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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 205 · 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 43 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 149 minutes? =
  4. 4.A clock shows 11:48. What time will it show 50 minutes later? (a) 12:48 (b) 12:28 (c) 1:38 (d) 12:38
  5. 5.How many degrees does the minute hand of a clock turn in 46 minutes? =
  6. 6.A clock shows 6:09. What time will it show 144 minutes later? (a) 9:33 (b) 8:33 (c) 8:43 (d) 8:23
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  8. 8.A clock shows 4:21. What time will it show 146 minutes later? (a) 6:47 (b) 7:47 (c) 6:37 (d) 6:57
  9. 9.A clock shows 11:39. What time will it show 38 minutes later? (a) 12:17 (b) 1:17 (c) 12:07 (d) 12:27
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  11. 11.A clock shows 2:11. What time will it show 97 minutes later? (a) 3:38 (b) 3:58 (c) 3:48 (d) 4:48
  12. 12.How many degrees does the minute hand of a clock turn in 15 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  15. 15.A clock shows 12:02. What time will it show 32 minutes later? (a) 1:34 (b) 12:24 (c) 12:34 (d) 12:44
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  19. 19.A clock shows 7:06. What time will it show 120 minutes later? (a) 9:06 (b) 9:16 (c) 8:56 (d) 10:06
  20. 20.How many degrees does the minute hand of a clock turn in 37 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 23 minutes? =
  22. 22.A clock shows 8:19. What time will it show 54 minutes later? (a) 9:23 (b) 10:13 (c) 9:13 (d) 9:03
  23. 23.A clock shows 2:41. What time will it show 96 minutes later? (a) 4:17 (b) 4:07 (c) 4:27 (d) 5:17
  24. 24.A clock shows 3:38. What time will it show 68 minutes later? (a) 4:36 (b) 4:56 (c) 5:46 (d) 4:46
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  26. 26.A clock shows 11:47. What time will it show 102 minutes later? (a) 1:39 (b) 1:19 (c) 1:29 (d) 2:29
  27. 27.How many degrees does the minute hand of a clock turn in 32 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 80 minutes? =
  30. 30.A clock shows 2:04. What time will it show 18 minutes later? (a) 2:12 (b) 2:32 (c) 3:22 (d) 2:22
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 14 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 93 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  36. 36.A clock shows 10:57. What time will it show 36 minutes later? (a) 11:43 (b) 11:33 (c) 11:23 (d) 12:33
  37. 37.A clock shows 6:11. What time will it show 111 minutes later? (a) 7:52 (b) 8:02 (c) 8:12 (d) 9:02
  38. 38.A clock shows 2:50. What time will it show 16 minutes later? (a) 3:06 (b) 2:56 (c) 3:16 (d) 4:06
  39. 39.A clock shows 9:32. What time will it show 36 minutes later? (a) 10:18 (b) 9:58 (c) 11:08 (d) 10:08
  40. 40.A clock shows 1:41. What time will it show 112 minutes later? (a) 3:33 (b) 3:43 (c) 3:23 (d) 4:33

Answer key

  1. 258
  2. 11
  3. 74.5
  4. 12:38
  5. 276
  6. 8:33
  7. 145
  8. 6:47
  9. 12:17
  10. 170
  11. 3:48
  12. 90
  13. 177.5
  14. 124.5
  15. 12:34
  16. 166
  17. 77
  18. 173.5
  19. 9:06
  20. 222
  21. 138
  22. 9:13
  23. 4:17
  24. 4:46
  25. 99.5
  26. 1:29
  27. 192
  28. 73.5
  29. 40
  30. 2:22
  31. 87
  32. 147.5
  33. 84
  34. 46.5
  35. 109
  36. 11:33
  37. 8:02
  38. 3:06
  39. 10:08
  40. 3:33

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