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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 483 · 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 10:27? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 17 minutes? =
  5. 5.A clock shows 4:25. What time will it show 21 minutes later? (a) 4:36 (b) 5:46 (c) 4:56 (d) 4:46
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 58 minutes? =
  8. 8.A clock shows 1:52. What time will it show 87 minutes later? (a) 3:19 (b) 3:09 (c) 4:19 (d) 3:29
  9. 9.How many degrees does the hour hand of a clock turn in 137 minutes? =
  10. 10.A clock shows 12:03. What time will it show 92 minutes later? (a) 1:25 (b) 1:45 (c) 1:35 (d) 2:35
  11. 11.A clock shows 2:40. What time will it show 135 minutes later? (a) 4:45 (b) 5:55 (c) 5:05 (d) 4:55
  12. 12.A clock shows 10:15. What time will it show 125 minutes later? (a) 12:30 (b) 12:20 (c) 1:20 (d) 12:10
  13. 13.How many degrees does the hour hand of a clock turn in 48 minutes? =
  14. 14.A clock shows 8:57. What time will it show 24 minutes later? (a) 10:21 (b) 9:11 (c) 9:21 (d) 9:31
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 40 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 132 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 36 minutes? =
  20. 20.A clock shows 5:27. What time will it show 47 minutes later? (a) 6:14 (b) 6:24 (c) 7:14 (d) 6:04
  21. 21.A clock shows 3:20. What time will it show 78 minutes later? (a) 4:28 (b) 4:48 (c) 4:38 (d) 5:38
  22. 22.A clock shows 5:09. What time will it show 44 minutes later? (a) 6:53 (b) 5:43 (c) 5:53 (d) 6:03
  23. 23.A clock shows 7:17. What time will it show 49 minutes later? (a) 8:16 (b) 7:56 (c) 8:06 (d) 9:06
  24. 24.A clock shows 1:02. What time will it show 31 minutes later? (a) 1:33 (b) 1:43 (c) 2:33 (d) 1:23
  25. 25.A clock shows 7:32. What time will it show 36 minutes later? (a) 8:18 (b) 9:08 (c) 8:08 (d) 7:58
  26. 26.A clock shows 6:30. What time will it show 14 minutes later? (a) 6:44 (b) 6:34 (c) 7:44 (d) 6:54
  27. 27.A clock shows 3:25. What time will it show 20 minutes later? (a) 3:55 (b) 3:35 (c) 3:45 (d) 4:45
  28. 28.A clock shows 9:29. What time will it show 164 minutes later? (a) 12:13 (b) 12:23 (c) 12:03 (d) 1:13
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:48? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 59 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 110 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 56 minutes? =
  35. 35.A clock shows 10:44. What time will it show 41 minutes later? (a) 11:35 (b) 12:25 (c) 11:15 (d) 11:25
  36. 36.A clock shows 2:43. What time will it show 82 minutes later? (a) 4:15 (b) 5:05 (c) 4:05 (d) 3:55
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  38. 38.A clock shows 6:51. What time will it show 116 minutes later? (a) 8:37 (b) 8:47 (c) 9:47 (d) 8:57
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =

Answer key

  1. 151.5
  2. 312
  3. 115
  4. 102
  5. 4:46
  6. 50.5
  7. 348
  8. 3:19
  9. 68.5
  10. 1:35
  11. 4:55
  12. 12:20
  13. 24
  14. 9:21
  15. 22.5
  16. 240
  17. 66
  18. 83.5
  19. 216
  20. 6:14
  21. 4:38
  22. 5:53
  23. 8:06
  24. 1:33
  25. 8:08
  26. 6:44
  27. 3:45
  28. 12:13
  29. 174
  30. 163
  31. 354
  32. 114
  33. 55
  34. 336
  35. 11:25
  36. 4:05
  37. 38.5
  38. 8:47
  39. 85.5
  40. 8

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