Survey
* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
Download Quiz 2 7NS 1-8
Document related concepts
no text concepts found
Transcript
Unit 1: Ratios and Proportional Relationships Quiz (Lessons 1 to 3) Name: _____________________ Date: ________________ 1. Extend the patterns. Start by finding the gap between the numbers. a) 5, 8, 11, ____, ____, ____ b) 74, 65, 56, ____, _____, ______ 2. Maya has 72 dog treats. She gives her dog 4 treats a day. How many treats does she have left after 6 days? 3. Add or subtract the number given to continue the pattern. a) (add 6) 17, 23, _____, _____, _____ b) (subtract 3) 54, 51, _____, _____, _____ 4. How many squares are added or subtracted to make each new figure? Write your answers in the circles and extend the number pattern. Then write a rule for the pattern. a) b) Figure Number of Squares Figure Number of Squares 1 5 1 38 2 7 2 33 3 9 3 28 4 4 5 5 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION Rule: 5. Rule: A store rents bicycles. The cost is $6 for the first hour and $3 for every hour after that. How much does it cost to rent a bicycle for 4 hours? Sample Unit Quizzes and Tests for AP Book 6.1 Hours Cost 1 $6 I-1 Unit 1: Ratios and Proportional Relationships Quiz (Lessons 1 to 3) 1. a) 14, 17, 20 b) 47, 38, 29 2. 48 3. a) 29, 35, 41 b) 48, 45, 42 a) 2 Rule: Start at 5 and add 2 each time. b) -5 Rule: Start at 38 and subtract 5 each time. 4. $15 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 5. Answer Key I-2 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 1: Ratios and Proportional Relationships Quiz (Lessons 4 and 5) Name: _____________________ Date: ________________ 1. Draw arrows to find the product or quotient by skip counting. a) 6 × 4 = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 b) 27 ÷ 3 = 2. Find the product or quotient. Hint: You can find the answer by skip counting on your fingers. a) 5 × 7 = ______ b) 9 × 6 = _____ c) 18 ÷ 6 = ______ d) 48 ÷ 8 = _____ 3. Multiply in your head by multiplying digits separately. 4 × 421 = ___________ 4. An octopus has 8 arms. How many arms do 13 octopuses have? COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 5. Multiply by regrouping when you need to. a) b) × 5 3 4 9 × 1 × × 4 × 7 × 8 × × Sample Unit Quizzes and Tests for AP Book 6.1 I-3 Unit 1: Ratios and Proportional Relationships Quiz (Lessons 4 and 5) 1. 2. a) 24 b) 9 a) 35 b) 54 c) 3 d) 6 1684 4. 104 arms 5. a) 486 b) 1176 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 3. Answer Key I-4 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 1: Ratios and Proportional Relationships Quiz (Lessons 6 to 8) Name: _____________________ Date: ________________ 1. a) The ratio of circles to triangles is ____ : ____. b) What does the ratio 1 : 8 describe? ______________________________________________ _____________________________________________________________________________ 2. Build a model or draw a picture that could be described by the ratio 5 : 2. 3. a) Use skip counting or multiplication to complete the ratio table. 3:2 3 1:4 1 2 3 2 4. a) Complete the table for the rate. 6 books for each girl # of girls # of books 1 6 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION b) Find the missing number in the ratio table. 4 12 b) Multiply to find the missing information. 3 hops in 2 minutes ___ hops in 6 minutes BONUS Paul and Leah go bicycling. Paul bicycles 2 miles every 15 minutes. Leah bicycles 3 miles every 20 minutes. Complete the tables. Paul Time (minutes) 15 Distance (miles) 2 Leah Time (minutes) 20 Distance (miles) 3 Who bicycles farther after 60 minutes? ________ Sample Unit Quizzes and Tests for AP Book 6.1 I-5 Unit 1: Ratios and Proportional Relationships Quiz (Lessons 6 to 8) 1. 2. a) 3:4 b) Squares to whole shapes. Answer Key Answers will vary, teacher to check. Two sample answers: i) ii) 3. 4. a) First column: 6, 9, 12 and second column: 4, 6, 8. b) 8 a) First column: 2, 3 and second column: 12, 18. b) 9 Leah bicycles farther (9 miles) than Paul (8 miles). COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS I-6 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 1: Ratios and Proportional Relationships Test (Lessons 1 to 10) Name: _____________________ Date: ________________ 1. a) The ratio of circles to stars is ____ : ____. b) What does the ratio 3 : 5 describe? _________________________________________________ _____________________________________________________________________________ 2. Write the ratio of the lengths. 4 A 1 B C 5 2 D 1 E b) CD to FG ______ : ______ c) GH to BC ______ : ______ d) DE to FH ______ : ______ 2:5 2 6 F G a) AB to EF ______ : ______ 3. a) Use skip counting or multiplication to complete the ratio table. H b) Find the missing numbers in the ratio table. 3:7 5 3 6 9 4. a) Complete the table for the rate. 4 gifts for each student COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 8 # of students 1 # of gifts 4 7 21 28 b) Multiply to find the missing information. 