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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 838 · 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 1:05? (in degrees) =
  2. 2.A clock shows 10:51. What time will it show 68 minutes later? (a) 11:59 (b) 12:59 (c) 12:09 (d) 11:49
  3. 3.How many degrees does the minute hand of a clock turn in 34 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 13 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 128 minutes? =
  6. 6.A clock shows 6:50. What time will it show 25 minutes later? (a) 7:25 (b) 7:05 (c) 8:15 (d) 7:15
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  8. 8.A clock shows 1:40. What time will it show 24 minutes later? (a) 1:54 (b) 2:14 (c) 3:04 (d) 2:04
  9. 9.How many degrees does the hour hand of a clock turn in 112 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 55 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 129 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 35 minutes? =
  14. 14.A clock shows 5:18. What time will it show 165 minutes later? (a) 8:13 (b) 9:03 (c) 7:53 (d) 8:03
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 17 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 101 minutes? =
  18. 18.A clock shows 4:51. What time will it show 115 minutes later? (a) 7:46 (b) 6:46 (c) 6:56 (d) 6:36
  19. 19.How many degrees does the hour hand of a clock turn in 151 minutes? =
  20. 20.A clock shows 4:54. What time will it show 149 minutes later? (a) 8:23 (b) 7:13 (c) 7:23 (d) 7:33
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  27. 27.A clock shows 3:26. What time will it show 137 minutes later? (a) 5:43 (b) 6:43 (c) 5:33 (d) 5:53
  28. 28.A clock shows 6:46. What time will it show 31 minutes later? (a) 8:17 (b) 7:17 (c) 7:27 (d) 7:07
  29. 29.How many degrees does the minute hand of a clock turn in 43 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  34. 34.A clock shows 9:00. What time will it show 142 minutes later? (a) 11:12 (b) 12:22 (c) 11:32 (d) 11:22
  35. 35.A clock shows 8:11. What time will it show 18 minutes later? (a) 8:39 (b) 9:29 (c) 8:19 (d) 8:29
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  38. 38.A clock shows 9:02. What time will it show 42 minutes later? (a) 9:34 (b) 9:54 (c) 9:44 (d) 10:44
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  40. 40.A clock shows 3:51. What time will it show 80 minutes later? (a) 6:11 (b) 5:21 (c) 5:11 (d) 5:01

Answer key

  1. 2.5
  2. 11:59
  3. 204
  4. 6.5
  5. 64
  6. 7:15
  7. 177
  8. 2:04
  9. 56
  10. 27.5
  11. 177
  12. 64.5
  13. 210
  14. 8:03
  15. 145.5
  16. 102
  17. 50.5
  18. 6:46
  19. 75.5
  20. 7:23
  21. 41
  22. 99
  23. 71
  24. 179.5
  25. 111
  26. 87.5
  27. 5:43
  28. 7:17
  29. 258
  30. 162
  31. 175
  32. 142
  33. 162.5
  34. 11:22
  35. 8:29
  36. 73.5
  37. 175
  38. 9:44
  39. 31.5
  40. 5:11

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