Assignment-001 Class 10th Maths

IMPORTANT QUESTIONS (CHAPTER 1 – 5)

(LEVEL 1)

  1. State Euclid division lemma.
  2. State Fundamental Theorem of Arithmetic.
  3. Find the HCF of 105 and 245 by Euclid division algorithm.
  4. Express 296 as a product of its primes
  5. Find the HCF and LCM of 75 and 160 by Fundamental theorem of Arithmetic and verify LCM x HCF = product of two numbers
  6. If HCF of 30 and 45 is 15. Find the LCM.
  7. Prove 5 + 2√3 is irrational
  8. Check whether 17/210 is terminating or non-terminating.          x                                            x’
  9. Find the zeros and verify the relation between zeros and

coefficients of (i) x2 + 11x + 30 (ii) x2 – 9

  1. Find the number of zeros of in fig (i)                                                                                    fig (i)
  2. Find a quadratic polynomial whose sum and product of zeros are 1/3 and -1/3
  3. Divide 3x2 – x3 – 3x + 5 by x – 1 – x2 and verify the division algorithm
  4. On dividing 2x3 + 4x2 + 5x + 7 by g(x) the quotient and remainder are 2x and 7 – 5x respectively. Find g(x)
  5. State the condition so that the pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have no solution, unique solution or infinite solution.
  6. For what value of k the eq. kx + 3y – (k – 3) = 0 and 12x + ky – k have infinite many solution
  7. Check whether 7x + 3y = 27 and 2x + 5y = 16 have unique solution, no solution or infinite many solution.
  8. Check whether 2x + 3y = 7 and 4x + 6y = 16 are consistent or inconsistent.
  9. Find k if kx + 3y + 1 = and 2x + y + 3 =0 has unique solution.
  10. Check whether 5x – 3y = 11 and -10x + 6y = -22 represent an intersecting lines, parallel lines or coincident lines.
  11. Solve: 2/x + 2/3y = 1/6 and 3/x + 2/y = 0
  12. Solve graphically x – y + 1 =0 and 3x + 2y – 12 = 0
  13. Solve 6x + 3y = 6xy and 2x + 4y = 5xy
  14. Check whether x = -1 is a solution of equation 4x2 – 3x – 1 = 0
  15. Find k if one root of equation x2 + kx – 4 = 0
  16. Solve by factorization: 9x2 – 3x – 20 = 0
  17. Solve by completing square method: 6x2 – 13x – 5 = 0
  18. Find the nature of roots of equation 9x2 + 12x + 4 = 0
  19. Find k if 2kx2 + 6x + 5 = 0 has equal roots.
  20. Solve x – 1/x = 3
  21. Find the 20th term of the AP 7, 3, -1, -5 ……
  22. Write the AP whose 3rd term is 5 and 7th term is 9.
  23. Determine 15th term from the end of the AP 8, 13, 18, …….. 153
  24. nth term of an AP is given by 5n – 3. Find the AP
  25. Find the sum of 20 terms of the AP 5, 8, 11, 14
  26. Which term of the AP 3, 8, 13, …… is 78.
  27. Check whether 301 is a term of A.P. 5, 11, 17, 23
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