120 miles in 2 hours ___ miles in 8 hours 5. Find the unit rate. a) 4 teachers for 48 students 1 teacher for _____ students Sample Unit Quizzes and Tests for AP Book 6.1 b) 3 books cost $18 1 book costs _____ I-7 Unit 1: Ratios and Proportional Relationships Test (Lessons 1 to 10) 6. continued Find the missing numbers in each double number line diagram. 0 2 4 8 a) 0 5 3 15 20 b) 0 1 3 0 0 6 18 0 20 30 40 1 3 0 4 6 8 c) 6 d) 0 4 7. Team A won 3 out of every 4 games it played and Team B won 4 out of every 5 games it played. Complete the following ratio tables. Team A Games won 3 Games played 4 Team B Games won 4 Games played 5 Which team had a better record after 20 games played? Explain. _________________________ _____________________________________________________________________________ COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS Miranda needs to buy a bottle of honey. She notices that she can pay $4 for a 12 oz bottle, or she can pay $6 for a 24 oz bottle. Which bottle is the better buy? Hint: Find a unit rate (ounces for each dollar). I-8 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 1: Ratios and Proportional Relationships Test (Lessons 1 to 10) 1. 2. 3. 4. 5. 6. 7. a) 2:3 b) Stars to squares. a) 4:8 b) 5:1 c) 6:1 d) 2:7 a) First column: 4, 6, 8 and second column: 10, 15, 20. b) First column 12 and second column 14. a) First column: 2, 3 and second column: 8, 12. b) 480 a) 12 b) $6 a) First row: 6 and second row: 2, 4. b) First row: 10 and second row: 9, 12. c) First row: 12, 24 and second row: 2. d) First row: 10 and second row: 2. Answer Key Team B had a better record (16 games won) than Team A (15 games won) after 20 games played. Larger bottle is the better buy (4 ounces per dollar) than smaller bottle (3 ounces per dollar). COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS Sample Unit Quizzes and Tests for AP Book 6.1 I-9 Unit 2: The Number System Quiz (Lessons 1 to 5) Name: _____________________ Date: ________________ 1. Write the place value of the digit 5 in 8,534,271. _________________________________________ 2. Write the number for the expanded form. 800,000 + 5,000 + 40 + 6 = ___________________________ 3. Write the numeral for the number word. Eight hundred seven million, six thousand, thirty = __________________________ 4. Write 9,040,210 as a number word. ________________________________________________________________________________ 5. –6 a) Circle the integers on the number line: 4 –8 –7 –6 –5 –4 –3 –2 –1 0 1 –1 2 1 3 4 5 6 7 8 b) Order the integers you circled from least to greatest. 6. Write an integer that represents 149 meters below sea level. _________ 7. What is the opposite integer of –16? _______ 8. Write the correct inequality sign (< or >) in the box. a) 7,199 9. 7,295 b) 823 –7,642 c) –19 –17 Which temperature is warmer, –2°F or –5°F? ________ BONUS How many hundreds blocks would you need to represent 10,000? ________ I-10 Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION ________ < ________ < ________ < ________ Unit 2: The Number System Quiz (Lessons 1 to 5) 1. hundred thousands 2. 805,046 3. 807,006,030 4. nine a) million, forty thousand, two hundred ten 5. a) teacher to check b) –6 < –1 < 1 < 4 6. –149 7. +16 OR 16 8. a) < b) > c) < 9. Answer Key –2°F 100 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS Sample Unit Quizzes and Tests for AP Book 6.1 I-11 Unit 2: The Number System Quiz (Lessons 6 to 9) 1. Date: ________________ Name the fraction. a) 2. Name: _____________________ BONUS b) Fill in the blank. a) ______ of the figures are shaded. b) ______ of the figures are circles. c) ______ of the figures are shaded circles. 3. Write an improper fraction and a mixed number for the picture. Improper fraction: _________ Mixed number: _____________ Shade the area given by the improper fraction. Then write a mixed number for the amount. 21 8 5. Mixed number: __________ a) Place the opposite of the boldface numbers on the number line. –2 –1 1 2 0 b) Order the fractions from least to greatest: 1 7 , 2 4 1 7 4 2 , –1, –7 . 2 4 ________ < ________ < _________ < _________ 6. Circle the greater fraction in each pair. a) 3 5 or 8 8 d) – I-12 2 1 or – 3 3 b) 5 2 or 9 9 e) – 4 4 or – 7 5 c) 1 1 or 3 8 f) – 3 3 or – 8 11 Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 4. Unit 2: The Number System Quiz (Lessons 6 to 9) 1. a) Answer Key 5 8 b) 4 9 1 BONUS 4 2. a) 5 7 b) 3 7 c) 2 7 3. 23 Improper fraction: 6 Mixed number: 3 5 6 4. 5 2 8 5. a) –2 – 7 –1 4 –1 b) 6. a) – – 7 4 <– 1 0 2 1 2 < 1 2 < 7 4 5 8 b) 5 9 c) 1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 3 d) – 1 3 e) – 4 7 f) – 3 11 Sample Unit Quizzes and Tests for AP Book 6.1 I-13 Unit 2: The Number System Quiz (Lessons 10 to 13) Name: _____________________ Date: ________________ 2 3 1. How many thirds are in 4 ? _______ 2. Write each improper fraction as a whole number. a) 3. 