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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 253 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.A clock shows 3:15. What time will it show 69 minutes later? (a) 4:34 (b) 4:14 (c) 4:24 (d) 5:24
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 4 minutes? =
  4. 4.A clock shows 3:41. What time will it show 18 minutes later? (a) 4:09 (b) 4:59 (c) 3:59 (d) 3:49
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  6. 6.A clock shows 3:14. What time will it show 13 minutes later? (a) 4:27 (b) 3:17 (c) 3:37 (d) 3:27
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 7 minutes? =
  10. 10.A clock shows 6:37. What time will it show 116 minutes later? (a) 9:33 (b) 8:33 (c) 8:43 (d) 8:23
  11. 11.A clock shows 2:47. What time will it show 30 minutes later? (a) 4:17 (b) 3:07 (c) 3:17 (d) 3:27
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  13. 13.A clock shows 5:17. What time will it show 158 minutes later? (a) 7:45 (b) 8:55 (c) 8:05 (d) 7:55
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  16. 16.A clock shows 12:47. What time will it show 170 minutes later? (a) 3:47 (b) 3:37 (c) 4:37 (d) 3:27
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
  18. 18.A clock shows 2:03. What time will it show 91 minutes later? (a) 3:44 (b) 4:34 (c) 3:24 (d) 3:34
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 147 minutes? =
  21. 21.A clock shows 4:00. What time will it show 32 minutes later? (a) 5:32 (b) 4:32 (c) 4:42 (d) 4:22
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  23. 23.A clock shows 12:59. What time will it show 85 minutes later? (a) 3:24 (b) 2:14 (c) 2:24 (d) 2:34
  24. 24.How many degrees does the minute hand of a clock turn in 28 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 52 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 86 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  29. 29.A clock shows 3:59. What time will it show 168 minutes later? (a) 6:47 (b) 6:57 (c) 7:47 (d) 6:37
  30. 30.How many degrees does the minute hand of a clock turn in 18 minutes? =
  31. 31.A clock shows 10:01. What time will it show 92 minutes later? (a) 11:43 (b) 11:33 (c) 12:33 (d) 11:23
  32. 32.How many degrees does the minute hand of a clock turn in 12 minutes? =
  33. 33.A clock shows 5:58. What time will it show 113 minutes later? (a) 7:41 (b) 7:51 (c) 8:51 (d) 8:01
  34. 34.A clock shows 12:54. What time will it show 73 minutes later? (a) 1:57 (b) 2:07 (c) 2:17 (d) 3:07
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 134 minutes? =
  38. 38.A clock shows 9:46. What time will it show 48 minutes later? (a) 10:44 (b) 10:34 (c) 10:24 (d) 11:34
  39. 39.A clock shows 1:45. What time will it show 164 minutes later? (a) 4:39 (b) 5:29 (c) 4:19 (d) 4:29
  40. 40.A clock shows 12:45. What time will it show 148 minutes later? (a) 4:13 (b) 3:23 (c) 3:13 (d) 3:03

Answer key

  1. 4:24
  2. 166.5
  3. 24
  4. 3:59
  5. 121.5
  6. 3:27
  7. 117.5
  8. 13.5
  9. 42
  10. 8:33
  11. 3:17
  12. 61
  13. 7:55
  14. 119
  15. 164.5
  16. 3:37
  17. 175.5
  18. 3:34
  19. 107.5
  20. 73.5
  21. 4:32
  22. 133
  23. 2:24
  24. 168
  25. 312
  26. 162
  27. 43
  28. 32
  29. 6:47
  30. 108
  31. 11:33
  32. 72
  33. 7:51
  34. 2:07
  35. 37
  36. 116
  37. 67
  38. 10:34
  39. 4:29
  40. 3:13

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