Book 6 Test Answers

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ¿ À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ LESSON 6-44 REVIEW TEST #6-1 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: ________ ÉÉÉÉÉ¿Ê Å½ËÃÌÍÌ ¶ ±»µ!"Ê #$µ¶¶±¹¶³%&’( ³%&)( ³%&³* a. 1 point each i. 0 ii. 0 iii. 1000 iv. 2b v. 4 b. 1 point for each blank ÉÉÉÉÉ&Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!). #$µ¶¶±¹¶³%’³* 45 × 100 1070 × 10 170 × 100 33 x 100 10 × 10 × 23 450 × 10 107 × 100 17 × 1000 330 × 10 230 × 10 ÉÉÉÉÉ’Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹³%/* a. 18 b. 14 c. 45 ÉÉÉÉÉ0Ê Å½ËÃÌÍÌ ¶ ±»µ!0Ê #$µ¶¶±¹³%&1* ¿¿(222 1(222 0/22 ¿(122 /(222 ’¿22 ¿(&22 ’22 ¿22 )22 &()22 "22 ’(/22

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ& À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ a. 2 points for the correct inequality and 2 points for the correct difference. ’/" × ) 3 //& × 1 //& × " 3 ’/" × ’ If we estimate the left hand side by 400 × 5 + 1000 × 7, we get 2000 + 7000 = 9000. We can estimate the right hand side by 1000 × 8 + 400 × 3 = 8000 + 1200 = 9200. Thus we guess the right side is greater and put < in the box. More precisely, if we subtract 398 × 3 and 992 × 7 from both sides we get 398 × 2 ??? 992 × 1. That would be 796 ??? 992 which has an actual difference of 196. ÉÉÉÉÉ)Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹¶³%&( ³%¿³( ³%¿1* Consider the following 2-D Map. Suppose it were to be folded at right angles on the dotted blue lines. a. cuboid b. 24 c. 52 d. 6 e. 12 f. 8 g. Two would have a perimeter 14, two would have a perimeter of 12, and two would have a perimeter of 10 ÉÉÉÉÉ³Ê Á ±»µ& +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!¿2. #$µ¶¶±¹¶³% ¿&( ³%¿’( ³%¿0* Calculate the area of each of the following plane figures. a. 24 b. 20 c. 15 d. 16 e. 10 ÉÉÉÉÉ1Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹¶³% ’2( ³%’¿* a. ° ± ² ³ ´ <

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ0 À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ÉÉÉÉÉ¿¿Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!0. #$µ¶¶±¹³% &¿* a. 15 b. 16 ÉÉÉÉÉ¿&Ê Á ±»µ’ +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹³% ¿/( ³%&2( ³%&&( ³%&0( ³%&"* a. J + 5 = M J + M = 43 The first equation can be rewritten by subtracting M from both sides. J - M + 5 = 0 J + M = 43 2J + 5 = 43 2J = 38 J = 19 so M = 24 James has 19 gerbils and Mark has 24. b. M = 2T M = R +2 M + T + R = 13 M - 2T = 0 M - R = 2 M + T + R = 13 Adding the second and third equations, we have 2M + T = 15 Multiply both sides by 2 to get 4M + 2T = 30 Add M - 2T = 0 to this to get 5M = 30 so M = 6, T = 3 and R = 4. ÉÉÉÉÉ¿’Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹³%’*

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ) À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ a. b. c. ÉÉÉÉÉ¿0 Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!0. #$µ¶¶±¹¶³% ’’( ³%’0* a. 5 hours b. not enough information. We need to know how fast he rides his bicycle. ÉÉÉÉÉ¿)Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!". #$µ¶¶±¹¶³%0( ³%¿)( ³%’)( ³%02( ³%0’* a. True or False i. false ii. true iii. False iv. False b. Fill in the blanks i. 2 ii. 200 iii. 2,000,000 iv. 353 v. 75 ÉÉÉÉÉ¿³Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!". #$µ¶¶±¹¶³% ³( ³%1( ³%¿2( ³%¿¿( ³%¿"( ³%0&*