15 = ______ 3 24 = ________ 4 b) c) 18 = _______ 9 Complete the chart. Improper Fraction 21 4 – 18 5 – Mixed Number 2 5 8 –1 22 3 2 7 4. Use multiplication to find the equivalent fraction. a) b) 9 4× 5× = c) – 20 1× 6× =– 30 3 4 Write 5 fractions equivalent to – . – 6. = 3 = 4 = = = = a) Complete the numerators of the improper fractions. – 3 – – 3 – 3 –6 b) Which temperature is colder, –5F or – 3 –5 16 F? How do you know? 3 BONUS Write a mixed number for the opposite number of I-14 7 . ___________ 3 Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 5. 2× 3× Unit 2: The Number System Quiz (Lessons 10 to 13) 1. 14 2. a) 5 b) 6 c) 2 3. Answer Key From left to right: 1 5 , –3 4 –7 3 , 21 5 ,– 8 9 , 7 1 3 4. a) 6 9 b) 16 20 c) – 5 30 5. Sample answers: – 6 ,– , – 12 8 - 9 12 ,– 16 15 , 20 18 24 6. a) The numerators, from left to right, are: 18, 17, 16, 15 b) – 16 3 , because it is to the left of –5 on the number line. BONUS –2 1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 3 Sample Unit Quizzes and Tests for AP Book 6.1 I-15 Unit 2: The Number System Quiz (Lessons 14 to 19) 1. Date: ________________ Find the lowest common multiple. a) 6 and 8 b) 4 and 5 LCM = ___________ 2. Name: _____________________ LCM = _________ a) Fill in the chart to find all the factor pairs. There might be more rows than you need. i) 24 First Factor ii) 32 Second Factor First Factor Second Factor b) What is the greatest common factor of 24 and 32? __________ 3. a) What number is a factor of every number? ______ b) What number is a multiple of every number? ______ Complete the statement with “GCF” or “LCM.” a) The ________ of 6 and 10 is 2. 5. b) The __________ of 15 and 20 is 60. Name a counterexample that shows the claim is not true. a t g r e c a) All of the letters come before “p” in the alphabet.______ b) All of the letters are in the word “arithmetic.”_____ BONUS The LCM of 3 and 3,000 = _____________ I-16 Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 4. Unit 2: The Number System Quiz (Lessons 14 to 19) 1. 2. a) 24 b) 20 a) i) First Second 1 24 2 12 3 8 4 6 6 stop Answer Key ii) 3. 4. 5. First Second 1 32 2 16 4 8 8 stop b) 8 a) 1 b) 0 a) GCF b) LCM a) t OR r b) g 3,000 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS Sample Unit Quizzes and Tests for AP Book 6.1 I-17 Unit 2: The Number System Test (Lessons 1 to 23) 1. Date: ________________ Compare the integers. Write < or >. a) –326,408 2. Name: _____________________ –328,219 b) –427,691 c) +320 –2,000 d) –154 e) +927 +3,204 f) 0 –49,723 160 –27 Write the integer you would use to represent each quantity. a) A temperature of five degrees below zero. ____________ b) A height of three hundred meters above sea level. ____________ c) A time zone that is six hours behind London, England. _____________ 3. The chart shows the daily temperatures in one city, for a week. Mo Tu We Th Fr Sa Su –8°F –3°F +4°F +2°F –5°F –12°F –17°F a) What day was warmer, Monday or Tuesday? ________________________________ b) What day was the warmest? ______________________________________ c) What day was the coldest? ______________________________________ 4. Write the equivalent integer. – I-18 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION d) On what day was the temperature closest to 0°F? _______________________________ 32 = ______ 4 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 2: The Number System Test (Lessons 1 to 23) 5. What two integers is – continued 40 between? ________ and ________ 6 Show your answer on the number line. – 6. 3 4 – 6 – – 6 6 – 6 – 6 – 7 10 Add or subtract. Then write the answer in lowest terms. a) COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 6 Write < or > in the box. Justify your answer. – 7. – 6 3 1 + 4 12 1 2 c) 3 – 1 5 6 Sample Unit Quizzes and Tests for AP Book 6.1 b) 3 1 – 4 12 d) 2 17 2 +6 20 5 I-19 Unit 2: The Number System Test (Lessons 1 to 23) 8. Write the fraction in lowest terms. 32 ÷ 40 ÷ 9. continued = Complete the statement with “GCF” or “LCM.” a) To write a fraction in lowest terms, divide the numerator and denominator by their __________ . b) One common denominator of a pair of fractions is the _________ of the denominators. 10. Are any numbers both a factor of 36 and a multiple of 40? How do you know? _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ BONUS 3 and ____________. 8 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 0 is halfway between 5 BONUS Add. 40 35 54 63 + + + = 8 5 9 7 I-20 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 2: The Number System Test (Lessons 1 to 23) ADVANCED continued 11. a) Find the GCF of 15 and 40. b) Rewrite the sum using the GCF of 15 and 40 as one factor. 15 + 40 = ______ × ( _____ + _____ ) GCF 12. If the statement is true, write “True.” If the statement is false, write a counterexample. a) All factors of 12 are even. ______________ b) All multiples of 12 are even. _______________ c) All factors of 15 are odd. _______________ d) All multiples of 15 are odd. ________________ 13. Miss G’s class has 12 girls and 20 boys. She wants to divide the students into groups so that: Every student is in a group, Each group has the same number of girls, and Each group has the same number of boys. