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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. Student Details Test Instructions Copyright © 2009 Practice Test 3 – Calculator Allowed Numeracy Practice Test Year 9

1 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 3 Calculate 5.238 x 2.1425 and round to 3 decimal places. Calculate the following and round to 3 decimal places. 1 2 A bag contains only red and blue marbles. There are 48 marbles in total. What is the ratio of red marbles to blue marbles if there are 22 blue marbles in the bag. 3 Which of the following triangles is not scalene? 4 y = 3.338 7.177 0.859 64.592 1.164 5 18 x 2.89 6 x 7.45 7 y = 2401 67º 56º 100º 30º 20º 120º 66º 57º 40º 90º Write one number in the box. Shade one bubble. Write the answer in the box. Shade one bubble. Write one number in the box.

2 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 3 7 The speed of light is 299 792 458 metres per second. What is a quarter of this speed rounded to the nearest million? 8 Solve for x: 9 List the following numbers in ascending order: 6 G, H, F, E F, G, H, E G, H, E, F F, E, H, G H, E, F, G 291 318 6 33 34 x = 60x – 20 16 = 4x – 2 75 000 000 74 000 000 74 948 115 74 948 114 300 000 000 E = 3.76 x 10 4 F = 0.0386 x 10 6 G = 5.92 x 10 3 H = 0.3 x 10 5 Shade one bubble. Shade one bubble. Write one number in the box. 5.4² + √17 is closest to:

3 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 3 10 Calculate the length of the hypotenuse. 11 Calculate the surface area of the following right-angled prism (2 decimal places). 9 cm 441 cm 207 cm 20 cm 14 cm 12 The following prism has volume 1449 cm 3. What is the height of the prism? 4.34 cm 7.42 cm 10.81 cm 23 cm 7 cm ? 2√2 2√7 Write one number in the box. Write the answer in the box. Shade one bubble. Diagramnot drawn to scale Diagramnot drawn to scale

4 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 3 Ivan raised the most charity in his class, he raised $34. The rest of the class, excluding Ivan, made a total of $756, at an average of $28 per person. How many people are in Ivan’s class? 16 14 Adrian is attempting to solve an equation, the following is his work: Line 1: 1 + 2(x + 7) = –5 Line 2: 2(x + 7) = – 6 Line 3: 2x + 14 = – 6 Line 4: 2x = 8 Line 5: x = 4 52 x 7 2 52 x 7 4 53 x 7 2 5 x 7 53 x 7 4 Did Adrian make a mistake? If he did, where did he make it? 15 Kaitlyn runs a triathlon at school. In the triathlon she must swim, ride, and run. She must swim for x meters. She has to run 3 times as much as swim, and ride 5 metres more than she runs. If the total length of the triathlon is 1000 m, how far must she ride? 56 x 7 8 53 x 7 4 = 27 28 22 26 126 13 199 m 204 m 600 m 597 m 194 m No mistake Line 2 Line 3 Line 4 Line 5 Shade one bubble. Shade one bubble. Shade one bubble. Shade one bubble.

5 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 3 17 The following shape is made of 27 small cubes. How many cubes are completely surrounded by other cubes on all sides? What is the value of the following to the nearest whole number? 18 Which one of the following graphs represents x + 2y = 10 20 What is the area of the shaded section in the following shape? 19 36 20 16 18 8 4 5 4 1 2 3 4 None None 0 y x – 5 0 y x 10 5 0 y x –10 5 0 y x –10 5 Shade one bubble. Shade one bubble. Shade one bubble. Write one number in the box. 30.21 + 6.4 2 √5.16

6 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 3 21 Which of the following are possible values for x and y? 22 The shaded area of the following shape is 64 cm 2. What is the value of x? This is the diagram of a rhombus: x = 56.6 y = 113.4 x = 105 y = 85 x = 105 y = 65 x = 103.4 y = 76.6 x = 89.3 y = 100.7 8 cm 6 cm 12 cm 4 cm 2 cm 2x 3x 4x 3x 4x 2x yº xº Shade one bubble. Shade one bubble. 23 The following table represents the probability of selecting certain colours of socks out of a cupboard. If these are the only colours of socks available, then what is the probability of selecting a green pair of socks? Write one number in the box. Colour of socks Red Blue Green Yellow White Probability 0.2 0.15 ? 0.1 0.35

7 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 3 25 The following table displays the amount of people who ordered certain toppings on their pizza. What is the ratio of people who ordered onions to people who did not order onions. 24 The following table displays the preferred sport for a certain school in each year. If a random person was selected from all but the senior section, what is the probability they would be a year 9 student who prefers tennis? (Round to 2 decimal places) 2:1 2:13 2:15 13:2 1:2 0.09 0.06 0.35 0.20 0.25 Tennis Soccer Junior Year 7 25 35 Year 8 31 27 Middle Year 9 22 40 Year 10 33 22 Senior Year 11 31 25 Year 12 30 24 Pizza toppings Mushrooms Tomato Onions Olives Amount sold 80 120 40 60 Shade one bubble. Shade one bubble. 26 The surface area of a cube is 24 cm 2. How long is each side? 4 cm 1.59 cm 2 cm 2.45 cm 24 cm Shade one bubble.

8 Copyright © 3P Learning Pty Ltd Calculator 2009 Numeracy Practice Test 3 28 Tyler has painted a pattern of which a third is blue, and a fifth is red, and a quarter is yellow. On his painting, what is the ratio of blue paint to yellow paint? 29 A 2 cm cube has a 1 cm cube removed from it, as demonstrated by the diagram. How much does this change the surface area? 4:3 3:4 5:3 3:5 1:3 8 cm 2 1 cm 2 4 cm 2 0 cm 2 2 cm 2 Shade one bubble. Shade one bubble. Shade one bubble. 27 Calculate the value of Q if and L = 120 000, P = 2.98, K = 0.005, N = –2. M = 5. Round off to 2 decimal places. Q = L P KN 1M ( ) Write one number in the box. If x = 2 cm, what is the surface area of the new shape. 30 The cube below is cut in half. 8 cm 2 4 m 2 24 cm 2 12 cm 2 16 cm 2 x cm END OF TEST