Math 6 (3rd ed) TTK CD Assessment Pages.pdf

Chapter 1, Assessment 1 Solve. 1. 39,083 2. 499,516 3. 1,483...

Chapter 1, Assessment 1 Solve. 1. 39,083 2. 499,516 3. 1,483 + 86,140 + 572,895 5,946 125,223 1,072,411 + 3,197 10,626 4. 38,700 5. 401,387 6. 800,000 − 19,750 − 155,208 − 124,501 18,950 246,179 675,499 Write the answer using 7,103,698,425. 7. In which place is the 7? the Billions place 11. Round the number to the nearest one million. 7,104,000,000 8. What digit is in the Ten Thousands place? 9 12. Write the number in expanded form. 9. Write the value of 6 in word form. 7,000,000,000 + 100,000,000 + 3,000,000 + six hundred thousand 600,000 + 90,000 + 8,000 + 400 + 20 + 5 10. Write the value of the Millions Period in standard form. 103,000,000 © 2011 BJU Press. Unauthorized reproduction prohibited. Solve. 13. Round each number to the greatest place to find the estimate for 814,399 − 163,957. 800,000 − 200,000 = 600,000 14. Estimate the sum of 64,983 and 29,456 using front- end estimation. 64,000 + 29,000 = 93,000 15. The students collected 918 pounds of canned meat, 1,005 pounds of canned fruit, and 1,570 pounds of canned vegetables for the local emergency shelter. How many pounds of food were collected? 918 + 1,005 + 1,570 = 3,493 pounds Math 6, Chapter 1, Assessment 1 Use after Lesson 3.  Chapter 1, Assessment 2 Solve. 1. 170.06 2. $39.95 3. $50.00 4. 6.935 + 49.8 + $16.90 − $17.84 − 0.844 219.86 $56.85 $32.16 6.091 Match. D 5. 3.009 A. three and ninety-six thousandths A 6. 3.096 B. (3 × 1) + (9 × 0.1) + (6 × 0.001) B C. 6 in the Hundredths place 7. 3.906 D. the number with the least value C 8. 3.96 Complete the comparison sentence using >, , or −2. 11. Write an equation to show a number decreased by 100 is 107. © 2011 BJU Press. Unauthorized reproduction prohibited. n − 100 = 107 15. Simplify 2(9 + b) using the Distributive Property. 12. What inverse operation would be used to solve the (2 9) + (2 b) = equation 3y = 48? Solve the equation. 18 + 2b division 3y 48 3 = 3 y = 16 Math 6, Chapter 10, Assessment 1 Use after Lesson 92.  Chapter 11, Assessment 1 Write the term for the definition. Area Circumference Perimeter 1. Perimeter is the distance around a figure. 2. Area is the space within a figure that is measured in square units. 3. Circumference is the distance around a circle. Match. B 4. area of a rectangle A 6. circumference A. 2πr C. (2 l) + (2 w) D 5. area of a parallelogram C 7. perimeter B. l w D. b h Find the perimeter or the circumference of the figure. Use 3.14 for π. Equations may vary. 8. 9. 10. 8 ft 4.5 mm 3 ft 4 ft 4 ft cm 6 3 ft 12 mm 10 ft P = (2 l) + (2 w) C = πd P=s+s+s+s+s+s P = (2 12 mm) + (2 4.5 mm) C = 3.14 6 cm P = 8 ft + (2 4 ft) + (2 3 ft) + 10 ft P = 24 mm + 9 mm C = 18.84 cm P = 8 ft + 8 ft + 6 ft + 10 ft P = 33 mm P = 32 ft © 2011 BJU Press. Unauthorized reproduction prohibited. Find the area of the figure. 11. 10 in. 12. 8m 13. 4.5 cm 5m 10 in. 8m 9 cm 16 m A=l w A = (l w) + (l w) A=b h A = 10 in. 10 in. A = (8 m 8 m) + (8 m 3 m) A = 9 cm 4.5 cm A = 100 in.2 A = 64 m2 + 24 m2 A = 40.5 cm2 A = 88 m2 Solve. 14. A rectangle has an area of 112 m2. Circle the possible measures of the length and width. 33 m × 4 m 16 m × 7 m 24 m × 13 m Math 6, Chapter 11, Assessment 1 Use after Lesson 100.  Chapter 11, Assessment 2 Match the formula. C 1 1. 2 (b h) A 4. πr2 A. area of a circle D. area of a rectangle D 2. l w F 5. (2 l) + (2 w) B. area of a square E. area of a parallelogram B 3. b h E 6. s2 C. area of a triangle F. perimeter of a rectangle Find the area of the figure. Use 3.14 for π. 7. 8. 9. 10. 