DIVINE BUDS ENGLISH SCHOOL Maninagar , Ahmedabad. Std. - 3 Maths Worksheet SA - 1 course and paper style Course :- Le – 1, 4, 6, 10, 15 Paper style PART - A [20] Q-1 Multiple Choice Questions. [ MCQ’s ] PART - B Section - A Q-2 Multiply Sums. Q-3 Add/Sub Sums of length. Q-4 Write the Successor/Predecessor. Q.5 Complete the number pattern. Q.6 Write the fractional no./shade the fraction no. Q.7 Write the Ascending / Descending order. Q.8 Write the expanded/short form. Section - B Q-9 Convert Km-m to m. Q-10 Add/Sub Sums of fraction. Q-11 Write the Roman Nos. / Hindu – Arabic Nos.. Q.12 Draw lines of Symmetry. Q.13 Convert m-cm into m. Q.14 Dodging Tables. [1] [30] Section - C Q-15 Solve the following sums ( L - 10 & L - 4 ) Lesson – 1 : Numbers Let us recall : 1, 2, 3, 4, 5, 6, 7, 8, 9 and 0 are the ten symbols (digits) used for writing the counting numbers. Exercise – 1A (Review Exercise) Q.1 A. Write the names for the following numbers OR Number name 1) 394 2) 936 3) 1000 4) 754 5) 999 B. Write the following numbers in figures:Example: 1. Two hundred forty six = 246. 2. Hundred =__________. 3. Five hundred ninety eight =___________. 4. Nine hundred seventy two =___________. 5. Four hundred forty four =_____________. C. Write the number: Example: 1. 6 hundreds, 0 tens, 9 ones = 609. 2. 9 hundreds, 3 tens, 4 ones =__________. 3. 3 hundreds, 8 tens, 0 ones =__________. 4. 4 hundreds, 6 tens, 7 ones =__________. 5. 5 hundreds, 7 tens, 3 ones =__________. D. Observe the pattern and fill in the blanks :1. 134, 144, 154, 164, 174, 184. 2. 10, 12, 14, __________, __________, __________. 3. 145, 150, 155, __________, __________, __________. 4. 212, 215, 215, __________, __________, __________. 5. 210, 220, 230, __________, __________, __________. [2] E. Write the: 1. Smallest one digit number =___________. 2. Greatest two digit number =___________. 3. Smallest three digit number =___________. 4. Greatest three digit number =___________. 5. Smallest two digit number =___________. F. Write the greatest number: 1. 408, 492, 419, 149, 141 = _____________. 2. 929, 299, 909, 999, 109 = _____________. 3. 842, 248, 843, 482, 938 = _____________. 4. 110, 1010, 1110, 1001, 1011 = _____________. G. Write the smallest number: 1. 942, 294, 492, 249 = _____________. 2. 121, 211, 212, 201 =_____________. 3. 808, 611, 341, 999 =_____________. 4. 456, 564, 464, 675 =_____________. H. Arrange in ascending (increasing) order: 1. 946, 991, 925, 996, 932 Ans :____________________________________________________ 2. 101, 921, 121, 222, 446 Ans :____________________________________________________ 3. 694, 476, 467, 764, 647 Ans :____________________________________________________ [3] 4. 342, 432, 431, 643, 748 Ans :____________________________________________________ I. Arrange the following numbers in descending (decreasing order) 1. 501, 506, 505, 502, 504 Ans :____________________________________________________ 2. 414, 141, 411, 114, 441 Ans :____________________________________________________ 3. 814, 418, 184, 144, 841 Ans :____________________________________________________ 4. 188, 546, 365, 218, 118 Ans :____________________________________________________ Answer key Exercise 1 A Q1. A 1. Three hundred ninety four 2. Nine hundred thirty six 3. One thousand 4. Seven hundred fifty four 5. Nine hundred ninety nine B. 1) 246 2) 100 3) 598 4) 972 5) 444 C. 1) 609 4) 467 5) 573 2)934 D. 1) 164, 174, 184 4) 221, 224, 227 3) 380 2) 16, 18, 20 5) 240, 250, 260 3) 160, 165, 170 E. 1) 1 2) 99 3) 100 4) 999 F. 1) 141 2) 999 3) 938 4) 1110 [4] 5) 10 G. 1) 249 2) 121 3) 341 4) 456 H. 1) 925, 932, 946, 991, 996 3) 467, 476, 647, 674, 764 2) 101, 121, 222, 446, 921 4) 342, 431, 432, 643, 748 I. 1) 506, 505, 504, 502, 501 3) 841, 814, 418, 184, 144 2) 441, 414, 411, 141, 114 4) 546, 365, 218, 188, 118 4 and 5 digit numbers Things to remember: Smallest Greatest number number One 1 9 digit Two 10 99 digit Three 100 999 digit Four 1000 9999 digit Five 10000 99999 digit The digit at tens and once place are read together. The digit at tens thousands and thousand places are read together Example: T – Th Th H T O 9 4 6 2 4 Here, we read number as, ‘Ninety four thousand six hundred twenty four’. For reading a number, we start from the extreme left. [5] Exercise – 1B (A) Fill in the blanks: Examples: 1. In 36402, 4 is at hundreds place. 2. In 8424, 8 is _______________at place. 3. In 4963, 3 is _______________at place. 4. In 98,432, 9 is _______________ at place. 5. In 4038, 3 is _______________at place. (B) Fill in the blanks: 1. 96,048 means, ___________ ten- thousands, ___________ thousands, ___________ hundreds, ___________ tens, ___________ ones. 2. 5092= _____ thousands, _____ hundreds, _____ tens, _____ ones. 3. 