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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 828 · 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 6:41? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 24 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 42 minutes? =
  4. 4.A clock shows 12:46. What time will it show 58 minutes later? (a) 1:44 (b) 1:54 (c) 2:44 (d) 1:34
  5. 5.A clock shows 5:10. What time will it show 79 minutes later? (a) 6:39 (b) 6:19 (c) 6:29 (d) 7:29
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 26 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  9. 9.A clock shows 4:11. What time will it show 67 minutes later? (a) 6:18 (b) 5:08 (c) 5:28 (d) 5:18
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 20 minutes? =
  12. 12.A clock shows 2:08. What time will it show 54 minutes later? (a) 3:02 (b) 3:12 (c) 4:02 (d) 2:52
  13. 13.A clock shows 2:16. What time will it show 69 minutes later? (a) 3:25 (b) 3:35 (c) 3:15 (d) 4:25
  14. 14.How many degrees does the hour hand of a clock turn in 167 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 7 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 48 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  19. 19.A clock shows 12:51. What time will it show 82 minutes later? (a) 2:03 (b) 2:23 (c) 2:13 (d) 3:13
  20. 20.A clock shows 10:02. What time will it show 11 minutes later? (a) 11:13 (b) 10:13 (c) 10:03 (d) 10:23
  21. 21.How many degrees does the hour hand of a clock turn in 177 minutes? =
  22. 22.A clock shows 2:40. What time will it show 126 minutes later? (a) 4:46 (b) 5:46 (c) 4:36 (d) 4:56
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 21 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  29. 29.A clock shows 12:29. What time will it show 149 minutes later? (a) 2:58 (b) 3:58 (c) 3:08 (d) 2:48
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 2 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 4 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
  35. 35.A clock shows 2:15. What time will it show 55 minutes later? (a) 4:10 (b) 3:10 (c) 3:00 (d) 3:20
  36. 36.A clock shows 1:09. What time will it show 31 minutes later? (a) 1:40 (b) 1:50 (c) 1:30 (d) 2:40
  37. 37.How many degrees does the minute hand of a clock turn in 13 minutes? =
  38. 38.A clock shows 10:46. What time will it show 21 minutes later? (a) 10:57 (b) 11:07 (c) 12:07 (d) 11:17
  39. 39.A clock shows 9:32. What time will it show 86 minutes later? (a) 10:48 (b) 11:58 (c) 10:58 (d) 11:08
  40. 40.How many degrees does the hour hand of a clock turn in 142 minutes? =

Answer key

  1. 45.5
  2. 144
  3. 21
  4. 1:44
  5. 6:29
  6. 122
  7. 156
  8. 129
  9. 5:18
  10. 115
  11. 120
  12. 3:02
  13. 3:25
  14. 83.5
  15. 42
  16. 152.5
  17. 288
  18. 173
  19. 2:13
  20. 10:13
  21. 88.5
  22. 4:46
  23. 13.5
  24. 92.5
  25. 159.5
  26. 99
  27. 10.5
  28. 102
  29. 2:58
  30. 150
  31. 12
  32. 10
  33. 24
  34. 103.5
  35. 3:10
  36. 1:40
  37. 78
  38. 11:07
  39. 10:58
  40. 71

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