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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 961 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.One number is 6 times another. Their difference is 40. What is the smaller number?
  3. 3.One number is 5 times another. Their difference is 80. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 76. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 135. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 260. What is the largest of them?
  10. 10.The sum of two numbers is 70 and their difference is 54. What is the larger number?
  11. 11.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 135. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 8. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  17. 17.The sum of two numbers is 110 and their difference is 40. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  19. 19.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  21. 21.One number is 3 times another. Their difference is 44. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  23. 23.The sum of 4 consecutive numbers is 246. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 175. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 112. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  29. 29.The sum of two numbers is 125 and their difference is 13. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 105. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 16. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 64. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 87. What is the smaller number?
  36. 36.The sum of two numbers is 91 and their difference is 43. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  38. 38.One number is 5 times another. Their difference is 100. What is the smaller number?
  39. 39.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?
  40. 40.One number is 3 times another. Their difference is 56. What is the smaller number?

Answer key

  1. 89
  2. 8
  3. 20
  4. 19
  5. 34
  6. 46
  7. 37
  8. 13
  9. 54
  10. 62
  11. 47
  12. 27
  13. 41
  14. 68
  15. 4
  16. 42
  17. 35
  18. 9
  19. 60
  20. 72
  21. 22
  22. 47
  23. 63
  24. 35
  25. 28
  26. 11
  27. 59
  28. 18
  29. 56
  30. 47
  31. 48
  32. 23
  33. 16
  34. 32
  35. 29
  36. 24
  37. 51
  38. 25
  39. 35
  40. 28

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