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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 515 · 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 5:08. What time will it show 100 minutes later? (a) 6:48 (b) 6:58 (c) 6:38 (d) 7:48
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 46 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 54 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 41 minutes? =
  7. 7.A clock shows 8:30. What time will it show 29 minutes later? (a) 8:49 (b) 8:59 (c) 9:09 (d) 9:59
  8. 8.How many degrees does the hour hand of a clock turn in 50 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 51 minutes? =
  10. 10.A clock shows 6:22. What time will it show 122 minutes later? (a) 8:34 (b) 8:24 (c) 9:24 (d) 8:14
  11. 11.A clock shows 2:21. What time will it show 151 minutes later? (a) 4:42 (b) 4:52 (c) 5:52 (d) 5:02
  12. 12.A clock shows 5:41. What time will it show 117 minutes later? (a) 7:28 (b) 8:38 (c) 7:38 (d) 7:48
  13. 13.A clock shows 5:03. What time will it show 11 minutes later? (a) 5:24 (b) 5:14 (c) 6:14 (d) 5:04
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  15. 15.A clock shows 9:19. What time will it show 159 minutes later? (a) 12:08 (b) 11:58 (c) 11:48 (d) 12:58
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  17. 17.A clock shows 3:05. What time will it show 57 minutes later? (a) 3:52 (b) 5:02 (c) 4:12 (d) 4:02
  18. 18.How many degrees does the minute hand of a clock turn in 4 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 126 minutes? =
  21. 21.A clock shows 9:17. What time will it show 165 minutes later? (a) 12:02 (b) 11:52 (c) 1:02 (d) 12:12
  22. 22.A clock shows 10:31. What time will it show 97 minutes later? (a) 11:58 (b) 12:18 (c) 1:08 (d) 12:08
  23. 23.A clock shows 12:44. What time will it show 110 minutes later? (a) 3:34 (b) 2:24 (c) 2:44 (d) 2:34
  24. 24.A clock shows 8:51. What time will it show 165 minutes later? (a) 12:36 (b) 11:46 (c) 11:36 (d) 11:26
  25. 25.A clock shows 2:28. What time will it show 164 minutes later? (a) 5:22 (b) 6:12 (c) 5:02 (d) 5:12
  26. 26.A clock shows 1:25. What time will it show 139 minutes later? (a) 3:44 (b) 3:54 (c) 3:34 (d) 4:44
  27. 27.A clock shows 3:39. What time will it show 145 minutes later? (a) 7:04 (b) 6:04 (c) 6:14 (d) 5:54
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:35? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  32. 32.A clock shows 5:15. What time will it show 48 minutes later? (a) 7:03 (b) 6:03 (c) 5:53 (d) 6:13
  33. 33.A clock shows 12:30. What time will it show 138 minutes later? (a) 2:48 (b) 2:58 (c) 2:38 (d) 3:48
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  35. 35.A clock shows 5:42. What time will it show 86 minutes later? (a) 7:08 (b) 7:18 (c) 6:58 (d) 8:08
  36. 36.How many degrees does the hour hand of a clock turn in 77 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 38 minutes? =
  39. 39.A clock shows 8:13. What time will it show 40 minutes later? (a) 8:43 (b) 9:03 (c) 8:53 (d) 9:53
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =

Answer key

  1. 6:48
  2. 150
  3. 60.5
  4. 23
  5. 324
  6. 20.5
  7. 8:59
  8. 25
  9. 306
  10. 8:24
  11. 4:52
  12. 7:38
  13. 5:14
  14. 101.5
  15. 11:58
  16. 132.5
  17. 4:02
  18. 24
  19. 6
  20. 63
  21. 12:02
  22. 12:08
  23. 2:34
  24. 11:36
  25. 5:12
  26. 3:44
  27. 6:04
  28. 36
  29. 42.5
  30. 63.5
  31. 137.5
  32. 6:03
  33. 2:48
  34. 20.5
  35. 7:08
  36. 38.5
  37. 12.5
  38. 228
  39. 8:53
  40. 50

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