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7 year 2 015 Use 2B or HB pencil only © australian Curriculum, assessment and reporting authority, 2015 SeSSION 2 NUMeraCy NON- CaLCU La TOr 40 min Time available for students to complete test: 40 minutes

2 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N247 – Y5 1 This shape is cut out of cardboard and glued to make a container. Which container would it make? . N15N042 2 Start line 1 m 2 m 3 m4 m Mike jumped from the start line and landed where the flag is. Which of these is closest to the length of his jump? 2 3 m 2  1 3 m 2  1 2 m 3  2 3 m © ACARA 2015

3 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N146 – 5 3 3 × ? = 57 What number does ? represent? 19 2954171 N15N157 –5 4 This is a view of a solid made by stacking 18 identical cubes. How many cubes are completely hidden in this view? 13 12 76 N15N152 – Y5 5 Bella had $10. She bought 5 sketchbooks from a shop. Each sketchbook costs $1.10. How much change should she get? $4.50 $5$5.50 $8.90 N15N261 6 This table shows a pattern. The top and bottom numbers are connected by a rule. top number 1234…… ? Bottom number 36912…… 27 What is the top number when the bottom number is 27? 5 915 19 © ACARA 2015

4 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N023 – 7 7 Which of these angles is closest in size to a right angle? A BCD N13NBB72 8 There were 4000 people at a football match. Three-quarters of them were under cover. How many people were not under cover? N15N187 – 9 9 This spinner is spun twice. The two numbers that the arrow lands on are added. 1 2 5 4 6 3 Which of these totals is most likely to occur? 7 10 1112 © ACARA 2015 A B C D

5 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N160 - 9 10 Some tiles are missing from this pattern of tiles. When complete the pattern has two lines of symmetry. Which of these could be the missing part of the pattern? N15N049 – 9 11 Brad was trying to draw a net of a rectangular prism. A B C D He drew one face of the prism incorrectly. Which face did he draw incorrectly? A BC D N15N248 - 5 12 Allen’s house was built in 1936. Approximately how many years old is Allen’s house? 60 708090 © ACARA 2015

6 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N046 13 Some students were given the choice of four movies to watch. They each voted for one movie. 5 students voted for Goal. 4 students voted for Pears in a Pod. 4 students voted for The Courageous . The rest voted for The Rise of the Chickens. Goal Pears in a Pod The Courageous The Rise of the Chickens How many students voted for The Rise of the Chickens? 7 8910 N15N041 14 James wants to buy a jacket marked at $180. He is given a discount of 10%. What is the value of the discount? $1.80 $10 $18 $170 N15N266 - 9 15 What is the value of ? 0 1234 © ACARA 2015 × = + + = + 6

7 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N056 16 Sienna is using a 250-millilitre cup to fill a 3-litre container. Which one of these expressions shows how many full cups she will need? 3 × 250 3000 ÷ 250 3000 × 250 250 ÷ 3 N15N030 - 5 17 Mary is facing north-west. She makes a quarter turn to her left. Which direction is she facing after the turn? west northnorth-east south-west N15N265 18 This table shows the prices of different kinds of fruit in a market. Fruitapricots grapesbananasapples Price 90 cents for 250 grams $3.00 for 750 grams$3.80 for 1 kilogram$1.70 for 500 grams Which of these is the most expensive fruit per kilogram? apricots grapes bananas apples N15N153 - 5 19 Joe’s toy car is 5 cm long. His dad’s car is 4 m long. How many times as long as Joe ’s toy car is his dad’s car? 1 20 80125 200 © ACARA 2015

8 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N12NBC035 20 Jane is repeating 4 symbols along a border as shown. Altogether there are 38 squares to fill along the border. Which symbol will Jane put in the 38th square? N15N165 - 9 21 Sanjeet put two identical posters on his wall as shown. 7 m 0.75 m 0.75 md 1.5 m 1.5 m ANNUAL SCHOOLFUN RUN MARCH 2015 ANNUAL SCHOOLFUN RUN MARCH 2015 What is the distance d from the edge of each poster to the middle of the wall? 1.25 m 1.5 m2.25 m 2 m4.75 m N15N167 – 9 22 Stuart made a phone call that lasted 59 minutes. The cost per minute for the phone call was $0.89. Stuart estimated that the total cost of the phone call was about $54. Stuart’s estimate was less than the actual cost. equal to the actual cost. more than the actual cost. © ACARA 2015 middle of the wall

9 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N191 23 Sasha shared 20 muesli bars with three friends. She gave Hannah two bars fewer than Noah. She gave Kyle three bars more than Hannah. Sasha ended up having twice as many bars as Hannah. How many muesli bars did Sasha have in the end? N15N159 – Y5 24 Carla made a letter ‘C’ out of 3 rectangular wooden pieces as shown. 20 cm 5 cm 16 cm 8 cm 1 7 cm What is the perimeter of this wooden letter in centimetres? 66 7286103 106 N15N274 25 Graeme spent $45 at a post office. He bought a special set of stamps for $16. With the remaining money he bought 10 stamps at $1.50 each and some stamps at 70 cents each. How many 70-cent stamps did Graeme buy? © ACARA 2015

10 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N168 - 9 26 A standard six-sided dice is rolled once. What is the probability that the number on the top face is a factor of 6\ ? 1 6 1 3  1 2 2 3  N15N252 - 5 27 Zoe was making a scale drawing of a 40-storey building on grid paper. The height of each storey of the building was the same. What was the height of each storey of this building?  metres N12NNC049 28 Which two odd numbers, greater than 1, have a product of 143?  and   © ACARA 2015

11 YEAR 7 NUMERACY (NON-CAlCUlAtOR) N15N162 29 Ann arrived at Wickham Station at 11:00 and caught the next train to Pemberley Station. Station train A train B train C train D Bennet 10 : 53 11 : 07 11 : 12 — Wickham 10 : 59 11 : 13 —11 : 31 Bingley 11 : 14 —11 : 33 11 : 46 Rosling 11 : 19 11 : 30 —11 : 51 Pemberley 11 : 29 —11 : 48 12 : 01 At what time did she arrive at Pemberley Station? 11 :  29 11 : 3011 : 4812 : 01 N15N047 30 Which of these is not equal to 36 × 20? 36 × 10 × 2 360 × 230 × 20 + 6 × 20 30 + 6 × 20 N15N073 31 Ali had a solid prism with eight faces. Ali cut the prism in half to make two smaller identical prisms. What is the least number of faces that one of the smaller prisms could h\ ave? N15N189 32 Wesley has three times more coloured pencils than lead pencils and five times more coloured pencils than pens. He has 12 more lead pencils than pens. How many pens does Wesley have? StOP – END OF t ESt © ACARA 2015