SEE (Secondary Education Examination, Nepal) ยท Mathematics

Mixed problems

45 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 45 questions

  1. The price of a sofa is 800. It is first increased by 25% and then the new price is decreased by 10%. What is the final price?
  2. 75% of a number is 225. What is the number?
  3. The mean of 4 numbers is 81. Of them, 3 are 93, 88, 90. What is the remaining number?
  4. What is the difference between the compound interest and the simple interest on 4000 for 3 years at 8% per year (compounded annually)?
  5. A rectangle has length 14 cm and width 7 cm. A square of side 1 cm is cut from one corner. What is the area of the remaining shape, in cm?
  6. A right triangle has legs of length 12 and 16. What is the length of its hypotenuse?
  7. A jar contains 3 red and 4 blue counters. Two counters are drawn at random without replacement. What is the probability that both are red?
  8. In how many ways can a delegation of 4 people be chosen from a group of 5 people?
  9. If and , what is ?
  10. An arithmetic sequence has first term 6 and common difference 2. What is the sum of its first 9 terms?
  11. How many integers satisfy ?
  12. On a map with scale 1 : 50000, two towns are 16 cm apart. What is the real distance in kilometres?
  13. A father is three times as old as his son. In 3 years the father's age will be 6 more than twice the son's age. How old is the son now?
  14. What is the median of the numbers 19, 26, 17, 2, 30, 15, 24, 11, 30?
  15. A line passes through the points and . What is its slope?
  16. What is the sum of the interior angles of a convex polygon with 11 sides?
  17. A cylinder has radius 7 cm and height 10 cm. What is its volume, in cm, in terms of ?
  18. A shop buys a tablet for 200, marks it up by 30% and then sells it at a 15% discount on the marked price. What is the profit (negative if a loss)?
  19. What is the least common multiple of 36 and 21?
  20. If and , what is ?
  21. How many integers from 1 to 31 are divisible by 3 or by 6 (or both)?
  22. If , what is the value of ?
  23. The price of a jacket is 100. It is first increased by 50% and then the new price is decreased by 10%. What is the final price?
  24. 15% of a number is 30. What is the number?
  25. The mean of 4 numbers is 72. Of them, 3 are 63, 73, 77. What is the remaining number?
  26. What is the difference between the compound interest and the simple interest on 5000 for 3 years at 6% per year (compounded annually)?
  27. A rectangle has length 10 cm and width 3 cm. A square of side 2 cm is cut from one corner. What is the area of the remaining shape, in cm?
  28. A right triangle has legs of length 7 and 24. What is the length of its hypotenuse?
  29. A jar contains 5 red and 6 blue counters. Two counters are drawn at random without replacement. What is the probability that both are red?
  30. In how many ways can a committee of 3 people be chosen from a group of 9 people?
  31. The equation has two roots. What is the sum of the squares of the roots?
  32. If and , what is ?
  33. An arithmetic sequence has first term 9 and common difference 6. What is the sum of its first 18 terms?
  34. How many integers satisfy ?
  35. On a map with scale 1 : 50000, two towns are 3 cm apart. What is the real distance in kilometres?
  36. A father is three times as old as his son. In 5 years the father's age will be 4 more than twice the son's age. How old is the son now?
  37. What is the median of the numbers 4, 18, 22, 11, 9, 27, 10, 3, 11?
  38. A line passes through the points and . What is its slope?
  39. What is the sum of the interior angles of a convex polygon with 12 sides?
  40. What is the least common multiple of 12 and 16?
  41. If and , what is ?
  42. How many integers from 1 to 40 are divisible by 5 or by 4 (or both)?
  43. If , what is the value of ?
  44. The price of a coat is 400. It is first increased by 30% and then the new price is decreased by 30%. What is the final price?
  45. 20% of a number is 12. What is the number?

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