Number Mathematics Worksheets - Junior आधुनिक विद्या निकेतन ट्यूशन सेंटर Visit: avnlearn.com

Exercise 1A

1. Write the number between 3456 and 3466.
2. Write the numeral for each of the following numbers:
   1. Nine thousand eighteen
   2. Fifty-four thousand seventy-three
   3. Three lakh two thousand five hundred six
   4. Twenty lakh ten thousand eight
   5. Six crore five lakh fifty-seven
   6. Two crore two lakh two thousand two hundred two
   7. Twelve crore twelve lakh twelve thousand twelve
   8. Fifteen crore fifty lakh twenty thousand sixty-eight
3. Write each of the following numbers in words:
   1. 63,005
   2. 7,07,075
   3. 34,20,019
   4. 3,05,09,012
   5. 5,10,03,604
   6. 6,18,05,008
   7. 19,09,09,900
   8. 6,15,30,807
   9. 6,60,60,060
4. Write each of the following numbers in expanded form:
   1. 15,768
   2. 3,08,927
   3. 24,05,609
   4. 5,36,18,493
   5. 6,06,06,006
   6. 9,10,10,510
5. Write the corresponding numeral for each of the following:
   1. 6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 4 × 1
   2. 5 × 10000 + 8 × 1000 + 1 × 100 + 6 × 10 + 2 × 1
   3. 2 × 10000 + 5 × 1000 + 7 × 100 + 9 × 10 + 5 × 1
   4. 3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100
6. Write the number coming just before and coming after the given number:
   1. 42678
   2. 998866
   3. 124680
   4. 87654
7. Write the next three whole numbers after 30999.
8. Write the three whole numbers occurring just before 10001.
9. How many whole numbers are there between 1032 and 1209?
10. Insert commas suitably and write the names according to Indian System of Numeration and International System of Numeration:
    1. 87595762
    2. 8546283
    3. 99900046
    4. 98432701
    5. 78921092
    6. 7452283
11. Arrange the following numbers in ascending order:
    1. 878787877, 696969696, 9996655, 8790001
    2. 12345789, 21345689, 113456789, 223456789
    3. 19000919, 192000009, 191900009, 10999909
    4. 223344556, 3000000, 209999999, 222998877
12. Arrange the following numbers in descending order:
    1. 787878787, 969696966, 55566699, 78900002
    2. 98764321, 987654312, 98765311, 987654322
    3. 91900009190000092, 90009191, 909999901
    4. 778899222, 999999902, 9000000, 778899221
13. 1. Write all the possible numbers of three digits using 2, 5 and 1.
    2. Write all the possible three-digit numbers using 3, 4 and 6.
    3. Write all the possible numbers of three digits using 8, 9 and 7.
14. 1. Write the greatest number of 4 digits using 1,0,9 and 2.
    2. Write the greatest five-digit number using 9, 1 , 0, 3 and 1.
    3. Write the greatest number of six digits using 8, 9, 6, 5, 0 and 4.
15. Write the successor of:
    1. 2540801
    2. 9999
    3. 50904
    4. 61639
    5. 687890
    6. 5386700
    7. 6475999
    8. 9999999
16. Write the predecessor of:
    1. 97
    2. 10000
    3. 36900
    4. 7684320
    5. 1566391
    6. 2456800
    7. 100000
    8. 1000000

Exercise 1B

1. Express each of the following as a Roman numeral:
   1. 43
   2. 54
   3. 61
   4. 73
   5. 81
   6. 91
   7. 95
   8. 99
   9. 105
   10. 114
   11. 164
   12. 195
   13. 226
   14. 341
   15. 475
   16. 596
   17. 611
   18. 759
2. Write each of the following as a Hindu-Arabic numeral:
   1. XXXIV
   2. XLV
   3. LIV
   4. LXXIV
   5. XCI
   6. XCVI
   7. CXI
   8. CLIV
   9. CCXXIV
   10. CCCLXV
   11. CDXIV
   12. CDLXIV
   13. DVI
   14. DCCLXVI
3. Show that each of the following is meaningless. Give reason in each case.
   1. VC
   2. IL
   3. VVII
   4. IXX