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION What is the greatest number of groups that she can make? _________ BONUS Repeat Question 13 for a school that has 98 girls and 84 boys. Sample Unit Quizzes and Tests for AP Book 6.1 I-21 Unit 2: The Number System Test (Lessons 1 to 23) 1. 2. 3. a) > b) < c) > d) < e) < f) > a) –5 b) +300 c) –6 a) Tuesday 5. 32 ÷ 8 40 ÷ 8 9. 10. = 4 5 a) GCF b) LCM No. All factors of 36 are at most 36, while all multiples of 40, other than 0, are at least 40. BONUS –5 3 8 b) Wednesday c) Sunday d) 4. 8. Answer Key BONUS 27 11. a) 5 b) 5 × (3 + 8) a) 1 OR 3 b) True c) True d) Sample answer: 30 Thursday 12. –8 The numerators of the number line are, from left to right: 42, 41, 40, 39, 38, 37, 36 13. 4 BONUS 14 So the two integers are: 42 –7 = – and 6 36 –6 = – . 6 6. < To see why, note that 3 – 4 15 =– 20 and 7 – = – 14 10 20 Since 15 20 > 14 , 20 so 15 20 7. a) b) 14 <– 10 20 = 6 8 2 c) 1 = 4 3 = 1 6 d) 9 5 20 I-22 5 12 12 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION – 2 3 = 9 1 4 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 3: Expressions and Equations Quiz (Lessons 1 to 3) 1. b) 5 × 4 × 3 = 30 × 2 Add brackets to show which operation was done first. a) 2 − 1 × 4 = 4 3. Date: ________________ Verify that each equation is true. a) (2 + 7) × 3 = (5 × 4) + 7 2. Name: _____________________ b) 6 − 2 × 2 = 2 c) 30 5 × 2 = 3 BONUS 6 × 4 + 6 − 10 = 20 Write an equation for each situation. Use a box for the unknown quantity. a) There are 9 apples altogether. 5 are in the refrigerator. How many are outside the refrigerator? b) 12 children are at the park. 10 children are playing on the swings. How many children are not on the swings? __________________ __________________ 4. Write an equation for each situation. Use the variable x for the number of peaches in the box. a) There are 15 peaches altogether. 6 are outside of a box. How many are in the box? b) There are 21 peaches altogether. 7 are outside of a box. How many are in the box? __________________ 5. __________________ Find the number that makes each equation true and write it on the line. a) _____ + 4 = 7 b) _____ 5 = 3 c) 3 × _____ = 12 BONUS 5 + 7 = 6 + ______ 6. Replace the variable with the given number, then evaluate. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION a) 3h + 4, h = 5 b) 4x − 3, x = 2 7. Write an equation that tells you the relationship between the numbers in column A and column B. a) A B 1 2 3 6 7 8 Sample Unit Quizzes and Tests for AP Book 6.1 b) A B 1 2 4 8 3 12 I-23 Unit 3: Expressions and Equations Quiz (Lessons 1 to 3) 1. 2. a) 27 = 27 b) 60 = 60 a) (2 - 1) × 4 = 4 b) 6 - (2 × 2) = 2 c) 30 (5 × 2) = 3 or (30 5) × 2 Answer Key Bonus ((6 × 4) + 6) − 10 = 20 3. 4. 5. a) 9= b) 12 = 10 + +5 a) 15 = x + 6 b) 21 = x + 7 a) 3 b) 15 c) 4 Bonus 6 6. 19 b) 5 a) A+5=B b) A × 4 = B or 4A =B COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 7. a) I-24 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 3: Expressions and Equations Quiz (Lessons 4 and 5) 1. Name: _____________________ Date: ________________ Let x stand for the number of newspapers in one recycling bin. Write an equation to find x. a) 7 newspapers in total 2. Equation _____________ Equation _____________ ___ newspapers in each recycling bin ___ newspapers in each recycling bin Solve the equation by subtracting the same number from both sides. a) x + 16 = 22 3. b) 14 newspapers in total b) 45 + x = 50 c) 37 = x + 30 Draw circles on the other side of the balance to complete each picture, then solve each equation. a) 6 = 3 × b b) 2 × b = 8 b= 4. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION b= Divide both sides by the same number to solve the equation. a) b × 3 = 15 5. d) 22 + x = 41 b) 4 × b = 20 c) b × 3 = 21 d) 10 × b = 70 Use the picture to explain why you can divide both sides by 4 to solve the equation 4 × b = 8. _______________________________________ _____________________________________________________________________________ _____________________________________________________________________________ Sample Unit Quizzes and Tests for AP Book 6.1 I-25 Unit 3: Expressions and Equations Quiz (Lessons 4 and 5) 1. 2. 3. 4. 3x + 1 = 7, 2 b) 4x + 2 = 14, 3 a) 6 b) 5 c) 7 d) 19 a) 6 circles on the left pan, b = 2 b) 8 circles on the right pan, b = 4 a) b=5 b) b=5 c) b=7 d) b=7 Both sides have four equal groups, so each group on one side is equal to each group on the other side of the balance; therefore, each bag contains 2 apples. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 5. a) Answer Key I-26 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 3: Expressions and Equations Test (Lessons 1 to 7) 1. Name: _____________________ Date: ________________ Write an equation for each situation. Use the variable x for the unknown. a) There are 32 pears altogether. b) There are 53 pears altogether. 