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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 709 · 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 24 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  3. 3.A clock shows 6:52. What time will it show 116 minutes later? (a) 8:38 (b) 8:48 (c) 9:48 (d) 8:58
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  7. 7.A clock shows 1:15. What time will it show 47 minutes later? (a) 2:02 (b) 3:02 (c) 1:52 (d) 2:12
  8. 8.How many degrees does the hour hand of a clock turn in 90 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 43 minutes? =
  13. 13.A clock shows 4:59. What time will it show 59 minutes later? (a) 5:48 (b) 6:58 (c) 5:58 (d) 6:08
  14. 14.How many degrees does the hour hand of a clock turn in 112 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 42 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  17. 17.A clock shows 8:24. What time will it show 93 minutes later? (a) 9:57 (b) 10:57 (c) 10:07 (d) 9:47
  18. 18.How many degrees does the minute hand of a clock turn in 50 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 56 minutes? =
  20. 20.A clock shows 6:29. What time will it show 27 minutes later? (a) 6:56 (b) 7:56 (c) 6:46 (d) 7:06
  21. 21.A clock shows 9:48. What time will it show 158 minutes later? (a) 12:16 (b) 12:26 (c) 12:36 (d) 1:26
  22. 22.How many degrees does the hour hand of a clock turn in 36 minutes? =
  23. 23.A clock shows 6:00. What time will it show 81 minutes later? (a) 7:31 (b) 8:21 (c) 7:21 (d) 7:11
  24. 24.A clock shows 8:01. What time will it show 139 minutes later? (a) 11:20 (b) 10:20 (c) 10:30 (d) 10:10
  25. 25.A clock shows 10:37. What time will it show 121 minutes later? (a) 12:38 (b) 12:28 (c) 12:48 (d) 1:38
  26. 26.A clock shows 3:48. What time will it show 33 minutes later? (a) 5:21 (b) 4:31 (c) 4:21 (d) 4:11
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 18 minutes? =
  30. 30.A clock shows 2:04. What time will it show 73 minutes later? (a) 3:07 (b) 4:17 (c) 3:27 (d) 3:17
  31. 31.A clock shows 7:55. What time will it show 65 minutes later? (a) 8:50 (b) 9:10 (c) 10:00 (d) 9:00
  32. 32.A clock shows 8:10. What time will it show 94 minutes later? (a) 9:34 (b) 9:54 (c) 9:44 (d) 10:44
  33. 33.A clock shows 2:32. What time will it show 163 minutes later? (a) 6:15 (b) 5:05 (c) 5:25 (d) 5:15
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:56? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  37. 37.A clock shows 12:03. What time will it show 117 minutes later? (a) 1:50 (b) 2:10 (c) 3:00 (d) 2:00
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =

Answer key

  1. 12
  2. 118
  3. 8:48
  4. 172
  5. 109.5
  6. 113
  7. 2:02
  8. 45
  9. 111.5
  10. 33.5
  11. 156.5
  12. 258
  13. 5:58
  14. 56
  15. 252
  16. 20
  17. 9:57
  18. 300
  19. 336
  20. 6:56
  21. 12:26
  22. 18
  23. 7:21
  24. 10:20
  25. 12:38
  26. 4:21
  27. 35.5
  28. 176
  29. 108
  30. 3:17
  31. 9:00
  32. 9:44
  33. 5:15
  34. 158
  35. 30.5
  36. 136.5
  37. 2:00
  38. 167.5
  39. 124.5
  40. 164.5

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