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Saturday, July 29, 2023

Model slip tests on Real numbers-For more Practice-Useful to Formative Assessment

 Real Numbers 

Slip Test-1

Answer ALL questions. Total marks 20.

1. Find the Value of log2512 ? 

2. Find the HCF of 28 and 49 by using Euclid's division algorithm? 

3. If x2+y2= 16xy then find the value of 2log(x+y)? 

4. Find the decimal of  42⁄150  without performing actual division? 

5. Prove that 2 3  + 5  is an irrational number. 

6. LCM of 25 and 40 is.......................  (            )

a) 1000

b) 100

c) 200

d) 400

7.  756= a1 x bx c3 then the value of (a + b - c) =..................  (           ) 

a) 6

b) 7

c) 3

d) 10


To download Sliptest-1 in PDF click here




Slip Test-2

Answer ALL questions. Total marks 20.

1. Find the LCM of 50 and 60 by Prime factorisation method.

2. Find the  Value of log34349 .

3. Prove that 2 + 3 √ 5  is an irrational number .  

4. Expand : log 63⁄100 . 

5. Use Euclid's division algorithm to show that "square of a positive integer is of the form 4m or 4m+1". ( m is an integer)

6. HCF of any two prime numbers is......................  (            )

a) 0

b) 1

c) Prime number

d) Even number

7. The value of "2log3-log9" is...........................     (           )

a) log 3

b) log 9

c) 1

d) 0 


To download Sliptest-2 in PDF click here



Note: Q.No. 1 and 2 are Very short answer type questions. Carries each 2 Marks.

Q.No. 3 and 4 are Short answer type questions. Carries each 4 Marks.

Q.No. 5 is Long answer type question. Carries 6 Marks.

Q.No. 6 and 7 are Objective bits. carries each 1 Mark.

Monday, February 27, 2023

10th class-Mathematics-Model Problems-Important Questions-SSC Board Exams-Minimum Pass

1. Find the HCF of 42 and 56 by using Eclid's Division Algorithm.

2. Find LCM and HCF of 36 and 45 by Prime Factorization Method.

3. Find the centroid of the triangle whose vertices are (2, 6), (-3, 2) and (-2, 1).

4. Write the formula to find the median of a grouped data and Explain each term in it.

5. Write the formula to find the mode of a grouped data and Explain each term in it.

6. Write the formula to find the total surface area of a cylinder and Explain each term in it.

7. Write the formula to find the nth term of an Arithmetic Progression and Explain each term in it.

8. Write the formula to find the sum of 'n' terms of an Arithmetic Progression and Explain each term.

9. "The product of two consecutive odd numbers is 63" Express the data in the form of Quadratic equation.

10. " The cost of 2 pens and 5 pencils is Rs. 45" and "The cost of 4 pens and 3 pencils is Rs.55" Express the data in the form of Linear equations in two variables.

11. If A={x/x is a factor of 12} and B={x:x ∈ Z, -3<x<4} then find AUB, A∩B, A-B and B-A. And Show them in separate VENN diagrams.

12. If A={x/x is a factor of 16} and B={x:x ∈ W, x≤6} then show that (AUB)-(A∩B)=(A-B)U(B-A).

13. If A={x:x is a composite number and x<10} and B={x:x is an even number and x<10} then show that n(A)+n(B)=n(AUB)-n(A∩B).

14. Find the zeroes of Polynomial P(x)=x-x-2 by graphical method.

15. Solve the system of equations 2x-y-4=0 and 3x-2y=5 by graphical method.

16. Find the sum of numbers between 40 and 400 which leaves remainder 3 when divided by 5.

17. Find the Points of Trisection of line segment joining the points (3, -2) and (5, 4).