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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 255 · 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 9:40. What time will it show 69 minutes later? (a) 10:39 (b) 11:49 (c) 10:49 (d) 10:59
  2. 2.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 33 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 31 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  7. 7.A clock shows 3:24. What time will it show 51 minutes later? (a) 4:15 (b) 5:15 (c) 4:25 (d) 4:05
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  9. 9.A clock shows 4:37. What time will it show 149 minutes later? (a) 6:56 (b) 7:16 (c) 7:06 (d) 8:06
  10. 10.A clock shows 6:21. What time will it show 108 minutes later? (a) 8:09 (b) 8:19 (c) 7:59 (d) 9:09
  11. 11.A clock shows 3:48. What time will it show 131 minutes later? (a) 6:59 (b) 5:59 (c) 6:09 (d) 5:49
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 55 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  17. 17.A clock shows 10:03. What time will it show 128 minutes later? (a) 12:11 (b) 12:01 (c) 1:11 (d) 12:21
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  20. 20.A clock shows 8:53. What time will it show 20 minutes later? (a) 9:13 (b) 9:23 (c) 9:03 (d) 10:13
  21. 21.How many degrees does the hour hand of a clock turn in 137 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 18 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 33 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  25. 25.A clock shows 6:07. What time will it show 121 minutes later? (a) 7:58 (b) 9:08 (c) 8:18 (d) 8:08
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  27. 27.A clock shows 5:28. What time will it show 24 minutes later? (a) 6:52 (b) 5:42 (c) 5:52 (d) 6:02
  28. 28.How many degrees does the minute hand of a clock turn in 56 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  30. 30.A clock shows 7:50. What time will it show 89 minutes later? (a) 9:09 (b) 9:29 (c) 9:19 (d) 10:19
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  33. 33.A clock shows 5:00. What time will it show 29 minutes later? (a) 5:19 (b) 6:29 (c) 5:39 (d) 5:29
  34. 34.A clock shows 12:21. What time will it show 36 minutes later? (a) 1:07 (b) 12:57 (c) 1:57 (d) 12:47
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  38. 38.A clock shows 4:16. What time will it show 44 minutes later? (a) 4:50 (b) 6:00 (c) 5:10 (d) 5:00
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  40. 40.A clock shows 2:18. What time will it show 114 minutes later? (a) 4:02 (b) 5:12 (c) 4:22 (d) 4:12

Answer key

  1. 10:49
  2. 47
  3. 79
  4. 16.5
  5. 186
  6. 169
  7. 4:15
  8. 132.5
  9. 7:06
  10. 8:09
  11. 5:59
  12. 180
  13. 56.5
  14. 108.5
  15. 330
  16. 5.5
  17. 12:11
  18. 36
  19. 73
  20. 9:13
  21. 68.5
  22. 108
  23. 198
  24. 46
  25. 8:08
  26. 155
  27. 5:52
  28. 336
  29. 158
  30. 9:19
  31. 103
  32. 90
  33. 5:29
  34. 12:57
  35. 92.5
  36. 86.5
  37. 34.5
  38. 5:00
  39. 50
  40. 4:12

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