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You have 40 minutes to complete this test. You are allowed to use a calculator. You should use a pencil to write your answers or shade in the bubble. If you make a mistake, rub it out thoroughly. First Name Last Name Today’s Date is: The following test has been designed by 3P Learning to prepare students for the National Assessment Program Numeracy Test. This test is to be used for revision purposes only. 3P Learning does not guarantee that the format of this test is the same as an actual test. Copyright © Numeracy Practice Test Year 9 2009 Practice Test 1 – Calculator Allowed Student Details Test Instructions

1 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 1 Calculate 54.32 x 0.4356 and round to 2 decimal places. 780 000 000 000 can be represented as: 1 2 0.78 x 10 14 78 x 10 12 7.8 x 10 12 78 x 10 11 7.8 x 10 11 Calculate: √36/4 + √49 3 16 10 37/4 25 15 Calculate the answer to two decimal places: 9 x 7.63 4 x 3.7 4 What is the area of the following parallelogram? 5 What is the value of b, if 20 – b – 14 + 3b = 10 6 5.02 4.55 0.22 4.64 63.52 2 3 9 6 4 24 cm 2 12 cm 2 32 cm 2 16 cm 2 28 cm 2 8 cm 4 cm Write one number in the box. Shade one bubble. Shade one bubble. Shade one bubble. Shade one bubble. Shade one bubble. Diagramnot drawn to scale

2 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 1 5 What is the surface area of a cube if the length of its edges is 2 cm? 8 What is the value of x 2–3x + 3 if x = 5 9 Which triangle holds the correct angles for an Isosceles triangle? 12 cm 2 6 cm 2 32 cm 2 24 cm 2 4 cm 2 37 43 10 18 13 10 James eats x apples and Nadia eats 3 more apples than James. If, together, they ate 34 apples, what equation represents the amount of apples eaten? x + 34 = 3 2x + 3 = 34 34 + 2x = 3 2x = 34 x + 3 = 34 30º 60º 50º 70º 55º 70º 30º 70º 80º 45º Shade one bubble. Shade one bubble. Shade one bubble. Shade one bubble.

3 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 1 11 In the following diagram 13 How many small cubes are completely out of sight in this prism? 12 Find the value of y: 10º 55º 180º 70º 50º 9 12 16 15 4 3 y = 81 y = ? 120º 50º B C A ACB =ˆ Shade one bubble. Shade one bubble. Write one number in the box.

4 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 1 14 Brandon is 5 years younger than his brother. The product of their ages is the same as their father’s age. If their father is 50, how old is Brandon? 17 Mrs. Ling asked her class to write a report. If she has a total of 189 pages, and each student submitted an average of 7 pages then how many students are in Mrs. Ling’s class? 15 In your cupboard you have 4 pairs of red socks and 7 pairs of blue socks. What is the ratio of blue pairs to the total number of pairs? 16 A painting company has to paint houses at a rate of 70 houses every 5 days. Which rate of painting houses is the equivalent to this? 18 10 15 12 5 50 houses in 6 days 140 houses in 10 days 20 houses in 2.5 days 210 houses in 15 days 270 houses in 30 days 25 27 29 30 24 Shade one bubble. Write the answer in the box. Shade one bubble. Shade one bubble. 18 Calculate the value of 12a 2b – 6a if a = 2 and b = 3 Write one number in the box. :

5 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 1 20 61.07 31.33 22 21 If an aeroplane departs at 11:27 am and travels for 2 hours and 38 minutes, what time will it arrive at its destination? 23 What is the area of the unshaded quadrilateral? x (21.04 – 15.03) 2 is closest to: 70 –185 98 69 71 1:05 pm 2:38 pm 1:38 pm 2:05 pm 3:05 pm 13 20 32 36 24 Approximate the following to the nearest whole number: 44.5 + √10 (6.09) 2 4 7 Shade one bubble. Shade one bubble. Write one number in the box. Shade one bubble. Use the area and length of the base in the following triangle to find the missing height. 19 10 m A rea = 4 0 m 2 ? Shade one bubble. 4 m 5 m 8 m 16 m 10 m Diagramnot drawn to scale

6 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 1 24 Calculate the surface area of the following object. 26 The following diagram represents Alex’s bedroom. Which expression gives the area of the bedroom? 25 Juan’s cupboard has red, blue, green, yellow and orange socks. The probability of Juan finding the different colour socks is given in a table below. What is the probability of Juan finding green socks? 10.2 cm 2 cm 3.5 cm Colour Red Blue Green Yellow Orange Probability 0.15 0.2 ? 0.05 0.35 71.4 cm 2 126.2 cm 2 63.1 cm 2 15.7 cm 2 142.8 cm 2 x x x x 4x 2 2x 2 x2 3x 2 4x Shade one bubble. Shade one bubble. Diagramnot drawn to scale Write the answer in the box.

7 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 1 27 The equation of the line is: 28 A 2 cm cube is cut in half. How much smaller is the surface area of the new block?: y = x – 2 y = –x + 2 y = x + 2 y = –x – 2 y = 2x 8 cm 2 12 cm 2 4 cm 2 1 cm 2 2 cm 2 x y 3 2 1 0 -1 -2 -3 1 2 3 -3 -2 -1 Shade one bubble. Shade one bubble.

8 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 1 The following table is required for the next two questions. The table represents the number of medals won by the top three countries at the 2008 Olympic Games. END OF TEST 29 30 In the above table, which country has a ratio of gold medals:bronze medals of 1:1? If all 282 medals are placed in a bag, what is the probability a gold medal from the USA would be drawn out the bag? 110 282 36 282 36 110 100 282 23 110 Medal Table Gold Silver Bronze Total China 51 21 28 100 USA 36 38 36 110 Russia 23 21 28 72 Total 110 80 92 282 Shade one bubble. Write the answer in the box.