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ1 À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ÉÉÉÉÉ¿1Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹¶³% &/( ³%’&( ³%’1* a. b. 600 c. Answers will vary depending on how the lines were drawn. ÉÉÉÉÉ¿"Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·»±º -̽ËÃÌÍÌ ¶ ±»µ!¿2. #$µ¶¶±¹¶³%0¿* 4ÍÌ5µ» 6½ ·±»¶ 7 ±, ,½ ·±»¶ ¼»Ã̵,½ ·±»Ã8½·Ã±¹ ¿& ¿( &( ’( 0( ³( ¿& ³ & 9 & 9 ’ ¿0 ¿( &( 1( ¿0 0 & 9 1 ¿/ ¿( ¿/ & ¼»Ã̵ &2 ¿( &( 0( )( ¿2( &2 ³ & 9 & 9 ) &) ¿( )( &) ’ ) 9 ) &³ ¿( &( ¿’( &³ 0 & 9 ¿’ ’2 ¿( &( ’( )( ³( ¿2( ¿)( ’2 " & 9 ’ 9 ) ’’ ¿( ’( ¿¿( ’’ 0 ’ 9 ¿¿ ’) ¿( )( 1( ’) 0 ) 9 1 ’³ ¿( &( ’( 0( ³( /( ¿&( ¿"( ’³ / & 9 & 9 ’ 9 ’ ÉÉÉÉÉ¿/Ê Å½ËÃÌÍÌ ¶ ±»µ!&Ê #$µ¶¶±¹³%’/* 12 Á·½»· :¹È ÅÍÄ·Ã+ĵ¶±,& ;ÃÇöÃ5ĵ5<’ 6±»½ÄÄù·µ¾µ»¶ ° ¶Í ·½·¿222 = ° = ¿2¿2 4µÃ·Âµ» ¿220 ¿22³ ¿22& ¿22) ¿22" ¿22¿ ¿22’ ¿221 ¿22/

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ" À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ÉÉÉÉÉ&2Ê Å½ËÃÌÍÌ ¶ ±»µ!’Ê #$µ¶¶±¹³%’"* On the planet of Tertia, they have a different way of telling time: Their clocks look like this: 1 hour after midnight it is 1 o’clock. One hour later it will be 2 o’clock. Another hour later it will be 3 o’clock. And one more hour later it will be 1 o’clock again. You may complete this table: 7 ±,µÄ½+¶µÈ±ͻ¶ >? ı ² ¿ ¿ & & ’ ’ 0 ¿ ) & ³ ’ 1 ¿ " & / ’ ¿2 ¿ ¿¿ & ¿& ’ ¿’ ¿ ________ TOTAL SCORE (MAXIMUM 118). 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 http://www.shillermath.com. END OF REVIEW TEST #6-1 ANSWERS ¿ & ’

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ¿2 À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ 12 3 6 9 10 11 1 2 4 5 7 8 ÉÉÉÉÉ1Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹¶³% )2( ³%)0* i. 2 hours ii. 3/8 iii. 3 1 2 2 typing filing phone customers ÉÉÉÉÉ"Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!0. #$µ¶¶±¹¶³% ))( ³%)1* i. ii. 9 ÉÉÉÉÉ/Ê Å½ËÃÌÍÌ ¶ ±»µ!¿& #$µ¶¶±¹¶³%)"( ³%³&( ³%³’( ³%³0( ³%³³* A. Score 2 points for each correct answer. i. 3 miles ii. 10 a.m. to 1 p.m. iii. 8 miles iv. 3 miles B. Score 1 point for each correct answer.