2342= _____ thousands, _____ hundreds, _____ tens, _____ ones. (C) Fill the following numbers in the place- value chart. Examples. 1) Th 4 H T O 9 3 0 4930 2) 36,421 T-TH TH H T 3) 94,048 [6] O T-TH TH H T O 4) 5431 TH H H T T O 5) 346 O (D) Write the following numbers in words. 1. 9099 – Nine thousands ninety one. 2. 54,294 – ___________________________________________ __________________________________________________ __________________________________________________. 3. 99,999 –___________________________________________ __________________________________________________ __________________________________________________. 4. 92,468 – ___________________________________________ __________________________________________________ __________________________________________________. 5. 14,225 –___________________________________________ __________________________________________________ __________________________________________________. (E) Write the following numbers in the figures. 1. Three hundred five ______________. 2. Ninety- nine thousands six hundred forty one ______________. [7] 3. Fifty six thousand eight hundred one ______________. 4. Ninety nine thousand one ______________. 5. Forty thousand seven hundred fifty two ______________. (F) Observe the pattern and fill in the blanks: 1. 356, 358, 360, __________, __________,__________. 2. 34724, 34734, 34744, __________, __________,__________. 3. 2618, 2619, 2620, __________, __________,__________. 4. 94110, 9415, 9420, __________, __________,__________. 5. 5704, 5708, 5712, __________, __________,__________. (G) Counting by fives, write the numbers form: 1. 3405 to 3430 – 3405, 3410, 3415, 3420, 3425. 2. 7335 to 7360 – ______________________________________ . 3. 25695 to 25720 –_____________________________________. 4. 3150 to 3175 –________________________________________. 5. 1014 to 1039 – ______________________________________ . (H) Skip counting by hundreds (100s). 1. 8188 to 8488 –_________, _________, _________. 2. 98423 to 98723 –_________, _________, _________. 3. 24725 to 25720 –_________, _________, _________. 4. 94931 to 95231 – _________, _________, _________. Answer Key 1. hundreds 4. ten-thousands 2. thousands 5. Ten [8] 3. Ones 1. 9,6,0,4,8 2. 2,3,4,2 2. T-TH TH H T O 3 6 4 2 1 3. T-TH TH H T O 9 4 0 4 8 4. TH H T O 5 4 3 1 5. H T O 3 4 6 B. 2. 3. 4. 5. Fifty four thousand two hundred ninety four. Ninety nine thousand nine hundred ninety nine. Ninety two thousand four hundred sixty eight. Fourteen thousand two hundred twenty five. C. 1. 305 2. 99641 D. 1. 362, 364, 366 3. 2621, 2622,2623 5. 5716, 5720, 5724. E. 2. 3. 4. 5. F. 1. 2. 3. 4. 3. 5,0,9,2 3. 56801 4. 99001 2. 34754, 34764, 34774 4. 9425, 9430, 9435 7335, 7340, 7345, 7350, 7355, 7360. 25695, 25700, 25705, 25710, 25715, 25720. 3150, 3155, 3160, 3165, 3170, 3175. 1014, 1019, 1024, 1029, 1034, 1039 8188, 8288, 8388, 8488. 98423, 98523, 98623, 98723. 24725, 24825, 24925, 25025. 94931, 95031, 95131, 95231. [9] 5. 40752 Things to remember: Face value (FV) of a digit in a number: The face value of a digit in a number is the value of the digit itself at whatever place it may be. Example : The face value of 5 in 3529 is 5. Place value (PV) of a digit in a number : The place value of a digit in a number depends upon its position in the place value chart. Example : Consider the number 4692. Arrange its digit in the place value – chart TH H T O 4 6 9 2 The digit 2 is at ones place, so its place value is 2 ones = 2*1 = 2 In the same way(according to the place value chart) (PV) 9*10 = 90 6*100 = 600 4*1000 = 4000 The pace-value of 0 is always 0, wherever it may be. Expanded form: To express a number as the sum of the place value of its digit is called its expanded form. Example:5324 4 ones =4*1= 6 2 tens =2*10 =20 3 hundreds =3*100 = 300 5 thousands =5*1000 = 5000 Thus, 5324 = 5000 + 300 + 20 + 4 Thus, the expanded form of 5234 is 5000 + 300 + 20 + 4 Short form Example : 60000 + 9000 + 500 + 30 + 2 = 6*10000 + 9*1000 + 5*100 + 3*10 + 2*1 [10] = 6 ten thousands + 9 thousands + 5 hundred + 3 tens + 2 ones = 69532 Exercise – 1C A) Write the face value of : (F.V) Example: 1) 7 in 7325 = 7 2) 8 in 2986 = ____________. 3) 1 in 14330 = ____________. 4) 0 in 10286 =____________. 5) 3 in 3462 =_____________. 6) 9 in 12349 =____________. B) Ring the number with: 1) 4 in ones place 4328, 9302, 3014, 6403, 1024 2) 8 in tens place 2486, 9448, 9463, 8423, 1286 3) 1 in hundreds place 1100, 9910, 2391, 2102, 986 4) 3 in thousands place 11326, 20311, 13400, 908, 3941 5) 4 in ten thousand place 40926, 94692, 34123, 69341, 48923 B) Write the place–value of the digits Example: 1) 9 4 3 2 2 [11] 30 400 9000 2) 96431 3) 40360 4) 24318 5) 4862 6) 94201 D) Write the numbers Example 1 6943 3 40 900 6000 2)________ 3 90 400 1000 3) ________ 4) ________ 1 4 0 30 300 400 0 9000 70000 E) Write the place- value (P.V) of the following. 