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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 563 · 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 5:13? (in degrees) =
  2. 2.A clock shows 9:01. What time will it show 151 minutes later? (a) 11:32 (b) 12:32 (c) 11:22 (d) 11:42
  3. 3.A clock shows 2:12. What time will it show 57 minutes later? (a) 3:19 (b) 2:59 (c) 3:09 (d) 4:09
  4. 4.A clock shows 5:53. What time will it show 44 minutes later? (a) 7:37 (b) 6:37 (c) 6:47 (d) 6:27
  5. 5.A clock shows 8:49. What time will it show 135 minutes later? (a) 12:04 (b) 10:54 (c) 11:14 (d) 11:04
  6. 6.How many degrees does the hour hand of a clock turn in 41 minutes? =
  7. 7.A clock shows 9:26. What time will it show 80 minutes later? (a) 10:46 (b) 10:36 (c) 11:46 (d) 10:56
  8. 8.How many degrees does the minute hand of a clock turn in 14 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 5 minutes? =
  10. 10.A clock shows 9:04. What time will it show 29 minutes later? (a) 9:23 (b) 10:33 (c) 9:33 (d) 9:43
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  12. 12.A clock shows 5:12. What time will it show 94 minutes later? (a) 6:46 (b) 6:56 (c) 7:46 (d) 6:36
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  14. 14.A clock shows 3:18. What time will it show 20 minutes later? (a) 3:48 (b) 4:38 (c) 3:28 (d) 3:38
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 17 minutes? =
  17. 17.A clock shows 12:40. What time will it show 64 minutes later? (a) 1:54 (b) 2:44 (c) 1:44 (d) 1:34
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 51 minutes? =
  20. 20.A clock shows 6:24. What time will it show 68 minutes later? (a) 7:32 (b) 7:22 (c) 7:42 (d) 8:32
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 24 minutes? =
  25. 25.A clock shows 1:48. What time will it show 102 minutes later? (a) 3:20 (b) 4:30 (c) 3:40 (d) 3:30
  26. 26.How many degrees does the hour hand of a clock turn in 179 minutes? =
  27. 27.A clock shows 11:09. What time will it show 106 minutes later? (a) 1:05 (b) 12:55 (c) 1:55 (d) 12:45
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  29. 29.A clock shows 5:01. What time will it show 45 minutes later? (a) 6:46 (b) 5:46 (c) 5:56 (d) 5:36
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  31. 31.A clock shows 5:48. What time will it show 93 minutes later? (a) 7:11 (b) 7:31 (c) 7:21 (d) 8:21
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  33. 33.A clock shows 6:31. What time will it show 97 minutes later? (a) 9:08 (b) 7:58 (c) 8:18 (d) 8:08
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 61 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 16 minutes? =
  38. 38.A clock shows 2:03. What time will it show 101 minutes later? (a) 3:54 (b) 3:34 (c) 3:44 (d) 4:44
  39. 39.A clock shows 2:42. What time will it show 170 minutes later? (a) 5:32 (b) 6:32 (c) 5:42 (d) 5:22
  40. 40.A clock shows 7:53. What time will it show 29 minutes later? (a) 8:32 (b) 9:22 (c) 8:12 (d) 8:22

Answer key

  1. 78.5
  2. 11:32
  3. 3:09
  4. 6:37
  5. 11:04
  6. 20.5
  7. 10:46
  8. 84
  9. 30
  10. 9:33
  11. 33.5
  12. 6:46
  13. 122.5
  14. 3:38
  15. 122.5
  16. 102
  17. 1:44
  18. 63.5
  19. 306
  20. 7:32
  21. 67
  22. 70
  23. 164
  24. 12
  25. 3:30
  26. 89.5
  27. 12:55
  28. 93
  29. 5:46
  30. 6
  31. 7:21
  32. 149.5
  33. 8:08
  34. 48.5
  35. 140
  36. 30.5
  37. 96
  38. 3:44
  39. 5:32
  40. 8:22

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