Exercise 1C

Add:

1. 1. 34120 + 45230
   2. 62507 + 4092
   3. 40065 + 38713
   4. 87654 + 321
   5. 80704 + 3203
   6. 341125 + 124563
   7. 415306 + 372002
   8. 53724 + 612053
2. 1. 43265 + 12521 + 24012
   2. 63143 + 2512 + 1133
   3. 234567 + 42012 + 3220
   4. 24 + 241 + 2310 + 24302
   5. 123456 + 12332 + 1210 + 2001
   6. 5 + 51 + 510 + 87103
3. 1. 62402 + 24659
   2. 52876 + 58693
   3. 74251 + 3969
   4. 4875 + 92665
   5. 936 + 52186
   6. 265849 + 373246
   7. 527496 + 236540
   8. 43857 + 649763
   9. 456456 + 367890
   10. 1234567 + 8907865
4. 1. 4567 + 34567 + 234567
   2. 56784 + 7654 + 456
   3. 24680 + 678901 + 213140
   4. 13579 + 24680 + 50321 + 11892
   5. 567897 + 43211 + 189458 + 219
   6. 66556 + 4446 + 336 + 26
   7. 77889908 + 7543217 + 85685685
   8. 4488997 + 3322115 + 5544332
   9. 11889966 + 5566787 + 95087654 + 32100645
   10. 7788665 + 2223334 + 5567890 + 6565656

Subtract :

5. 1. 76765 from 94320
   2. 464646 from 853420
6. 1. 8789 − 4506
   2. 99887 − 55443
   3. 66543 − 42310
   4. 4436 − 12345
   5. 61524 − 31312
   6. 95468 − 3125
   7. 678953 − 215432
   8. 554433 − 221103
   9. 789987 − 112283
   10. 654321 − 321211
   11. 876655 − 443322
   12. 653105 − 41004
7. 1. 97654 − 38799
   2. 55443 − 16744
   3. 67895 − 28996
   4. 78978 − 29989
   5. 34567 − 2089
   6. 10000 − 2345
   7. 545454 − 167895
   8. 666555 − 277896
   9. 607054 − 129765
   10. 330065 − 148978
   11. 100000 − 12345
   12. 226655 − 789
   13. 780605 − 391236
   14. 4321657 − 1432987
   15. 65656565 − 16768687
   16. 3322117 − 2424248
   17. 7895432 − 1689654
   18. 10060708 − 1278909

Do these sums:

8. 1. 8 − 2 + 3
   2. 7 + 3 − 5
   3. 15 + 12 − 14
   4. 81 + 87 − 69
   5. 182 − 97 + 49
   6. 248 − 132 − 15
   7. 289 − 195 + 234
   8. 527 + 419 − 497
   9. 1825 + 380 − 1567
   10. 298 + 596 − 293 − 392
   11. 1250 + 495 − 321 − 157
   12. 1089 − 197 − 47 + 1256
9. 1. 503 − 1437 − 246 + 1375 − 95
   2. 10000 − 999 + 8888 − 6665 + 777 − 555
   3. 656666 + 432141 − 765432
   4. 7899876 − 5898999 + 3213213
   5. 52345678 − 43216789 + 56565656
   6. 96596596 − 56432107 − 12340087

Multiply:

