[PDF] NAPLAN 2012 Final Test Numeracy Year 9 no 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 2 NUMera Cy NON- Cal CU lat Or

2 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 1 The picture shows five stacks of $2 coins. How much money is there in total? $10 $16$20$22 2 Helen paid $1.19 for 7 prints at the camera shop. How much did she pay for each print? $0.11 $0.17$1.12 $1.26 3 Luke walks to school every day. The distance from his home to school is 1.5 kilometres. Luke leaves home and walks 500 metres towards school. What fraction of the distance to school has he walked? 1 5 1 4 1 3 1 2 4 Sharon bought 3 fruit buns and 4 bread rolls at the bakery. The buns cost 80 cents each. The rolls cost 40 cents each. How much did Sharon pay? $1.20 $3.60$4.00$4.80$8.40

3 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 5 Joan is making a pattern with sticks. She continues adding sticks as sho\ wn. Step 1 Step 2 Step 3 Step 6 … ? 6 sticks11 sticks 16 sticks… ? sticks How many sticks will Joan need to make Step 6 of her pattern? 30 3132 33 6 Which of these designs looks identical after a quarter turn? 7 Which expression is equal to 5b 3 ? 8 × b 15 × b 5 × b × b × b 5 + b + b + b 5 × 5 × 5 × b × b × b

4 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 8 This graph shows the price per tonne of crops grown in a country. 800 700 600 500 400 300 200 100 0 canola wheat barley Crop prices Date (quarters of the year) Price (dollars per tonne) Q1 Q1Q1Q1 Q2 Q2Q2Q2 Q3 Q3Q3Q3 Q4 Q4Q4Q4 2006 200720082009 For several quarters, the price of barley was greater than the price of wheat. In one of those quarters, the price of canola fell below $500 per tonne. Which quarter was this? 2006 Q3 2007 Q1 2007 Q22007 Q3 9 Rita is drawing the net of this box. Where should Rita put this symbol on the net?

5 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 10 Dean uses the same rule to change each into a . 2 4 3 7 7 19 Which of these rules did Dean use? = × 1 + 2 = × 2 + 5 = × 3 – 2 = × 4 – 5 11 Terry bought 7 boxes of pencils. In total this was 84 pencils. Which equation correctly shows n as the average number of pencils in each box? 84 × 7 = n 84 − 7 = n n ÷ 7 = 84 n × 7 = 84 12 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

6 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 13 Joe filled this empty bucket with water from a tap. First the water ran from the tap slowly. Then the water ran quickly until the bucket was nearly full. As the water reached the top of the bucket, he turned the tap off. Which graph best shows how the depth of water in the bucket changed? depth of water time depth of water time depth of water time depth of water time 14 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 cups8 cups 15 Sam leaves home at 10: 35 am to go to a movie. The movie starts at 12 :20 pm. How much time does Sam have before the movie starts? 1 hour and 45 minutes 1 hour and 55 minutes 2 hours and 15 minutes 2 hours and 25 minutes 16 Which one of these is equal to 3 5 7 ? 8 ÷ 7 15 ÷ 7 21 ÷ 7 26 ÷ 735 ÷ 7

7 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 17 Which of these multiplications gives the greatest value? 0.031 × 100 0.132 × 100.312 × 0.10.0003 × 1000 18 35 × ? = 14 Which fraction is ? equal to? 2 5 5 7 2 7 1 5 19 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? 20 Which one of these shapes has diagonals that cross at right-angles?

8 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 21 How many edges does this prism have? 7 12 151921 22 This table shows the cost of planting a crop in paddocks of different areas. area of paddock (hectares) 20 406080100 cost of planting crop ($) 1600 3200480064008000 Complete the rule so that it agrees with the values in the table. cost of planting crop = × area of paddock 23 A positive number n is multiplied by 4, then 20 is added. Which of the following operations would give the same result? Adding 20 to n, then multiplying by 4. Adding 4 to n, then multiplying by 20. Adding 4 to n, then multiplying by 5. Adding 5 to n, then multiplying by 4. 24 In a school library there are 1000 books. 450 of the books are fiction and the rest are non-fiction. What is the ratio of fiction to non-fiction books in the library? 9 : 11 9 : 109 : 209 : 13

9 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 25 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 26 This table shows Jack’s results for a two-day canoe race. time (hours:minutes:seconds) Day 1 7:57:54 Day 2 6:59:56 What was Jack’s total time for the two-day race? 13: 56: 50 13 :116:110 14 :17 :1014 : 57 : 50 27 Sarah bought two full bags of sand. Both bags had the same amount of sand in them. After she used 1 4 of one bag of sand, she had a total of 35 kilograms of sand left. How many kilograms of sand were in one full bag? kilograms 28 Write the answer to this division in the box. 12.24 ÷ 0.12 =

10 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 29 This diagram shows a common tiling pattern that uses squares and octagons. The dotted lines show that the area of each octagon is a multiple of the area of each square. The area of each octagon is 175 cm 2. What is the side length of each square? cm 30 Jerry made this paper fan. base a He used 10 identical isosceles triangles. When the fan is open, its base forms a straight line. How many degrees is the angle marked a ? degrees

11 © ACARA 2012 YEAR 9 NUMeraCy (NON-CalCUlat Or) 31 Kyle has some wooden blocks the same as the one shown. 3 cm 2 cm1 cm He stacks them face to face to make a solid cube. What is the smallest possible volume of the cube? cubic centimetres 32 This symbol is made from two circles and two lines. The circles have the same centre, C. 60° P A B Q C The radius of the small circle is 3 4 the radius of the large circle. The angle between the two lines is 60°. The arc AB is 16 mm. What is the length of the arc PQ in millimetres? mm St OP – eND Of teSt