[PDF] NAPLAN 2012 Final Test Numeracy Year 9 calculator.pdf | Plain Text

9 year 2 012 Use 2B or HB pencil only © Australian Curriculum, Assessment and Reporting Authority, 2012 0:40 Time available for students to complete test: 40 minutes SeSSION 1 NUMera Cy C al CU lat Or all OWeD

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3 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 3 PraCtICe QUeStIONS P1 50, 100, 150, 200, 250, ? Which number comes next in this sequence? 251 260300 350 P2 Write a number in the box to make this number sentence correct. 6 + 4 =

4 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 1 An airline bought 6 new planes for a total cost of $721.5 million. Each plane cost the same amount. How much did each plane cost? $120.25 million $360.75 million $715.5 million $4329 million 2 The map shows the different directions four cars are travelling. A B C D North Which car is travelling south-east? Car A Car BCar C Car D 3 Martina asked students in her class where they were born. She used the data to draw this graph. Region of birth Australasia Asia Europe Africa Other Where were about a quarter of the students born? Australasia AsiaEurope Africa

5 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 4 These are three pictures of the same sculpture. The sculpture is in the shape of a rectangle and a circle. a rectangle and a sphere. a prism and a circle. a prism and a sphere. 5 Lee wants to bake 7 cakes. Each cake needs 4 eggs. He has no eggs so he goes to the shop. The shop sells eggs in cartons of 6. How many cartons of eggs does Lee need? 2 457 6 Every day Jim drives 20 kilometres to work. On Monday his average speed was 80 kilometres per hour. On Tuesday his average speed was only 20 kilometres per hour. How many more minutes did it take Jim to drive to work on Tuesday than Monday? 15 456075

6 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 7 Which of these numbers is closest in value to 221 272 ? 0.5 0.60.70.81.2 8 Which arrow is pointing to the approximate position of 800 on a number line? 20 40 3050 80100 300 500 9 Which shape has 2 5 shaded? 10 This flowchart shows the rules for a number game. Input number Output number Is the number odd? yes no Add 3 to the number Divide the number by 2 The output number is 16. What are two possible values for the input number? 8 and 13 8 and 1913 and 32 19 and 32

7 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 11 The opening hours of a post office are shown on this sign. How many hours each week is the post office open? 60 708498 12 Alicia has a bag of jelly beans. 30% of the jelly beans are red. She takes a blue jelly bean from the bag and eats it. Without looking, she takes another jelly bean from the bag. What is the chance that this jelly bean is red? less than 30% equal to 30% greater than 30% 13 Tiles of two shapes are used to cover a floor. The basic shapes used in designing the tiles are identical rectangles and semicircles. Which of the following statements is true about these two tile shapes? They have the same area and the same perimeter. They have different areas but the same perimeter. They have the same area but different perimeters. They have different areas and different perimeters.

8 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 14 Mike sells cars. His weekly salary, S dollars, is calculated using this rule: S = 500 + 0.02V where V is the total value in dollars of the cars he sells that week. Last week, the total value of the cars Mike sold was $120 000. What was Mike’s salary last week? $740 $1205 $2900$6000$24 000 15 Which of the following equations is not true for all positive values of y? y2 = y × 2 0 = y – y y + y = 2 × y 1 = y ÷ y 16 Tim takes 72 paces to walk across the school yard. His pace is 90 centimetres long. Lara’s pace is 80 centimetres long. How many paces does Lara take to walk across the school yard? 62 648182100 17 Sarah is painting a wall using three colours. She paints 1 3 of the wall blue, 1 4 of the wall green and the rest yellow. What fraction of the wall does she paint yellow? 10 12 5 12 5 7 7 12 2 7

9 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 18 Sally collected some data from her class. She used the data to draw this graph on her computer. She accidentally removed all the labels. Which kind of data could Sally be showing on her graph? Horizontal axis Vertical axis Favourite colourNumber of students Hand spanHeight GenderHeight Shoe sizeNumber of students 19 Nina is making a line of tiles on a wall. The tiles come in 6 designs and she always puts the tiles in the same or\ der. The picture shows the start of her line of tiles. Each tile costs $3.50 and she uses $112 worth of tiles. Which of these is the last tile in her line of tiles? 20 200 = 1000 − n 4 What is the value of n ? 50 200 80032004800

10 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 21 The sum of three angles around a point is 360°. Two of these angles are acute angles. What must the third angle be? an acute angle an obtuse angle a straight angle a reflex angle 22 Starting at point P, Dave walks around this swimming pool. He starts by heading north. In which direction is he heading when he is 2 3 of the distance around? west south-west southsouth-east 23 Jason uses these formulas to calculate how the money in his bank account\ grows. Year 1 = $1000, Year 2 = Year 1 + Year 1 10, Year 3 = Year 2 + Year 2 10, Year 4 = Year 3 + Year 3 10 What is the value of Year 4 ? $ 24 Paul and Gary both bought a quantity of the same type of olives at a sho\ p. Gary bought half the quantity of olives that Paul bought. The total cost of Gary’s and Paul’s olives was $14.85. How much did Gary’s olives cost? $ North P

11 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 25 Erica used a computer to make a pattern of triangles. Number of black triangles 13927 81243… Number of white triangles 01413 40121… Erica continued the pattern until the shape had 6561 black triangles. How many white triangles did the shape have? 26 Steve had a rectangular piece of paper that was 90 cm long and 60 cm wide. He cut the paper into right-angled triangles the same size and shape as \ this one. 12 cm 6 cm There are no pieces of the paper left over. How many of these triangles did he cut the paper into? 50 75100 150 27 A gardener plants 50 seeds from the same packet into three pots. This table shows the number of seeds planted and the percentage of seeds that sprouted. Pot label Number of seeds planted Percentage that sprouted A 1275% B 2050% C 1850% What percentage of the seeds from the packet sprouted? %

12 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 28 Shauna plotted five points on this square grid. J K L Point K is 28 millimetres from point L. Shauna adds a sixth point, M, so that the arrangement of points has one line of symmetry. How far is point M from point J? millimetres 29 A teacher is showing a picture on a screen. The picture is 12 cm by 8 cm. The screen is 2.4 m by 2 m. The teacher enlarges the image on the screen so it is as big as possible without distorting its proportions. What are the dimensions (in cm) of the enlarged picture? cm by cm 30 When 4 people meet and each shakes hands once with everybody else there is a total of 6 separate handshakes. This formula gives the total number of handshakes (H) when a group of N people meet. H = 0.5N(N – 1) For what value of N does H = 300?

13 © ACARA 2012 YEAR 9 NUMeraCy (CalCUlatOr allOWeD) 31 This is the net of a cube. The cube has a volume of 343 cubic millimetres. What is the length of the net in millimetres? millimetres 32 The diagram shows two views of a prism on a grid. Each square on the grid has an area of one square centimetre. The vertical edges of the prism are 3 centimetres high. What is the volume of the prism in cubic centimetres? cubic centimetres St OP – eND OF teSt Do not turn this page. length