10. 1. 12 × 20
    2. 13 × 30
    3. 15 × 40
    4. 16 × 50
    5. 36 × 20
    6. 11 × 80
    7. 101 × 70
    8. 111 × 60
    9. 201 × 90
    10. 301 × 90
    11. 12 × 200
    12. 15 × 300
    13. 16 × 400
    14. 17 × 700
    15. 76 × 100
    16. 89 × 200
11. 1. 102 × 400
    2. 111 × 500
    3. 101 × 600
    4. 102 × 800
    5. 111 × 900
    6. 201 × 900
    7. 124 × 200
    8. 11 × 1000
    9. 12 × 2000
    10. 13 × 3000
    11. 14 × 4000
    12. 15 × 5000
    13. 16 × 6000
    14. 17 × 7000
    15. 12 × 8000
    16. 11 × 9000
    17. 132 × 1000
    18. 1234 × 10
12. 1. 22 × 13
    2. 34 × 12
    3. 33 × 13
    4. 56 × 11
    5. 63 × 11
    6. 99 × 11
    7. 102 × 33
    8. 123 × 13
    9. 213 × 13
    10. 412 × 12
    11. 506 × 11
    12. 456 × 34
    13. 14 × 28
    14. 26 × 13
    15. 37 × 35
    16. 43 × 51
13. 1. 543 × 61
    2. 637 × 72
    3. 897 × 82
    4. 985 × 79
    5. 999 × 99
    6. 141 × 21
    7. 324 × 22
    8. 567 × 11
    9. 321 × 312
    10. 432 × 221
    11. 332 × 323
    12. 134 × 202
    13. 313 × 103
    14. 657 × 101
    15. 1011 × 15
    16. 2013 × 13
    17. 3013 × 13
    18. 4004 × 12
    19. 1233 × 123
    20. 3321 × 332
    21. 4567 × 111
    22. 375 × 25
    23. 2408 × 79
    24. 1357 × 86
14. 1. 4132 × 27
    2. 6309 × 36
    3. 23008 × 95
    4. 3688 × 456
    5. 7089 × 789
    6. 60878 × 808
    7. 2308 × 8032
    8. 1234 × 4321
    9. 81009 × 8989
    10. 1478 × 5000
    11. 94 × 70000
    12. 79 × 12000
    13. 12 × 3 × 4
    14. 3 × 4 × 15
    15. 20 × 5 × 6 × 8
15. 1. 1235 by 38
    2. 3167 by 74
    3. 4257 by 45
    4. 6389 by 69
    5. 2331 by 302
    6. 5678 by 101
16. 1. 4 × 5 − 3 × 2
    2. 8 × 2 − 4 × 3
    3. 7 × 8 − 6 × 4 + 5 × 3
    4. 10 × 5 − 12 × 7 + 8 × 9
    5. 9 × 7 − 5 × 9 − 4 × 3
    6. 18 × 5 − 8 × 7 − 6 × 2
    7. 11 × 10 + 3 × 5 − 15 × 8
    8. 15 × 8 + 10× 8 − 20 × 10
    9. 102 − 12 × 7 + 22 − 4 × 9
    10. 420 − 16 × 5 − 7 × 8 − 14 × 5

Find the quotient and the remainder.

