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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 972 · 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 minute hand of a clock turn in 33 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  3. 3.A clock shows 5:28. What time will it show 84 minutes later? (a) 7:52 (b) 6:52 (c) 6:42 (d) 7:02
  4. 4.How many degrees does the hour hand of a clock turn in 137 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  9. 9.A clock shows 9:23. What time will it show 20 minutes later? (a) 9:33 (b) 9:43 (c) 10:43 (d) 9:53
  10. 10.A clock shows 3:03. What time will it show 66 minutes later? (a) 5:09 (b) 3:59 (c) 4:19 (d) 4:09
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  12. 12.A clock shows 7:41. What time will it show 17 minutes later? (a) 7:48 (b) 8:08 (c) 8:58 (d) 7:58
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 38 minutes? =
  15. 15.A clock shows 3:34. What time will it show 168 minutes later? (a) 6:32 (b) 6:22 (c) 7:22 (d) 6:12
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  18. 18.A clock shows 2:46. What time will it show 14 minutes later? (a) 3:00 (b) 4:00 (c) 2:50 (d) 3:10
  19. 19.A clock shows 2:17. What time will it show 38 minutes later? (a) 3:55 (b) 2:45 (c) 3:05 (d) 2:55
  20. 20.A clock shows 10:46. What time will it show 38 minutes later? (a) 12:24 (b) 11:24 (c) 11:34 (d) 11:14
  21. 21.A clock shows 1:19. What time will it show 103 minutes later? (a) 2:52 (b) 4:02 (c) 3:02 (d) 3:12
  22. 22.How many degrees does the minute hand of a clock turn in 13 minutes? =
  23. 23.A clock shows 7:02. What time will it show 67 minutes later? (a) 9:09 (b) 8:09 (c) 8:19 (d) 7:59
  24. 24.A clock shows 5:53. What time will it show 52 minutes later? (a) 6:45 (b) 6:55 (c) 7:45 (d) 6:35
  25. 25.How many degrees does the minute hand of a clock turn in 21 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 52 minutes? =
  27. 27.A clock shows 6:18. What time will it show 158 minutes later? (a) 8:56 (b) 8:46 (c) 9:56 (d) 9:06
  28. 28.A clock shows 5:53. What time will it show 56 minutes later? (a) 6:49 (b) 6:39 (c) 7:49 (d) 6:59
  29. 29.How many degrees does the minute hand of a clock turn in 42 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 19 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 17 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 22 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 68 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 136 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 179 minutes? =
  38. 38.A clock shows 3:50. What time will it show 99 minutes later? (a) 5:19 (b) 6:29 (c) 5:29 (d) 5:39
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 31 minutes? =

Answer key

  1. 198
  2. 49
  3. 6:52
  4. 68.5
  5. 131.5
  6. 63.5
  7. 35
  8. 70
  9. 9:43
  10. 4:09
  11. 175
  12. 7:58
  13. 105.5
  14. 19
  15. 6:22
  16. 143.5
  17. 8.5
  18. 3:00
  19. 2:55
  20. 11:24
  21. 3:02
  22. 78
  23. 8:09
  24. 6:45
  25. 126
  26. 312
  27. 8:56
  28. 6:49
  29. 252
  30. 114
  31. 102
  32. 11
  33. 4
  34. 34
  35. 40.5
  36. 68
  37. 89.5
  38. 5:29
  39. 21.5
  40. 186

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