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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 42 · 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 8:29? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 158 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 57 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 42 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 104 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 58 minutes? =
  7. 7.A clock shows 4:49. What time will it show 89 minutes later? (a) 6:08 (b) 7:18 (c) 6:18 (d) 6:28
  8. 8.A clock shows 3:00. What time will it show 118 minutes later? (a) 5:08 (b) 4:48 (c) 5:58 (d) 4:58
  9. 9.A clock shows 5:12. What time will it show 44 minutes later? (a) 6:56 (b) 6:06 (c) 5:56 (d) 5:46
  10. 10.A clock shows 3:44. What time will it show 89 minutes later? (a) 5:23 (b) 6:13 (c) 5:03 (d) 5:13
  11. 11.How many degrees does the hour hand of a clock turn in 94 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 14 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  16. 16.A clock shows 7:54. What time will it show 42 minutes later? (a) 8:36 (b) 9:36 (c) 8:46 (d) 8:26
  17. 17.A clock shows 3:13. What time will it show 47 minutes later? (a) 5:00 (b) 4:10 (c) 4:00 (d) 3:50
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  19. 19.A clock shows 2:51. What time will it show 65 minutes later? (a) 3:46 (b) 4:56 (c) 4:06 (d) 3:56
  20. 20.How many degrees does the hour hand of a clock turn in 45 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  24. 24.A clock shows 1:23. What time will it show 127 minutes later? (a) 3:30 (b) 3:20 (c) 3:40 (d) 4:30
  25. 25.A clock shows 9:10. What time will it show 14 minutes later? (a) 9:34 (b) 9:24 (c) 9:14 (d) 10:24
  26. 26.How many degrees does the hour hand of a clock turn in 179 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 32 minutes? =
  28. 28.A clock shows 10:24. What time will it show 49 minutes later? (a) 11:23 (b) 11:03 (c) 11:13 (d) 12:13
  29. 29.A clock shows 4:50. What time will it show 57 minutes later? (a) 5:37 (b) 6:47 (c) 5:57 (d) 5:47
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 29 minutes? =
  34. 34.A clock shows 9:33. What time will it show 102 minutes later? (a) 11:25 (b) 11:05 (c) 12:15 (d) 11:15
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  36. 36.A clock shows 5:38. What time will it show 77 minutes later? (a) 6:55 (b) 7:55 (c) 6:45 (d) 7:05
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 118 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 120 minutes? =

Answer key

  1. 80.5
  2. 79
  3. 342
  4. 252
  5. 52
  6. 348
  7. 6:18
  8. 4:58
  9. 5:56
  10. 5:13
  11. 47
  12. 60
  13. 84
  14. 84.5
  15. 104
  16. 8:36
  17. 4:00
  18. 129.5
  19. 3:56
  20. 22.5
  21. 100
  22. 121
  23. 91.5
  24. 3:30
  25. 9:24
  26. 89.5
  27. 192
  28. 11:13
  29. 5:47
  30. 86.5
  31. 87
  32. 18
  33. 174
  34. 11:15
  35. 118.5
  36. 6:55
  37. 37
  38. 59
  39. 43
  40. 60

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