17. 1. 88 ÷ 11
    2. 84 ÷ 12
    3. 91 ÷ 13
    4. 126 ÷ 15
    5. 144 ÷ 16
    6. 902 ÷ 11
    7. 975 ÷ 15
    8. 848 ÷ 16
    9. 588 ÷ 28
    10. 814 ÷ 37
    11. 686 ÷ 49
18. 1. 92053 ÷ 13
    2. 11948 ÷ 29
    3. 23138 ÷ 46
    4. 12084 ÷ 57
    5. 81162 ÷ 81
    6. 72000 ÷ 96
19. 1. 807 ÷ 26
    2. 737 ÷ 35
    3. 487 ÷ 44
    4. 608 ÷ 55
    5. 828 ÷ 75
    6. 969 ÷ 88
20. 1. 7309 ÷ 36
    2. 2078 ÷ 67
    3. 3319 ÷ 79
    4. 2700 ÷ 84
    5. 3670 ÷ 99
    6. 19877 ÷ 38
    7. 28090 ÷ 45
    8. 78 ÷ 10
    9. 456 ÷ 10
    10. 2034 ÷ 10
    11. 98070 ÷ 10
    12. 234 ÷ 100
    13. 9807 ÷ 100
    14. 50123 ÷ 100
    15. 436510 ÷ 100
21. 1. 3629 ÷ 1000
    2. 78096 ÷ 1000
    3. 123456 ÷ 1000
    4. 6003137 ÷ 1000
22. 1. 140 ÷ 20
    2. 270 ÷ 30
    3. 320 ÷ 40
    4. 200 ÷ 50
    5. 1760 ÷ 80
    6. 9810 ÷ 90
    7. 8400 ÷ 50
    8. 170 ÷ 20
    9. 280 ÷ 30
    10. 230 ÷ 40
    11. 440 ÷ 50
    12. 450 ÷ 60
    13. 500 ÷ 70
    14. 1780 ÷ 80
    15. 1840 ÷ 90
    16. 999 ÷ 111
    17. 861 ÷ 123
    18. 996 ÷ 249
    19. 616 ÷ 308
    20. 846 ÷ 423
    21. 898 ÷ 449
23. 1. 1668 ÷ 139
    2. 5564 ÷ 428
    3. 6666 ÷ 606
    4. 7777 ÷ 707
    5. 9708 ÷ 809
    6. 9977 ÷ 907
    7. 17952 ÷ 187
    8. 21361 ÷ 521
    9. 20979 ÷ 777
    10. 15920 ÷ 199
    11. 264240 ÷ 367
24. 1. 669 ÷ 167
    2. 820 ÷ 272
    3. 819 ÷ 409
    4. 7345 ÷ 612
    5. 9333 ÷ 717
    6. 8855 ÷ 805
    7. 74296 ÷ 123
    8. 81278 ÷ 789
    9. 85877 ÷ 423
25. 1. 78669 ÷ 67
    2. 841231 ÷ 38
    3. 618974 ÷ 56
    4. 1223456 ÷ 82
    5. 63143901 ÷ 44
    6. 12345006 ÷ 81
26. 1. 87212 ÷ 123
    2. 81376 ÷ 789
    3. 806873 ÷ 637
    4. 898420 ÷ 358
    5. 3158795 ÷ 441
    6. 3159569 ÷ 839
27. 1. 348043 ÷ 1324
    2. 5820635 ÷ 2875
    3. 27654321 ÷ 4831
    4. 610050029 ÷ 8012
    5. 333112 ÷ 2119
    6. 6880380 ÷ 8400
28. 1. 4256328 ÷ 1000
    2. 3604285 ÷ 10000
    3. 810563 ÷ 3000
29. Simplify:
    1. 16 ÷ 2 of 8
    2. 16 ÷ 2 × 8
    3. 16 of 4 ÷ 2
    4. 16 × 8 ÷ 4
    5. 322 × 3773 ÷ 343
    6. 4875 ÷ 195 × 480
    7. 4900 ÷ 350 × 145
    8. 20 ÷ 2 − 10 × 2 + 5 of 4 ÷ 5 + 20
    9. 25 ÷ 5 of 5 × 2 of 3 + 7 − 6
    10. 125 of 4 ÷ 10 of 5 − 9 of 7 + 160 ÷ 2
    11. 12 ÷ 4 of 3 ÷ 7 − 2 × 4
    12. 220 + 24 × 60 − 1089 ÷ 99
    13. 220 + 24 of 60 − 1089 ÷ 99
    14. 3960 ÷ 264 + 5742 ÷ 522 × 30
    15. 3125 ÷ 125 − 2055 ÷ 411 − 20
30. Simplify the following:
    1. (16 + 12) − (2 × 6)
    2. 84 ÷ (72 ÷ 6)
    3. (83 − 38) × 15
    4. (20 × 8) ÷ (10 of 4)
    5. 24 + 15 ÷ 3 × (4 − 2)
    6. (15 × 3) ÷ 5 × 8 − 2 + 6 × (8 − 2)
31. Simplify the following and verify whether they are equal.
    1. 12 × 6 ÷ 3 and 12 × (6 ÷ 3)
    2. (11 × 8) − 6 and 11 × (8 − 6)
32. Simplify the following:
    1. 5 × {19 − (15 − 6)}
    2. 20 + {5 × (72 − 42)}
    3. 40 − {(17 − 3) ÷ (20 − 13)}
    4. (30 ÷ 10) + {(6 × 12) ÷ 8}
    5. {7 + (5 × 3)} − 12 + 6 of 3

