0:40. year. Use 2B or HB pencil only SESSION 1. Time available for students to complete test: 40 minutes

Transcription

1 NUMERACY calculator ALLOWED year :40 SESSION 1 Time available for students to complete test: 40 minutes Use 2B or HB pencil only Australian Curriculum, Assessment and Reporting Authority, 2012

2 Do not write on this page.

3 YEAR 7 NUMERACY (calculator allowed) PRACTICE QUESTIONS P1 50, 100, 150, 200, 250,? Which number comes next in this sequence? P2 Write a number in the box to make this number sentence correct = 3

4 YEAR 7 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? $ million $ million $715.5 million $4329 million 2 The pictures show a thermometer at two different times. before after By how much has the temperature risen? 5 C 7 C 8 C 15 C 3 The diagram shows the length and width of a large TV screen cm What is the area of the TV screen? 49.5 cm 276 square centimetres square centimetres square centimetres square centimetres 4

5 YEAR 7 NUMERACY (calculator allowed) 4 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 Asia Europe Africa 5 The height of this stack of DVDs is mm. Each DVD has a thickness of 1.2 mm. How many DVDs are in the stack? Casey had tests to check her vitamin and calcium levels. The table shows her test results. Test Normal range Casey s result vitamin A 30 to vitamin C 0.4 to calcium 8.2 to For which tests were Casey s results within the normal range? vitamin A, vitamin C and calcium vitamin A and vitamin C only vitamin A and calcium only vitamin C and calcium only 5

6 YEAR 7 NUMERACY (calculator allowed) 7 Jack saw this graph in a newspaper. The key had been omitted from the graph. Australian Senate 2009 ALP Coalition Greens Other The total number of senators in 2009 was 76. How many senators does represent in the graph? 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. 6

7 YEAR 7 NUMERACY (calculator allowed) 9 During a single leap, a dancer made 3 full rotations of his body. By how many degrees did the dancer rotate his body in this leap? Which number is missing from this number sentence? ( )? = 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? This flowchart shows the rules for a number game. Input number The output number is 16. Is the number odd? yes no Add 3 to the number Divide the number by 2 What are two possible values for the input number? 8 and 13 8 and and and 32 Output number 7

8 YEAR 7 NUMERACY (calculator allowed) 13 Once a year, Finn shaves his head for charity. He doesn t cut his hair for the rest of the year. This year the mass of the hair he shaved off was 75 grams. On average, about how many grams of hair did he grow per day? 0.2 grams 0.75 grams 1.4 grams 6.3 grams 14 Which of these prisms has exactly six faces? a triangular prism a rectangular prism a pentagonal prism a hexagonal prism 15 The opening hours of a post office are shown on this sign. How many hours each week is the post office open? Lorena is paid the same amount each month. In a year she earns $ How much does she earn in 8 months? $2 500 $3 750 $ $

9 YEAR 7 NUMERACY (calculator allowed) 17 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% 18 At a café, a large milkshake costs 1.5 times as much as a small milkshake. A family bought 2 large milkshakes and 2 small milkshakes. In total the milkshakes cost $12. How much did one small milkshake cost? $2.20 $2.40 $3.00 $4.00 $ Jason drew a shape that had six sides and exactly three lines of symmetry. Which of these could be Jason s shape? 20 The number can be rounded in different ways. Which two ways of rounding give the same answer? rounding to the nearest ten and nearest hundred rounding to the nearest ten and nearest thousand rounding to the nearest hundred and nearest thousand rounding to the nearest thousand and nearest ten thousand 9

10 YEAR 7 NUMERACY (calculator allowed) 21 This is a map of David s school. North KEY Covered walkway Road North entrance Theatre Block A Block B Library Block D Reception Parking 40 m Block C 40 m South entrance David leaves the Theatre. He heads south along the covered walkway. He makes a left turn and walks until he reaches a building. In total he has walked 180 metres. Which building does David walk to? Library Reception Block A Block C = 23 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 order. 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? 10

11 YEAR 7 NUMERACY (calculator allowed) 24 Jake made this number pattern. 2, 3, 6, 15,? This is the rule for the number pattern: next number = previous number where each represents the same value. What is the next number in Jake s pattern? Tania had two identical pieces of plastic pipe. She cut one piece into five equal lengths and the other piece in half. The longer pieces were 9 cm longer than the short pieces, as shown.? 9 cm What is the length of a short piece of pipe? cm 26 Uma and Damien are playing a board game. They have two standard 6-sided dice. The dice are different sizes. Uma needs to roll a total of 3 to win. There are two different ways she can roll a total of 3 as shown. + = 3, and + = 3 Damien has to roll a total of 8 to win. How many different ways can Damien roll a total of 8? 11

12 YEAR 7 NUMERACY (calculator allowed) 27 The cross-section of a cone is the 2D shape you get when you slice it parallel to its base. Which of these is a cross-section of a cone? 28 This stack of bricks has been delivered to a building site. The stack is 7 bricks high, 12 bricks wide and 5 bricks deep. There are two holes in the stack that go from one side to the other. Each hole is 1 brick high and 2 bricks wide. How many bricks are in the stack? 29 Erica used a computer to make a pattern of triangles. Number of black triangles Number of white triangles Erica continued the pattern until the shape had 6561 black triangles. How many white triangles did the shape have? 30 How many degrees does the hour hand of a clock turn in 30 minutes? degrees 12

13 YEAR 7 NUMERACY (calculator allowed) 31 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 32 Barney has a bag of $1 and $2 coins. The total mass of the coins is 71.4 grams. Barney knows that: the mass of a $1 coin is 9 grams and the mass of a $2 coin is 6.6 grams. What is the smallest mass of exactly $3 worth of coins? grams What is the total value of the coins in the bag? $ STOP END OF TEST Do not turn this page. 13

14 NUMERACY NON-calculator year :40 SESSION 2 Time available for students to complete test: 40 minutes Use 2B or HB pencil only Australian Curriculum, Assessment and Reporting Authority, 2012

15 YEAR 7 NUMERACY (non-calculator) 1 The diagram shows a solid 3D object. How many faces does it have? Which number sentence is correct when? is replaced by 5? 15 +? = 10? 6 = 1 10? = =? 3 Steven left for school at 8:45 am. He got to school at 9:06 am. How long did it take Steven to get to school? 15 minutes 21 minutes 51 minutes 61 minutes =?

