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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 633 · 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.A clock shows 12:35. What time will it show 37 minutes later? (a) 2:12 (b) 1:22 (c) 1:12 (d) 1:02
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  3. 3.A clock shows 5:51. What time will it show 85 minutes later? (a) 7:06 (b) 7:26 (c) 8:16 (d) 7:16
  4. 4.A clock shows 2:16. What time will it show 148 minutes later? (a) 5:44 (b) 4:44 (c) 4:34 (d) 4:54
  5. 5.A clock shows 12:16. What time will it show 139 minutes later? (a) 3:35 (b) 2:25 (c) 2:45 (d) 2:35
  6. 6.How many degrees does the hour hand of a clock turn in 90 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 45 minutes? =
  9. 9.A clock shows 8:31. What time will it show 50 minutes later? (a) 9:11 (b) 9:21 (c) 9:31 (d) 10:21
  10. 10.How many degrees does the minute hand of a clock turn in 29 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  13. 13.A clock shows 7:11. What time will it show 106 minutes later? (a) 9:07 (b) 9:57 (c) 8:47 (d) 8:57
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  15. 15.A clock shows 3:58. What time will it show 135 minutes later? (a) 6:13 (b) 7:13 (c) 6:03 (d) 6:23
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 34 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 36 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 55 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 136 minutes? =
  23. 23.A clock shows 2:26. What time will it show 116 minutes later? (a) 4:12 (b) 4:32 (c) 5:22 (d) 4:22
  24. 24.A clock shows 1:44. What time will it show 130 minutes later? (a) 3:44 (b) 4:54 (c) 4:04 (d) 3:54
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 40 minutes? =
  28. 28.A clock shows 2:19. What time will it show 141 minutes later? (a) 4:30 (b) 4:50 (c) 5:40 (d) 4:40
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  31. 31.A clock shows 11:18. What time will it show 25 minutes later? (a) 11:33 (b) 11:53 (c) 12:43 (d) 11:43
  32. 32.A clock shows 4:59. What time will it show 133 minutes later? (a) 7:02 (b) 7:22 (c) 7:12 (d) 8:12
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  35. 35.A clock shows 9:25. What time will it show 19 minutes later? (a) 9:34 (b) 9:54 (c) 10:44 (d) 9:44
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  38. 38.A clock shows 1:21. What time will it show 148 minutes later? (a) 3:39 (b) 4:49 (c) 3:59 (d) 3:49
  39. 39.How many degrees does the minute hand of a clock turn in 9 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =

Answer key

  1. 1:12
  2. 5.5
  3. 7:16
  4. 4:44
  5. 2:35
  6. 45
  7. 23.5
  8. 270
  9. 9:21
  10. 174
  11. 56
  12. 67.5
  13. 8:57
  14. 172.5
  15. 6:13
  16. 43.5
  17. 17
  18. 18
  19. 330
  20. 42
  21. 30
  22. 68
  23. 4:22
  24. 3:54
  25. 167
  26. 51
  27. 20
  28. 4:40
  29. 137
  30. 5
  31. 11:43
  32. 7:12
  33. 48.5
  34. 121
  35. 9:44
  36. 147
  37. 141
  38. 3:49
  39. 54
  40. 25.5

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