Exercise 1D

1. Round each of the following numbers to the nearest ten:
   1. 36
   2. 173
   3. 3869
   4. 16378
2. Round each of the following numbers to the nearest hundred:
   1. 814
   2. 1254
   3. 43126
   4. 98165
3. Round each of the following numbers to the nearest thousand:
   1. 793
   2. 4826
   3. 16719
   4. 28394
4. Round each of the following numbers to the nearest ten thousand:
   1. 17514
   2. 26340
   3. 34890
   4. 272685
5. Estimate each sum to the nearest ten:
   1. (57 + 34)
   2. (43 + 78)
   3. (14 + 69)
   4. (86 + 19)
   5. (95 + 58)
   6. (77 + 63)
   7. (356 + 275)
   8. (463 + 182)
   9. (538 + 276)
6. Estimate each sum to the nearest hundred:
   1. (236 + 689)
   2. (458 + 324)
   3. (170 + 395)
   4. (3280 + 4395)
   5. (5130 + 1410)
   6. (10083 + 29380)
7. Estimate each sum to the nearest thousand:
   1. (52836 + 16466)
   2. (46703 + 11375)
8. Estimate each difference to the nearest ten:
   1. (53 − 18)
   2. (97 − 38)
   3. (409 − 148)
9. Estimate each difference to the nearest hundred:
   1. (957 − 578)
   2. (7258 − 2429)
   3. (5612 − 3095)
10. Estimate each difference to the nearest thousand:
    1. (35863 − 27677)
    2. (47005 − 39488)
11. Estimate each of the following products by rounding off each number to the nearest ten:
    1. 38 × 63
    2. 54 × 47
    3. 28 × 63
    4. 42 × 75
    5. 64 × 58
    6. 15 × 34
12. Estimate each of the following products by rounding off each number to the nearest hundred:
    1. 376 × 123
    2. 264 × 147
    3. 423 × 158
    4. 509 × 179
    5. 392 × 138
    6. 271 × 339
13. Estimate each of the following products by rounding off the first number upwards and the second number downwards:
    1. 183 × 154
    2. 267 × 146
    3. 359 × 76
    4. 472 × 158
    5. 680 × 164
    6. 255 × 350
14. Find the estimated quotient for each of the following:
    1. 75 ÷ 23
    2. 193 ÷ 24
    3. 725 ÷ 23
    4. 275 ÷ 25
    5. 633 ÷ 33
    6. 729 ÷ 29
    7. 858 ÷ 39
    8. 868 ÷ 38

Exercise 1E

1. Write down all the factors of
   1. 20
   2. 36
   3. 60
   4. 75
2. Write the first five multiples of each of the following numbers:
   1. 17
   2. 23
   3. 65
   4. 70
3. Which of the following numbers are even and which are odd?
   1. 37
   2. 50
   3. 58
   4. 69
   5. 144
   6. 321
   7. 253
4. Find which of the following numbers are primes:
   1. 87
   2. 89
   3. 63
   4. 91
   5. 103
   6. 137
   7. 161
   8. 179
   9. 217
   10. 277
   11. 331
   12. 397
5. In each of the following, find the smallest number that should be added to the number to get a number disible by 5.
   1. 1456
   2. 43217
   3. 900003
6. In each of the following, find the smallest number that should be subtracted from the number to get a number disible by 10.
   1. 1234
   2. 45679
   3. 900093
7. Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10 ; by 11; by 12; by 15 (say, yes or no):
   

