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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 171 · 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 58 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 92 minutes? =
  5. 5.A clock shows 2:47. What time will it show 65 minutes later? (a) 3:42 (b) 4:02 (c) 3:52 (d) 4:52
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  7. 7.A clock shows 11:44. What time will it show 117 minutes later? (a) 1:31 (b) 1:51 (c) 2:41 (d) 1:41
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  9. 9.A clock shows 1:10. What time will it show 75 minutes later? (a) 2:35 (b) 2:15 (c) 3:25 (d) 2:25
  10. 10.A clock shows 5:08. What time will it show 45 minutes later? (a) 6:53 (b) 6:03 (c) 5:53 (d) 5:43
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  12. 12.A clock shows 12:02. What time will it show 145 minutes later? (a) 2:17 (b) 2:27 (c) 3:27 (d) 2:37
  13. 13.How many degrees does the minute hand of a clock turn in 8 minutes? =
  14. 14.A clock shows 12:07. What time will it show 154 minutes later? (a) 2:51 (b) 3:41 (c) 2:41 (d) 2:31
  15. 15.How many degrees does the minute hand of a clock turn in 34 minutes? =
  16. 16.A clock shows 8:38. What time will it show 15 minutes later? (a) 8:43 (b) 8:53 (c) 9:03 (d) 9:53
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  18. 18.A clock shows 6:53. What time will it show 127 minutes later? (a) 8:50 (b) 9:10 (c) 10:00 (d) 9:00
  19. 19.How many degrees does the minute hand of a clock turn in 25 minutes? =
  20. 20.A clock shows 11:04. What time will it show 66 minutes later? (a) 12:20 (b) 12:00 (c) 1:10 (d) 12:10
  21. 21.How many degrees does the hour hand of a clock turn in 63 minutes? =
  22. 22.A clock shows 1:46. What time will it show 155 minutes later? (a) 4:11 (b) 4:21 (c) 5:21 (d) 4:31
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 70 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 89 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  29. 29.A clock shows 12:04. What time will it show 71 minutes later? (a) 1:05 (b) 1:25 (c) 2:15 (d) 1:15
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 43 minutes? =
  32. 32.A clock shows 1:52. What time will it show 44 minutes later? (a) 2:36 (b) 2:26 (c) 3:36 (d) 2:46
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 48 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 46 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  37. 37.A clock shows 5:40. What time will it show 74 minutes later? (a) 7:04 (b) 6:44 (c) 7:54 (d) 6:54
  38. 38.How many degrees does the hour hand of a clock turn in 22 minutes? =
  39. 39.A clock shows 12:59. What time will it show 22 minutes later? (a) 2:21 (b) 1:11 (c) 1:21 (d) 1:31
  40. 40.A clock shows 8:43. What time will it show 58 minutes later? (a) 9:41 (b) 9:31 (c) 9:51 (d) 10:41

Answer key

  1. 29
  2. 91
  3. 61.5
  4. 46
  5. 3:52
  6. 59
  7. 1:41
  8. 107
  9. 2:25
  10. 5:53
  11. 8
  12. 2:27
  13. 48
  14. 2:41
  15. 204
  16. 8:53
  17. 120.5
  18. 9:00
  19. 150
  20. 12:10
  21. 31.5
  22. 4:21
  23. 156
  24. 60.5
  25. 35
  26. 145
  27. 44.5
  28. 52.5
  29. 1:15
  30. 149
  31. 258
  32. 2:36
  33. 37
  34. 288
  35. 276
  36. 51.5
  37. 6:54
  38. 11
  39. 1:21
  40. 9:41

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