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ¿¿ À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ÉÉÉÉÉ¿2Ê Å½ËÃÌÍÌ ¶ ±»µ!) #$µ¶¶±¹¶³%1"( ³%1/( ³%"2* A. Score 3 points if worked correctly. B. Score 2 points if worked correctly. 75 feet ÉÉÉÉÉ¿¿Ê ŽËÃÌÍÌ ¶ ±»µ!’ #$µ¶¶±¹³%"¿* Possible arrangements Democrats Republicans Men Women Men Women 2 0 1 3 1 1 2 2 0 2 3 1 ÉÉÉÉÉ¿&Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!". #$µ¶¶±¹¶³% ³1( ³%1)( ³%1³* i. hexagon ii. cylinder iii. 30 iv. 60 ÉÉÉÉÉ¿’Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!). #$µ¶¶±¹¶³% 0)( ³%³/( ³%1’( ³%")* i. True ii. False iii. False iv. True v. True Q

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ¿’ À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ iv. v. Draw the set of all points equidistant from lines j and k. j k

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ¿0 À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ÉÉÉÉÉ¿³Ê ŽËÃÌÍÌ ¶ ±»µ!’ #$µ¶¶±¹³%"³* ________ 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.” “Congratulations! You have finished this review test, which is a great 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 http://www.shillermath.com. END OF REVIEW TEST #6-2 ANSWERS chair chair

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ¿³ À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ÉÉÉÉÉ³Ê Å½ËÃÌÍÌ ¶ ±»µ!0 #$µ¶¶±¹³%/’* Player Points Ebenezer 10 Willie 13 Samson 7 Edgar 10 ÉÉÉÉÉ1Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!¿2. #$µ¶¶±¹¶³% /"( ³%¿2¿( ³%¿¿¿( ³%¿¿"( ³%¿¿/( ³%¿&/* i. False ii. True iii. True iv. false v. True vi. False vii. True viii. True ix. True x. True ÉÉÉÉÉ"Ê Å½ËÃÌÍÌ ¶ ±»µ!) #$µ¶¶±¹¶³%¿2)* 36 ÉÉÉÉÉ/Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!). #$µ¶¶±¹¶³%/³( ³%/1( ³%//( ³%¿22* A. i. No ii. Yes B. i. No ii. Yes C. True

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ¿1 À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ÉÉÉÉÉ¿2Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹¶³% ¿¿³( ³%¿&0* A. i. 6’ ii. 3’ B. i. 8 dozen ii. 13 dozen C. i. 1 liter ii. 5 kg ÉÉÉÉÉ¿¿Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!". #$µ¶¶±¹¶³% ¿21( ³%¿2"( ³%¿2/( ³%¿¿&( ³%¿¿’* A. i. 1/2 ii. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 iii. 1/3 iv. 1 B. i. False ii. False C i. ii. 1/4 ÉÉÉÉÉ¿&Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹³% /0* i. Willie Mays, 110 ii. Barry Bonds, 5 iii. 380 (note that the answer might be a little different if the student has trouble telling exactly what the heights are) ÉÉÉÉÉ¿’Ê Á ±»µ¿ +±Ã¹·,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!³. #$µ¶¶±¹¶³% /¿( ³%¿2³( ³%¿¿2( ³%¿¿1( ³%¿&¿* i. False ii. True iii. True iv. True v. True vi. False ÉÉÉÉÉ¿0Ê Å½ËÃÌÍÌ ¶ ±»µ!0 #$µ¶¶±¹³%/)*

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ¿/ À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ii. Score 1 point for each correct answer. (Note: there are additional valid ways for A and B.) ÉÉÉÉÉ¿1Ê Á ±»µ& +±Ã¹·¶,±»µ½  ±»»µ ·½¹¶ºµ»-̽ËÃÌÍÌ ¶ ±»µ!". #$µ¶¶±¹³% ¿&&( ³%¿&)* A. i. about 1.5 inches ii. The circumference of the whole circle would be 2 π so this would be 2 π divided by 4, or about 1.57 inches long. B. i. ii. it is a square 1" 2" 2" 1" A - yes B - yes C - yes D - no

HOW KIDS LEARN MATH ShillerMath Book 6 Test Answers °±±²³ ´µ¶·¸¹¶ºµ»¶ ¼½¾µ&2 À ÁÂÃÄĵ»Å½·Â¸ÄÄÆþ·¶Æµ¶µ»ÇµÈ ________ TOTAL SCORE (MAXIMUM 109). 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.” “Congratulations! You have finished this review test, which is a great 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 http://www.shillermath.com. END OF REVIEW TEST #6-3 ANSWERS