# ShillerMath Book 4 Test Answers

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2 ShillerMath Book 4 Test Answers HOW KIDS LEARN MATH NO Score 1 point for each correct answer (maximum score: 7) [Lessons 4-14, 4-15, 4-16] a. Earth e. false; a polygon s sides must all be straight line segments b. measure f. true c. many g. true d. angle 6. Score 2 points for each correct answer (maximum score: 8) [Lesson 4-18] a. true c. false: if A = 8 and C = 5 then A + C = 13 (not 12) b. true d. true 7. Score 2 point for each correct answer (maximum score: 6) [Lessons 4-12, 4-13, 4-19] a. 2 inches b. horizontal; like the horizon c. 3½ 1½ = 2 Book 4 Test Answers Page 2 ShillerMath All Rights Reserved

3 ShillerMath Book 4 Test Answers 8. Score 1 point for each correct answer (maximum score: 8) [Lessons 4-20, 4-21] a. 16 e. 2 HOW KIDS LEARN MATH b. 2,000 c. 8 f. 4 g. 128 d. 2 h. 1 gallon = 4 quarts. 1 quart = 32 ounces. So 1 gallon = 4 quarts 32 ounces per quart = 128 ounces 9. Score 1 point for each correct answer (maximum score: 7) [Lessons 4-11, 4-17, 4-22, 4-23] a. false; 10 is also an even number between 1 and 10 inclusive b. true c. false; 9 is an odd number too d. false; 9 is a perfect square that is odd e. true f. divide by 5 g. Score 1 point if all correct, 0 points otherwise: 1,100: One thousand one hundred 2,350: Two thousand three hundred fifty 500: Five hundred 245: Two hundred forty-five 5: Five 65: Sixty-five 220: Two hundred twenty 470: Four hundred seventy 100: One hundred 49: Forty-nine 1: One 13: Thirteen 10. Score 1 point for each correct answer (maximum score: 7) [Lessons 4-25, 4-35, 4-40] a. 3, 12, 21,30 e. 69, 78, 87, 96 b. 6, 15, 24, 33, 42, 51, 60 c. 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 f. 99 g. 33 d. 39, 48, 57, 66, 75, 84, 93 Book 4 Test Answers Page 3 ShillerMath All Rights Reserved

4 ShillerMath Book 4 Test Answers 11. Score 2 points for each correct answer (maximum score: 8) [Lessons 4-26, 4-42] HOW KIDS LEARN MATH a. DCCCVII b. 990 c. 500 d. 7: IVXLCDM 12. Maximum score: 10. [Lessons 4-28, 4-29, 4-31] a. Score 1 point for each correct answer (maximum 3 points): The name of the set is S. The curly braces enclose the members of the set. This set has 3 members. b. Score 2 points for set equations that use all 16 elements exactly once: [Note: there are many possible ways to break down this set into three subsets; other answers may be correct if the set equations, the rule, and the set members all properly answer the question.] A = { 3, 5, 7, 11, 13, 15 } B = { 2, 6, 8, 10, 12, 14 } C = { 1, 4, 9, 16 } Score 1 point each for rule that match the sets (maximum 3 points): A: odd numbers but not perfect squares; B: even numbers but not perfect squares; C: perfect squares c. Score 1 point for each correct answer (maximum 3 points): i. 0 B ii. 3,913 E iii. 20,000 E 13. Maximum score: 10 [Lessons 4-30, 4-33, 4-34] Score one point each for the division expression and the fraction: a Book 4 Test Answers Page 4 ShillerMath All Rights Reserved

5 ShillerMath Book 4 Test Answers b HOW KIDS LEARN MATH c d e. 1, Score 1 point for each correct answer (maximum score: 5) [Lesson 4-36] a. A38C2 b. 1559D c d. First cross out all numbers that are not between 5 and 9 inclusive. Then write the remaining numbers. Then write them backwards. e. AC 1, Score 1 point for each correct answer (maximum score: 9) [Lessons 4-27, 4-37, 4-38] a. 50 f. 1,000 b. 80 c. 60 d. 50 g. 1,000 h. 800 i. 2495, 2496, 2497, 2498, 2499 e Score 2 points for each correct answer (maximum score: 6) [Lesson 4-39] a: 1915; b: 1942; c: Score 1 point for each correct answer (maximum score: 9) [Lessons 4-32, 4-42] Score one point for getting all three terms of each sequence and score two points for getting the rule. a. I, X, XIX, XXVIII, XXXVII, XLVI, LV Rule: add 9 b. 20, 40, 80, 160, 320, 640, 1280 Rule: times 2 c. 1, 4, 9, 16, 25, 36, 49 Rule: perfect squares Book 4 Test Answers Page 5 ShillerMath All Rights Reserved

9 13. Score 2 points for each correct answer (maximum score: 12) [Lessons 4-64, 4-65, 4-67, 4-78] a. 47 b. 190 c. 294 d. 160 e. 77 f Score 1 point for each correct answer (maximum score: 9) [Lessons 4-66, 4-69] a. i. 15 ii. 30 iii. 0 iv. 45 b. i. > ii. < iii. > iv. < v. = 15. Score 1 point for each correct answer (maximum score: 7) [Lessons 4-68, 4-70, 4-71, 4-72] a. False b. True c. True d. False e. False f. False g. True 16. Score 1 point for each correct answer (maximum score: 3) [Lessons 4-73] a. number b. true or false c. object 17. Score 1 point for each correct answer (maximum score: 5) [Lessons 4-71, 4-74, 4-75, 4-76] a. The length of the rectangle is twice the width (1 point); The perimeter is 36 feet (1 point) b. The perimeter of a rectangle is twice the length plus twice the width (1 point) c. The length is 12 feet (1 point) and the width is 6 feet (1 point) 18. Score 2 points for each correct answer (maximum score: 6) [Lessons 4-77, 4-78] a. 10 b. 18 c. 96 Book 4 Test Answers Page 9 ShillerMath All Rights Reserved

