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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 533 · 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 9:58? (in degrees) =
  2. 2.A clock shows 8:09. What time will it show 134 minutes later? (a) 11:23 (b) 10:13 (c) 10:23 (d) 10:33
  3. 3.How many degrees does the minute hand of a clock turn in 9 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 49 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  8. 8.A clock shows 1:20. What time will it show 52 minutes later? (a) 3:12 (b) 2:22 (c) 2:12 (d) 2:02
  9. 9.How many degrees does the hour hand of a clock turn in 152 minutes? =
  10. 10.A clock shows 12:35. What time will it show 14 minutes later? (a) 12:39 (b) 12:59 (c) 1:49 (d) 12:49
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  12. 12.A clock shows 1:08. What time will it show 14 minutes later? (a) 1:32 (b) 1:12 (c) 2:22 (d) 1:22
  13. 13.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 154 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  16. 16.A clock shows 3:28. What time will it show 74 minutes later? (a) 4:32 (b) 4:42 (c) 5:42 (d) 4:52
  17. 17.A clock shows 8:42. What time will it show 114 minutes later? (a) 10:46 (b) 10:36 (c) 10:26 (d) 11:36
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  19. 19.A clock shows 12:39. What time will it show 122 minutes later? (a) 2:51 (b) 2:31 (c) 3:41 (d) 2:41
  20. 20.A clock shows 1:27. What time will it show 84 minutes later? (a) 2:41 (b) 3:51 (c) 3:01 (d) 2:51
  21. 21.A clock shows 9:03. What time will it show 80 minutes later? (a) 10:33 (b) 11:23 (c) 10:13 (d) 10:23
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 90 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 45 minutes? =
  26. 26.A clock shows 5:11. What time will it show 30 minutes later? (a) 5:41 (b) 6:41 (c) 5:51 (d) 5:31
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  29. 29.A clock shows 9:50. What time will it show 85 minutes later? (a) 11:25 (b) 11:05 (c) 12:15 (d) 11:15
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  31. 31.A clock shows 12:34. What time will it show 90 minutes later? (a) 2:14 (b) 1:54 (c) 2:04 (d) 3:04
  32. 32.How many degrees does the minute hand of a clock turn in 2 minutes? =
  33. 33.A clock shows 8:41. What time will it show 14 minutes later? (a) 9:55 (b) 8:55 (c) 9:05 (d) 8:45
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 64 minutes? =
  37. 37.A clock shows 11:43. What time will it show 125 minutes later? (a) 1:38 (b) 1:48 (c) 2:48 (d) 1:58
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  39. 39.A clock shows 9:42. What time will it show 93 minutes later? (a) 11:05 (b) 11:15 (c) 11:25 (d) 12:15
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =

Answer key

  1. 49
  2. 10:23
  3. 54
  4. 175
  5. 122
  6. 294
  7. 85
  8. 2:12
  9. 76
  10. 12:49
  11. 18
  12. 1:22
  13. 44
  14. 77
  15. 174.5
  16. 4:42
  17. 10:36
  18. 109
  19. 2:41
  20. 2:51
  21. 10:23
  22. 81.5
  23. 45
  24. 3.5
  25. 270
  26. 5:41
  27. 120.5
  28. 98.5
  29. 11:15
  30. 113
  31. 2:04
  32. 12
  33. 8:55
  34. 19.5
  35. 124
  36. 32
  37. 1:48
  38. 174
  39. 11:15
  40. 127

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