UDGAM SCHOOL FOR CHILDREN
MATHEMATICS WORKSHEET NO. 1 (2022-23)
CH: 1 REAL NUMBERS
Name: _________ Class/Section: X/__ Roll
No.:____
1 The product of the HCF and LCM of the smallest prime number and the smallest composite
number is
a) 2 (b) 4 (c) 8 (d) 10m
2 If 3 is the least prime factor of the number ‘a’ and 7 is the least prime factor of number ‘b’, then the
least prime factor of a + b is
(a) 2 (b) 3 c) 5 (d) 10
3 141
The decimal expansion of the rational number will terminate after
120
(a) one decimal place (b) two decimal places
(c) three decimal places (d) four decimal places
4 HCF and LCM of two numbers is 9 and 459 respectively. If one of the numbers is 27,the other
number is :
(a)216 ( b)153 (c)199 (d)258
5 If LCM (91,26) = 182, then HCF (91,26) is
(a) 13 (b) 26 (c) 39 (d) 91
2
6 n −1 is divisible by 8 if n is
(a) an integer (b) a natural number (c) an odd integer (d) an even integer
7 Find the HCF of 96 and 404 by prime factorisation method. Hence find their LCM. (Ans: 4 , 9696)
8 Arnav has 40 cm long red and 84 cm long blue ribbon. He cuts each ribbon into pieces such that
all pieces are of equal length. Find the length of each piece. (Ans: 4 cm)
9 Find the smallest number which when divided by 35,56 and 91 leaves a remainder 7 in each case.
(Ans:3647)
1 Find the largest number that divides 245 and 1029 and leaves a remainder 5 in each case.
0 (Ans:16)
1 Find HCF by using Euclid’s division lemma: i) 2048 and 960 ii) 847 and 21609 (Ans: 64,1)
1
1 If the HCF of 408 and 1032 is expressible in the form of 1032m – 408 ×5, Find m. (Ans :2)
2
1 If two positive integers p and q are given as p = a 2 b3 and q = a 3 b , a, b are prime numbers then
3 verify that LCM ( p, q) X HCF(p ,q) = p q
1 LCM of two numbers is 45 times of their HCF. If one of the numbers is 125 and the sum of their
4 HCF and LCM is 1150, find the other number. (Ans:225)
1 A merchant has 120 litres of oil of one kind,180 litres of another kind and 240 litres of third kind.
5 He wants to sell the oil filling the three kinds of oil in tins of equal capacity. What should be the
greatest capacity? (Ans: 60 litres)
1 If 6370 = 2m. 5n. 7k. 13p, then find the values of m + n + k + p. (Ans: 5)
6
1 Find the least number which is divisible by all the numbers from 1 to 5. (Ans:60)
7
Page 1 of 2
Class: X Subject: Mathematics Worksheet No. 1 (2022 – 23)
MATHEMATICS WORKSHEET NO. 1 (2022-23)
CH: 1 REAL NUMBERS
Name: _________ Class/Section: X/__ Roll
No.:____
1 The product of the HCF and LCM of the smallest prime number and the smallest composite
number is
a) 2 (b) 4 (c) 8 (d) 10m
2 If 3 is the least prime factor of the number ‘a’ and 7 is the least prime factor of number ‘b’, then the
least prime factor of a + b is
(a) 2 (b) 3 c) 5 (d) 10
3 141
The decimal expansion of the rational number will terminate after
120
(a) one decimal place (b) two decimal places
(c) three decimal places (d) four decimal places
4 HCF and LCM of two numbers is 9 and 459 respectively. If one of the numbers is 27,the other
number is :
(a)216 ( b)153 (c)199 (d)258
5 If LCM (91,26) = 182, then HCF (91,26) is
(a) 13 (b) 26 (c) 39 (d) 91
2
6 n −1 is divisible by 8 if n is
(a) an integer (b) a natural number (c) an odd integer (d) an even integer
7 Find the HCF of 96 and 404 by prime factorisation method. Hence find their LCM. (Ans: 4 , 9696)
8 Arnav has 40 cm long red and 84 cm long blue ribbon. He cuts each ribbon into pieces such that
all pieces are of equal length. Find the length of each piece. (Ans: 4 cm)
9 Find the smallest number which when divided by 35,56 and 91 leaves a remainder 7 in each case.
(Ans:3647)
1 Find the largest number that divides 245 and 1029 and leaves a remainder 5 in each case.
0 (Ans:16)
1 Find HCF by using Euclid’s division lemma: i) 2048 and 960 ii) 847 and 21609 (Ans: 64,1)
1
1 If the HCF of 408 and 1032 is expressible in the form of 1032m – 408 ×5, Find m. (Ans :2)
2
1 If two positive integers p and q are given as p = a 2 b3 and q = a 3 b , a, b are prime numbers then
3 verify that LCM ( p, q) X HCF(p ,q) = p q
1 LCM of two numbers is 45 times of their HCF. If one of the numbers is 125 and the sum of their
4 HCF and LCM is 1150, find the other number. (Ans:225)
1 A merchant has 120 litres of oil of one kind,180 litres of another kind and 240 litres of third kind.
5 He wants to sell the oil filling the three kinds of oil in tins of equal capacity. What should be the
greatest capacity? (Ans: 60 litres)
1 If 6370 = 2m. 5n. 7k. 13p, then find the values of m + n + k + p. (Ans: 5)
6
1 Find the least number which is divisible by all the numbers from 1 to 5. (Ans:60)
7
Page 1 of 2
Class: X Subject: Mathematics Worksheet No. 1 (2022 – 23)
