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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 290 · 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 minute hand of a clock turn in 39 minutes? =
  2. 2.How many degrees does the hour hand of a clock turn in 25 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  5. 5.A clock shows 11:33. What time will it show 54 minutes later? (a) 12:17 (b) 12:27 (c) 12:37 (d) 1:27
  6. 6.A clock shows 4:54. What time will it show 31 minutes later? (a) 5:15 (b) 6:25 (c) 5:35 (d) 5:25
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 80 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  11. 11.A clock shows 7:09. What time will it show 115 minutes later? (a) 9:04 (b) 8:54 (c) 9:14 (d) 10:04
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
  13. 13.A clock shows 3:13. What time will it show 64 minutes later? (a) 5:17 (b) 4:27 (c) 4:17 (d) 4:07
  14. 14.How many degrees does the hour hand of a clock turn in 104 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  16. 16.A clock shows 1:05. What time will it show 107 minutes later? (a) 3:02 (b) 2:42 (c) 3:52 (d) 2:52
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 45 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 72 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 36 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  25. 25.A clock shows 9:06. What time will it show 36 minutes later? (a) 9:52 (b) 10:42 (c) 9:42 (d) 9:32
  26. 26.A clock shows 8:23. What time will it show 140 minutes later? (a) 10:53 (b) 10:33 (c) 10:43 (d) 11:43
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 168 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 4 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  32. 32.A clock shows 8:41. What time will it show 32 minutes later? (a) 10:13 (b) 9:23 (c) 9:13 (d) 9:03
  33. 33.A clock shows 3:15. What time will it show 16 minutes later? (a) 3:41 (b) 3:31 (c) 4:31 (d) 3:21
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  36. 36.A clock shows 3:30. What time will it show 73 minutes later? (a) 4:33 (b) 5:43 (c) 4:43 (d) 4:53
  37. 37.A clock shows 2:43. What time will it show 94 minutes later? (a) 4:07 (b) 4:17 (c) 4:27 (d) 5:17
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  39. 39.A clock shows 3:05. What time will it show 91 minutes later? (a) 5:36 (b) 4:36 (c) 4:46 (d) 4:26
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =

Answer key

  1. 234
  2. 12.5
  3. 25
  4. 175
  5. 12:27
  6. 5:25
  7. 83
  8. 40
  9. 148
  10. 5
  11. 9:04
  12. 145.5
  13. 4:17
  14. 52
  15. 112.5
  16. 2:52
  17. 8
  18. 47
  19. 46
  20. 270
  21. 36
  22. 121
  23. 216
  24. 169.5
  25. 9:42
  26. 10:43
  27. 131
  28. 84
  29. 24
  30. 59.5
  31. 48.5
  32. 9:13
  33. 3:31
  34. 46.5
  35. 134
  36. 4:43
  37. 4:17
  38. 3
  39. 4:36
  40. 35

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