Compulsory Mathematics Class 10 First Internal Examination

Community School's Cluster (CSC), Kaski · Compulsory Mathematics (Class 10) · 2083 BS · First Internal Examination — 60 questions — a free old question paper on Goodone.club’s exam-paper archive.

  1. In the survey of a group of 200 students of a school, 110 students like to play football and 100 students liked to play volleyball. If 30 students like to play cricket only,
  2. In a survey of 500 female students, every student likes at least one of the three colours of ribbons i.e. red, blue or green. If the number of students who like only one colour is three times the number who like only two colours and 20% like all three,
  3. Ramesh borrowed Rs 16000 from a bank at 12.5% per annum simple interest and lent the whole amount to a shopkeeper at the same rate of compound interest. He closed the transaction at the end of 2 years.
  4. A person deposited Rs. 3,00,000 in a development bank for 2 years to get half-yearly compound interest at the rate of 10% per annum after deducting 5% tax on the interest. But after a year the bank changed the policy and decided to accomplish the interest terminally at the same rate.
  5. Ramesh had NRs 2,08,245. On the day he went to the bank the exchange rates were: Buying rate of $1 = NRs. 138.23; Selling rate of $1 = NRs. 138.83.
  6. An equation 2x^2 + 5x - 7 = 0 is given.
  7. The product of two consecutive positive odd numbers is 143.
  8. A two-digit number is four times the sum of its digits and three times the product of its digits.
  9. (2x^2+1)/(2x-1), (2x^2-1)/(2x+1) and 8x^3/(1-4x^2) are three simple algebraic fractions. Find the sum of all three fractions. [3 marks]
  10. In the given figure PS // QR, PQ // ST and M is the mid-point of QT.
  11. A parallelogram ABCD and a triangle BCE are standing on the same base BC and lying between the same parallel lines BC // AE.
  12. The speed of cars recorded in a driving test are shown in the table below.
  13. The first quartile of the given data is 633.33. The wages are shown in the table below.
  14. The mean of the given data is 32.5, where a is the frequency of class interval (30-40). The marks are shown in the table below.
  15. The following are the marks obtained by students in Mathematics in an examination: 19, 50, 21, 62, 46, 78, 23, 31, 44, 54, 51, 39, 45, 30, 61, 65, 74.