8 in. 10 cm 4 cm 6.5 in. 6 cm 7 in. A = 12 (b h) A = 12 (b h) A = πr2 A = πr2 A = 3.14 (8 in.)2 A = 3.14 × (5 cm)2 A = 12 (7 in. 6.5 in.) A = 12 (6 cm 4 cm) A = 3.14 64 in.2 A = 3.14 × 25 cm2 A = 12 (45.5 in.2) A = 12 (24 cm2) A = 200.96 in.2 A = 78.5 cm2 A = 22.75 in.2 A = 12 cm2 Use the figure to find the answer. 11. How many faces does the cube (square prism) have? 6 12. Circle the measurement that could describe the area of one face of the cube. 20 cm2 25 cm2 15 cm2 © 2011 BJU Press. Unauthorized reproduction prohibited. 13. If one face of the cube has an area of 36 cm2, write an equation to show the total surface area of the cube. 6 × 36 cm2 = 216 cm2 Find the surface area of the prism. 14. 15. 10 cm 17 cm 4 cm 5 cm 4c 28 cm m 9 cm S = 2(4 cm × 4 cm) + 4(4 cm × 9 cm) S = 2[ 12 (10 cm × 28 cm)] + (5 cm × 28 cm) + S = (2 × 16 cm2) + (4 × 36 cm2) S = 32 cm2 + 144 cm2 2(5 cm × 17 cm) S = 176 cm2 S = 280 cm2 + 140 cm2 + 170 cm2 S = 590 cm2 Math 6, Chapter 11, Assessment 2 Use after Lesson 103.  Chapter 12, Assessment 1 Match. D 1. V = s3 B 3. V = ( 12 bh1)h2 A. volume of a rectangular prism A 2. V = (l w) h C 4. V = (πr2)h B. volume of a triangular prism C. volume of a cylinder D. volume of a cube Write the formula used to find the volume of the figure. Find the volume of the figure. 5. 6. 7. 3 cm 8 in. 8 cm 4 in. 4 in. V = s3 or V = (l w) h V = (l w) h V = (πr2)h V = (3 units 3 units) 3 units V = (4 in. 4 in.) 8 in. V = 3.14 (3 cm)2 8 cm V = 27 units3 V = 128 in.3 V = 3.14 9 cm2 8 cm V = 226.08 cm3 8. 9. 10. 10 in. 7 in. 5 cm 11 in. 18 in. 17 in. 5 cm 14.5 in. 5 cm V = (l w) h V = s3 © 2011 BJU Press. Unauthorized reproduction prohibited. V = (17 in. 14.5 in.) 11 in. V = (5 cm)3 V = 2,711.5 in.3 V = 125 cm3 Use the figure to solve. Steps to solve may vary. 11. Count the squares to find the area of the base. Find 13. Circle the dimensions that could belong to an the volume of the prism that could be built if the aquarium with a volume of 6,480 in.3 height is 10 centimeters. 30 in. × 30 in. × 12 in. B = 7 cm2 V = 7 cm2 × 10 cm = 70 cm3 24 in. × 15 in. × 18 in. 30 in. × 20 in. × 5 in. 12. The volume of the rectangular prism is 504 cm3. What is the height of the prism if B = 84 cm2? 504 cm3 ÷ 84 cm2 = 6 cm Math 6, Chapter 12, Assessment 1 Use after Lesson 110.  Chapter 13, Assessment 1 Use the information to find the answer. The bowl of fruit on the table has 6 oranges and 8 apples. 1. Write the ratio of oranges to apples in ratio form, word form, and fraction form. 6 : 8; 6 to 8; 6 8 2. Circle the ratio that is equivalent to oranges apples in the fruit bowl. 12 12 18 14 16 12 3. Write the ratio of apples to fruit in the bowl in fraction form. 8 or 4 14 7 Solve the proportion. Proportion may be solved in various ways. 4. 14 7 = 52 n 5. n9 = 27 81 6. 16 =n 20 5 n = 26 n=3 n=4 Solve. © 2011 BJU Press. Unauthorized reproduction prohibited. 7. What is the cost of each apple if a bag of 8 apples is 10. Gabriella is paid $8.50 per hour when she baby-sits. $3.99? (Round to the nearest hundredth.) How much will she earn for 4 hours? $3.99 ÷ 8 ≈ $0.50 4 × $8.50 = $34.00 or $8.50 = n ; n = $34.00 1 hr 4 8. The evangelistic team is traveling to minister at a 11. Complete the ratio table. youth camp. Use the key to determine the number of miles the team will travel if the distance on the package 1 2 3 4 5 6 map measures 5 12 inches. balloons 12 24 36 48 60 72 Key 1 inch = 50 miles 5 1 × 50 = 275 mi 2 12. Circle the ratio that could be included in the ratio 9. The evangelistic team traveled 225 miles in 4 hours. table in problem 8. At this rate how far will they travel in 8 hours? 225 = n ; n = 450 mi 10 10 12 4 8 100 140 144 Math 6, Chapter 13, Assessment 1 Use after Lesson 118.  