Uzbekistan Presidential Schools Admission Test · Mathematics

Number and Arithmetic Problems

53 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 53 questions

  1. Nodira has 48 stickers and gives one third to her brother. How many does she keep?
  2. What is 15% of 200?
  3. What is the smallest number divisible by 4, 6 and 10?
  4. The average of five numbers is 12. A sixth number, 18, is added. What is the new average?
  5. A shirt costs 80,000 soums. It is reduced by 25%, then a coupon takes off 10,000 soums. What is the final price?
  6. What is the value of 3 + 4 x 5 - 6 / 2?
  7. Which fraction is the largest: 5/8, 2/3, 7/12 or 3/5?
  8. What is the sum of the whole numbers from 1 to 10?
  9. A number is multiplied by 3 and then 7 is added. The result is 40. What is the number?
  10. What is the remainder when 1000 is divided by 7?
  11. Two numbers add up to 50 and differ by 14. What is the larger number?
  12. How many prime numbers are there between 20 and 40?
  13. Round 4,567 to the nearest hundred.
  14. A train travels 240 km in 3 hours. At the same speed, how long does it take to travel 400 km?
  15. One tap fills a tank in 6 hours and another fills it in 3 hours. How long do they take together?
  16. Which fraction is equal to 0.125?
  17. What is the greatest common divisor of 84 and 126?
  18. A price rises by 20% and then falls by 20%. How does the final price compare with the original?
  19. What is the value of the square root of 144 plus 5 squared?
  20. How many two-digit numbers are divisible by 7?
  21. Evaluate .
  22. Find the highest common factor (HCF) of and .
  23. A bus travels at for hours. How far does it travel?
  24. A ladder long leans against a vertical wall with its foot from the wall. How high up the wall does it reach?
  25. Two similar triangles have corresponding sides in the ratio . The area of the smaller triangle is . Find the area of the larger triangle.
  26. Find the median of .
  27. A bag has 6 red and 5 blue marbles. One marble is picked at random. Find the probability that it is blue.
  28. Find the sum of the first terms of the arithmetic progression
  29. Solve .
  30. A box contains 8 red and 7 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different colours.
  31. The length of a rectangle is more than its width. Its area is . Find the width.
  32. Evaluate and give the answer in standard form.
  33. Expand and simplify .
  34. How many positive integers satisfy ?
  35. In an arithmetic progression the term number is and the term number is . Find the term number .
  36. Evaluate .
  37. Find the highest common factor (HCF) of and .
  38. The angles of a triangle are in the ratio . Find the largest angle.
  39. A rectangle by has a square of side cut from one corner. Find the area of the remaining shape.
  40. The table shows the number of books read by students: book (9 students), books (8), books (7), books (1). Find the mean number of books.
  41. Find the sum of the first terms of the arithmetic progression
  42. A box contains 4 red and 4 blue balls. Two balls are taken one after the other without putting the first back. Find the probability that both are red.
  43. The length of a rectangle is more than its width. Its area is . Find the width.
  44. On a map with scale , two towns are apart. Find the real distance in km.
  45. Expand and simplify .
  46. Find the least integer value of that satisfies .
  47. Evaluate .
  48. The diagonal of a rectangle is and one side is . Find the area of the rectangle.
  49. A rectangle by has a square of side cut from one corner. Find the area of the remaining shape.
  50. A bag has 5 red and 4 blue marbles. One marble is picked at random. Find the probability that it is blue.
  51. Find the sum of the first terms of the arithmetic progression
  52. Solve .
  53. A box contains 4 red and 5 blue balls. Two balls are taken one after the other without putting the first back. Find the probability that both are red.

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