1) Write the place – value of 9 in 90325 = 90,000 2) Write the place – value of 6 in 10061 = ________ 3) Write the place – value of 1 in 10804 = ________ 4) Write the place – value of 4 in 34028 = ________ 5) Write the place – value of 2 in 84312 = ________ F) Write the following number in expanded form: [12] Example: 1)3490 5) 4280 2) 48926 6) 9813 3) 69432 7) 30138 4) 92846 8) 4321 G) Write the following numbers in short form. Example: 1) 3000 + 600 + 20 + 3 = 3623. 2) 9000 + 800 + 10 + 0 = _______________. 3) 300 + 0 + 1= _______________. 4) 10000 + 3000 + 400 +30 + 8= _______________. 5) 90000 + 4000 + 0 + 80 + 2 = _______________. 6) 900 + 20 + 1= _______________. 7) 4000 + 300 + 20 + 1= _______________. 8) 60000 + 400 + 0 + 0= _______________. 9) 90000 + 3000 + 800 + 90 + 8 = _______________. H) Write the number in which: 1) 3 is in ones place, 4 is in ten thousands place, 0 is in tens place, 9 is in thousands place and 6 is in hundreds place = __________________. 2) 5 is in ten thousands place, 8 is in tens place, 0 is in ones place, 4 is in hundred place and 3 is in thousand place = __________________. Answer key Exercise 1C A) 1) 7 2) 8 3) 1 4) 0 5) 3 6) 9 B) 1) 3014, 1024 2) 2486, 1286 3) 1100, 2102 4) 13400 5) 40926, 48923 C) 2) 9- 90000 6- 6000 4- 400 3- 30 1- 1 3) 4- 40000 0- 0 3- 300 6- 60 0- 0 4) 2- 20000 4- 4000 3- 300 1- 10 8- 8 [13] 5) 4- 4000 8- 800 6- 60 2- 2 6) 9- 90000 4- 400 2- 20 0- 0 1- 1 D) 1) 6943 2) 1493 3) 70301 4) 9434 E) 1) 90000 2) 60 3) 10000 4) 4000 5) 2 F) 1) 3000 + 400 + 90 + 0 5) 4000 + 200 + 8 + 0 2) 40000 + 8000 + 900 + 6) 9000 + 800 + 10 + 3 20 + 6 7) 30000 + 0 + 100 + 30 + 3) 60000 + 9000 + 400 + 8 30 + 2 8) 4000 + 300 + 20 + 1 4) 90000 + 2000 + 800 + 40 + 6 G) 1) 3623 2) 9810 3) 301 4) 13438 5) 94082 6) 921 7) 4321 8) 60400 9) 93898 H) 1) 49603 2) 53480 ---------------------------------------------------------------------------------Things to remember: Order of Numbers: Ascending order : Number in ascending order means the number from smallest to greatest. Example: 345, 435, 434, 534, 343 Ans: 343, 345, 434, 435, 534 Descending order : Numbers in descending order means the numbers from greatest to smallest. Example: 989, 899, 988, 809, 999 Ans : 999, 989, 988, 899, 809 Successor of a number : The number that comes just after a given number is called its Successor clearly, the successor of a number is 1 more than the number. Example: The successor of 539 is 539 + 1 = 540 Here, 540 is 1 successor of 539 Predecessor of a number : The number that comes just before a given number is called if predecessor, clearly the predecessor of a number is 1 less than the number. [14] Example : A) The predecessor of 38 = 38 – 1 = 37 B) The predecessor of 9999 – 1 = 9998 Comparison of numbers: Case – I : When the two numbers have different number of digits. Example: Compare 34928 and 3926 Here 34928 has 5 digits and 3926 has 4 digits Thus 34928 > 3926 or 3926 < 34928 Case – II When the two numbers have the same number of digits: To compare such numbers, we proceed as follows. Example Rule 1 :While comparing 4 digit numbers, the number with the greater digit in the thousand place is greater. Example: Compare numbers 7329 and 4846 TH H T O 7 3 2 9 4 8 4 6 At thousands place, 7 > 4. So, 7329 > 4846 Rule 2 :If the numbers at the thousands place are same, then compare the numbers in the hundreds place. Example: Compare number 3143 and 3256 TH H T O 3 1 4 3 3 2 5 6 At hundreds place, 1 < 2 .So, 3143 < 3256 Rule 3 :If the numbers at the thousands and hundreds places are same, then compare those numbers in the tens place. Example: Compare number 5886 and 5872 [15] TH H T O 5 8 8 6 5 8 7 2 At tens place, 8 > 7 .So, 5886 > 5872 We read it as “5886” is greater than “5872” Exercise – 1D A. Compare the numbers and put >, = or < in the blanks: 1. 3925 ___<_____ 5290 2. 1039 _________ 1093 3. 35021 _________ 35021 4. 58326 _________ 85286 5. 6494 _________ 934 6. 349 7. 9999 _________ 99999 8. 22121 _________ 21221 9. 3824 _________ 3824 10. 60324 _________ 42306 _________ 3490 B. Arrange the following numbers in ascending order (From smallest to greatest no) 1. 4032, 9342, 9322, 3342 3. 9138, 4391, 1334, 9914 5. 10239, 11239, 19325, 90325 2. 8234, 4789, 1885, 5183 4. 9589, 9959, 5889, 9005 6. 99099, 92929, 29909, 99999 C. Arrange the following numbers in descending order (From greatest to smallest no) [16] 1. 90346, 45392, 92459, 34492 2. 4395, 435, 5349, 4935 3. 84932, 93432, 94832, 74942 4. 39421, 54322, 94346, 42349 5. 9992, 9292, 9813, 9998 6. 1010, 1110, 1120, 1012 D. Encircle the greatest number in each collection. Eg. 1. 