ShillerMath Book 4 Test Answers


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1 ShillerMath Book 4 Test Answers LESSON 444 REVIEW TEST #41 ANSWERS HOW KIDS LEARN MATH Grading instructions: compare the answers here to the student s answers. For each correct answer, add the appropriate number of points, which the student may enter, and compute the total score. After the test has been graded, do the lesson(s) for each incorrect response. Now together we will grade your answers. Enter the start time: Enter the finish time: 1. Score 2 points for each correct answer (maximum score: 4) [Lessons 41, 42] a. 1 point each: quarter to five; four fortyfive b. 2 points: 4:45 2. Score 1 point for each correct answer (maximum score: 5) [Lessons 45, 46, 441] a. true b. false c. true d. false e. true 3. Score 1 point for each correct answer (maximum score: 4) [Lessons 47, 48, 412, 419, 420, 421] Name at least one unit of measurement for each of the following: a. time: seconds, minutes, hours, days, weeks, months, years, centuries, millennia b. height: inches, feet, yards, miles, lightyears, millimeters, centimeters, meters, kilometers c. mass: ounces, pounds, tons, milligrams, grams, kilograms d. volume: tablespoons, ounces, cups, pints, quarts, gallons, milliliters, centiliters, liters 4. Maximum score: 6 [Lessons 49, 410] a. 2 points for getting them all correct; 0 points otherwise: $1, $5, $10, $20, $50, $100 b. 2 points for completing the table correctly; 2 points for identifying that a fifty dollar bill cannot be exchanged for just twenty dollar bills. Book 4 Test Answers Page 1 ShillerMath All Rights Reserved
2 ShillerMath Book 4 Test Answers HOW KIDS LEARN MATH NO Score 1 point for each correct answer (maximum score: 7) [Lessons 414, 415, 416] 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 418] 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 412, 413, 419] 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 420, 421] 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 411, 417, 422, 423] 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 fortyfive 5: Five 65: Sixtyfive 220: Two hundred twenty 470: Four hundred seventy 100: One hundred 49: Fortynine 1: One 13: Thirteen 10. Score 1 point for each correct answer (maximum score: 7) [Lessons 425, 435, 440] 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 426, 442] HOW KIDS LEARN MATH a. DCCCVII b. 990 c. 500 d. 7: IVXLCDM 12. Maximum score: 10. [Lessons 428, 429, 431] 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 430, 433, 434] 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 436] 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 427, 437, 438] 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 439] a: 1915; b: 1942; c: Score 1 point for each correct answer (maximum score: 9) [Lessons 432, 442] 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
6 18. Score 1 point for each correct answer (maximum score: 6) [Lesson 443] a. 189, 246 (other answers are possible) b. 489, 621 (other answers are possible) c. 198, 246 (other answers are possible) d. 829,641 (other answers are possible) e. 189, 246 (other answers are possible) f. 189, 246 (other answers are possible) 19. Score 1 point for each correct answer (maximum score: 6) [Lesson 424] Expression Words Numbers Value Two thousand three (2 x 1,000) + (3 x 1) 2,003 Three thousand two (3 x 1,000) + (2 x 1) 3,002 Nine million four hundred thirtyseven thousand one hundred ninetyfour Twenty million three thousand fourteen (9 x 1,000,000) + (4 x 100,000) + (3 x 10,000) + (7 x 1,000) + (1 x 100) + (9 x 10) + (4 x 1) (20 x 10,000,000) + (3 x 1,000) + (1 x 10) + (4 x 1) 1,437,194 20,003,014 TOTAL SCORE (MAXIMUM 131). 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 #41 ANSWERS Book 4 Test Answers Page 6 ShillerMath All Rights Reserved
