The HCF of 8 and 12 is 4 and the LCM of 6 and 8 is 24, so this Class 10 sheet opens with the two factor-based numbers of the chapter. The answers then record 22/7 and a terminating decimal among the later results.
Key Takeaways
The HCF of 8 and 12 is 4 (Q1).
The LCM of 6 and 8 is 24 (Q2).
Q4 records a terminating decimal answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The HCF of 8 and 12 is
(a) 2(b) 4(c) 6(d) 24
2.The LCM of 6 and 8 is
(a) 12(b) 24(c) 48(d) 2
3.Which of the following is a rational number?
(a) √2(b) π(c) 22/7(d) √3
4.The decimal expansion of 1/8 is
(a) Terminating(b) Non-terminating repeating(c) Non-terminating non-repeating(d) None of these
5.The HCF of two numbers is 5 and their product is 75. Their LCM is
(a) 15(b) 25(c) 75(d) 375
6.The HCF of two consecutive odd numbers is
(a) 1(b) 2(c) 3(d) Their product
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Express 140 as a product of its prime factors.
8.State the fundamental theorem of arithmetic.
9.Find the HCF of 18 and 24 using the prime factorisation method.
10.Find the LCM of 12 and 18.
11.Give a reason why √5 is an irrational number.
12.Write the decimal expansion of 3/5.
13.Without actual division, state whether 9/15 has a terminating or a non-terminating decimal expansion.
14.Find the HCF of 96 and 404 using the division method.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A shopkeeper has two rolls of ribbon of lengths 84 cm and 120 cm. He cuts them into equal pieces of the greatest possible length. Find the length of each piece.
16.Traffic lights on three roads change after 48 s, 72 s and 108 s. If they change simultaneously at 8:00 am, after how much time will they change together again?
17.The product of two numbers is 1296 and their HCF is 18. Find their LCM.
18.A rectangular floor is 1500 cm long and 1200 cm wide. Find the side of the largest square tile that can cover it exactly without cutting any tile.
19.Three buckets contain 24 L, 36 L and 48 L of milk. Find the capacity of the largest container that can measure each quantity exactly.
20.A circular path runs around a park. Sonu takes 18 minutes to complete one round and Monu takes 12 minutes. If they start together from the same point at 6:00 am, at what time will they be together at the starting point again?
Answer Key
1. b) 4
2. b) 24
3. c) 22/7
4. a) Terminating
5. a) 15
6. a) 1
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the HCF of 8 and 12?
4, option (b) in this worksheet (Q1).
What is the LCM of 6 and 8?
24, option (b) in this worksheet (Q2).
Which kind of decimal is recorded at Q4?
A terminating decimal, option (a) in this worksheet (Q4).
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