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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 394 · 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.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 6 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 54 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 14 minutes? =
  7. 7.A clock shows 10:41. What time will it show 90 minutes later? (a) 1:11 (b) 12:21 (c) 12:01 (d) 12:11
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  9. 9.A clock shows 12:31. What time will it show 147 minutes later? (a) 3:58 (b) 2:48 (c) 2:58 (d) 3:08
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 156 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 41 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  14. 14.A clock shows 5:44. What time will it show 130 minutes later? (a) 7:44 (b) 8:04 (c) 8:54 (d) 7:54
  15. 15.A clock shows 6:11. What time will it show 129 minutes later? (a) 8:10 (b) 9:20 (c) 8:30 (d) 8:20
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 42 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  19. 19.A clock shows 2:06. What time will it show 155 minutes later? (a) 5:41 (b) 4:41 (c) 4:51 (d) 4:31
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 37 minutes? =
  23. 23.A clock shows 4:56. What time will it show 71 minutes later? (a) 5:57 (b) 6:17 (c) 6:07 (d) 7:07
  24. 24.A clock shows 12:04. What time will it show 48 minutes later? (a) 1:02 (b) 12:42 (c) 1:52 (d) 12:52
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  27. 27.A clock shows 8:01. What time will it show 88 minutes later? (a) 10:29 (b) 9:19 (c) 9:39 (d) 9:29
  28. 28.How many degrees does the hour hand of a clock turn in 132 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
  30. 30.A clock shows 11:09. What time will it show 11 minutes later? (a) 12:20 (b) 11:10 (c) 11:30 (d) 11:20
  31. 31.A clock shows 3:56. What time will it show 25 minutes later? (a) 4:21 (b) 5:21 (c) 4:11 (d) 4:31
  32. 32.A clock shows 12:47. What time will it show 87 minutes later? (a) 2:04 (b) 2:14 (c) 2:24 (d) 3:14
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:12? (in degrees) =
  35. 35.A clock shows 1:45. What time will it show 144 minutes later? (a) 3:59 (b) 4:19 (c) 4:09 (d) 5:09
  36. 36.How many degrees does the hour hand of a clock turn in 90 minutes? =
  37. 37.A clock shows 12:30. What time will it show 48 minutes later? (a) 1:08 (b) 2:18 (c) 1:18 (d) 1:28
  38. 38.How many degrees does the minute hand of a clock turn in 41 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 53 minutes? =
  40. 40.A clock shows 5:53. What time will it show 13 minutes later? (a) 5:56 (b) 6:16 (c) 7:06 (d) 6:06

Answer key

  1. 6.5
  2. 130
  3. 36
  4. 324
  5. 126
  6. 7
  7. 12:11
  8. 54.5
  9. 2:58
  10. 50
  11. 78
  12. 20.5
  13. 177.5
  14. 7:54
  15. 8:20
  16. 31
  17. 252
  18. 76.5
  19. 4:41
  20. 86.5
  21. 174
  22. 222
  23. 6:07
  24. 12:52
  25. 134.5
  26. 106.5
  27. 9:29
  28. 66
  29. 148.5
  30. 11:20
  31. 4:21
  32. 2:14
  33. 107
  34. 114
  35. 4:09
  36. 45
  37. 1:18
  38. 246
  39. 318
  40. 6:06

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