9432, 4329, 3294, 2943 2. 8329, 9999, 4396, 3942 3. 4326, 4324, 9432, 6431 4. 3436, 6294, 9998, 9496 5. 46298, 2589, 1624, 9398 6. 68128, 68218, 68182, 68188 E. Encircle the smallest number in each collection. Eg. 1. 7342, 7432, 7324, 7442 2. 83540, 4298, 9824, 89426 3. 3946, 4934, 3428, 3848 4. 3216, 6213, 2136, 3621 5. 9992, 9292, 9813, 9998 6. 1010, 1110, 1120, 1012 F. Write the successor of (means add 1) Eg. 1. 138 139 2. 1,038 _______________ 3. 9,436 _______________ 4. 48,992 ______________ 5. 9,999 _______________ 6. 1,012 ________________ 7. 50,900 _______________ [17] 8. 3,924 ________________ 9. 94,329 _______________ G. Write the predecessor of (means subtract 1) Eg. 1. 10 ______9_____ 2. 8,342 ___________ 3. 4,396 ___________ 4. 1,000 ___________ 5. 4,298 ___________ 6. 10,000 ___________ 7. 982 ___________ 8. 4,348 ___________ 9. 5,000 ___________ Answer key A. 1) < 2) < 3) = 4) > 6) < 7) < 8) > 9) = B. 1) 3342, 4032, 9322, 9342 2) 1885, 4789, 5183, 5183, 8234 3) 1334, 4391, 9138, 9914. 4) 5889, 9005, 9589, 9959 C. 1) 92459, 90346, 45392, 34492 2) 5349, 4935, 4395, 435 3) 94832, 93432, 84932, 74942 4) 94346, 54322, 42349, 30421 5) 4321, 3432, 2341, 1234 6) 60320, 32062, 28932, 23624 D. 1) 9432 2) 9999 3) 9432 4) 9998 [18] 5) > 10) > 5) 46298 6) 68218 E. F. G. 1) 7324 2) 4298 6) 1010 1) 139 2) 1039 5) 10000 6) 1013 1) 9 2) 8341 6) 9999 7) 981 3) 3428 3) 9437 7) 50901 3) 4395 8) 4347 4) 2136 4) 48993 8) 3925 4) 999 9) 4999 5) 9292 5) 4297 Things to Remember: 1. Even Numbers: All those numbers which can be put into groups of twos are called even numbers. Eg. 2, 4, 6, 8, 10, 12, 20 etc. are even numbers. 2. Odd Numbers: All those numbers which cannot be put into pairs are called odd numbers. Eg. 1, 3, 5, 7, 9, 11, 15, 25etc. are odd numbers. The first even number is 2 The first odd number is 1 When 2 is added or subtracted from an even number (except 2), the result is an even number. Suppose, 4 - 2 = 2 (even no) When 2 is added or subtracted from an odd number (Except-1), the result is an odd number. Eg. 5 – 2 = 3 (odd no) A number which is not even is odd. Exercise – 1E A Tick () the even numbers and ring the odd numbers. 9 5 6 120 111 303 110 124 129 360 141 399 402 364 B Write the even number just after: 84 _______________ 30 _______________ 102 _______________ 112 _______________ 246 _______________ 998 _______________ 740 _______________ 634 _______________ [19] 556________________ C Write the odd number just before: __________________ 39 __________________ 37 __________________ 111 __________________ 347 __________________ 973 __________________ 475 __________________ 169 __________________ 149 __________________ 363 [20] Answer key A) Even numbers 6, 120, 110, 124, 360, 402, 364. Odd numbers 9, 5, 111, 303, 129, 141, 399 B) 1. 86 2. 32 3. 104 4. 114 5) 248 6. 1000 7. 742 8. 636 9. 558 C) 1. 37 2. 135 3. 105 4. 345 5) 971 6. 473 7. 167 8. 147 9. 361 Review Exercise A) Write the following number in figures 1. Three thousand twenty one. _______________________________ 2. Nine hundred ninety two _________________________________ 3. Forty one ________________________________ B) Write the following numbers in words 1. 3942 2. 7096 3. 9421 4. 1039 C) Counting by tens write the number from 1. 4225 to 4275 2. 3642 to 3692 D) In each of the following write the place-value (P.V.) of 3. 1. 3926 2. 4391 3. 4983 4. 2730 E) Write the following numbers in the expanded form. 1. 78062 2. 9278 3. 43010 4. 94362 F) Write the short form of 1. 9000 + 200 + 10 + 3 = _____________________. 2. 80,000 + 3000 + 200 + 30 + 6 = ___________________. 3. 50,000 + 3000 + 200 + 30 + 6 = ___________________. 4. 20,000 + 9000+ 800 + 70 +4 = __________________. G) Use the symbols > , = , < to compare the following pares of numbers 1. 39428 ________ 39629 2. 492 ________ 4920 [21] 3. 15096 ________ 15096 4. 2994 ________ 20994 5. 33,994 ________ 9394 6. 34,926 ________ 34926 H) Write the successor of (means +1) 1. 3942 ________ 2. 10021 ___________ 3. 9990 _________ 4. 90906 ___________ I) Write the predecessor of (means -1) 1. 3900 __________ 2. 28999 ___________ 3. 15266 _________ 4. 10000 ____________ J) Answer the following. 1. Write the successor of the greatest 3- digit number. 2. Write the predecessor of the greatest 4 digit number. 3. Write the place-value (P.V.) of 0 in 98301. 