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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 96 · 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 sum of two numbers is 78 and their difference is 74. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 98. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  4. 4.One number is 3 times another. Their difference is 34. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 140. What is the smaller number?
  6. 6.The sum of two numbers is 69 and their difference is 49. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 66. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  11. 11.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 7. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 50. What is the smaller number?
  15. 15.One number is 6 times another. Their difference is 40. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 165. What is the largest of them?
  19. 19.One number is 2 times another. Their difference is 4. What is the smaller number?
  20. 20.The sum of two numbers is 28 and their difference is 6. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  22. 22.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?
  23. 23.The sum of two numbers is 134 and their difference is 18. What is the larger number?
  24. 24.The sum of 5 consecutive numbers is 215. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  26. 26.The sum of two numbers is 116 and their difference is 8. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 10. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  30. 30.The sum of two numbers is 46 and their difference is 16. What is the smaller number?
  31. 31.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?
  32. 32.The sum of two numbers is 90 and their difference is 4. What is the smaller number?
  33. 33.The sum of two numbers is 15 and their difference is 5. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  37. 37.One number is 6 times another. Their difference is 135. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  39. 39.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 27. What is the smaller number?

Answer key

  1. 2
  2. 26
  3. 29
  4. 17
  5. 35
  6. 10
  7. 78
  8. 59
  9. 33
  10. 36
  11. 25
  12. 46
  13. 7
  14. 25
  15. 8
  16. 35
  17. 42
  18. 35
  19. 4
  20. 11
  21. 26
  22. 89
  23. 76
  24. 45
  25. 71
  26. 54
  27. 10
  28. 23
  29. 31
  30. 15
  31. 59
  32. 43
  33. 5
  34. 35
  35. 48
  36. 25
  37. 27
  38. 76
  39. 47
  40. 27

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