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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 794 · 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.How many degrees does the hour hand of a clock turn in 133 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 16 minutes? =
  4. 4.A clock shows 2:43. What time will it show 29 minutes later? (a) 3:22 (b) 3:02 (c) 4:12 (d) 3:12
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  8. 8.A clock shows 1:23. What time will it show 136 minutes later? (a) 3:49 (b) 3:29 (c) 3:39 (d) 4:39
  9. 9.How many degrees does the minute hand of a clock turn in 52 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  11. 11.A clock shows 2:45. What time will it show 129 minutes later? (a) 5:04 (b) 4:54 (c) 4:44 (d) 5:54
  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 7:13. What time will it show 71 minutes later? (a) 9:24 (b) 8:24 (c) 8:34 (d) 8:14
  14. 14.How many degrees does the minute hand of a clock turn in 26 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  16. 16.A clock shows 4:45. What time will it show 44 minutes later? (a) 5:19 (b) 5:39 (c) 5:29 (d) 6:29
  17. 17.A clock shows 9:55. What time will it show 35 minutes later? (a) 10:30 (b) 10:20 (c) 10:40 (d) 11:30
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  19. 19.A clock shows 3:27. What time will it show 45 minutes later? (a) 5:12 (b) 4:12 (c) 4:22 (d) 4:02
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  21. 21.A clock shows 10:17. What time will it show 158 minutes later? (a) 12:55 (b) 1:55 (c) 1:05 (d) 12:45
  22. 22.A clock shows 8:09. What time will it show 87 minutes later? (a) 9:36 (b) 10:36 (c) 9:26 (d) 9:46
  23. 23.How many degrees does the minute hand of a clock turn in 57 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 11 minutes? =
  25. 25.A clock shows 3:18. What time will it show 40 minutes later? (a) 4:08 (b) 3:58 (c) 3:48 (d) 4:58
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 97 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 12 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
  31. 31.A clock shows 10:49. What time will it show 14 minutes later? (a) 11:13 (b) 12:03 (c) 10:53 (d) 11:03
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  33. 33.A clock shows 7:44. What time will it show 39 minutes later? (a) 8:33 (b) 8:23 (c) 9:23 (d) 8:13
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  37. 37.A clock shows 3:21. What time will it show 58 minutes later? (a) 4:19 (b) 4:09 (c) 4:29 (d) 5:19
  38. 38.How many degrees does the hour hand of a clock turn in 119 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  40. 40.A clock shows 3:05. What time will it show 11 minutes later? (a) 4:16 (b) 3:16 (c) 3:06 (d) 3:26

Answer key

  1. 66.5
  2. 147
  3. 96
  4. 3:12
  5. 134.5
  6. 22
  7. 21.5
  8. 3:39
  9. 312
  10. 120.5
  11. 4:54
  12. 108.5
  13. 8:24
  14. 156
  15. 59
  16. 5:29
  17. 10:30
  18. 31.5
  19. 4:12
  20. 29.5
  21. 12:55
  22. 9:36
  23. 342
  24. 66
  25. 3:58
  26. 28.5
  27. 48.5
  28. 123
  29. 72
  30. 48
  31. 11:03
  32. 121
  33. 8:23
  34. 106
  35. 22.5
  36. 5.5
  37. 4:19
  38. 59.5
  39. 76.5
  40. 3:16

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