10 19. Score 1 point for each correctly placed dot (maximum score: 6) [Lessons 4-79] Wake up time 9am - - 8am - - 7am - - 6am Day 20. Score 3 points if worked correctly (maximum score: 3) [Lessons 4-80, 4-81] 16 x 14 = (10 + 6) x (10 + 4) = 10 x x x x 4 = = 224 TOTAL SCORE (MAXIMUM 124). Enter a new line onto the Review Test Scoresheet in the Completed Work Binder and fill out all but the last column, including lesson number(s) for any incorrect responses in the Lesson #s to revisit column. After you write in your initials ask the student to do so as well so we can record your accomplishment. If the student got a perfect score, you got everything right! Your math is excellent. Otherwise, you did very well. Now we have the opportunity to look at some of these lessons. Repeat the appropriate lessons and questions until the student achieves a perfect score, each time entering a new line onto the Review Test Scoresheet. Consumable Lessons including review tests are available at END OF REVIEW TEST #4-2 ANSWERS Book 4 Test Answers Page 10 ShillerMath All Rights Reserved

12 Item Estimated Measured Variance Length (inches) Length (inches) 1. television sofa bookshelf Score 2 point for each correct answer (maximum score: 8) [Lessons 4-93, 4-94] a. -1 b. -4 c. -1 d Score 1 point for each correct answer (maximum score: 3) [Lesson 4-95] a. 5 b. 6 c Maximum score: 11 [Lessons 4-96, 4-97] a. 1 point each i. false ii. true iii. true b. 2 points each i. 65 o ii. 37 o c. 2 points each 10. Maximum score: 12 [Lessons 4-98, 4-100, 4-101, 4-102] a. True-False (1 point each) i. true ii. false b. How many inches are in 4'2"? (2 points) Book 4 Test Answers Page 12 ShillerMath All Rights Reserved

13 c. Fill in the blanks in the chart. (2 points each blank) Height in inches Height in feet and inches 36 inches 3 feet 0 inches 63 inches 5 feet 3 inches 57 inches 4 feet 9 inches 33 inches 2 feet 9 inches 11. Maximum score: 3 [Lesson 4-99] The numbers are 8, 4 and Score 1 point for each correct answer (maximum score: 8) [Lessons 4-103, 4-104] Inches Feet Yards Millimeters Centimeters Meters Score 1 point for each correct answer (maximum score: 8) [Lesson 4-105] Seconds Minutes Hours Hours Days Weeks Score 1 point for each correct answer (maximum score: 4) [Lessons 4-106, 4-108] a. "40 minutes after 4" and "20 minutes before 5" b. "10 minutes after 10" and "50 minutes before 11" 15. Maximum score: 3 [Lesson 4-107] W O R M O R M R M 1 3 Book 4 Test Answers Page 13 ShillerMath All Rights Reserved

16 one thousand, one million, one billion 7. Score 2 points for each correct answer (maximum score: 4) [Lesson 4-123] a. 6 x x x x x 10 0 b. 1 x x x Maximum score: 2 [Lesson 4-124] The answer is (Maximum score: 10) [Lessons 4-125, 4-126] a. Score 1 point for each correct answer and 1 point for the correct rule i. 13; add 3 ii. 2000; multiply by 10 iii. 81; multiply by 3 b. Score 2 points for each correct answer i. 73 ii Maximum score: 10 [Lessons 4-127, 4-129, 4-130] a. 5 points for getting them all correct; 0 points otherwise: \$1 \$5 \$ b. 2 points for each method 1st way - 20 minus 6 is 14 so we give the customer \$14 (either one \$10 bill and four \$1 bills or two \$5 bills and four \$1 bills or one \$5 bill and nine \$1 bills or fourteen \$1 bills). 2nd way - From \$6, give four \$1 bills to get to \$10, then give \$10 more (either one \$10 bill, two \$5 bills, one \$5 bill and five \$1 bills, or ten \$1 bills). c. Four \$1 bills and one \$10 bill. (1 point) 11. Maximum score: 7 [Lessons 4-131, 4-132, 4-133] a. (1 point) 2, since eight divided by two is four, and four divided by two is two. Book 4 Test Answers Page 16 ShillerMath All Rights Reserved

17 b. (1 point for each correct entry in the table) Series Next 3 numbers Pattern i. 12, 24, 36, 48, 60, ii. I, 4, VII, 10, XIII, and alternate with Roman numerals c. (2 points) 6 for 28, 35, 42, 49, 56, Score 1 point for each correct answer (maximum score: 4) [Lessons 4-134, 4-135] a. many correct answers are possible. (1 point for each correct method) = = = = = = = 132 b. many correct answers are possible. (1 point for each correct method) = = Score 3 points for each correct answer (maximum score: 15) [Lessons 4-136, 4-137, 4-138] a b. 11,032 c. 85,475 d. 832,785 e. 439, Score 4 points for each correct answer (maximum score: 8) [Lessons 4-139] a. Bob has 14 books. He has twice as many books as Mary so Mary has 7. Mary has two more books than Dave so Dave has 5. Combined they have = 26 books. b. Edith rode 5 miles. Ann rode twice as far as Edith so Ann rode 10 miles. Joan rode twice as far as Ann so Joan rode 20 miles. Combined they rode 20 (Joan) + 10 (Ann) + 5 (Edith) = 35 miles. 15. Score 1 point for each correct answer (maximum score: 4) [Lesson 4-141] a. false b. true c. true d. false Book 4 Test Answers Page 17 ShillerMath All Rights Reserved

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