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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 466 · 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 11:44. What time will it show 149 minutes later? (a) 2:13 (b) 2:23 (c) 2:03 (d) 3:13
  2. 2.A clock shows 11:09. What time will it show 150 minutes later? (a) 1:39 (b) 1:29 (c) 2:39 (d) 1:49
  3. 3.A clock shows 12:27. What time will it show 152 minutes later? (a) 3:09 (b) 2:49 (c) 2:59 (d) 3:59
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 21 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 64 minutes? =
  7. 7.A clock shows 8:36. What time will it show 45 minutes later? (a) 9:11 (b) 9:21 (c) 10:21 (d) 9:31
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 86 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 25 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 23 minutes? =
  12. 12.A clock shows 9:54. What time will it show 52 minutes later? (a) 11:46 (b) 10:56 (c) 10:36 (d) 10:46
  13. 13.A clock shows 4:03. What time will it show 92 minutes later? (a) 5:25 (b) 5:35 (c) 5:45 (d) 6:35
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  16. 16.A clock shows 5:04. What time will it show 50 minutes later? (a) 5:54 (b) 5:44 (c) 6:54 (d) 6:04
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  21. 21.A clock shows 2:39. What time will it show 64 minutes later? (a) 3:53 (b) 3:43 (c) 3:33 (d) 4:43
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 169 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 35 minutes? =
  26. 26.A clock shows 5:30. What time will it show 169 minutes later? (a) 8:09 (b) 8:19 (c) 9:19 (d) 8:29
  27. 27.A clock shows 1:06. What time will it show 12 minutes later? (a) 1:18 (b) 2:18 (c) 1:28 (d) 1:08
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  30. 30.A clock shows 2:45. What time will it show 26 minutes later? (a) 3:01 (b) 3:21 (c) 4:11 (d) 3:11
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  32. 32.A clock shows 11:12. What time will it show 101 minutes later? (a) 12:53 (b) 1:53 (c) 12:43 (d) 1:03
  33. 33.How many degrees does the minute hand of a clock turn in 5 minutes? =
  34. 34.A clock shows 5:15. What time will it show 43 minutes later? (a) 5:58 (b) 5:48 (c) 6:08 (d) 6:58
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  37. 37.A clock shows 12:25. What time will it show 160 minutes later? (a) 3:05 (b) 2:55 (c) 4:05 (d) 3:15
  38. 38.How many degrees does the minute hand of a clock turn in 15 minutes? =
  39. 39.A clock shows 2:41. What time will it show 159 minutes later? (a) 5:20 (b) 5:30 (c) 6:20 (d) 5:10
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =

Answer key

  1. 2:13
  2. 1:39
  3. 2:59
  4. 160
  5. 10.5
  6. 32
  7. 9:21
  8. 60.5
  9. 43
  10. 12.5
  11. 11.5
  12. 10:46
  13. 5:35
  14. 2
  15. 138.5
  16. 5:54
  17. 102.5
  18. 18
  19. 157
  20. 34.5
  21. 3:43
  22. 33.5
  23. 86
  24. 84.5
  25. 17.5
  26. 8:19
  27. 1:18
  28. 43
  29. 6.5
  30. 3:11
  31. 83
  32. 12:53
  33. 30
  34. 5:58
  35. 167.5
  36. 151
  37. 3:05
  38. 90
  39. 5:20
  40. 91

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