Chapter 13, Assessment 2 Write the equivalent percent for the fraction or the decimal. 5% 15% 20% 50% 15 = 1. 100 15% 3. 0.5 = 50% 2. 10 = 20% 4. 0.05 = 5% 50 Find the percent of the number. Answer may be found in various ways. 5. 28% of 80 = 22.4 6. 65% of 90 = 58.5 7. 50% of 70 = 35 Solve. 8. The fan for Evan’s room cost $12.00. What was the 10. There were 50 facts on the math fact quiz. Shelton purchase total after 6% sales tax was added to the correctly answered 47 of them. Write his score cost? $12.00 + (0.06 × $12.00) = using a percent. $12.00 + $0.72 = $12.72 47 × 2 = 94 = 94% 50 2 100 9. The original cost of the baseball glove that Mike 3 as a percent. 11. Write 20 wants is $58.00. How much will he save if he buys 3 × 5 15 = 15% it while it is 30% off? What will be the sale price of = 20 5 100 the glove? 30 × $58.00 = $17.40; 100 $58.00 − $17.40 = $40.60 © 2011 BJU Press. Unauthorized reproduction prohibited. After-School Activities Steven graphed his after-school time. Use his circle working on graph to write the answer. rocket model 12. 50% of his time is spent doing homework. riding bike 13. 5% of his time is spent eating. doing eating homework 14. 25% of his time is spent practicing sports. practicing sports 15. What percentage of time is spent working on his rocket and riding his bike? 20% Math 6, Chapter 13, Assessment 2 Use after Lesson 121.  Chapter 14, Assessment 1 Complete the measurement fact. 4 qt 2,000 lb 1000 g 5,280 ft 10 mm 100 cm 12 in. 36 in. 1. 1 ft = 12 in. 5. 1 yd = 36 in. 2. 1 tn = 2,000 lb 6. 1 kg = 1000 g 3. 1 gal = 4 qt 7. 1 cm = 10 mm 4. 1 mi = 5,280 ft 8. 1 m = 100 cm Rename to the given unit of measurement. 9. 6 yd = 18 ft 10. 300 cm = 3 m 11. 1.3 m = 130 cm 6 × 3 = 18 300 ÷ 100 = 3 1.3 × 100 = 130 Solve. 12. Write a comparison sentence using > to compare a 14. Circle the metric unit that would be used to 2.5 liter bottle of juice and a 3000 milliliter bottle of measure the distance between New York City and juice. 3000 mL = 3 L; 3000 mL > 2.5 L Orlando. meter kilometer centimeter © 2011 BJU Press. Unauthorized reproduction prohibited. 13. On Monday Jon jogged 1 12 miles, and Jacob jogged 7,500 feet. Explain who jogged the greater distance. 1 1 × 5,280 ft = 3 × 5,280 = 7,920 ft; Jon 15. Mr. Barnett had 34 of a ton of flagstone delivered to 2 2 jogged the greater distance. his home. How many pounds were delivered? 3 × 2,000 lb = 1,500 lb 4 Math 6, Chapter 14, Assessment 1 Use after Lesson 128.  Chapter 14, Assessment 2 Solve. Simplify the answer. 1. 7 ft 10 in. 2. 3 gal 1 qt 3. 17 km + 3 ft 6 in. +      3 qt + 24 km 10 ft 16 in. = 3 gal 4 qt = 41 km 11 ft 4 in. 4 gal 4. 5500 mL 5. 10 yd 1 ft 6. 3 qt − 3750 mL −   5 yd 2 ft − 1 qt 1 pt 1750 mL 4 yd 2 ft 1 qt 1 pt 7. 3 × 400 mL = 1.2 L 8. 14 of 1 mile = 1,320 ft 9. 58 of 1 ton = 1,250 lb 3 × 400 = 1200 mL 1200 ÷ 1000 = 1.2 L 1 × 5,280 ft = 1,320 ft 5 × 2,000 lb = 1,250 lb 4 8 Solve. 10. How many hours are in 1 week? 13. How many days are represented by 36 hours? 7 × 24 hr = 168 hours 36 ÷ 24 = 1 12 = 1 1 days 24 2 11. Sam left his home airport at 11:30 AM. He arrived 14. The sign in front of the bank displayed the noon in Charleston at 1:47 PM. How long was his trip? temperature as 95°F. At 9:00 PM the sign displayed 11:30 to 1:30 is 2 hr; 1:30 to 1:47 is 17 min; a temperature of 79°F. What was the change in total trip is 2 hr 17 min temperature? 12. Cherith mixed 1 liter of pineapple juice, 950 95° − 79° = 16° drop in temperature or −16° milliliters of cranberry juice, and 1 liter of lemon- © 2011 BJU Press. Unauthorized reproduction prohibited. lime soda. How many milliliters of punch were 15. Approximately how many centimeters are in 1 foot made? if 1 in. ≈ 2.5 cm? 12 × 2.5 cm ≈ 30 cm 1 L + 950 mL + 1 L = 1000 mL + 950 mL + 1000 mL = 2950 mL Math 6, Chapter 14, Assessment 2 Use after Lesson 131.  