4. Write the face-value (F.V.) of 3 in 39468. Answer key A. 1) 3021 2) 992 3) 41 B. 1) Three thousand nine hundred forty two. 2) Seven thousand ninety six. 3) Nine thousand twenty one. 4) One thousand thirty nine. C. 1) 4225, 4235, 4245, 4255, 4265, 4275 2) 3642, 3652, 3662, 3672, 3682, 3692 D. 1) 3000 2) 300 3) 3 4) 30 E. 1) 70,000+8000+0+60+2 2) 9000+200+70+8 3) 40000+3000+0+10+0 4) 90000+4000+300+60+2 F. 1) 9213 2) 85091 3) 53236 4) 29874 G. 1) < 2) < 3) = 4) < 5) > 6) = H. 1) 3943 2) 10022 3) 9991 4) 90907 I. 1) 3899 2) 28998 3) 15265 4) 10006 J. 1) 1000 2) 9998 3) 0 4) 3 Multiple Choice Questions [MCQ] [22] 1. Seven hundred eighty four is written in figures as a) 874 b) 784 c) 478 d) 7084 2. Which one is the successor of the greatest 4 digit number a) 9999 b) 999 c) 10000 d) 100000 3. Which is the predecessor of the smallest 4 digit number. a) 999 b) 9999 c) 10000 d) 1000 4. What is the place=value of 7 in 3714 a) 7000 b) 7 c) 700 d) 0 5. Write short form of 90000+7000+200+30+4 a) 97324 b) 97432 c) 97214 d) 97234 6. Which is the correct expanded form of 9248 a) 2000+900+80+4 b) 4000+80+900+2 c) 9000+200+40+8 d) 8000+400+20+9 7. Write the proper sign in 27324 _____27234 a) > b) < c) = d) None 8. The first even number is ______________ a) 0 b) 2 c) 1 d) None 9. When 2 is added or subtracted from an odd number (except 1), the result is an ____________________number . a) Whole number b) odd number c) even number d) bad number 10. A number which is not even is _________________ a) odd b) even c) Predecessor d) Successor 11. When 2 is added or subtracted from an _____________ (except 2), the result is an even number . a) even number b) odd number c) good number d) whole number 12. The first odd no is _________________ a) 0 b) 1 c) 2 d) 101 13. The difference between the place-value and face-value of digit 5 in 5896 is a) 9945 b) 4995 c) 5994 d) 4990 14. Which one of the following has smallest face-value at thousand place? a) 218 b) 1382 c) 4812 d) 1115 [23] 15. 9875,9785, 9858, 9578 are written a) in ascending order b) in descending order c) using skip counting d) using expanded form 16. The predecessor of 9800 is a) 9801 b) 9800 c) 9799 d) 9900 17. If the digits at thousand place in two 4 digit numbers are the same, we then compare them by taking the a) tens place b) hundreds place c) ones place d) can’t be compared Answer key (M.C.Q’s.) 1. 2. 3. 4. 5. 6. 7. 8. 9. b 784 10. a odd c 10000 11. a even number a 999 12. b 1 c 700 13. b 4995 d 97234 14. d 1115 c 9000+200+40+8 15. b in descending order a > 16. c 9799 b 2 17. b hundreds place b odd number -------------------------------------------------------------------------- [24] Le - 4 Multiplication * Points to Remember. 1) 2) 3) 4) Multiplication is repeated addition. The number to be multiplied is called multiplicand. The number by which we multiply is called multiplier. The result we obtain after multiplication is called the product. for e.g. 6 3 → Multiplicand x 2 → Multiplier 1 2 6 → Product. Multiplicative property of 1:When we multiply any number by 1 the product is the number itself. for e.g. 3 x 1 = 3 Multiplicative property of 0:When we multiply any number by 0 the product is 0 for e.g. 4 x 0 = 0 Multiplication by 10 , 100 and 1000 :To multiply a given number by 10 , insert a zero to the right of given no. for e.g. 1 x 10 = 10 5) 6) 7) 8) To multiply a given number by 100 insert two zero’s to the right of given no. for e.g. 1 x 100 = 100 To multiply a given number by 1000 insert three zero’s to the right of given no. for e.g. 1 x 1000 = 1000 Properties of multiplication order property :If we change the order of the no. the product remains the same. for e.g. 4 x 8 = 32 8 x 4 = 32 [25] * EXERCISE 4A. - Fill in the blanks :- 1) 2) 3) 4) 5) 7 8 9 7 5 * EXERCISE 4B. - Multiply :- 1) 4 7 x 3 1 4 1 4) x x x x x = = = = = 1 8 4 x 7) 9 8 6 7 4 6) 7) 8) 9) 10) 2) 9 x 5) 0 6 1 2 6 3 4 x 1 2 5 2 6 + 26 3 0 3 15 6 7 6 9 0 x 1 1 Dodging table. 8) 9 0 8 x 3 3 [26] 7 x 6 x 9 x 12 x 12 x 8 7 3 4 7 = = = = = 3) 6) 4 x 1 5 3 2 x 4 2 * EXERCISE 4D. - Find the product :- 1) 2) 3) 4) 5) 30 x 65 x 347 x 22 x 7 x * EXERCISE 4C. - Multiply :- 1) A. 36 x 48 2) A. 66 x 23 3) A. 43 x 56 4) A. 75 x 18 5) A. 38 x 7 6) A. 84 x 9 7) A. 73 x 36 8) A. 92 x 17 9) A. 227 x 3 10 = 10 = 100= 50 = 90 = 6) 7) 8) 9) 10) [27] 20 8 16 26 28 x x x x x 100 = 400 = 100 = 10 = 100 = 10) 417 x 5 A. * 11) 234 x 7 A. 12) 105 x 3 A. EXERCISE 4F. Using the properties of multiplication fill in the blanks :1) 2) 3) 4) 5) 6) 7) 8) 216 x 12 = 12 x 18 x 1 = x 18 130 x = 0 x 10 = 5030 33 x 100 = 149 x 35 = x 149 3 + 3 + 3 + 3 = 10 + 10 + 10 = * EXERCISE 4E. - Multiply Sums :- 1) T m 3 x O 4 6 2) T m 4 x [28] O 5 5 = = 3) T m 8 x O 4 9 4) T m 6 O T m 4 O 5 8 H m 2 x 6 4 3 x 7) T O 8) T O 9) T O 3 2 6 4 X 3 1 5 9 x 5 2 4 3 x x 5) 6) H T m 0 O 8 3 10) H T O 11) H T O 12) H T O 4 x 0 2 0 3 7 x 3 4 2 5 9 x 3 4 0 3 M.C.Q’s 1) 2) 3) Nine fives are a) 35 b) 30 c) 45 d) How many eyes of eight boys ? a) 61 b) 16 c) 12 d) The number to be multiplied is called a) Product b) multiplier c) Multiplicand d) none [29] 40 15 4) The result