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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 732 · 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.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?
  2. 2.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 186. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 234. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 270. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  7. 7.The sum of two numbers is 28 and their difference is 16. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  9. 9.The sum of two numbers is 90 and their difference is 50. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 108. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  12. 12.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?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  14. 14.One number is 2 times another. Their difference is 39. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  16. 16.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  20. 20.The sum of two numbers is 131 and their difference is 5. What is the smaller number?
  21. 21.The sum of two numbers is 50 and their difference is 8. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 58. What is the smaller number?
  23. 23.The sum of two numbers is 85 and their difference is 1. What is the larger number?
  24. 24.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  25. 25.One number is 2 times another. Their difference is 35. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 159. What is the largest of them?
  28. 28.The sum of two numbers is 128 and their difference is 64. What is the larger number?
  29. 29.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  31. 31.The sum of two numbers is 119 and their difference is 35. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 170. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.The sum of 5 consecutive numbers is 155. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 150. What is the smaller number?
  37. 37.The sum of two numbers is 71 and their difference is 11. What is the smaller number?
  38. 38.One number is 2 times another. Their difference is 8. What is the smaller number?
  39. 39.The sum of two numbers is 79 and their difference is 5. What is the larger number?
  40. 40.The sum of 5 consecutive numbers is 45. What is the smallest of them?

Answer key

  1. 59
  2. 80
  3. 48
  4. 60
  5. 56
  6. 68
  7. 6
  8. 71
  9. 70
  10. 37
  11. 8
  12. 78
  13. 28
  14. 39
  15. 11
  16. 47
  17. 13
  18. 39
  19. 42
  20. 63
  21. 21
  22. 29
  23. 43
  24. 15
  25. 35
  26. 63
  27. 54
  28. 96
  29. 34
  30. 37
  31. 42
  32. 44
  33. 47
  34. 79
  35. 33
  36. 30
  37. 30
  38. 8
  39. 42
  40. 7

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