MAHARAJA AGGARSAIN ADARSH PUBLIC SCHOOL
ASSIGNMENT
Class VI (MATHS)
Q.1How many whole numbers are there between 12 and 86
Q.2Find the product using distributive property.
1)168 X 102
2)792 X 99
3)625 X 279 – 625 X 79
4)529 X 99 + 529
Q.3Simplify by suitable arrangement
1)8 X 391 X 125
2)20 X 1234 X 50
3)87 + 64 + 36
4)713 + 87 + 200
Q.4Find the Successor and predecessor of each of the following whole numbers.
1)21999
2)4001
3)50012
Q.5What is the sum of 40711 and 73412 and the difference of 82731 and 37128?
Q.6Find the number which is:
(i) 53172 more than 64278
(ii) 53172 less than 64278
(iii) 1872 more than 23265
(iv) 1872 less than 23265
Q.7Find the difference between the smallest number of 7 digits and the largest number of 4 digits
Q.8The population of a town was 110500.In one year it increased by 3608 due to new birth.however,8973 person died or left the town during the year .What was the population at the end of the year?
Q.950 chairs and 30 blackboard were purchased for a school. If each chair costs Rs. 1065 and each blackboard costs Rs 1645, Find the total amount of the bill.
Q.10A car moves at a uniform speed of 75km per hour. How much distance will it cover in 98 hour?
Q.11Divide,and find out the quotient and remainder. Check your answer
1)1936 ÷ 16
2)612846 ÷ 582
3)34419 ÷ 149
Q.12The product of two numbers is 504347. If one of the numbers is 317, find the other.
Q.13What least number must be subtracted from 13601 to get a number exactly divisible by 87?
Q.14 What least number must be added to 1056 to get a number exactly divisible by 23?
Q.15Find the least six digit number exactly divisible by 83?
Q.16Find the product of the largest five digit number and the largest three digit number using distributive law
Q.17Simplify each of the following:
1.3 - (5 – 6 ÷ 3)
2.– 25 + 14 ÷ (5 - 3)
3.25 – 1/2{5 + 4 - (3 + 2 –1 + 3)}
4.27 - [38 - {46 - (15 -13 - 2)}]
5.36 - [18 - {14 - (15 – 4 ÷ 2 x 2)}]
6.45 - [38 - {60 ÷ 3 – (6 - 9 ÷ 3) ÷ 3}]
7.23 - [23 - {23 - (23 -23 - 23)}]
8.2550 - [51 0 - {270 - (90 -80 + 70)}]
9.4 + (1/5) [{-10 x (25 -13 - 3)} ÷ (-5)]
10.22 - (1/4) {-5 - (- 48) ÷ (-16)}
11.63 - (-3) {-2 -8 - 3} ÷ 3{5 + (-2) (-1)}
12.[29 - (-2) {6 - (7 - 3)}] ÷ [3 x {5 + (-3) x (-2)}]
Q.18Find the highest common factor and least common multiple of the following pairs of numbers:
(i) 576 and 1440
(ii) 625 and 325
(iii) 496 and 1116
(iv) 1000 and 1125
(v) 676 and 650
Q.19Which of the following numbers are divisible by 2, 3,4,5,6,8,910, and 11?
(i) 149
(ii) 19400
(iii) 720345
(iv) 125370
(v) 3000000
Q.20Find out the even numbers.
27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358
Q.21 Find out the odd numbers.
10, 45, 78, 146, 347, 543, 495, 638, 497, 968, 729, 427, 624, 572
Q.22 Write the factors of the following:
(i) 27
(ii) 32
(iii) 18
(iv) 45
(v) 25
(vi) 56
(vii) 68
(viii) 38
(ix) 72
(x) 56
(xi) 49
(xii) 30
(xiii) 95
(xiv) 36
(xv) 84
Q.23Express each of the following numbers as the sum of two odd primes
36, 42, 84, 98
Q.24Find the HCF of the number, using division method
1)58, 70
2)399, 437
3)658 , 940 , 1128
4)1794 , 2346 , 4761
Q.25Find the greatest number which divides 2011 and 2623, leaving remainders 9 and 5 respectively.
Q.26Three piece of timber, 42m, 49m and 63m long, have to be divided into planks of the same length. What is the greatest possible length of each plank?
Q.27Reduce 161/207 into lowest term
Q.28A rectangular courtyard is 18m72cm long and13m20cm broad. It is to be paved with sq uare tiles of the same size. Find the maximum number of tiles.
Q.29For each pair of numbers, verify that their products = (HCF x LCM)
(i)87, 145 (ii)186, 403
Q.30The product of two numbers is 2160 and their HCF is 12. Find their LCM
Q.31The HCF and LCM of two numbers are 131 and 8253 respectively. If one of the numbers is 917, find the other
Q.32Find the least number of 5 digits that is exactly divisible by 16,18,24,30
Q.33Find the greatest number of 5 digit that is exactly divisible by 9, 12,15,18,24
Q.34The number of persons who visited the holy shrine of Mata Vaishno Devi during last two consecutive years was 13789509 and 12976498 respectively. How many persons visited the shrine during these two years?
Q.35Last year, three sugar factories in a town produced 24809565 bags, 18738576 bags and 9564568 bags of sugar respectively. How many bags were produced by all the three factories during last year?
Q.36In a particular year a company produced 8765435 bicycles. Next year, the number of bicycles produced was 1378689 more than those produced in the preceding year.
1)How many bicycles were produced during the second year?
2)How many bicycles were produced during these two years?
Q.37The sum of two numbers is 10750308. If one of them is 8967519, what is the other number?
Q.38A factory produces 6985 screws per day. How many screws will it produce in 358 days?
Q.39Mr. Bhaskar saves Rs. 8756 every month. How much money will he save in 13 years?
Q.40A scooter costs Rs. 36725. How much will 487 such scooters cost?
Q.41An aero plane covers 1485 km in 1 hour. How much distance will it cover in 72 hours?
Q.42The product of two numbers is 13421408. If one of the numbers is 364, find the other.
Q.43If 36 flats cost Rs. 68251500, what is the cost of each such flat?
Q.44The mass of a cylinder filled with gas is 30 kg 250 g and the mass of the empty cylinder is 14 kg 480 g. How much is the mass of the gas contained in it?
Q.45From a cloth 5 m long, a piece of length 2m 85 cm is cut off. What is the length of the remaining piece?
Q.46Estimate
1)267 x 146
2)236 + 689
3)3280 + 439
4)5130 – 1410
5)872 x 984
6)7258 – 409
7)680 ÷ 489
8)868 ÷ 38
Q.47Express each of the following as a Roman numeral:
(i) 164
(ii) 195
(iii) 226
(iv) 341
(v) 475
(vi)596
(vii) 611
(viii) 759
Q.48Write each of the following as a Hindu-Arabic numeral:
(i) XXVII
(ii) XXXIV
(iii) XLV
(iv) LIV
(v) LXXIV
(vi) XCI
(vii) XCVI
(viii) CXI
(ix) CLIV
(x) CCXXIV
(xi) CCCLXV
(xii) CDXIV
(xiii) CDLXIV
(xiv) DVI
(xv) DCCLXVI
Q.49How many six digit numbers are there in all?
Q.50Find the difference between the place value and the face value of seven in 27650934
Q.51How many thousands make a crore ?
Q.52Write the smallest eight digit number having four different digits.