we obtain after multiplication is a) sum b) product c) difference d) a & c 5) Multiplication is repeated a) addition b) subtraction c) division 6) 75 x 100 = a) 75 b) 750 c) 75000 d) 7) 6 + 6 + 6 + 6 + 6 + 6 = a) 60 b) 30 c) 42 d) 8) 8 x 7 = a) 46 b) 63 c) 56 d) 9) 32 x = 320 a) 100 b) 10 c) 1 d) 10) 82 x 0 = a) 82 b) 0 c) 820 d) 11) How many tails of seven cows ? a) 14 b) 7 c) 28 d) 12) The number by which we multiply is called a) multiplicand b) multiplier c) addition d) none * d) 7500 36 48 1000 none a &b Answer of M.C.Q. 1) 5) 9) c a b 2) B 6) D 10) B 3) c 7) d 11) b [30] none 4) b 8) c 12) b * EXERCISE 4G. - 1) Jay pasted 12 stamps on each page of his book. If he used 32 pages. How many stamps did he paste ? Solve Problem :- Ans. 2) There are 165 mangoes in a box , then how many mangoes will be there in 4 such boxes ? Ans. 3) Price of a chair is 120 rupees , then what will be the prize of 6 such chairs ? Ans. 4) There are 92 pages in a note-book. How many pages will be there in 7 such notebooks ? Ans. [31] 5) There are 2 fans in classroom. How many fans will be there in 9 such classes ? Ans. 6) 72 people can sit in one train compartment. How many people are there in a train with 15 such compartments ? Ans. ANSWER SHEET. * Exercise - 4A. 1) 6) 63 2) 56 7) * Exercise - 4B. 1) 5) 141 3156 * Exercise - 4C. 1) 6) 300 2) 2000 * Exercise - 4D. 1) 5) 9) 1728 266 681 64 3) 42 8) 2) 6) 54 4) 27 9) 540 13,608 3) 7) 650 3) 34,700 7) 3200 8) 2) 1518 6) 756 10) 2085 49 5) 20 48 10) 84 205 7590 4) 1100 1600 9) 3) 2408 7) 2628 11) 1638 [32] 4) 8) 1288 29,964 5) 630 260 10) 2800 4) 1350 8) 1564 12) 315 * Exercise - 4E. 1) 5) 216 3300 * Exercise - 4F. 1) 5) 9) 204 984 1242 * Exercise - 4G. 1) 4) 384 stamps 644 pages 2) 6) 1 35 3) 7) 2) 225 6) 924 10) 9200 2) 5) 0 4) 3 x 4 , 12 8) 3) 756 7) 864 11) 32,940 660 mangoes 18 fans 3) 6) 503 10 x 3 , 30 4) 520 8) 665 12) 39,990 720 rupees 1080 people. Le - 6 Fractional Numbers * Points to Remember. 1) 2) A fraction is a part of whole. A fraction has 2 parts. Bar or 1 → Numerator Division line 2 → Denominator The line that divides numerator and Denominator is called a Bar or Division line. When we divide one whole into two equal parts each part is called one half of the whole. one half or 1 → Two halves make a whole. 2 When we divide one whole into 4 equal parts each part is called one fourth or a quarter of the whole. one fourth or 1 4 3) 4) 5) [33] 6) When we divide one whole into 3 equal parts each part is called one third of the whole. one third or 1 3 7) To add the fraction with the same denominator we s imply add then numerator and write the common denominator. for e.g. Sum of the fractions with like Denominator = Sum of the Numerator Common Denominator 6 + 2 = 6+ 2 = 8 9 9 9 9 8) To subtract fractions with like denominator we subtract the smaller numerator from the greater to obtain the numerator of the required fraction. Difference of the fractions with like Denominator = Difference of the Numerator Common Denominator 4 from 2 = 4-2 = 2 8 8 8 8 * Exercise - 6-A. A) Colour one half of each figures. 1) 2) [34] 3) 4) B) C) 5) 6) Colour one - fourth ( a quarter ) 1) 2) 3) Colour one - third 1) 3) 2) D) Divide each collection into four euqal parts by dotted line. 1) 2) 3) 4) 5) [35] 6) * 7) Exercise - 6-B. A) Shade the figures and fill in the box. Figure Shade Fraction Fraction number 1) 3 parts out of 8 equal parts 2) 7 parts out of 9 equal parts 3) 6 parts out of 9 equal parts 4) 8 parts out of 10 equal parts 5) 1 parts out of 4 equal parts [36] B) Write the fraction and the fractional number corresponding to the unshaded part. Fraction Fraction number 1) 2) 3) 4) 5) [37] C) Write the Numerator and the Denominator. Fraction 1) Numerator Denominator 6 12 2) 3 9 3) 4 8 4) 9 20 5) 14 18 6) 12 13 D) 1) 2) 3) 4) 5) 6) Write the Fraction whose. Numerator is 7 and Denominator is Numerator is 14 and Denominator is Numerator is 9 and Denominator is Numerator is 11 and Denominator is Numerator is 6 and Denominator is Numerator is 8 and Denominator is [38] 9 20 10 15 10 14 * Exercise - 6-C. 1) Find the Sum. 7 + 4 14 14 2) 3 6 3) + = 2 6 = 1 + 11 5 11 = 4) 3 7 3 7 = 5) 2 + 11 1 + 11 4 = 11 6) 6 + 19 2 + 19 3 = 19 7) 6 + 43 12 + 43 20 = 43 8) 5 + 17 4 = 17 9) 10 + 20 3 = 20 + [39] 10) 14 + 32 12 + 32 * Exercise - 6-D. 1) Subtract 9 2 11 11 2) 14 20 4 20 = 3) 13 20 7 20 = 4) 7 10 5 10 = 5) 19 23 7 23 = 6) 10 24 8 24 = 7) 18 26 6 26 = 8) 14 19 5 19 = 2 = 32 = [40] 9) 17 22 7 22 = 10) 4 10 3 10 = * M.C.Q’s 1) Which of the following shows 1 part shaded. 4 a) b) c) d) Fraction of shaded flags are a) 7 b) 3 c) 3 d) 8 10 10 10 10 For representing 5 shaded parts. How many parts you will shade. 