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9 year 2010 Use 2B or HB pencil only © ACARA, on behalf of \bhe Minis\berial Council for Educa\bion, Early Childhood Developmen\b and You\bh Affairs, 2010. 0:40 Time available for s\buden\bs \bo comple\be \bes\b: 40 minu\bes SeSSION 1 n AT ion Al A ssEss ME nT p Rog RAM li TERACY A nD n UMERACY NUM eraCy C al CU lat Or all OWe\b

\bo not write on thi\Ms page.

3 © MCEECDYA 2010 YEAR 9 NUMeraCy PraCtICe QUeStIONS P1 50, 100, 150, 200\,, 250, ? Which number comes\5 next in this sequ\5ence? 251 260300 350 P2 \bse numbers to writ\5e one dollar and s\5eventy-five cents. $ P3 268 cents equals dollars and cents. Shade one bubble. Write your answer in the boxes. Write your answer in the box.

4 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 1 What number is mis\5sing from this number sen\5tence? 5 × ? + 15 = 85 2 10 1420 2 Tracey drew this design for\5 a wooden toy. Which picture shows a top view of Tracey’s design? 3 Joe made this desi\5gn by joining six \5tiles together. The tiles are grey on all faces. Which of these cou\5ld not be Joe’s design? 4 Which expression is always e\5qual to 2x + 5 + 3x + 4 ? 7x + 7 14x5x + 9 8x + 6 Shade one bubble.

5 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 5 This shape is made\5 with 6 equilatera\5l triangles. 1  cm What is the perime\5ter of the shape? 6 cm 8 cm 10 cm 18 cm 6 Which of these is \5the best estimate \5for the mass of th\5is hammer? 30 grams 300 grams 30 kilograms 300 kilograms 7 Lyn enlarged a copy of pict\5ure A and labelled it p\5icture B. 2.7  cm picture B picture A ? The lengths in pic\5ture B are 3 times the lengt\5hs in picture A. How high is the ma\5rked height in pic\5ture A? 0.9 cm 1.11 cm 1.35 cm 8.1 cm Shade one bubble.

6 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 8 In Sandra’s school\5 there are 60 teachers and 9\500 students. What is the ratio \5of teachers to stu\5dents? 1 : 15 1 : 16 15 : 16 30 : 2 9 This graph shows d\5ata on how many mo\5torcycles a factory produced in one mont\5h. 10 8 6 4 2 0 130 –134 135–139 140–144 Motorcycles produced in one mont\bh Number of motorcycles Number  of days 145–149 150–154 155–159 On how many days d\5id the factory produce less than 140 motorcycles? 5 6911 10 Nathan made this p\5attern of shapes u\5sing large and small circles. Large circles Shape Small circles 1 42 6 3 8 He continues the p\5attern. How many small circles are in Nathan’s 14th \5shape? 12 202830 Shade one bubble.

7 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 11 A prize of $5934 is \5shared equally among 15\5 friends. How much does each\5 person get in dollars and cents? dollars and cents 12 The top speed of t\5his wombat is 660 m\5etres per minute. What is the top sp\5eed of the wombat \5in metres per second? 11 66110 600 13 This stack of pape\5r is 48 mm thick. 48 mm Each sheet of pape\5r in the stack is \50.09 mm thick. Which value is clo\5sest to the number\5 of sheets in the \5stack? 432 480500533 14 A biscuit tin is in\5 the shape of a regular octagonal prism. The lid is taken o\5ff and rotated until it is\5 able to fit back on\5 the tin. What is the smallest number of degrees of rotation that will \5achieve this? 22.5 ° 45 ° 60 ° 90 ° Shade one bubble. Write your answer in the boxes.

8 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 15 Kiri has to find the\5 value of this exp\5ression without a calculator. 20 – 12 × √9.5 + 6.5 Which calculation \5should she do first?\5 20 – 12 12 ÷ 9.5 √9.59.5 + 6.5 16 This block has 6 f\5aces which are numbered from 1 to 6. Vicky throws the block 1000 t\5imes to test it an\5d records the outcomes. Number on top face 123456 Frequency 150360146144 68132 What is the probability of rolling a 2 based o\5n Vicky’s results? 1 6 1 60 9 25 3 500 17 Brian’s mother dri\5ves him to school.\5 The diagram shows \5the routes they can tak\5e and the travel t\5imes. Home 7 min 13  min 6  min 6 min 4  min 14 min 8  min 7  min 7 min 5 min School What is the shortest time for Brian to\5 get to school? 23 minutes 24 minutes25 minutes26 minutes Shade one bubble.

