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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 64 · 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.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 4 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 42 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 15 minutes? =
  10. 10.A clock shows 5:24. What time will it show 132 minutes later? (a) 8:36 (b) 7:36 (c) 7:46 (d) 7:26
  11. 11.A clock shows 6:54. What time will it show 107 minutes later? (a) 8:31 (b) 8:51 (c) 8:41 (d) 9:41
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  13. 13.A clock shows 3:17. What time will it show 169 minutes later? (a) 7:06 (b) 5:56 (c) 6:06 (d) 6:16
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  16. 16.A clock shows 8:40. What time will it show 59 minutes later? (a) 9:29 (b) 10:39 (c) 9:39 (d) 9:49
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  20. 20.A clock shows 8:09. What time will it show 118 minutes later? (a) 10:17 (b) 9:57 (c) 11:07 (d) 10:07
  21. 21.How many degrees does the minute hand of a clock turn in 46 minutes? =
  22. 22.A clock shows 8:08. What time will it show 133 minutes later? (a) 10:31 (b) 10:21 (c) 11:21 (d) 10:11
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 29 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  27. 27.A clock shows 12:34. What time will it show 83 minutes later? (a) 2:07 (b) 2:57 (c) 1:57 (d) 1:47
  28. 28.How many degrees does the minute hand of a clock turn in 50 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  30. 30.A clock shows 5:02. What time will it show 64 minutes later? (a) 7:06 (b) 6:16 (c) 5:56 (d) 6:06
  31. 31.A clock shows 8:12. What time will it show 22 minutes later? (a) 8:34 (b) 9:34 (c) 8:44 (d) 8:24
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 26 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 117 minutes? =
  35. 35.A clock shows 4:40. What time will it show 95 minutes later? (a) 6:15 (b) 6:05 (c) 6:25 (d) 7:15
  36. 36.A clock shows 9:14. What time will it show 161 minutes later? (a) 12:05 (b) 12:55 (c) 11:45 (d) 11:55
  37. 37.A clock shows 6:43. What time will it show 169 minutes later? (a) 9:42 (b) 10:32 (c) 9:32 (d) 9:22
  38. 38.A clock shows 6:58. What time will it show 126 minutes later? (a) 9:14 (b) 8:54 (c) 10:04 (d) 9:04
  39. 39.How many degrees does the hour hand of a clock turn in 50 minutes? =
  40. 40.A clock shows 5:15. What time will it show 13 minutes later? (a) 5:38 (b) 5:18 (c) 5:28 (d) 6:28

Answer key

  1. 17
  2. 24
  3. 136
  4. 69
  5. 98
  6. 118.5
  7. 252
  8. 40.5
  9. 7.5
  10. 7:36
  11. 8:41
  12. 108.5
  13. 6:06
  14. 104
  15. 173
  16. 9:39
  17. 23
  18. 87.5
  19. 90
  20. 10:07
  21. 276
  22. 10:21
  23. 4
  24. 174
  25. 179.5
  26. 139.5
  27. 1:57
  28. 300
  29. 164
  30. 6:06
  31. 8:34
  32. 63
  33. 156
  34. 58.5
  35. 6:15
  36. 11:55
  37. 9:32
  38. 9:04
  39. 25
  40. 5:28

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