Chapter 15, Assessment 1 Use the graph to find the answer. 1. What is the range of test scores for Kylie? Math Test Scores 99 − 85 = 14 points 100 98 96 2. What is the range of the scores for Brooke? 94 95 − 81 = 14 points 92 Scores 90 88 86 Key 3. On which test did the girls have the greatest 84 Kylie’s scores point difference? Test 3 82 80 Brooke’s scores 1 2 3 4 5 6 4. Between which 2 consecutive tests did Kylie’s Test score improve the most? Tests 5 and 6 Complete the frequency table. Use the data to find the answers. Mrs. Sandy’s roping class is going on a Saturday trail ride. Age Tally Frequency 9 9 5. How many students are attending the trail ride? 38 students 10 14 6. What is the range in student ages? 12 − 9 = 3 years 11 4 12 11 7. The mode is represented by which age group? 10 year olds Use the data to find the answer. © 2011 BJU Press. Unauthorized reproduction prohibited. Number of Pets in each Household Age of Students in CPR Class x x Stem Leaf x 1 5 7 8 8 8 x x x x x x x 2 0 0 0 0 0 2 5 x x x x x 3 0 4 9 Key 3|0 = 30 0 1 2 3 4 5 6 8. How many households are represented? 12. What is the range of ages? 39 − 15 = 24 years 15 households 13. What age is the median? 20 years old 9. According to the graph, most households have how many pets? 1 pet 14. What is the mean? 336 ÷ 15 = 22.4 years old 10. What is the outlier? 6 15. What is the mode? 20 years old 11. What is the mean? 1.6 pets per household Math 6, Chapter 15, Assessment 1 Use after Lesson 141.  Chapter 15, Assessment 2 Use the data from the line graph to find the answer. 1. Which grade shows the greatest difference in the Sunday School Attendance number of boys and girls? Number of Students 16 grade 5 14 12 2. Which grades have a total of 25 students? 10 8 Key grades 6 and 7 6 Boys 4 3. Round to the nearest whole number to find the 2 Girls 0 mean (average) number of girls attending Sunday 4 5 6 7 school in grades 4 through 7. Grade 49 ÷ 4 = 12.25; 12 girls 4. Round to the nearest whole number to find the mean (average) number of boys attending Sunday school in grades 4 through 7. 51 ÷ 4 = 12.75; 13 boys Use the data from the histogram to find the answer. 5. Which interval shows the mode for this data? Building Project Donations $6 to $10 16 Number of People 14 6. How many people donated $16 to $25? 12 21 people 10 8 6 7. How many people donated $15 or less? 4 34 people 2 © 2011 BJU Press. Unauthorized reproduction prohibited. 0 $0–$5 $6–$10 $11–$15 $16–$20 $21–$25 8. What is the range of donations? Donation Amount $25 − $0 = $25 Use the data from the box and whisker plot to find the answer. 9. What is the range of the data? Math Test Scores 98 − 70 = 28 points 10. What is the median of the data? 70 75 85 93 98 85 11. What is the lower quartile? 75 12. What is the upper quartile? 93 Math 6, Chapter 15, Assessment 2 Use after Lesson 144.  Chapter 16, Assessment 1 For the bag of marbles and the spinner, y = yellow, r = red, and b = blue. A marble is drawn from the pictured bag and then returned. Write the probability of the event as a fraction and as a percent. 5 9 1. P(red) = 10 ; 50% 4. P(not yellow) = 10 ; 90% 4 9 2. P(blue) = 10 ; 40% 5. P(either red or blue) = 10 ; 90% r b 1 6 r b 3. P(yellow) = 10 ; 10% 6. P(not blue) = 10 ; 60% b y b r r r Use the spinner to find the answer. 7. List the sample space for spinning the spinner 2 times. {rr, rb, ry, br, bb, by, yr, yb, yy} 8. According to the sample space, what is the probability of landing on the same color both times? r b 3 or 1 9 3 9. Write >,