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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 605 · 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 28 minutes? =
  2. 2.A clock shows 4:02. What time will it show 29 minutes later? (a) 4:21 (b) 5:31 (c) 4:41 (d) 4:31
  3. 3.How many degrees does the hour hand of a clock turn in 147 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 143 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  7. 7.A clock shows 12:45. What time will it show 116 minutes later? (a) 2:41 (b) 2:31 (c) 3:41 (d) 2:51
  8. 8.How many degrees does the minute hand of a clock turn in 19 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  12. 12.A clock shows 2:42. What time will it show 120 minutes later? (a) 4:52 (b) 5:42 (c) 4:32 (d) 4:42
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 46 minutes? =
  15. 15.A clock shows 10:19. What time will it show 124 minutes later? (a) 12:23 (b) 12:13 (c) 1:23 (d) 12:33
  16. 16.How many degrees does the minute hand of a clock turn in 7 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 15 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:47? (in degrees) =
  20. 20.A clock shows 5:42. What time will it show 93 minutes later? (a) 7:15 (b) 8:15 (c) 7:25 (d) 7:05
  21. 21.A clock shows 12:54. What time will it show 51 minutes later? (a) 1:55 (b) 1:35 (c) 2:45 (d) 1:45
  22. 22.A clock shows 8:15. What time will it show 20 minutes later? (a) 8:45 (b) 9:35 (c) 8:35 (d) 8:25
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  26. 26.A clock shows 4:09. What time will it show 132 minutes later? (a) 6:31 (b) 7:21 (c) 6:21 (d) 6:11
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  28. 28.A clock shows 3:42. What time will it show 92 minutes later? (a) 5:24 (b) 5:04 (c) 6:14 (d) 5:14
  29. 29.How many degrees does the hour hand of a clock turn in 11 minutes? =
  30. 30.A clock shows 3:48. What time will it show 61 minutes later? (a) 4:39 (b) 5:49 (c) 4:59 (d) 4:49
  31. 31.A clock shows 1:44. What time will it show 37 minutes later? (a) 2:31 (b) 2:11 (c) 3:21 (d) 2:21
  32. 32.How many degrees does the minute hand of a clock turn in 47 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 58 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  36. 36.A clock shows 8:59. What time will it show 10 minutes later? (a) 8:59 (b) 9:19 (c) 10:09 (d) 9:09
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  38. 38.A clock shows 2:42. What time will it show 163 minutes later? (a) 5:35 (b) 5:15 (c) 6:25 (d) 5:25
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 30 minutes? =

Answer key

  1. 168
  2. 4:31
  3. 73.5
  4. 167.5
  5. 71.5
  6. 39
  7. 2:41
  8. 114
  9. 145
  10. 136.5
  11. 155.5
  12. 4:42
  13. 100
  14. 276
  15. 12:23
  16. 42
  17. 7.5
  18. 55.5
  19. 78.5
  20. 7:15
  21. 1:45
  22. 8:35
  23. 134
  24. 95
  25. 32
  26. 6:21
  27. 117.5
  28. 5:14
  29. 5.5
  30. 4:49
  31. 2:21
  32. 282
  33. 348
  34. 79
  35. 18.5
  36. 9:09
  37. 106.5
  38. 5:25
  39. 158
  40. 15

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