ) and ( ) d) ( ) and ( ) 29. The results in a class test were: 9, 6, 8, 8, 6, 4, 10, 8, 5 and 7. Which of the following statements is correct? a) Median was 5 and the mode was 8. b) Median was 7.1 and the mode was 6. c) Median was 7.5 and the mode was 7.1 d) Median was 7.5 and the mode was 8 Kinross College Year 9 Mathematics Exam, Semester 2 2016 10
Section 2: Written answer (total 51 marks) 1. What is the perimeter of the house shown below? 2 Mark 2. Shape A has the same area as two other shapes. What are these shapes? 1 3. Maps are used to locate the positions of many different things. Look at this map of a backyard. What are the coordinates for: 4 Kinross College Year 9 Mathematics Exam, Semester 2 2016 11
4. A bag contains 4 numbered disks with the digits 1, 3, 5 and 7 on them. Three of the disks are drawn from the bag and placed in a line to form a three-digit number. a) In the space below, draw a tree diagram to show all the possible numbers formed when the three disks are drawn from the bag. 2 b) What is the probability that the number formed ends in 35? 1 c) What is the probability that the number formed is divisible by 3? 1 d) What is the probability that the number formed is greater than 351? 1 5. Calculate the area of these two shapes: 4 a) Kinross College Year 9 Mathematics Exam, Semester 2 2016 12
b) 6. A cylindrical pipe is installed as part of a skate park. 4 a) What is the circumference of the pipe? Answer to three decimal places. b) Draw the net of this pipe. Include all measurements. 7. A jug contains 1.5 L of milk. Eden adds an extra 150 ml of milk to the jug. 3 How many millilitres of milk are now in the jug? Kinross College Year 9 Mathematics Exam, Semester 2 2016 13
8. Find the gradient of the following line: 2 9. Find the midpoint between the following pair of points: ( ) and ( ). Show your working out. 3 10. The points (3,6), (-3, 2) and (1, -4) have been plotted on the following Cartesian plane. Find the distance between point and point. Show your working out, rounding your answer to two decimal places. 4 Kinross College Year 9 Mathematics Exam, Semester 2 2016 14
11. Jerry made this fan. 3 He used 10 identical isosceles triangles. When the fan is open, its base forms a straight line. How many degrees is the angle marked? 12. Find the surface area of each shape below. Round your answer to 3 decimal places when required. 6 a) b) Kinross College Year 9 Mathematics Exam, Semester 2 2016 15
13. The table and the graph below show the number of matches in a sample of 30 boxes from two different brands. 10 a) Complete the back to back histogram, using the data from the table. Strike Brand Number of Matches in Box Frequency 46 2 47 4 48 4 49 6 50 4 51 6 52 4 b) Find the range for each brand of matches. c) Find the three measures of central tendency for each brand of matches. d) Comment on the distribution of matches for the two brands, referring to statistical terms and measures. Kinross College Year 9 Mathematics Exam, Semester 2 2016 16