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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 624 · 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 2:18? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  3. 3.A clock shows 6:20. What time will it show 89 minutes later? (a) 7:59 (b) 7:39 (c) 7:49 (d) 8:49
  4. 4.How many degrees does the minute hand of a clock turn in 9 minutes? =
  5. 5.A clock shows 9:36. What time will it show 139 minutes later? (a) 12:05 (b) 12:55 (c) 11:55 (d) 11:45
  6. 6.How many degrees does the minute hand of a clock turn in 46 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  8. 8.A clock shows 9:47. What time will it show 57 minutes later? (a) 11:44 (b) 10:54 (c) 10:44 (d) 10:34
  9. 9.How many degrees does the hour hand of a clock turn in 18 minutes? =
  10. 10.A clock shows 11:59. What time will it show 84 minutes later? (a) 1:33 (b) 2:23 (c) 1:23 (d) 1:13
  11. 11.How many degrees does the hour hand of a clock turn in 165 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 42 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  14. 14.A clock shows 11:57. What time will it show 63 minutes later? (a) 1:10 (b) 12:50 (c) 1:00 (d) 2:00
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 63 minutes? =
  17. 17.A clock shows 1:24. What time will it show 53 minutes later? (a) 2:27 (b) 2:07 (c) 3:17 (d) 2:17
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 53 minutes? =
  20. 20.A clock shows 4:09. What time will it show 85 minutes later? (a) 5:44 (b) 6:34 (c) 5:34 (d) 5:24
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  22. 22.A clock shows 7:25. What time will it show 105 minutes later? (a) 9:20 (b) 9:10 (c) 9:00 (d) 10:10
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 18 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 144 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 118 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
  29. 29.A clock shows 9:40. What time will it show 67 minutes later? (a) 10:57 (b) 10:37 (c) 10:47 (d) 11:47
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  31. 31.A clock shows 8:07. What time will it show 132 minutes later? (a) 11:19 (b) 10:29 (c) 10:19 (d) 10:09
  32. 32.A clock shows 4:11. What time will it show 132 minutes later? (a) 6:13 (b) 6:33 (c) 7:23 (d) 6:23
  33. 33.A clock shows 4:36. What time will it show 163 minutes later? (a) 7:19 (b) 8:19 (c) 7:29 (d) 7:09
  34. 34.A clock shows 5:41. What time will it show 37 minutes later? (a) 6:28 (b) 6:08 (c) 7:18 (d) 6:18
  35. 35.How many degrees does the minute hand of a clock turn in 34 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  37. 37.A clock shows 7:57. What time will it show 65 minutes later? (a) 10:02 (b) 8:52 (c) 9:12 (d) 9:02
  38. 38.How many degrees does the minute hand of a clock turn in 44 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 163 minutes? =

Answer key

  1. 39
  2. 141
  3. 7:49
  4. 54
  5. 11:55
  6. 276
  7. 121
  8. 10:44
  9. 9
  10. 1:23
  11. 82.5
  12. 252
  13. 41.5
  14. 1:00
  15. 86.5
  16. 31.5
  17. 2:17
  18. 10.5
  19. 318
  20. 5:34
  21. 138.5
  22. 9:10
  23. 72
  24. 108
  25. 72
  26. 59
  27. 140.5
  28. 28
  29. 10:47
  30. 95
  31. 10:19
  32. 6:23
  33. 7:19
  34. 6:18
  35. 204
  36. 160
  37. 9:02
  38. 264
  39. 91
  40. 81.5

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