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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 818 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.One number is 3 times another. Their difference is 6. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  3. 3.The sum of two numbers is 47 and their difference is 27. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  5. 5.One number is 4 times another. Their difference is 48. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 150. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 134. What is the largest of them?
  8. 8.One number is 4 times another. Their difference is 96. What is the smaller number?
  9. 9.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.One number is 2 times another. Their difference is 31. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of 4 consecutive numbers is 138. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of 5 consecutive numbers is 60. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  18. 18.The sum of two numbers is 60 and their difference is 40. What is the larger number?
  19. 19.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.One number is 3 times another. Their difference is 16. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  22. 22.The sum of two numbers is 40 and their difference is 2. What is the larger number?
  23. 23.The sum of two numbers is 176 and their difference is 20. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 82. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  29. 29.One number is 4 times another. Their difference is 93. What is the smaller number?
  30. 30.The sum of two numbers is 161 and their difference is 29. What is the smaller number?
  31. 31.One number is 5 times another. Their difference is 44. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  33. 33.The sum of two numbers is 104 and their difference is 82. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  36. 36.The sum of two numbers is 80 and their difference is 62. What is the smaller number?
  37. 37.The sum of two numbers is 104 and their difference is 56. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  39. 39.The sum of two numbers is 25 and their difference is 9. What is the larger number?
  40. 40.One number is 3 times another. Their difference is 46. What is the smaller number?

Answer key

  1. 3
  2. 59
  3. 10
  4. 42
  5. 16
  6. 32
  7. 35
  8. 32
  9. 89
  10. 31
  11. 78
  12. 36
  13. 43
  14. 30
  15. 23
  16. 14
  17. 26
  18. 50
  19. 34
  20. 8
  21. 39
  22. 21
  23. 78
  24. 56
  25. 69
  26. 22
  27. 51
  28. 44
  29. 31
  30. 66
  31. 11
  32. 60
  33. 11
  34. 27
  35. 14
  36. 9
  37. 24
  38. 28
  39. 17
  40. 23

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