Q 1: Answer the following questions:
1. Write the first 3 multiples of 21.
2. Which of the following numbers are composite?
2, 7, 15, 27, 29, 37, 53, 69, 87.
Q 2: Write two prime numbers whose difference is 1.
Q 3: Write all composite numbers between 90 and 100.
Q 4: Which of the following pairs are coprime?
1. 18 and 30
2. 35 and 52
Q 5: Is it possible that a number is divisible by 8 but not divisible by 4?
Q 6: Which of these numbers are divisible by 3 or 4 or both?
1. 87,342
2. 23,148
Q 7: Test the divisibility of the following numbers by 3:
1. 90,82,746
2. 70,335
Q 8: Test the divisibility of the following numbers by 5:
1. 2,01,234
2. 4,37,839
Q 9: Test the divisibility of the following numbers by 9:
1. 3,478
2. 8,74,512
Q 10: Test the divisibility of the following numbers by 11:
1. 1,00,01,001
2. 5,335
Q 11: In each of the following numbers, replace * by the smallest number to make it divisible by 9:
1. 66784 *
2. 5321 * 43
Q 12: Test the divisibility of the following numbers by 4:
1. 7,314
2. 9,31,105
Q 13: Find the H.C.F. of:
1. 14 and 35
2. 15 and 35
3. 30, 75 and 90
4. 8 and 40
Q 14: Find all the common factors of:
1. 16 and 40
2. 18 and 45
3. 12 and 15
4. 52 and 117
Q 15: Find the L.C.M. of the following numbers:
1. 5 and 8
2. 4 and 9
3. 12 and 15
4. 26 and 15
5. 8, 10 and 12
6. 6 and 10
7. 9 and 11
Q 16: Write in the product form:
1. 24 × 52 × 32
2. 65 × 26 × 32
3. 67 × 105
4. 48
Q 17: Fill the vacant circles in each of the following factor trees.
Q 18: Find the HCF of the following numbers by long division method:
1. 40, 75
2. 24, 64
3. 27, 45
4. 81, 117
5. 18, 45, 36
6. 54, 96, 120
7. 70, 98, 154
Q 19: Find the L.C.M. by prime factorisation method:
1. 15 and 20
2. 24 and 36
3. 42 and 91
4. 50 and 105
5. 4, 36 and 52
6. 10, 35 and 40
7. 12 and 18
Q 20: Answer the following questions:
1. The HCF of two numbers is 19 and their LCM is 228. If one of the numbers is 57, find the other.
2. The product of two numbers is 25,024 and their H.C.F. is 8. Find their L.C.M.
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1. What is HCF and how is it different from LCM? |
2. How can I find the HCF of two numbers? |
3. What are some real-life examples of LCM? |
4. How do you calculate the LCM of two numbers? |
5. Can HCF and LCM be calculated for more than two numbers? |
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