7 are outside of a box. 19 are inside a box. How many are in the box? How many are outside? __________________ __________________ 2. Write an equation that tells you the relationship between the numbers in column A and column B. a) 3. b) A B 1 7 2 3 14 21 ___ apples in each bag 3 11 Equation ______________ ___ apples in each bag b) 13 + x = 22 c) 46 = x + 29 d) 33 + x = 55 Divide both sides by the same number to solve the equation. a) b × 4 = 12 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 9 10 Solve the equation by subtracting the same number from both sides. a) x + 24 = 31 6. 1 2 b) 15 apples in total Equation ______________ 5. B Let b stand for the number of apples in each bag. Write an equation to find b. a) 19 apples in total 4. A b) 5 × b = 20 c) b × 9 = 36 d) 7 × b = 42 Replace n with 5 and say whether 5 is too high or too low. Then try a lower or higher number. b) 6n − 4 = 32 a) 4n + 1 = 17 n 4n + 1 Answer 5 5 is too Sample Unit Quizzes and Tests for AP Book 6.1 n 6n − 4 Answer 5 5 is too I-27 Unit 3: Expressions and Equations Test (Lessons 1 to 7) 7. Solve for n by guessing small values for n, checking, and revising. a) 8n + 1 = 25 8. b) 5n − 3 = 22 c) 3n − 2 = 10 Replace the variable with the given number, then evaluate. a) 9. continued , t= 2 7 3 4 b) n + 2 , n = 5 5 c) , w= 3 4 7 Solve each equation by subtracting or adding the same number to both sides. a) b) BONUS BONUS 3 5 of the pizzas they bought. They had of a pizza left over. How many pizzas 8 8 did they buy? Use an equation to find the answer. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION Some friends ate 2 I-28 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 3: Expressions and Equations Test (Lessons 1 to 7) 1. 2. 3. 4. 5. 6. 7. 8. 9. a) x + 7 = 32 b) 53 = 19 + x a) A × 7 = B or 7A =B b) A+8=B a) 3b + 1 = 19, 6 b) 3b + 3 = 15, 4 a) 7 b) 9 c) 17 d) 22 a) 3 b) 4 c) 4 d) 6 a) high, n = 4 b) low, n = 6 a) n=3 b) n=5 c) n=4 a) 3 7 b) 3 2 5 c) 2 1 7 a) x= 2 5 b) x= 13 5 or 1 8 8 Bonus 37 7 or 2 15 15 3 5 x- 2 = , x= 3 8 8 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS x= Answer Key Sample Unit Quizzes and Tests for AP Book 6.1 I-29 Unit 4: The Number System Quiz (Lessons 24 to 29) 1. Date: ________________ Write an equivalent fraction with the given denominator. a) 2. Name: _____________________ 7 = 10 100 b) 5 = 100 1,000 30 = 100 10 c) 2 = 10 1,000 b) 8 4 6 = __________ + + 10 100 1,000 d) Write the decimal for the expanded form. a) 20 + 3 + 7 4 = __________ + 10 100 c) 6 ones + 3 tenths + 5 thousandths = __________ 3. Write the decimal in the expanded form. a) 5.963 = ___ + 10 + 100 + b) 2.045 = 1,000 c) 6.804 = ___ ones + ___ tenths + ___ hundredths + ____ thousandths 4. a) Mark each point with a dot and the correct letter. A. 0.8 –2 B. –.4 –1 7 10 C. - 1 D. 2 3 10 E. –1.2 1 0 2 3 b) Order the numbers from part a) from least to greatest. 5. What temperature is warmer, –2.46°F or –2.5°F? ________ Explain. BONUS I-30 Write a decimal that represents 2 3 meters below sea level. _________ 100 Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION ________ < ________ < ________ < ________ < ________ Unit 4: The Number System Quiz (Lessons 24 to 29) 1. a) Answer Key 70 100 b) 50 1, 000 c) 200 1, 000 d) 3 10 2. 3. a) 23.74 b) 0.846 c) 6.305 a) 5, 9, 6, 3 b) 2+ 0 4 + 10 5 + 100 , 1, 000 0/10 can be omitted 4. c) 6, 8, 0, 4 a) Teacher to check. The order, from left to right, is C, E, B, A, D b) - 1 7 < –1.2 < –.4 10 < 0.8 < 2 3 10 5. –2.46º COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION Explanations will vary; some explanations may involve horizontal or vertical number lines. Sample explanation: –2.46ºF is warmer, because 2.46 < 2.5, so –2.46 > –2.5. Larger numbers correspond to warmer temperatures. BONUS –2.03 Sample Unit Quizzes and Tests for AP Book 6.1 I-31 Unit 4: The Number System Quiz (Lessons 30 to 35) 1. Date: ________________ Change both numbers to fractions with a denominator of 100. Then write < or > in the box. a) 3 4 100 2. Name: _____________________ 0.76 b) 100 2 5 0.38 100 100 The table gives the population of some states in 2012. a) How many more people live in South Dakota that in North Dakota? State Population North Dakota 646,844 South Dakota 812,383 Vermont 621,760 Wyoming 544,270 b) Estimate how many people live in all four states by rounding each number to the nearest hundred thousand. Add or subtract. Use the grid below. a) 32.11 + 4.78 4. c) 3.89 – 0.975 Write a decimal between the two given decimals. There are many correct answers. a) 2.1 and 2.2: _________ BONUS I-32 b) 3.789 + 21.52 b) –3.75 and –3.7: ___________ Continue the pattern: –6.45, –6.47, –6.49, _________, ________ Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 3. Unit 4: The Number System Quiz (Lessons 30 to 35) 1. 2. 3. 4. a) 75 76 , ;< 100 100 b) 40 38 , ;> 100 100 a) 165,539 more people live in South Dakota than in North Dakota b) 2,500,000 a) 36.89 b) 25.309 c) 2.915 a) Answers will vary, teacher to check. Sample answer: 2.14 b) Answers will vary, teacher to check. Sample answer: –3.72 Answer Key COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS –6.51, –6.53 Sample Unit Quizzes and Tests for AP Book 6.1 I-33 Unit 4: The Number System Test (Lessons 24 to 41) 1. Date: ________________ Mark each point with a dot and the correct letter. a) A. –0.6 B. 0.3 –1 2. Name: _____________________ 0 C. - 2 10 b) D. –1.11 E. –0.92 –1.1 1 3 100 F. - 1 –1 –0.9 Change both numbers to fractions with denominator 100. Then write > (greater than) or < (less than) in the box. a) 3 = 4 100 c) .81 = .77 = b) 100 17 = 20 100 100 2 = 5 100 .39 = BONUS –.65 = - 100 100 - 16 = 25 100 3. Which number is larger, –2.56 or –2.6? Explain. 