schooleducation.kar.nic.in SSLC Maths Question Bank & Answer Keys : Karnataka Department of Public Instruction

Organisation : Karnataka Department Of Public Instruction
Exam Name : SSLC
Subject : Maths
Document Type : Question Bank & Answer Keys
Location : Karnataka, India
Website : schooleducation.kar.nic.in

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Karnataka SSLC Maths Question Bank

I.Write the following division operations applying Euclids division algorithm:
1. 7 is divided by 2
2. 18 is divided by 5
3. 15 is divided by 4
4. 25 is divided by 12
5. 87 is divided by 11.

Related / Similar Question Bank :
Karnataka SSLC Science Question Bank

II.Find the HCF of the following numbers using Euclids division algorithm:
1. 455 and 42
2. 513 and 270
3. 1764 and 42
4. 40, 96 and 16
5. 117 and 7

III.Find the prime factors for the following numbers:
1. 35
2. 516
3. 31416
4. 4815
5. 363

IV. Find the LCM and HCF of the following numbers using prime factorisation method:
1. 18 and 15
2. 81 and 27
3. 2, 42 and 72
4. 9, 27 and 243
5. 49, 343 and 2401

V. Find the LCM and HCF of the following numbers and show that their product is equal to the product of their LCM and HCF:
1. 13 and 117
2. 17 and 119
3. 66 and 12
4. 13 and 17
5. 70 and 80

VI. Classify the following numbers into rational and irrational numbers:
1. 3
2. 11
3. 13
4. 25
5. 3 8
6. 23

VII. Four alternatives are provided for each question choose the most appropriate alternative:
1. 18 is divided by 4. The correct method to write the operation using Euclid’s division algorithm is:
(a) 18 = (4 × 4) + 0
(b) 18 = (4 + 4) × 2
(c) 18 = (4 × 4) + 2
(d) 18 = (18 ? 4) + 2

2. The greatest number that divides 45 and 30 without leaving any remainder is:
(a) 5
(b) 15
(c) 20
(d) 10

3. An even number is always in the form of:
(a) ‘n’
(b) 2n
(c) n + 1
(d) 2n + 1

4. An odd number is always in the form of:
(a) ‘n’
(b) 2n
(c) n + 1
(d) 2n + 1

5. The least number that is divisible by 12, 8 and 16 is:
(a) 4
(b) 24
(c) 96
(d) 48

V. Define an irrational number and give an example.

VI. What is the HCF and LCM of two prime numbers?:
I. Solve the following problems:
1. Find the least number, when it is divided by 39, 65 and 78 leaver 9 as remainder.
2. Find the greatest number that divides 48, 96, 108 without leaving any remainder.
3. Find the HCF of 96 and 404 by prime factorisation method and hence find their LCM.
4. Find the HCF of 4052 and 12576 using Eudid’s algorithm.
5. A rectangular hall is 16m, 32 cm long and 8m, 40 cm broad. It is to be paved with square tiles of the same size. Find the least possible number of such tiles.
6. Prove that 7 is an irrational number.
7. Prove that 1+ 2 is an irrational number.
8. Prove that all even numbers are divisible by 2.
9. Prove that all odd numbers are in the form 2m + 1.
10. The LCM and HCF of 2 numbers are 180 and 6 respectively. If one of the numbers is 30 find the other number.

II. Four alternatives are provided for each question. Choose the appropriate alternative:
1. The exponent of 2 in the prime factorisation of 384 is:
(a) 4
(b) 7
(c) 6
(d) 3

2. The product of two numbers is 180. The product of their HCF and LCM is:
(a) 90
(b) 180
(c) 360
(d) 200

4. The largest number that divides 24, 64 and 128 is:
(a) 8
(b) 128
(c) 24
(d) 64

I. Solve the following:
1. Find the HCF and LCM of 510 and 92 and verify that product of HCF and LCM is equal to product of them.
2. Two tankers contain 616l and 32l of petrol respectively. Find the maximum capacity container which can measure the petrol of either tanker the exact number of times.
3. The HCF of 65 and 117 is expressible in the form of 65m-117. Find the value of m and also find the LCM of 65 and 117 using prime factorisation method.
4. Prove that 2- 3 is an irrational number.
5. If ‘h’ is the HCF of 56 and 72, find x and y satisfying h = 56x + 72y.
6. Find the largest number that divides 2053 and 967 and leaves a remainder of 5 and 7 respectively.
7. There is a circular track of 1000m in a stadium. Shalini takes 8 minutes to complete one round where as salma takes 18 minutes to complete one round. Suppose they both start at the same point and run in the same direction, after how many minutes will they meet again at the starting point?
8. The HCF of two numbers is 84 and their product is 14112. Find their LCM.
9. Prove that 9+ 2 is an irrational number.
10. There are 3 signals in a straight road of length 5 km. Red light appears after 8 seconds in the first signal, after 12 seconds in the second signal and after 24 seconds in the third signal.Find out after how many seconds red light appears in all the three signals at a time.
11. If p and q are two odd positive integers then prove that p2 + q2 is an even number but is not divisible by 4.
12. If the LCM of two numbers is twice their HCF and their product is 800, then find the numbers.