7 a) 2 b) 5 c) 7 d) none Fraction is a part of a) Numerator b) Denominator c) Whole d) Set If we divide an apple into two equal parts it is a) 2 b) 1 c) 1 d) 2 4 2 1 Fraction has parts. a) 2 b) 3 c) 1 d) 4 The middle line in the fraction is called a) Car b) Bar c) Tar d) Line One third is written as a) 3 b) 3 c) 1 d) 1 1 3 2) 3) 4) 5) 6) 7) 8) [41] 9) 5 parts out of 8 is written as. a) 8 b) 5 c) 8 d) 5 5 8 10) Write the fraction whose Numerator 10 and Denominator 15 a) 15 b) 10 c) 1 d) 15 1 10 15 10 11) Write the fraction of _________ a) 2 b) 12) Two - Fifth is a) 1 b) 5 2 8 c) 8 2 d) 2 6 2 5 c) 5 2 d) 3 5 ANSWER SHEET. * Exercise - 6-B. A. 1) - 3 8 three eighths 2) - 7 9 seven ninhs 3) - 6 9 six ninths 4) - 8 10 eight tenths [42] 5) B. 1) 3) 5) C. 1) 4) D . 1) - 5 9 3 5 4 6 one fourths. - five ninths 2) - three fifths 4) - four sixths 6 , 12 9 , 20 7 9 1 4 2) 5) 2 4 5 8 3 , 9 14 , 18 - two fourhts - five eigths 3) 6) 4 , 8 12 , 30 2) 14 3) 20 9 4) 10 11 5) 15 6 6) 10 11 2) 14 11 7) 19 5 3) 6 38 8) 43 6 4) 11 9 9) 17 6 5) 7 13 6) 20 10 11 28 32 6 4) 20 9 9) 19 2 5) 10 10 10) 22 12 Exercise - 6-C. 1) 6) Exercise - 6-D. 1) 7 2) 10 3) 6) 11 2 7) 20 12 8) 24 26 23 1 10 ANSWER OF M.C.Q.s. A. 1) 5) 9) c c d 2) b 6) a 10) b 3) b 7) b 11) b [43] 4) c 8) c 12) b 8 14 Le - 10 MEASUREMENT OF LENGTH * Points to Remember. 1) 2) 3) We measure length by a scale or a measure tape. Metre is the standard unit for measuring lengths. The length of smallar objects like book , pencil , boc etc are measured in centimetres. 1 metre = 100 centimetres. The short form of metre is m. The short form of centimetre is cm. The short form of kilometre is km. 1 m = 100 cm. 10 mm = 1 cm. 1 km = 1000 m. 1 kilometre = 1000 metres. Bigger length are measured in kilometres. To convert m into cm , we multiply the number of metre by 100. To convert metre and centimetre into centimetre we multiply the number of metres by 100 and add the product to the number of centimetre. To convert kilometre into metre , we multiply the number of kilometre by 1000. 4) 5) 6) 7) 8) 9 10) 11) 12) 13) 14) 15) Exercise - 10-A. * Convert the following metres into centimetres. Example - Convert the following lengths into centimetres. a) 10 m b) 4 m 16 cm Solution :- 1 m = 100 cm a) 10 m 1 m = 100 cm : 10 m = 10 x 100 cm = 1000 cm [44] b) : : Solve 4 m 16 cm 1 m = 100 cm 4 m = 4 x 100 cm = 400 cm 400 cm + 16 cm = 416 cm. 400 cm + 16 cm 416 cm :- 1) Convert lengths into centimetres. 7m 2) 3 m 20 cm 3) 12 m 4) 84 m 5) 6 m 35 cm 6) 10 m 30 cm 7) 11 m 20 cm 8) 75 m [45] Exercise - 10-B. * Convert the following lengths into metres. Example :- a) 78 km b) 3 km 46 m Solution :a) : b) : : Solve 1 km = 1000 m 78 km 1 km = 1000 m 78 km = 78 x 1000 m = 78,000 m. 3 km 46 m 3000 m 1 km = 1000 m + 46 m 3 km = 3 x 1000 m = 3000 m 3046 m 3000 m + 46 m = 3046 m :- 1) Convert the following lengths into metres. 87 km 2) 93 km 3) 50 km 4) [46] 64 km 5) 97 km 34 m 6) 14 km 60 m 7) 9 km 405 m 8) 77 km 105 m 2) 55 cm and 45 cm Exercise - 10-D. 1) 20 cm Add :and 30 cm 3) 42 cm and 37 cm 4) 35 cm and 25 cm 5) 38 cm and 40 cm 6) 46 cm and 34 cm [47] 7) 89 m + 42 m 63 cm 96 cm 8) 9) 304 km + 243 km 116 m 30 m 10) 9 m 03 cm + 4 m 19 cm 90 cm 19 cm 12) 364 km + 67 km 11) 77 m + 34 m Exercise - 10-E. - 48 m + 32 m 410 m 90 m Subtract :- 1) 37 m - 12 m 2) 89 cm - 40 cm 3) 93 m - 63 m 4) 9 m 60 cm - 4 m 39 cm 5) 14 m 04 cm - 9 m 16 cm 6) 20 m 00 cm - 9 m 12 cm [48] 7) 96 km - 26 km 38 m 29 m 8) 406 km - 108 km 36 m 55 m 9) 604 km - 312 km 82 m 60 m 10) 216 km - 106 km 90 m 56 m * Subtract :- 11) 4 m from 14 m 12) 49 m from 64 m 13) 6 m 14 cm from 14 m 20 cm 14) 143 km 203 m from 270 km 490 m [49] 15) 275 km 16 m from 371 km 26 m Exercise - 10-F. * Solve Pooblems 1) :- Mahesh went to the market which is 9 km 45 m from his house. He then travelled 12 km 340 m to his friend’s house. What is the total distance travelled by him ? Ans. 2) Raj travels a distance of 8 km 350 m. While his friend Ali travels a distance 5 km 750 m. Who travelled more distance and by how much ? Ans. [50] 3) A monkey climbed 3 m 25 cm up a tree & slips by 1 m 10 cm. How much length did monkey climb up the tree ? Ans. 4) Rajesh travelled 676 km by train 48 km 602 m by car and 890 m on foot. Find the total distance he travelled ? Ans. 5) Anju has a red ribbon of length 2 m 15 cm , blue ribbon of length 3 m 25 cm and a green ribbon of length 60 cm. What is the total length of ribbon she has ? Ans. ANSWER SHEET [51] * Exercise - 10-A. 1) 5) 700 cm 635 cm * Exercise - 10-B. 1) 5) 87,000 m 2) 97,034 m 6) * Exercise - 10-C. 1) 4) 84 m 8 cm 40 m 9 cm 2) 5) 9 m 40 cm 105 m 25 cm 7) 12 m 40 cm 8) 9 m 67 cm * Exercise - 10-D. 1) 5) 8) 11) 50 cm 78 cm 80 m 112 m * Exercise - 10-E. 1) 5) 8) 11) 14) 25 cm 2) 4 m 88 cm 297 km 81 m 10 m 127 km 287 m * Exercise - 