4. Convert the fractions to decimals. Then order the decimals from least to greatest. 1 4 _______ - 3 5 0.32 –0.765 –.63 _______ _______ _______ _______ 5. I-34 Mario wants to buy a book for $23.79 and a chocolate bar for $2.99. He pays with a $50 bill. How much change does he get? Show your work. Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION _______ < _______ < _______ < _______ < _______ Unit 4: The Number System Test (Lessons 24 to 41) 6. a) 32.18 + 9.785 = ___________ 7. Helen reads for continued b) 3.491 × 700 = ___________ 3 of an hour every day. 5 a) How many hours does she spend reading in a week? Write the answer as a mixed number and a decimal. Show your work. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION b) November has 30 days. How much time did Helen spend reading in November? Show your work. 8. Ken had $342.80 and spent $337.50. To estimate how much money he has left, should he round the amount to the nearest dollar, the nearest ten dollars, or the nearest hundred dollars? Explain. BONUS Write a decimal between –2.1 and –2. There are many correct answers. _________ Sample Unit Quizzes and Tests for AP Book 6.1 I-35 Unit 4: The Number System Test (Lessons 24 to 41) 1. 2. a) Teacher to check, the order is A, C, B b) Teacher to check, the order is D, F, E a) 75, <, 77 b) 40, > 39 c) 81, <, 85 Answer Key BONUS 65, <, 64 3. 2.56 < 2.6, so –2.56 > –2.6 so –2.56 is larger 4. 0.25, –0.6, 0.32, –0.765, –.63 –0.765 < –.63 < –0.6 < 0.25 < 0.32 5. $26.78 total purchase, $23.22 change from $50 6. a) 41.965 b) 2,443.7 7. a) 4.2 = 4 1 hours 5 b) 8. 18 hours To the nearest dollar. Because the difference in the amounts is under ten dollars. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS Answers will vary, teacher to check. Sample answer: –2.04 I-36 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 5: Ratios and Proportional Relationships Quiz (Lessons 11 to 12) Name: _____________________ Date: ________________ 1. Fill in the missing figures and ratios. Squares Circles Ratio 3:2 2. Fill in the ratio table. Then write a sequence of four equivalent ratios. a) 6 5 12 10 6 : 5 = 12 : 10 = : = : 2 2:3 = 3 = = 3. Solve the problem by writing a sequence of equivalent ratios. a) Four pencils cost $5. b) On a map, 3 cm represents 11 km. How much will 12 pencils cost? How many kilometers does 12 cm on the map represent? 4. Find the missing number in the ratio table. a) b) 2 7 15 21 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION b) 3 4 c) d) 4 2 6 18 3 6 5. Use a ratio table to solve the problem. a) There are 3 peaches in a bowl for every 2 apples. If there are 8 apples, how many peaches are there? Sample Unit Quizzes and Tests for AP Book 6.1 b) Jessie can run 5 laps in 3 minutes. At that rate, how many laps could she run in 15 minutes? I-37 Unit 5: Ratios and Proportional Relationships Quiz (Lessons 11 to 12) 1. Ratios 3:2, 6:4, 9:6, 12:8 2. a) 18:15, 24:20 b) 4:6, 6:9, 8:12 a) 4:5, 8:10, 12:15. So $15. b) 3:11, 6:22, 9:33, 12:44. So 44 km. a) 6 b) 20 c) 12 d) 9 3. 4. 5 Answer Key a) P A 3 2 6 4 9 6 12 8 So there are 12 peaches. b) Laps min 5 3 10 6 15 9 20 12 25 15 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION So she can run 25 laps in 15 minutes. I-38 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 5: Ratios and Proportional Relationships Quiz (Lessons 13 to 15) Name: _____________________ Date: ________________ 1. Write the decimal as a fraction and then as a percent. a) 0.54 = 100 = % b) 0.07 = BONUS c) 0.7 = 1.00 = 2. What percent of the figure is shaded? a) b) c) d) 3. Change the fraction to a percent by first reducing it to lowest terms. a) 3 = = = 15 5 100 c) 7 = 14 b) % 14 = 35 BONUS 4. Draw marks to show 25%, 50%, and 75% of the line segment. a) b) COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 5. Change each number to a fraction. Then write the numbers in order from least to greatest. 1 , 0.32 , 35% 3 < Sample Unit Quizzes and Tests for AP Book 6.1 < I-39 Unit 5: Ratios and Proportional Relationships Quiz (Lessons 13 to 15) 1. a) 0.54 = 54 = 54% 100 b) 0.07 = 7 = 7% 100 c) 0.7 = Bonus 2 3. Answer Key 70 = 70% 100 1.00 = 100 = 100% 100 a) 3 75 = = 75% 4 100 b) 3 30 = = 30% 10 100 c) 2 50 = = 50% 4 100 d) 3 60 = = 60% 5 100 a) 3 1 20 = = = 20% 15 5 100 b) 14 2 40 = = = 40% 35 5 100 c) 7 1 50 = = = 50% 14 2 100 Bonus 37/74 = 1/2 = 50/100 = 50% 4. a) 25% 50% 75% b) 25% 50% 75% 5. 1 100 = 3 300 32 0.32 = = 100 35 35% = = 100 0.32 < 1 < 35% 3 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION So 96 300 105 300 I-40 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 5: Ratios and Proportional Relationships Quiz (Lessons 16 to 20) Name: _____________________ Date: ________________ 1. Find the percent using multiplication. a) 38% of 23 × b) 76% of 52 2 3 3 8 5 × 7 So 38% of 23 is ________. 