9 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 18 An electrician cal\5culates the price \5of a job using a s\5ervice fee and an amount per hour. This table shows s\5ome of the job pri\5ces. Hours 2456 Job price $160$252$298$344 How are the job prices c\5alculated? $80 service fee + $\540 per hour $80 service fee + $\580 per hour $68 service fee + \5$92 per hour $68 service fee + \5$46 per hour 19 Jack is checking t\5he price of four d\5etergents. Hex Hex detergent $7.85, 1100  mL Sun Sun detergent $5.25, 750 mL Green Green detergent $4.50, 600 mL Lemon Lemon detergent $4.25, 500 mL Which detergent is the cheape\5st per litre? Hex SunGreen Lemon 20 The diagram shows \5some measurements of a nature reserve. 20  m 25  m 52  m 65 m 63  m 16  m What is the area of the nature reserve? 158 m 2 936 m 2 1134 m 2 1170 m 2 Shade one bubble.

10 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 21 Mount St. Helens i\5s a volcano that e\5rupted in 1980. Before it erupted, it was 2950 m high. After the eruption, it was 2550 m high. Mount St. Helens after eruption Mount St. Helens before eruption By what percentage of its ori\5ginal height did i\5t decrease after the eruption? 13.6% 15.7%86.4% 115% 22 As Mike skydives, \5the air temperatur\5e increases by the same \5amount every 100 metres. At a height of 5000 \5metres the temperature is –18 °C. At ground level the tem\5perature is 22 °C. What is the air te\5mperature at a height of 2\5000 metres? 4 °C 6 °C 8 °C 16 °C 23 The diagram shows \5part of a roof structure. x° 62° What is the value \5of x  ? Shade one bubble. Write your answer in the box.

11 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 24 This graph shows h\5ow to find the cost \5of the gas used in\5 Jim’s house. Cost ($) Gas units used 100 80 60 40 200 0 12 3 45 Gas costs The expression to calculat\5e the cost is 20 + (5 × gas units\5 used) 20 + (16 × gas unit\5s used) 20 + (20 × gas unit\5s used) 20 + (100 × gas unit\5s used) 25 Greg sold one hot do\5g every 2 minutes \5 at a festival. At this rate, how \5many minutes would\5 it take to sell $110 worth of hot dog\5s? 25 minutes 50 minutes 55 minutes 100 minutes 26 Jamie surveyed all\5 the Year 7 students at \5his school about t\5heir favourite spo\5rt. Favourite sport Number of students\M Baske\bball 85 Cricke\b 35 Foo\bball 55 ne\bball 75 Which sport did 3 o\5ut of every 10 Year 7 students cho\5ose as their favou\5rite? Basketball CricketFootball Netball $2.20 each Shade one bubble.

12 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 27 Dan has started to\5 cover a rectangular floor wi\5th tiles. The tiles are twice as long as\5 they are wide. The floor is 10 1 2 tiles wide and 18 1 2 tiles long. \bsing this pattern,\5 what is the total number of tiles D\5an will use to cov\5er the floor? 28 A racing car used 2\555 litres of fuel to comp\5lete a 340 km race. On average, how ma\5ny litres of fuel did the\5 car use every 100 km? litres per 100 km 29 Amy recorded a set of scores for a netball t\5eam. 17, 22, 26, 26, 30, \530, 30, 30, 32, 39, 41,\5 42 She then included \5an extra score of 15. Which of these val\5ues would increase? mean modemedian range Write your answer in the box. Shade one bubble.

13 © MCEECDYA 2010 YEAR 9 NUMeraCy (CalCUlatOr allOWe\b) 30 When this car move\5s forward by 180 cm, each wheel doe\5s one full turn. What is the diamet\5er of the wheels t\5o the nearest centimetre? cm 31 A model of how a sh\5ell grows can be made us\5ing enlarged copies of the same\5 triangle. Here is a model. x° 53° What is the value \5of x? 32 The surface area of a box is giv\5en by the rule: total surface area = 2 × [(width × height) + (width × length) + (height × length)] The box shown has \5a total surface ar\5ea of 768 square centimetres. 12  cm 20  cm height What is the height of the box? centimetres StOP – eN\b OF teSt Write your answer in the box.