7 LESSON 482 REVIEW TEST #42 ANSWERS Grading instructions: compare the answers here to the student s answers. For each correct answer, add the appropriate number of points, which the student may enter, and compute the total score. After the test has been graded, do the lesson(s) for each incorrect response. Now together we will grade your answers. Enter the start time: Enter the finish time: 1. Score 1 point for each correct answer (maximum score: 6) [Lesson 445] a. 550 d. 1,000 b. 1,000 c. 920 e. 4,430 f. 4, Score 1 point for each correct answer (maximum score: 3) [Lessons 446, 447] a. false b. false c. true 3. Score 2 points for each correct answer (maximum score: 6) [Lessons 447, 448] a. 1 point each: 12; 16 b. 2 points for either $15 or $15.00 c. 1 point each: $0.50; Score 2 points for each correct answer (maximum score: 10) [Lessons 449, 450, 451, 452] a. $49.57 d. $1, b. $ e. $1, c. $ Score 2 points for each correct answer (maximum score: 4) [Lesson 453] a. 930 b Score 1 point for each correct answer (maximum score: 3) [Lesson 454] a. 20 b. 200 c Score 2 points for each correct answer (maximum score: 8) [Lesson 455] a. 3 c. 2 b. 3 d. 0 Book 4 Test Answers Page 7 ShillerMath All Rights Reserved
8 8. Score 1 point for each correct answer (maximum score: 8) [Lessons 455, 456, 457] a. ii; b. iii; c. i; d. v; e. vii; f. vi; g. viii; h. x 9. Score 1 point if ALL are correct (maximum score: 1) [Lesson 458] oz ozs lb lbs 10. Score 2 points for each correct answer (maximum score: 10) [Lesson 459] a. 48 d b e. 4 c Score 1 point for each correct answer (maximum score: 2) [Lesson 460] a. ii b. 4 inches 12. Score 1 point for each correct answer (entire row must be correct) (maximum score: 12) [Lessons 461, 462, 463] Expression Number of operations Operators 4 x x x x + 7 x 7 x x x First number Operation Second number Equals Answer Six Addition Three = 9 Six Subtraction Three = 3 Six Multiplication Three = 18 Six Division Three = 2 First number Operand Second number Equals Answer = 9 4 or  2 = = 3 2 x 4 = 8 Book 4 Test Answers Page 8 ShillerMath All Rights Reserved
9 13. Score 2 points for each correct answer (maximum score: 12) [Lessons 464, 465, 467, 478] a. 47 b. 190 c. 294 d. 160 e. 77 f Score 1 point for each correct answer (maximum score: 9) [Lessons 466, 469] 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 468, 470, 471, 472] 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 473] a. number b. true or false c. object 17. Score 1 point for each correct answer (maximum score: 5) [Lessons 471, 474, 475, 476] 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 477, 478] 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 479] Wake up time 9am   8am   7am   6am Day 20. Score 3 points if worked correctly (maximum score: 3) [Lessons 480, 481] 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 #42 ANSWERS Book 4 Test Answers Page 10 ShillerMath All Rights Reserved
11 LESSON REVIEW TEST #43 ANSWERS Grading instructions: compare the answers here to the student s answers. For each correct answer, add the appropriate number of points, which the student may enter, and compute the total score. After the test has been graded, do the lesson(s) for each incorrect response. Now together we will grade your answers. Enter the start time: Enter the finish time: 1. Score 2 points for each correct answer (maximum score: 6) [Lesson 483] a. 7 b. 9 pm c. 9pm 2. Score 1 point for each correct answer (maximum score: 3) [Lessons 484, 485, 486, 487, 489] a. false b. true c. true 3. Score 2 points for each correct answer (maximum score: 6) [Lessons 484, 485, 486, 487, 489] a. 1 b. 5 c Score 1 point for each correct answer (maximum score: 6) [Lesson 488] a. i. 30 minute ii. 47 minutes iii. 14 minutes b. i. 34 minutes ii. 4 minutes iii. 57 minutes 5. Maximum score: 9 [Lessons 490, 491] a. 1 point each i. < ii. > iii. > b. 2 points each. i. 2 ii. 1 iii Score 2 points for each correct answer (maximum score: 