   2650, 69435, 59628, 789403, 357986, 367314, 733, 10038, 20701, 524781, 79124, 872645, 618, 2314, 63712, 35056, 946126, 810524, 4965, 23590, 35208, 723405, 124684, 438750, 2070, 46523, 71232, 934706, 251780, 872536, 826, 117, 2345, 6021, 14126, 25368, 9364, 2138, 36792, 901674, 136976, 1790184, 2358, 3333, 98712, 257106, 647514, 326999, 5790, 63215, 55555, 4334, 83721, 66311, 137269, 901351, 8790322, 129, 4896, 79968, 123452, 390, 7825, 90875, 123450, 28, 316, 2456, 9026

8. Which each of the following numbers, replace * by the smallest number to make it divisible by 3:
   1. 27*4
   2. 53*46
   3. 8*711
   4. 62*35
   5. 234*17
   6. 6* 1054
9. In each of the following numbers, replace * by the smallest number to make it divisible by 9:
   1. 65*5
   2. 2*135
   3. 6702*
   4. 91*67
   5. 6678*1
   6. 835*86
10. In each of the following numbers, replace * by the smallest number to make it divisible by 11:
    1. 26*5
    2. 39*43
    3. 86*72
    4. 467*91
    5. 1723*4
    6. 9*8071
11. Find the common factors of :
    1. 20, 28
    2. 15, 25
    3. 35, 50
    4. 56, 120
    5. 4, 8, 12
    6. 5, 15, 25
12. Find first three common multiples of :
    1. 6, 8
    2. 12, 18
    3. 16, 18, 24
13. Give the prime factorization of each of the following numbers:
    1. 12
    2. 18
    3. 48
    4. 56
    5. 90
    6. 136
    7. 252
    8. 420
    9. 637
    10. 945
    11. 1224
    12. 1323
    13. 8712
    14. 9317
    15. 1035
    16. 1197
    17. 4641
    18. 4335
    19. 2907
    20. 13915
14. Find, by inspection, the HCF of the following pairs of numbers:
    1. 6, 9
    2. 8, 12
    3. 10, 15
    4. 16, 24
    5. 30, 40
    6. 22, 33
    7. 11, 15
    8. 13, 8
15. Find the HCF by finding factors:
    1. 9, 12
    2. 10, 25
    3. 35, 49
    4. 4, 6, 8
    5. 6, 9, 15
    6. 8, 12, 16
    7. 18, 24, 32

Using Euclid’s division algorithm, find the HCF of (using the division method)

16. 1. 58, 70
    2. 399, 437
    3. 390, 663
    4. 856, 936
    5. 837, 1134
    6. 504, 5292
    7. 775, 1800
    8. 7625, 8175
    9. 1020, 11594
    10. 5610, 10465
    11. 12350, 6845
    12. 10568, 9247
    13. 3536, 33150
    14. 1965, 2096
    15. 2241, 2324
17. 1. 256, 442, 940
    2. 192, 576, 1760
    3. 639, 873, 747
    4. 612, 816, 448
    5. 176, 1100, 4444
    6. 808, 568, 1112
    7. 432, 1134, 1347
    8. 345, 726, 531
    9. 658, 940, 1128
    10. 754, 1508, 1972
    11. 391, 425, 527
    12. 1794, 2346, 4761
18. 1. 1233, 726, 531, 345
    2. 1326, 3094, 4420, 5577
19. Which of the following numbers are co-prime?
    1. 18, 35
    2. 15, 37
    3. 17, 68
    4. 81, 16
    5. 59, 97
    6. 30, 415
    7. 216, 215
    8. 161, 192
    9. 343, 432
    10. 512, 945
    11. 385, 621
    12. 847, 1014
20. Find, by inspection, the LCM of each pair of numbers:
    1. 2, 4
    2. 3, 6
    3. 4, 8
    4. 6, 12
    5. 5, 10
    6. 9, 3
    7. 20, 10
    8. 6, 10
    9. 6, 16
    10. 12, 16
    11. 10, 15
    12. 12, 18

Find the LCM of the numbers by division:

