[PDF] NAPLAN 2015 Final Test Numeracy Year 9 no calculator.pdf | Plain Text

9 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 9 NUMERACY (NON-CAlCUlAtOR) N15N261 1 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 N15N048 – 7 2 Luca had a $10 voucher to spend on games for his smartphone. He bought three games at $1.99 each. Which expression shows how much he has left to spend? $10 – $1.99 $10 – (3 × $1.99) $10 – $1.99 + $1.99 + $1.99 3 × ($10 – $1.99) N15N187 – 7 3 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

3 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N15N160 - 7 4 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? N15N080 5 This graph shows the history of the men’s high jump world record. Height (m) 2.50 2.45 2.40 2.35 2.30 2.25 Year 1960 1965197019751980 19851990 1995 By about how many centimetres did the world record increase between 1970 and 1985? 9 11 1517 © ACARA 2015

4 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N15N049 – 7 6 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 N15N280 7 5 × 2 3 = ? 30 401151000 N15N266 - 7 8 What is the value of ? 0 1234 © ACARA 2015 × = + + = + 6

5 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N15N076 9 Ann was drawing a rectangular prism on an isometric grid. P Q R S T U Which pair of points should she join with a line? P and R P and SQ and U Q and T N15N088 10 What is the best estimate for the capacity of this mug? 0.30 litres 3.0 litres90 millilitres 900 millilitres © ACARA 2015

6 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N15N102 11 Distance T im e Which of the following stories best fits the graph above? Melanie drove north-east, did some shopping and drove back home. Melanie walked uphill, had a rest and ran downhill. Melanie ran to the park, rested for a while and then walked home. Melanie walked to the beach, had a swim and then ran back home. N15N085 12 P Q R S Which of these properties makes PQRS a trapezium? Line PS is perpendicular to line PQ. Line QR is parallel to line SR. Line PR is perpendicular to line SQ. Line PQ is parallel to line SR. N15N084 13 Which expression is equal to 5x – 2 + 3x + 6? 12x 8x + 4 8x – 8 3x + 9 © ACARA 2015

7 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N15N282 14 Ben and Lee were playing a game. They both started with zero points. Ben’s final score was 240 points. Lee’s final score was – 60. How many more points did Ben have than Lee? – 300 – 180 180 300 N15N165 - 7 15 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 – 7 16 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

8 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N15N075 17 Which of these is the closest to 0? 1.001 0.01– 0.1 – 0.001 N15N279 18 Rani draws and labels 3 points, as shown below. She wants to add another point so that all 4 points can be joined to make a parallelogram. Which of these is a possible coordinate for the 4th point? ( – 1 , 1 ) ( 1 , 4 ) ( 1 , – 1 ) (4, 1) N15N270 19 Nick works in a factory packing chocolates into boxes. He packs one box at a time. Each box contains 5 milk chocolates, 3 dark chocolates and 2 white chocolates. Every hour Nick packs a total of 300 chocolates. How many dark chocolates does he pack every hour? © ACARA 2015

9 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N15N168 - 7 20 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  N15N212 21 Simplify:   23 × 5 2 × 34 3 × 3 3 × 5 × 2 2  10 4 3   1 1 3  N15N093 22 Sandra is using a computer program to draw shapes. The picture shows three commands and the resulting shapes. Which shape would be drawn by this command: ellipse (1, 4, 60)   ? © ACARA 2015

10 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N14N269 23 It takes 5 hours for 4 people to deliver leaflets to 1000 homes. At the same rate, how many hours should it take for 5 people to deliver leaflets to 1500 homes?  hours N15N205 24 Tilly made a number pattern using this rule: next number = previous number  ×   –  ( and are whole numbers ) Her number pattern is: 2, 1, –1, –5, –13, … What is the next number in Tilly ’s pattern? –29 –26–25–21 N15N203 25 In a group of Year 9 students, the ratio of boys to girls is 9 : 7. There are 4 more boys than girls in this group. How many students are in this group altogether? 16 182032 © ACARA 2015

11 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N15N277 26 x 2  =   3 11 What is the value of x? 3 22 6 22 5 11 6 11 N15N141 27 A regular hexagon has a perimeter of 12 cm. It is then cut in half. What is the perimeter of each half of the hexagon? 5 cm 6 cm8 cm9 cm10 cm N15N215 28 Lina drew a line with equation y = 3 – x on a grid. She then drew another line on the same grid with this equation y = x – 1. What are the coordinates of the intersection point of these two lines? (–1, 2) (1, 2)(2, –1) (2, 1) © ACARA 2015

12 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N12NRP111 29 A square pool for small children has sides which are 3 metres long. One cubic metre can hold 1000 litres of water. 3 metres How many litres of water will fill the pool to a depth of 50 centimetres ?  litres N13NJ8043 30 The area of a rectangle is 60 mm 2. The side lengths are doubled to make a new rectangle. What is the area of the new rectangle? 30 mm 2 120 mm 2 240 mm 2 360 mm 2 N15N225 31 Holly created a shape using various regular polygons. She began by using a triangle with a side length of 1 cm. She then added regular polygons, each with one more side than the previous one. She continued this way until a 10-sided polygon is added to her shape. What will the perimeter of her whole shape be?  cm © ACARA 2015

13 YEAR 9 NUMERACY (NON-CAlCUlAtOR) N13N8P025 32 Kumi is 3 4 the height of Zac. Sue is 2 3 the height of Zac. Kumi is 15 centimetres taller than Sue. How tall is Zac in centimetres?  centimetres S tOP – ENd O f tESt © ACARA 2015