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9 year 2 015 Use 2B or HB pencil only © australian Curriculum, assessment and reporting authority, 2015 SeSSION 1 NUMeraCy Ca LCU La TO r a LLOWeD 40 min Time available for students to complete test: 40 minutes

N15N059 – 9CA 1 Brian made this 3D object using 48 small cubes. Which of these has a volume half that of Brian’s object? N15N194 2 Which of these can be measured in litres?area massvolume length N15N161 – Y9r02 3 This is Donna’s left shoe. Donna’s right shoe is a mirror image of her left shoe. Which of these is Donna’s right shoe? 2 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N086 4 y = 2x 2 – 8 What is the value of y when x = 2.2? – 6.32 0.81.6811.36 N15N083 5 The speed of sound at sea level is 340 metres per second. What is the speed of sound in metres per minute? 34 000 20 400 5.73.4 N15N284 6 What is the value of   63.4 + 28.24 9.2 × 1.6  rounded to one decimal place? 6.2 15.9 24.568.3 N15N263 7 A cardboard box is in the shape of a cube. It is filled with identical small cubes of the size shown. Which of these is the closest estimate for the number of cubes that would fill the box? 25 40200 800 3 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N278 8 One billion is one thousand million. Which of the following is 70 billion?7 × 10 13 7 × 10 10 7 × 10 7 7 × 10 4 N15N058 – 7CA 9 There are 12 apples and 7 pears in a bowl. About what percentage of the fruit in the bowl is pears? 7% 37% 58%63% N15N260 – 7 10 Which one of these has the same value as 20 2 ? 40 2 ÷ 4 2 × 2 × 5 × 2 × 5 4 × 5 2 2 × 10 × 10 N15N199 – 7 11 A concert starts at 10:28 am and runs for 124 minutes. What time does it finish? 11:52 am 11:52 pm 12:32 am12:32 pm N15N177 - Y7 12 The diagram shows an isosceles triangle. What is the size of the angle ABC ? 38.5° 45°51.5° 60° 4 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N268 13 The petrol gauge in Lyn’s car showed that she had used half of the petrol in the tank. She then spent $42 filling up her tank at a cost of $1.35 per litre. Approximately how much petrol can Lyn’s petrol tank hold when it is full?31 litres 57 litres 62 litres84 litres N15N259 14 Teagan and Caleb collected money for charity over a month. If Caleb had collected $10 more, he would have collected exactly twice as much as Teagan. Which row of the table shows how much money they could have collected? teagan Caleb $15 $30 $20 $50 $25 $40 $30 $80 N15N039 - 7 15 Continent Number of cars produced Africa 636 519 Asia/Oceania 45 800 878 Europe 19 726 405 North America 21 136 313 South America 4 288 654 How many more cars were produced in North and South America than in Europe and Africa? 5 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N198 16 Mia drew a shape. It had only one pair of parallel sides and only one internal reflex angle. Which of these could be Mia ’s shape? N15N176 – 7 17 Simon is facing west. He turns 135° clockwise. Simon then turns anticlockwise until he faces east. By how many degrees did Simon turn anticlockwise? 45° 180° 225°315° N15N283 18 The equation 2y + 1 = x is rearranged to have y as the subject. Which of these correctly gives y as the subject? y = x – 12 y = x + 1 2 y = 2x – 1 y = 2x + 1 N15N099 19 Which of the following has the same value as 13 –13 ? –13 –13 13 x (–13) 1 –13 13 1 13 13 N15N091 20 The rule for calculating the price to deliver a parcel of mass m kg is price ($) = 7 + 3.5m. What is the mass, in kg, of a parcel with a delivery price of $70? 13 182227252 6 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N185 – 7 21 David drew this diagram of a frog’s skeleton. The actual length of the frog’s body is 100 millimetres. What is the actual width of the frog ’s head?  millimetres N15N209 22 This sand timer contains 595 g of sand. It takes half an hour for all of the sand to flow through the timer. Each millilitre of sand weighs 1.6 g. How many millilitres of sand flow through the timer per minute? 12.4 19.831.7743.8 7 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N184 – 7 23 Sarah was collecting money for charity. By Sunday night she had collected 55% of her target amount. On Monday she collected another $70, which meant she had now collected 75% of her target amount. What was Sarah’s target amount? $   N15N105 24 Kim uses sticks to make a pattern of squares. Number of squares 1 3 6 10 15 Number of sticks 4 10 18 28 40 When a shape consists of 28 squares, how many sticks will the shape have? N15N108 25 The total length of all edges of a cube is 156 cm. What is the volume of the cube?  cm 3 8 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N094 26 Which statement is always true? The opposite angles of a kite are equal in size. The opposite sides of a trapezium are equal in length. The diagonals of a parallelogram are equal in length. The angles formed by the intersection of the diagonals of a rhombus are equal in size. N15N211 27 A new power drill was on sale with 15% discount. As a regular customer, Peter received a further 10% on the already discounted price. What was the overall percentage discount Peter received?1.5% 12.5% 16.5%23.5% 25% N15N269 28 The edges of Greg’s swimming pool form a 10 m × 4 m rectangle. He tiled around the edges of his pool using one row of 400 mm × 400 mm tiles. Greg put one star tile at each corner of the pool as shown. 10 m not to scale 4 m He used an equal number of black and white tiles to finish off the edges. The table shows the price of each kind of tile. Tile Price $15 $10 $7 What was the total cost of the tiles he used? $   9 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N206 29 x y 0 157.5 Which of these equations represents the line in the graph? y = 15 – 2x y = 15 + 7.5x y = 15 – 7.5x y = 15 + 2x N15N190 – 7 30 In the diagram AB is a straight line. x° A B What is the size of the angle marked x° ?  degrees 10 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015

N15N222 31 The product of three different whole numbers is 60. What is the largest possible sum of the three numbers? N15N104 32 This shape was formed by removing a sector from a circle of radius 9 cm. The area of the sector was 1 6 of the area of the circle. What is the perimeter of the shape, to the nearest centimetre?  cm S to P – END of t ESt Do not turn this page. 11 YEAR 9 NUMERACY (CAlCUlA toR AlloWED) © ACARA 2015