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© Curriculum Corporation, on behalf of the Ministerial Council on Education, Employment, Training and Youth Affairs, 2009. Use 2B or HB pencil only 9 year 2009 0:40 S eSSION 2 Time available for students to complete test: 40 minutes NUMera Cy NON- Cal CU lat Or nAT ion Al A ssEss ME nT progr AM li TE rACY A nd nUMErACY

© MCEETYA 2009 2 YEAr 9 NUMera Cy 1The object below is made from 9 cubes. To p vie w Which one of these shows the top view? 2 The probability of rolling a 3 on a standard six-sided die is 1 2 1 3 1 6 3 4 3 This pole measures the depth of water in a river. Approximately how deep is the river? 15 centimetres 1.05 metres 1.5 metres 15 metres 2 3 m Shade one bubble.

© MCEETYA 2009 3 YEAr 9 NUMera Cy 4Steven cuts his birthday cake into 8 equal slices. He eats 25 % of the cake in whole slices. How many slices of cake are left? 5 A number is multiplied by itself and then 9 is added. The answer is 13. What is the number? 6The area of this shaded rectangle is 98 cm 2. ? What is the length of the shaded rectangle? cm 7 Which is the best estimate for 16 × 34 + 68 – 91 ? 10 × 30 + 60 – 90 10 × 30 + 70 – 90 20 × 30 + 70 – 90 20 × 40 + 70 – 100 Shade one bubble. Write your answer in the box.

© MCEETYA 2009 4 YEAr 9 NUMera Cy 8 Elly drew this floor plan of her school building. a b c d Which expression gives the floor area of Elly’s school building? (a × b) + (c × d) (a × b) × (c × d)(a + b) + (c + d)(a + b) × (c + d) 9Kevin made these 2 objects by gluing cubes together face-to-face. He then joined the 2 objects together. Which object below could not be made using Kevin’s 2 objects? 10 A tin contains 15 green, 10 red, 7 black and 18 white jelly beans. Without looking, Jen takes one jelly bean from the tin. What is the chance that the jelly bean is red? 1 2 1 3 1 4 1 5 Shade one bubble.

© MCEETYA 2009 5 YEAr 9 NUMera Cy 11 √200 is between 10 and 12 12 and 1414 and 2050 and 150 12A vertical cut is made with a knife all the way through the centre of a cylindrical cheese, as shown. Which shows the shape of the cross-section made by the cut? 13 Which expression is equivalent to 2 – 3t ? 3 – 2t 3t – 2–2 + 3t –3t + 2 Shade one bubble.

© MCEETYA 2009 6 YEAr 9 NUMera Cy 14Helen has 24 red apples and 12 green apples. What fraction of the apples are green? 1 2 1 3 1 4 1 12 15 Voula spins the arrow 100 times. Which table is most likely to show her results? Number of spins Numberof spins Numberof spins Numberof spins 16 Which expression is equal to 53 × 25 2 ? 5 × 3 × 25 × 2 5 × 5 × 5 × 5 × 5 5 × 5 × 5 × 25 × 5 5 × 5 × 5 × 5 × 5 × 5 × 5 Shade one bubble.

© MCEETYA 2009 7 YEAr 9 NUMera Cy 17A copier prints 1200 leaflets. One-third of the leaflets are on yellow paper and the rest are on blue paper. There are smudges on 5% of the blue leaflets. How many blue leaflets have smudges? 40 60400 800 18The coordinates of point A are (4, 8). A (4, 8) O BC AB is parallel to the y axis. If AB = 3, BC = 4 and AC = 5, what are the coordinates of point C? (8, 5) (5, 8)(1, 8)(8, 1) 19Here is a set of 8 scores. 2, 4, 4, 9, 9, 12, 12, 60 What will change if score 60 is removed from the set? mean only mean and median mean and mode mean and range Shade one bubble.

© MCEETYA 2009 8 YEAr 9 NUMera Cy 20Two numbers added together equal 1. The two numbers multiplied together equal –30. What are the two numbers? and 21The area of the rectangle in this diagram below is 10 cm 2. ABC D What is the area of the trapezium ABCD? cm 2 22 When m = 2 and n = –2 , what is the value of m 2 + n 2 ? m 2 + n 2 = 23 ABCD is a rectangle. A line is drawn through the point where the two diagonals intersect. Two triangles are then shaded. A D B C What fraction of the rectangle is shaded? Write your answer in the box. Write your answers in the boxes.

© MCEETYA 2009 9 YEAr 9 NUMera Cy 24The diameter of Jupiter is approximately 3 times the diameter of Neptune, 12 times the diameter of Venus and 21 times the diameter of Mars. About how many times larger is the diameter of Neptune than the diameter of Mars? 7 18 2463 25The petrol tank in Gina’s car is empty. She buys $72 worth of petrol at $1.50 per litre. Her car uses 8 litres of petrol per 100 km travelled. Which calculation gives the number of kilometres travelled before the tank is empty again? 72 ÷ 1.50 × 8 ÷ 100 72 ÷ 1.50 ÷ 8 × 100 72 × 1.50 ÷ 8 ÷ 100 72 × 1.50 × 8 × 100 26Which of these points lies on the straight line joining the points (4, \ 4) and (20, 12)? (5, 5) (6, 6)(10, 7) (14, 8) Shade one bubble.

© MCEETYA 2009 10 YEAr 9 NUMera Cy 27A ticket costs $ 75. A fee of 10 % is added to the price. Which calculation will give the new price? 75 + 10 75 + 0.1 75 × 0.175 × 1.1 28A coin is tossed 3 times. There are 8 possible outcomes. What is the probability of getting 2 tails and 1 head in any order? 29The entire top of a square table is tiled with triangular tiles like this one. Altogether, how many triangular tiles are used? Shade one bubble. Write your answer in the box.

© MCEETYA 2009 11 YEAr 9 NUMera Cy 302(2x – 3) + 2 + ? = 7x – 4 What term makes this equation true for all values of x ? 31Which number has the largest value? 1 6 √0.04 0.18 (0.4) 2 eNd Of teSt Shade one bubble. Write your answer in the box.