16 YEAR 7 NUMERACY (non-calculator) 5 Alana made some cookie men. Each cookie man had 2 star lollies and 3 round lollies. Alana used 48 round lollies altogether. How many star lollies did Alana use? Megan tosses a normal coin four times. It lands heads up each time. She tosses it a fifth time. Which of the following is true? It is more likely to land heads up than tails up. It is certain to land tails up. It has an equal chance of landing heads up or tails up. It is more likely to land tails up than heads up. 7 Sandy drew a shape. It has three sides equal in length and only one side that is longer. Which of these could be Sandy s shape? 3

17 YEAR 7 NUMERACY (non-calculator) 8 Lydia starts with a number. She doubles it and then subtracts 4 to get an answer of 8. What number did Lydia start with? Lucas put three identical tiles together at their edges. He drew around the outside to make this new shape. Which of these could have been the shape of his tiles? triangles trapeziums pentagons hexagons 10 Which of these designs looks identical after a quarter turn? 11 Jasim is trying to write down all the prime numbers less than 20. She writes: 2, 3, 5, 7, 11, 13, 19 Which number is missing?

18 YEAR 7 NUMERACY (non-calculator) 12 Dean uses the same rule to change each into a Which of these rules did Dean use? = = = 3 2 = Jane got out of bed at 7:30 am. She went back to bed 13 1 hours later. 2 At what time did she go back to bed? 8:30 pm 9:00 pm 10:30 pm 11:00 pm 14 Dave is making a pattern of tiles. At each stage, tiles are added to edges that don t already have a tile on them as shown. Stage 1 1 tile Stage 2 4 tiles Stage 3 10 tiles Stage 4 19 tiles What is the total number of tiles needed for Stage 5?

19 YEAR 7 NUMERACY (non-calculator) 15 This USB drive can hold 16 gigabytes of data in its memory. At the moment, 12 gigabytes of memory has been used. What percentage of the memory has not been used? 4% 25% 34% 40% 75% 16 A standard six-sided dice is rolled. Which of the following events has a probability less than 1? rolling a number greater than 0 rolling a number less than or equal to 7 rolling a number greater than or equal to 1 rolling a number greater than or equal to 6 17 Kim has an ink stamp that makes this shape. Kim makes each of these designs by stamping the shape four times. Which of Kim s designs has only two lines of symmetry? 6

20 YEAR 7 NUMERACY (non-calculator) 18 To make a syrup, 3 cups of water must be used for every 4 cups of sugar. How many cups of water are needed for 6 cups of sugar? 1.5 cups 4.5 cups 5 cups 8 cups 19 Rosa and Hank both read books with 50 pages. This chart shows the total number of pages they read. Number of pages Wednesday night Tuesday night Monday night 0 Rosa Name Hank How many more pages did Hank read than Rosa on Tuesday night? 20 Nathan lives in Brisbane. Kareena lives in Mumbai. When it is 10:25 am in Brisbane it is 5:55 am in Mumbai on the same day. Kareena rings Nathan when it is 9:00 am in Mumbai. What time is it in Brisbane? 1:00 pm 1:30 pm 2:00 pm 2:30 pm 7

21 YEAR 7 NUMERACY (non-calculator) 21 This is a stamp. It makes a key shape. Which one of these shapes can the stamp make? 22 Cody, Liam and Molly have 60 stickers in total. Cody has half as many stickers as Liam. Molly has three times as many stickers as Cody. How many stickers does Cody have? 23 There are 600 vehicles in a car park. One-third of them are trucks. The rest are cars. One-quarter of the cars are white. How many white cars are in the car park? 8

22 YEAR 7 NUMERACY (non-calculator) 24 Which of these is true for the value of ? less than 170 equal to 170 greater than Bindi made 36 muffins. Some of the muffins were apple and some were pear. Both kinds of muffins looked the same. Tegan took a muffin. She had a 1 in 9 chance of taking a pear muffin. How many apple muffins did Bindi make? 26 Which one of these shapes has diagonals that cross at right-angles? 27 Dale is a beekeeper. The mass of 500 millilitres of Dale s honey is 700 grams. How many litres is 3.5 kilograms of Dale s honey? litres 9

23 YEAR 7 NUMERACY (non-calculator) 28 Sarah bought two full bags of sand. Both bags had the same amount of sand in them. After she used 1 of one bag of sand, she had a total of 35 kilograms of sand left. 4 How many kilograms of sand were in one full bag? kilograms 29 A school office has an ink-jet printer and a laser printer. The ink-jet printer takes 10 seconds to start and then prints 20 pages per minute. The laser printer takes 5 seconds to start and then prints 30 pages per minute Time (seconds) Number of pages ink-jet laser A teacher prints a document that takes 70 seconds to print on the ink-jet printer. How long would it take to print on the laser printer? seconds 10

24 YEAR 7 NUMERACY (non-calculator) 30 This design is made out of squares and equilateral triangles. 12 mm length What is the length of the design? millimetres 31 This triangle was made by cutting a square in half. The perimeter of the triangle is cm. What is the area of the triangle? square centimetres cm STOP end of test 11