2. 2 6 So ______ of ______ is ________. Look at the word “permission.” a) What is the ratio of consonants to vowels? b) What fraction of the letters are consonants? c) What percent of the letters are vowels? 3. Fill in the missing numbers for each classroom. Percent that Are Girls a) b) COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION c) Percent that Are Boys Fraction that Are Girls Fraction that Are Boys Ratio of Girls to Boys 30% % 30 100 ____ : % % ____ 40 100 : % % ____ ____ 2:3 BONUS There are 15 boys and 18 girls in a class. 40% of the boys and 1 of the girls play basketball. 6 How many students play basketball? Sample Unit Quizzes and Tests for AP Book 6.1 I-41 Unit 5: Ratios and Proportional Relationships Quiz (Lessons 16 to 20) 1. a) 1 2 × 1 6 8 2 3 8 9 7 Answer Key 3 8 4 4 38% of 23 is 8.74. b) 1 1 × 3 3 6 3 9 5 7 1 4 5 2 6 2 2 76% of 52 is 39.52. 2. 3. a) 6:4 b) 6 3 or 10 5 c) 40% a) 30%, 70%, 30 70 , , 30 : 70 100 100 b) 60%, 40%, 60 40 , , 60 : 40 100 100 c) 40%, 60%, 9 kids. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION Bonus 40 60 , , 2:3 100 100 I-42 Sample Unit Quizzes and Tests for AP Book 6.1 Unit 5: Ratios and Proportional Relationships Test (Lessons 11 to 22) Name: _____________________ Date: ________________ 1. Fill in the ratio table. Then write a sequence of four equivalent ratios. a) 4 7 8 14 4 : 7 = 8 : 14 = 9 b) : = : 9:5 = 2. Find the missing number in the ratio table. a) b) 6 4 15 20 5 5 c) = = d) 7 8 3 21 18 11 9 3. Change the fraction to a percent by first reducing it to lowest terms. a) 3 = = = 12 4 100 c) 24 = 32 % b) 7 = 35 d) 21 = 42 4. Change each number to a fraction. Then write the numbers in order from least to greatest. 4 , 0.48 , 50% 7 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION < < 5. Use a ratio table to solve the problem. a) Three bus tickets cost $5. How many bus tickets can you buy with $15? Sample Unit Quizzes and Tests for AP Book 6.1 b) The ratio of boys to girls in a school is 5 : 6. If there are 30 girls, how many boys are there? I-43 Unit 5: Ratios and Proportional Relationships Test (Lessons 11 to 22) 6. Sarah buys a backpack that costs $25.00. The taxes are 13%. How much does she pay in taxes? How much in total? 7. Fill in the missing numbers for each classroom. a) b) BONUS 8. Divide. a) 5 Percent that Are Boys Fraction that Are Girls Fraction that Are Boys Ratio of Girls to Boys 45% % 45 100 ____ : % % ____ 40 100 : % % ____ ____ b) ) − − 6 8 7 22 : 18 c) 9) 4 8 7 − − 7 ) 7 4 4 − − BONUS Jay drives to his aunt’s house 240 miles away. He can drive half of the route at 60 miles per hour and the other half at 40 miles per hour. How long does it take to get there? I-44 Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION Percent that Are Girls continued Unit 5: Ratios and Proportional Relationships Test (Lessons 11 to 22) 1. 2. 3. 4. a) 12:21, 16:28 b) 18:10, 27:15, 36:20 8. a) b) a) 1 3 7 8 7 30 5) 6 −5 24 1 8 1 5 − c) 49 d) 22 a) 3 1 25 = = = 25% 12 4 100 b) 7 1 20 = = = 20% 35 5 100 c) 24 3 75 = = = 75% 32 4 100 d) 21 1 50 = = = 50% 42 2 100 4 400 = 7 700 48 0.48 = = 100 50 50% = = 100 7 3 5 2 b) 9) 4 − 5 4 8 7 4 5 − 3 7 3 6 1 336 700 350 700 c) 7) − So 0.48 < 50% < 4/7 5. 3 Answer Key − a) Tickets $ 3 5 9 15 1 0 6 7 4 4 7 0 4 0 0 4 4 4 2 3 BONUS 2 + 3 = 5 hours 9 tickets. b) Boys Girls 5 6 10 6 25 boys 6 $3.25 in taxes; $28.25 in total. 7. a) 45%, 55%, 45 55 , , 45 : 55 100 100 b) COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 60%, 40%, 60 40 , , 60 : 40 100 100 Bonus 55%, 45%, 22/40, 18/40, 22:18 Sample Unit Quizzes and Tests for AP Book 6.1 I-45 Unit 6: Geometry Quiz (Lessons 1 to 6) Name: _____________________ Date: ________________ 1. Use the words “all,” “some,” or “no” to complete the statement. a) __________ squares are rectangles. b) __________ trapezoids are parallelograms. c) __________ rhombuses are parallelograms. d) __________ rhombuses are rectangles. 2. Graph each set of ordered pairs and join the dots to form a polygon. Identify the special quadrilateral drawn. a) A (0, 3) B (4, 5) C (4, 2) D (0, 0) b) E (3, 1) F (0, 1) G (1, 4) H (5, 4) 5 5 4 4 3 3 2 2 1 1 0 0 1 2 3 4 0 5 ABCD is a ________________________. 0 1 2 3 4 5 EFGH is a __________________________. 3. a) Finish the ratio table. Then plot the ordered pairs. i) 5 2 12 10 8 6 4 2 0 0 2 4 6 8 10 12 14 16 18 20 22 24 BONUS Are the points (2, 135) and (56, 135) on the same vertical or horizontal line? How do you know? I-46 Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION b) How does drawing a line through the points help you check that you’ve drawn the points correctly? Unit 6: Geometry Quiz (Lessons 1 to 6) 1. 2. a) all b) no c) some d) some a) 5 4 3 B A C 2 1 Answer Key D 0 0 1 2 3 4 5 parallelogram b) 5 H G 4 3 2 1 F 0 0 1 2 trapezoid 3. a) E 3 5 2 10 4 15 6 20 8 4 5 Teacher to check plot b) The points need to be all on the same line and the line has to pass through (0, 0). Otherwise, it is not a ratio table. