Mathematics Test Book 3
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1 Mathematics Test Book 3 Grade 8 May 5 7, 2010 Name 21658
2 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California Copyright 2010 by the New York State Education Department. All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the New York State Education Department.
3 Book 3 Tips for taking the test Here are some suggestions to help you do your best: Be sure to read carefully all the directions in the test book. Read each question carefully and think about the answer before writing your response. Be sure to show your work when asked. You may receive partial credit if you have shown your work. Use your calculator to help you solve the problems on this part of the test. This picture means that you will use your ruler. Mathematics Reference Sheet FORMULAS CONVERSIONS Pythagorean Theorem a b c c 2 a 2 b 2 Temperature Conversions F 9 5 C 1 32 Simple Interest Distance Formula I prt d rt C 5 (F 2 32) 9 Measurement Conversions 1 mile 5,280 feet 1 yard 3 feet Book 3 Page
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5 34 Solve the equation below for x. 20x 5x 20 21x 4 Show your work. Answer x 5 Book 3 Go On Page
6 35 John reviewed the diagram below to study the angle of refraction of light as it passes through the air into the water. Incident light ray Normal Air Water c d b f g h Refracted light ray [not drawn to scale] What angles are complementary? Answer and and Page 4 Book 3
7 36 Simplify the expression below, using the laws of exponents. ( ) 5 8 Show your work. Answer 37 What is the sum of (x 2 2 3x 1 2) and (5x 2 2 3x 2 8)? Show your work. Answer Book 3 Go On Page 5
8 38 In the diagram below, line AB and line CD intersect at point P. A C P D B [not drawn to scale] Name the angle that is always congruent to AP C. Answer On the lines below, explain why the two angles are congruent. Page 6 Book 3
9 39 Ms. Lembright ordered the types of muffins below for a class party. 12 blueberry muffins for $ chocolate muffins for $ raisin muffins for $4.50 What type of muffin costs the least? Show your work. Answer muffin Book 3 Go On Page 7
10 40 Michael drew a triangle with the sides measuring 12.5 centimeters, 30 centimeters, and 32.5 centimeters. Using the Pythagorean theorem, determine if Michael s triangle is a right triangle. On the lines below, explain how you determined your answer. 41 What is the product of 8x 2 y the product. and 2xy 3? Use the law of exponents to find Show your work. Answer Page 8 Book 3
11 42 Scott bought a watch for 48 U.S. dollars. What is the cost of the watch in Swiss francs? Use the conversion formula below. 1 U.S. dollar Swiss francs Show your work. Answer Swiss francs Scott would like to buy a battery for 10 U.S. dollars. He has Swiss francs remaining after buying the watch. On the lines below, determine whether Scott has enough money to buy the battery. Explain how you determined your answer. Go On Book 3 Page 9
12 43 Triangle XYZ is plotted on the grid below. y X Z Y x Part A On the grid, draw the image of triangle XYZ after a clockwise rotation of 180 about the origin. Label the new triangle X Y Z. Page 10 Book 3
13 Part B On the lines below, explain how you determined the location of point Y. Book 3 Go On Page 11
14 44 Ken used the function rule below to create a number pattern. y 5 2x 1 2 Complete the table below using Ken s function rule. x y Page 12 Book 3
15 On the coordinate plane below, plot the values of x and y and connect the points with a line. y x Go On Book 3 Page 13
16 45 Estimate Estimation Calculate the value of Show your work. Answer On the lines below, explain why your estimation is reasonable. STOP Page 14 Book 3
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20 Grade 8 Mathematics Test Book 3 May 5 7, 2010 Place Student Label Here
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Mathematics Test Grade 6 March 6 12, 2008 Name 20298 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703.
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