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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 25 · 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 8:06. What time will it show 71 minutes later? (a) 9:07 (b) 9:17 (c) 10:17 (d) 9:27
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  5. 5.A clock shows 5:18. What time will it show 15 minutes later? (a) 5:23 (b) 6:33 (c) 5:33 (d) 5:43
  6. 6.A clock shows 7:05. What time will it show 48 minutes later? (a) 7:43 (b) 8:03 (c) 7:53 (d) 8:53
  7. 7.How many degrees does the hour hand of a clock turn in 26 minutes? =
  8. 8.A clock shows 12:50. What time will it show 46 minutes later? (a) 2:36 (b) 1:46 (c) 1:26 (d) 1:36
  9. 9.How many degrees does the minute hand of a clock turn in 57 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 43 minutes? =
  11. 11.A clock shows 1:05. What time will it show 32 minutes later? (a) 2:37 (b) 1:27 (c) 1:37 (d) 1:47
  12. 12.A clock shows 6:18. What time will it show 46 minutes later? (a) 7:04 (b) 8:04 (c) 7:14 (d) 6:54
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  14. 14.A clock shows 8:50. What time will it show 163 minutes later? (a) 12:33 (b) 11:33 (c) 11:43 (d) 11:23
  15. 15.How many degrees does the hour hand of a clock turn in 76 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  17. 17.A clock shows 1:27. What time will it show 116 minutes later? (a) 3:13 (b) 3:23 (c) 4:23 (d) 3:33
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  20. 20.A clock shows 5:48. What time will it show 59 minutes later? (a) 6:57 (b) 7:47 (c) 6:47 (d) 6:37
  21. 21.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 13 minutes? =
  24. 24.A clock shows 11:18. What time will it show 14 minutes later? (a) 12:32 (b) 11:22 (c) 11:42 (d) 11:32
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  26. 26.A clock shows 5:07. What time will it show 58 minutes later? (a) 7:05 (b) 6:15 (c) 6:05 (d) 5:55
  27. 27.How many degrees does the hour hand of a clock turn in 146 minutes? =
  28. 28.A clock shows 1:02. What time will it show 102 minutes later? (a) 2:54 (b) 2:34 (c) 3:44 (d) 2:44
  29. 29.How many degrees does the minute hand of a clock turn in 36 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 36 minutes? =
  33. 33.A clock shows 12:28. What time will it show 108 minutes later? (a) 2:26 (b) 2:06 (c) 2:16 (d) 3:16
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  35. 35.A clock shows 2:11. What time will it show 87 minutes later? (a) 3:38 (b) 3:48 (c) 3:28 (d) 4:38
  36. 36.How many degrees does the minute hand of a clock turn in 27 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 28 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 113 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 51 minutes? =

Answer key

  1. 9:17
  2. 166.5
  3. 82
  4. 28
  5. 5:33
  6. 7:53
  7. 13
  8. 1:36
  9. 342
  10. 258
  11. 1:37
  12. 7:04
  13. 152.5
  14. 11:33
  15. 38
  16. 124.5
  17. 3:23
  18. 98
  19. 28.5
  20. 6:47
  21. 135
  22. 12.5
  23. 78
  24. 11:32
  25. 173
  26. 6:05
  27. 73
  28. 2:44
  29. 216
  30. 158
  31. 176
  32. 18
  33. 2:16
  34. 105
  35. 3:38
  36. 162
  37. 168
  38. 166.5
  39. 56.5
  40. 306

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