21. 1. 160, 100
    2. 12, 18, 90
    3. 45, 35, 21
    4. 21, 63, 105
    5. 64, 96, 112
22. 1. 15, 45, 125, 225
    2. 44, 126, 198, 280
    3. 12, 36, 16, 24, 32
    4. 4, 6, 8, 12, 18, 90
    5. 16, 90, 91 , 280, 455

Using prime factorisation, find the HCF and LCM of:

23. 1. 4, 6
    2. 6, 9
    3. 8, 12
    4. 4, 22
    5. 4, 26
    6. 6, 21
    7. 6, 27
    8. 8, 28
    9. 10, 25
    10. 15, 25
    11. 25, 80
    12. 42, 63
    13. 60, 75
    14. 45, 30
    15. 45, 75
    16. 54, 81
    17. 64, 80
    18. 84, 98
    19. 64, 80
    20. 30, 105
    21. 58, 174
    22. 72, 126
    23. 75, 120
    24. 110, 88
24. 1. 165, 275
    2. 480, 720
    3. 140, 196
    4. 352, 192
    5. 420, 360
    6. 204, 255
    7. 117, 221
    8. 234, 572
    9. 145, 232
    10. 693, 1078
    11. 861, 1353
    12. 2923, 3239
25. 1. 8, 16, 14
    2. 10, 12, 36
    3. 12, 15, 21
    4. 12, 36, 48
    5. 25, 40, 60
    6. 45, 84, 90
    7. 54, 60, 90
    8. 13, 39, 65
    9. 12, 18, 20
    10. 36, 60, 72
    11. 25, 30, 40
    12. 42, 36, 21
    13. 26, 14, 91
    14. 17, 23, 29
    15. 24, 36, 40
26. 1. 56, 42, 140
    2. 21 ,63, 105
    3. 36, 40, 126
    4. 21, 27, 189
    5. 30, 72, 432
    6. 44, 121, 132
    7. 72, 108, 180
    8. 84, 120, 138
    9. 45, 125, 225
    10. 106, 159, 371
    11. 144, 252, 630
    12. 144, 180, 384
27. 1. 240, 320, 360
    2. 128, 136, 512
    3. 540, 315, 360
    4. 216, 324, 1350
    5. 1197, 5320, 4389
    6. 21, 28, 36, 45
    7. 16, 28, 40, 77
    8. 28, 36, 45, 60
    9. 36, 60, 84, 90
    10. 48, 64, 72, 96, 108
28. For each pair of numbers, verify that their product = (HCF x LCM).
    1. 87, 145
    2. 186, 403
    3. 490, 1155
29. Find the simplest form of:
    1. \(\frac{161}{207}\)
    2. \(\frac{517}{799}\)
    3. \(\frac{296}{481}\)
    4. \(\frac{1095}{1168}\)
30. Find the greatest number that will divide 24 and 36 without leaving a remainder.
31. Find the greatest number that will divide 22, 33 and 44 without leaving a remainder.
32. Find the greatest number that will divide 33 and 45 leaving a remainder 9 in each case.
33. What is the largest number that will divide 61, 33 and 75 leaving as remainder In each case?
34. Find the greatest number that will divide 39, 52 and 65 leaving remainders 3, 4 and 5 respectively.
35. Find the least number which when divided by 12 and 18, leaves no remainder.
36. Find the least number which is exactly divisible by each of the numbers 6, 15 and 18.
37. Find the least number which when divided by 15 and 25, leaves 1 as remainder in each case.
38. Find the least number which when divided by 18 and 12, leaves 5 as remainder in each case.
39. The product of two numbers is 48 and their HCF is 2. Find their LCM.
40. The product of two numbers is 875 and their HCF is 5. Find their LCM.
41. The product of two numbers is 108 and their LCM is 36. Find their HCF.
42. The product of two numbers is 216 and their LCM is 36. Find their HCF.
43. The HCF of two numbers is 3 and their LCM is 36. If one of the numbers is 12, find the other number.
44. The HCF of two numbers is 8 and their LCM is 96. If one of the numbers is 24, find the other number.