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION BONUS Vertical, because the second coordinates are the same in both points. Sample Unit Tests and Quizzes for AP Book 6.1 I-47 Unit 6: Geometry Quiz (Lessons 7 to 13) 1. Name: ________________________ Date: ________________ Find the area and perimeter of the figure. a) Area __________ b) Perimeter __________ 2. b) Base ________ Base ________ Height ________ Height ________ Area _________________ _________ Area _________________ _________ What is the area of each shape? Include the units in your answers. a) b) Area _____________ 4. Perimeter __________ Find the base and height of each shape and calculate the area. Include units in your answers. The grid squares are 1 cm wide (not to scale). a) 3. Area __________ c) Area _____________ Area _____________ On the grid, draw a copy of the triangle so that the two triangles make a parallelogram. Find the area of the triangle and the parallelogram. Include the units in your answers. The grid squares are 1 cm wide (not to scale). Area of triangle ________________ BONUS I-48 Find the area and the perimeter of the shape. Show your work and include units. Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION Area of parallelogram ________________ Unit 6: Geometry Quiz (Lessons 7 to 13) 1. a) Area 12 Answer Key Solution 2: Perimeter 14 b) Area 12 Perimeter 16 2. a) Base 3 cm Height 4 cm b) Area 3 4 Area 12 cm2 Area = (2 6) (3 2) Base 6 cm = 18 m2 Height 4 cm Area 642 Area 12 cm2 3 a) 21 m2 b) 40 cm2 c) 27 ft2 Perimeter: 6 4 3 2 3 2 20 m 4. Area of triangle 2 4 2 4 cm2 Area of parallelogram 2 4 8 cm2 BONUS Solution 1: Area = (2 3) (4 3) COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION = 18 m2 Sample Unit Tests and Quizzes for AP Book 6.1 I-49 Unit 6: Geometry Test (Lessons 1 to 19) 1. Name: ________________________ Date: ________________ Mark all the pairs of parallel sides in each shape. Name the shapes. Use the words “parallelogram,” “square,” “rhombus,” or “rectangle.” a) b) c) _________________ _________________ _________________ 2. Add a point D so that the four points become the vertices of a parallelogram ABCD. a) Write the coordinates of the vertices. b) A( , ), B( , ), C( , ), D( , ) Find the distance. i) Vertical distance between A and B: ________ units ii) Horizontal distance between B and D: ________ units Find the base and height of each shape and calculate the area. Include units in your answer. The shapes are not drawn to scale. a) 4. I-50 b) Base ________ Base ________ Height ________ Height ________ Area _________________ _________ Area _________________ _________ A park is in the shape of a rhombus. Its sides are 200 m long, and the sides are 100 m apart. Organize the data. Write the formula to find the area. Substitute the data to find the area. Given: ___________________________ Formula: __________________________ ___________________________ Area __________________ ________ Sample Unit Quizzes and Tests for AP Book 6.1 COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 3. Unit 6: Geometry Test (Lessons 1 to 19) 5. continued Split the trapezoid into a rectangle and a triangle. Find the area of each shape. Include units in your answer. The grid squares are 1 cm wide (not to scale). Area of rectangle ________________ Area of triangle ________________ Area of trapezoid ________________ 6. A garden is in the shape of a rectangle. It is 6 ft long and covers 18 ft2. How wide is it? Organize the data. Write a formula you could use and an equation. Then solve the equation. Given: _____________________________ Equation: _____________________________ _____________________________ Find: _____________________________ Formula: ____________________________ 7. COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION 8. Convert the units. a) 1 m _________ cm b) 10 mm ________ cm c) 1 m ________ mm d) 8 m _________ cm e) 360 mm ________ cm f) 5 m ________ mm Find the area of the shaded part. Show your work. Include units. BONUS Convert the area of the shaded part from question 8 into cm2. Sample Unit Tests and Quizzes for AP Book 6.1 I-51 Unit 6: Geometry Test (Lessons 1 to 19) 1. 2. Date: ________________ a) square b) parallelogram Whole rectangle: Area 5 10 50 m2 c) rectangle Unshaded parallelogram: a) A(1, 1) B(1, 3) C(4, 5) D(4, 3) 8. Name: ________________________ Area 5 4 20 m2 Shaded area 50 m2 – 20 m2 30 m2 BONUS 300 000 cm2 3 b) i) 2 units ii) 3 units a) Base 10 ft Height 8 ft Area 10 8 2 = 40 ft2 b) Base 2 m Height 3 m Area 2 3 = 6 m2 4. Height 200 m Base 100 m Formula: A b h Area 20,000 m2 5. Rectangle area 12 cm2 Triangle area 6 cm2 Trapezoid area 18 cm2 6. Length 6 ft Area 18 ft2 Find: width (w) Formula: Area length width 6 ft w = 18 ft2 7. I-52 a) 1 m = 100 cm b) 10 mm = 1 cm c) 1 m = 1000 mm d) 8 m = 800 cm e) 360 mm = 36 cm f) 5 m = 5000 mm COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION w 18 ft2 6 ft 3 ft Sample Unit Quizzes and Tests for AP Book 6.1
