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Box 35665 Greensboro, NC 27425 USA ISBN 978-1-4838-0917-5 Table of Contents Grade 6 Chapter 1 Adding and Subtracting through 6 Digits Chapter 1 Pretest 1 Lessons 1–3 2–4 Chapter 1 Posttest 5 Chapter 2 Multiplying and Dividing Whole Numbers Chapter 2 Pretest 6 Lessons 1–5 7–11 Chapter 2 Posttest 12 Chapter 3 Understanding Fractions Chapter 3 Pretest 13 Lessons 1–6 14–19 Chapter 3 Posttest 20 Chapter 4 Adding and Subtracting Fractions Chapter 4 Pretest 21 Lessons 1–4 22–24 Chapter 4 Posttest 25 Chapter 5 Multiplying and Dividing Fractions Chapter 5 Pretest 26 Lessons 1–6 27–31 Chapter 5 Posttest 32 Chapter 6 Adding and Subtracting Decimals Chapter 6 Pretest 33 Lessons 1–6 34–38 Chapter 6 Posttest 39 Chapters 1–6 Mid-Test 40–43 Chapter 7 Multiplying and Dividing Decimals Chapter 7 Pretest 44 Lessons 1–5 45–47 Chapter 7 Posttest 48 Chapter 8 Finding Percents Chapter 8 Pretest 49 Lessons 1–4 50–55 Chapter 8 Posttest 56 iii 0-7696-5916-0 FM_Final.indd 3 9/23/13 10:50 AM Table of Contents, continued Chapter 9 Customary Measurement Chapter 9 Pretest 57 Lessons 1–4 58–61 Chapter 9 Posttest 62 Chapter 10 Metric Measurement Chapter 10 Pretest 63 Lessons 1–5 64–68 Chapter 10 Posttest 69 Chapter 11 Probability and Statistics Chapter 11 Pretest 70–71 Lessons 1–7 72–78 Chapter 11 Posttest 79–80 Chapter 12 Geometry Chapter 12 Pretest 81 Lessons 1–6 82–88 Chapter 12 Posttest 89 Chapter 13 Preparing for Algebra Chapter 13 Pretest 90–91 Lessons 1–9 92–105 Chapter 13 Posttest 106–107 Chapters 1–13 Final Test 108–113 Scoring Record for Posttests, Mid-Test, and Final Test 114 Grade 6 Answers 115–124 iv 0-7696-5916-0 FM_Final.indd 4 9/23/13 10:50 AM NAME Check What You Know C H A P Adding and Subtracting through 6 Digits T E R 1 P Read the problem carefully and solve. Show your work under each question. R E T A traffic engineering company performed a survey of the vehicles using a section of a highway. E S T During the survey period, the engineers counted 34,780 cars, 12,679 small commercial vehicles, 2,410 medium trucks, 14,397 large trucks, and 876 other vehicles. 1. What is the total number of medium and 4. About how many small commercial large trucks that used the highway during vehicles and medium trucks used the the survey? highway during the survey? about commercial trucks vehicles and medium trucks 2. Out of all the vehicles classified as other 5. What is the difference between the vehicles, 664 of them were motorcycles. number of large trucks and the number How many of the other vehicles were not of medium trucks counted in the survey? motorcycles? trucks were not motorcycles 3. How many of the vehicles that were 6. What is the total number of vehicles counted in the survey were not classified that passed the survey point during as cars? the counting period? vehicles were vehicles not cars Spectrum Word Problems Check What You Know Grade 6 Chapter 1 1 0-7696-5916-0 sec1_Final.indd 1 9/23/13 10:51 AM NAME Lesson 1.1 Adding and Subtracting 2 and 3 Digits Read the problem carefully and solve. Show your work under each question. Lee bought a bag of 500 marbles. He sorted the marbles by color. He had 163 red marbles, 175 green marbles, 98 yellow marbles, and 64 blue marbles. 3. Of the 500 marbles, how many were not Helpful Hint green? When two digits add up to more than 10, rename the digits and carry, if necessary. marbles For example: 1 1 8 (cid:31) 1 9 3 7 17 is renamed as 1 ten and 7 ones. 1. Lee placed all of the red marbles and the 4. There were two sizes of red marbles. If yellow marbles in one bag. How many 18 of the red marbles were large, how marbles were in the bag in total? many small red marbles were in the bag? marbles red marbles 2. Lee placed the blue and green marbles 5. If Lee gave 128 of the marbles to his in another bag. How many marbles friend Anna, how many marbles did altogether were in that bag? he still have? marbles marbles Spectrum Word Problems Lesson 1.1 Grade 6 Adding and Subtracting 2 and 3 Digits 2 0-7696-5916-0 sec1_Final.indd 2 9/23/13 10:51 AM NAME Lesson 1.2 Adding and Subtracting Large Numbers and Estimating Read the problem carefully and solve. Show your work under each question. Taro is researching the population of Alaska. He finds that the largest cities in Alaska are Anchorage, Fairbanks, and Juneau. He learns that in 2006, the population of Anchorage was 278,700 people. The city of Fairbanks had a population of 31,142 people, and Juneau had a population of 30,737 people. 3. Based on the 2006 census, what was Helpful Hint the exact population of Anchorage and Juneau combined? To estimate a sum or difference, round each number to the highest place value they have in common, and then add or people subtract. If the digit to the right of the place value is equal to or greater than 5, round to the next higher number. 1. In 2006, about how many people lived 4. If the total population of Alaska in 2006 in Fairbanks and Juneau combined? was 670,053, how many people in Alaska did not live in Anchorage? about people people 2. In 2006, about how many people lived 5. If 5,350 visitors came to Juneau for a in Anchorage and Juneau combined? festival in 2006, about how many people were in the city during the festival? about people about people Spectrum Word Problems Lesson 1.2 Grade 6 Adding and Subtracting Large Numbers and Estimating 3 0-7696-5916-0 sec1_Final.indd 3 9/23/13 10:51 AM NAME Lesson 1.3 Adding 3 or More Numbers (3 through 6 digits) Read the problem carefully and solve. Show your work under each question. There are five CD stores in an area. The chart below shows the number of CDs sold at each store in January. Store A Store B Store C Store D Store E 4,569 8,822 16,725 6,224 42,480 3. All of the sales at Store E were made Helpful Hint online and all of the sales at the other When adding numbers with different stores were made in person. How many amounts of digits, be sure to line the of the CDs were sold in person? numbers up correctly by place value before adding. CDs 1. Store A, Store B, and Store C are owned by the same company. How many CDs altogether did that company sell in January? 4. In addition to CDs, Store E sells t-shirts CDs and posters. If there were 1,219 t-shirts and 367 posters sold in January, what was the total number of products sold by Store E during this month? products 2. Store B, Store C, and Store D are located in the same shopping center. How many CDs were sold in that shopping center in all? 5. How many CDs altogether were sold at CDs the area stores in January? CDs Spectrum Word Problems Lesson 1.3 Grade 6 Adding 3 or More Numbers (3 through 6 digits) 4 0-7696-5916-0 sec1_Final.indd 4 9/23/13 10:51 AM