6) [Lesson 492] Book 4 Test Answers Page 11 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 493, 494] a. 1 b. 4 c. 1 d Score 1 point for each correct answer (maximum score: 3) [Lesson 495] a. 5 b. 6 c Maximum score: 11 [Lessons 496, 497] 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 498, 4100, 4101, 4102] a. TrueFalse (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 499] The numbers are 8, 4 and Score 1 point for each correct answer (maximum score: 8) [Lessons 4103, 4104] Inches Feet Yards Millimeters Centimeters Meters Score 1 point for each correct answer (maximum score: 8) [Lesson 4105] Seconds Minutes Hours Hours Days Weeks Score 1 point for each correct answer (maximum score: 4) [Lessons 4106, 4108] 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 4107] W O R M O R M R M 1 3 Book 4 Test Answers Page 13 ShillerMath All Rights Reserved
14 M = Score 2 points for each correct answer (maximum score: 8) [Lesson 4109] a. 39 days b. 110 hours c. 107 minutes d. 318 seconds 17. Score 3 points if all answers are correct (maximum score: 3) [Lesson 4110] The multiples of 3 are 30, 33, 36, 39, 42, 45. TOTAL SCORE (MAXIMUM 107). 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 #43 ANSWERS Book 4 Test Answers Page 14 ShillerMath All Rights Reserved
15 LESSON REVIEW TEST #44 ANSWERS Grading instructions: compare the answers here to the student s answers. For each correct answer, add the appropriate number of points, which the student may enter, and compute the total score. After the test has been graded, do the lesson(s) for each incorrect response. Now together we will grade your answers. Enter the start time: Enter the finish time: 1. Score 1 point for each correct answer (maximum score: 4) [Lesson 4112] a. 2 b. 3 c. 5 d Score 2 points for each correct answer (maximum score: 4) [Lessons 4113, 4114] a. 21 b Score 1 point for each correct answer (maximum score: 4) [Lessons 4115, 4116] a. 100 b. 99 c. 81 d Score 1 point for each correct answer (maximum score: 3) [Lessons 4116, 4117] a. thousand b. ten thousand c. million 5. Score 1 point for each correct answer (maximum score: 2) [Lessons 4116, 4117] Number Expression 14, ,000, Score 1 point for each correct answer (maximum score: 7) [Lessons 4119, 4120, 4121, 4122] a. For each number, tell how many thousands it contains. i. 5 ii. 10 iii. 450 iv. 3,000 b. Give the names for the first three powers of ten where the exponent is a multiple of three. Book 4 Test Answers Page 15 ShillerMath All Rights Reserved
16 one thousand, one million, one billion 7. Score 2 points for each correct answer (maximum score: 4) [Lesson 4123] a. 6 x x x x x 10 0 b. 1 x x x Maximum score: 2 [Lesson 4124] The answer is (Maximum score: 10) [Lessons 4125, 4126] 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 4127, 4129, 4130] 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 4131, 4132, 4133] 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 4134, 4135] 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 4136, 4137, 4138] a b. 11,032 c. 85,475 d. 832,785 e. 439, Score 4 points for each correct answer (maximum score: 8) [Lessons 4139] 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 4141] a. false b. true c. true d. false Book 4 Test Answers Page 17 ShillerMath All Rights Reserved
18 16. Score 2 points for each correct answer (maximum score: 8) [Lesson 4118, 4128, 4140] a. nine hundredths b. six thousandths c. four tenths d. iii 17. Score 1 point for each correct answer (maximum score: 5) [Lesson 4142] a. Yes b. No c. No (could have fractional pounds or stones or kilograms) d. Yes e. Yes 18. Score 5 points for the correct answer (maximum score: 5) [Lesson 4143] 5 feet TOTAL SCORE (MAXIMUM 106). 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 #44 ANSWERS Book 4 Test Answers Page 18 ShillerMath All Rights Reserved
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