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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 824 · 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 33 minutes? =
  2. 2.A clock shows 5:24. What time will it show 11 minutes later? (a) 5:35 (b) 5:25 (c) 5:45 (d) 6:35
  3. 3.How many degrees does the hour hand of a clock turn in 23 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  6. 6.A clock shows 9:56. What time will it show 72 minutes later? (a) 11:18 (b) 10:58 (c) 11:08 (d) 12:08
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 7 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  10. 10.A clock shows 10:16. What time will it show 121 minutes later? (a) 12:27 (b) 1:17 (c) 12:07 (d) 12:17
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  12. 12.A clock shows 10:58. What time will it show 96 minutes later? (a) 12:34 (b) 1:34 (c) 12:44 (d) 12:24
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 28 minutes? =
  16. 16.A clock shows 5:38. What time will it show 10 minutes later? (a) 5:48 (b) 5:38 (c) 6:48 (d) 5:58
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 46 minutes? =
  19. 19.A clock shows 2:43. What time will it show 47 minutes later? (a) 3:40 (b) 3:20 (c) 3:30 (d) 4:30
  20. 20.How many degrees does the minute hand of a clock turn in 8 minutes? =
  21. 21.A clock shows 7:08. What time will it show 49 minutes later? (a) 8:57 (b) 7:57 (c) 7:47 (d) 8:07
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  24. 24.A clock shows 5:10. What time will it show 164 minutes later? (a) 8:04 (b) 7:44 (c) 8:54 (d) 7:54
  25. 25.How many degrees does the hour hand of a clock turn in 12 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 151 minutes? =
  29. 29.A clock shows 7:11. What time will it show 61 minutes later? (a) 8:22 (b) 9:12 (c) 8:02 (d) 8:12
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 83 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 32 minutes? =
  33. 33.A clock shows 9:25. What time will it show 163 minutes later? (a) 11:58 (b) 1:08 (c) 12:08 (d) 12:18
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 29 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  37. 37.A clock shows 6:38. What time will it show 165 minutes later? (a) 9:13 (b) 9:23 (c) 10:23 (d) 9:33
  38. 38.A clock shows 5:02. What time will it show 120 minutes later? (a) 7:02 (b) 8:02 (c) 7:12 (d) 6:52
  39. 39.A clock shows 5:43. What time will it show 106 minutes later? (a) 7:39 (b) 7:29 (c) 8:29 (d) 7:19
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =

Answer key

  1. 16.5
  2. 5:35
  3. 11.5
  4. 72
  5. 169.5
  6. 11:08
  7. 152
  8. 42
  9. 124.5
  10. 12:17
  11. 87
  12. 12:34
  13. 115.5
  14. 15.5
  15. 168
  16. 5:48
  17. 129.5
  18. 23
  19. 3:30
  20. 48
  21. 7:57
  22. 84
  23. 158.5
  24. 7:54
  25. 6
  26. 145
  27. 157.5
  28. 75.5
  29. 8:12
  30. 79.5
  31. 41.5
  32. 192
  33. 12:08
  34. 37
  35. 14.5
  36. 80
  37. 9:23
  38. 7:02
  39. 7:29
  40. 155

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