10-F. 1) 4) 21 km 385 m 2) 725 km 492 m 5) 2) 6) 320 cm 1030 cm 3) 7) 1200 cm 4) 1120 cm 8) 8400 cm 7500 cm 93,000 m 3) 14,060 m 7) 50,000 m 4) 9,405 m 8) 64,000 m 77,105 m 2) 100 cm 3) 79 cm 6) 80 cm 7) 132 m 9) 547 km 146 m 10) 09 cm 12) 431 km 49 cm 3) 30 m 6) 10 m 88 cm 7) 9) 292 km 22 m 10) 12) 15 m 13) 8 m 15) 96 km 10 m 2850 m = ? [52] 19 m 74 cm 96 m 42 cm 4) 60 cm 59 cm 13 m 22 cm 500 m 4) 5 m 21 cm 70 km 09 m 110 km 34 m 06 cm Raj by 2 km 600 m 3) 6m M.C.Q’s 1) 3) 6) 2 m 15 cm a) 2 km 850 m b) 28 km 50 m c) 285 km d) 2 km 85 m 2) 5 km = a) 5 m b) 500 m c) 5000 m d) 50 m 3) Standard unit for measuring length is a) metre b) centimetre c) kilometre d) milimetre 4) 800 cm = a) 8 m b) 80 m c) 8 mm d) 8 km 5) Smaller objects are measured in a) mm b) cm c) km d) metre 6) 7 km = a) 70 m b) 700 m c) 7000 cm d) 7000 m 7) Bigger lengths are measured in a) metre b) centimetre c) kilometre d) litre 8) 1 cm = a) 10 m b) 100 cm c) 10 mm d) none 9) We measure length by a) scale b) foot c) fingers d) cubit 10) To convert m into cm we multiply the number by a) 10 b) 1000 c) 40 d) 100 1) 6) a d 2) 7) ANSWER SHEET 07 M.C.Q’s c 3) a 4) a 5) d c 8) c 9) a 10) d Le - 15 SYMMETRY * Points to Remember. 1) 2) A figure can have more than one line of symmetry. The line that creates the symmetry is called the line of symmetry [53] 3) 4) 5) 6) 7) 8) 9) 10) 11) The line that divides the figure is called the axis of symmetry. Some shapes have one line of symmetry. Some shapes have more than one line of symmetry. Some shapes have no line of symmetry. A rectangle has two lines of symmetry. A square has four lines of symmetry. Two halves must look like mirror images of each other. A , B , C , D , E , M have one line of symmetry. H , I , O , X have two lines of symmetry. Ex – 15 :- Draw lines of Symmetry 1). 2) 3) 4). 5) 6) 7). 8) [54] M.C.Q’s 1) How many lines of symmetry are drawn ? a) 2 b) 2) This figure can have 4 c) 6 line of symmetry. d) 5 a) 1 b) 2 c) 3 d) 4 3)Letter A has line of symmetry a) 1 b) 2 c) 4 d) 6 4) A square has lines of symmetry. a) 1 b) 2 c) 3 d) 4 5)The number of rotational symmetry in an equilateral triangle is a) one b) two c) three d) 6)Letter E has lines of symmetry. a) 1 b) 2 c) 4 d) 7) Find the number of lines of symmetry for the figure. a) 1 b) 2 c) 4 d) 8) The letter of English alphabet which has horizontal is a) A b) F c) D d) [55] four 6 none symmetry L 1) 5) b c 2) 6) a a ANSWERS 3) a 7) b 4) 8) d c ROMAN NUMBERS * Points to Remember. 1) 2) 3) Repetition of a Roman Numerals means addition. There is no zero in the Roman system. The difference between the Hindu Arabic system and the Roman system is that Roman system does not use place Value. The Roman numeration system uses only seven symbols to write any number. There symbols are I , V , X , L , C , D and M The values of these symbols are. 4) 5) 6) I Roman Numrals Hidnu - Arabic Numerals 1 V 5 X L C D M 10 50 100 500 1000 * In Roman Numeration System - Repetition of a symbol is not more than three times. The symbol V cannot be repeated. The symbol V is never subtrated. Hidnu - Arabic Numerals 1 2 3 4 5 6 [56] Roman Numrals I II III IV V VI Hidnu - Arabic Numerals 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Roman Numrals VII VIII IX X XI XII XIII XIV XV XVI XVIII XVIII XIX XX * Exercise :- A) 1) 2) 3) 4) 5) Write the Hindu Arabic V VIII III X XIX - B) 1) 2) 3) 4) 5) Write each of the following in Roman numerals. 7 6) 3 10 7) 6 14 8) 9 20 9) 13 18 10) 16 - Numerals for each of the following. 6) XV 7) XVII 8) XII 9) XIV 10) XX - [57] C) 1) 2) 3) Fill in the boxes using XVI 14 IX 11 XX XVII D) Match A 1) IX 2) VII 3) X 4) II 5) XI 6) XVIII 7) IV a) b) c) d) e) f) g) (> , < , =) 4) XIX 5) III 6) XII XIX V XII B 10 2 9 11 7 4 18 M.C.Q’s 1) 2) 3) 4) 5) 6) 7) Roman Numerals mean Repetition of . a) multiplication b) Addition c) Subtraction d) None Which Roman Numerals is neither repeated or subtracted. a) X b) VII c) V d) I How many symbols are used in Roman system. a) 6 b) 4 c) 8 d) 7 Write the Hindu Arabic Numeral for XIX a) 9 b) 18 c) 19 d) 20 Write the Roman numeral for 16. a) IV b) VII c) XIV d) XVI Roman numeration system has no symbol for zero. a) True b) False Write the Roman numeral for 15. a) VV b) XV c) XXV d) XVX [58] 8) Which is greater XVI or XIV a) XVI b) XIV 9) Hindu Arabic numeration system we use symbols a) 11 b) 20 c) 9 d) 10 10) How many times can a symbol be repeated in Roman system ? a) 4 b) 2 c) 6 d) 3 A. 1) 6) 5 2) 15 7) ANSWERS SHEET 8 3) 3 4) 10 5) 19 17 8) 12 9) 14 10) 20 B. 1) 6) VII 2) III 7) X VI 3) 8) XIV 4) IX 9) XX 5) XVII XIII 10) XVI C. D. 1) 1) 5) > c d 2) 2) 6) < e g 3) 3) 7) > a f = b 2) 7) M.C.Q’S ANSWERS c 3) d 4) c 5) d b 8) a 9) d 10) d 1) 6) b a [59] 4) 4) 5) < 6) =