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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 848 · 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 hour hand of a clock turn in 141 minutes? =
  2. 2.A clock shows 2:40. What time will it show 161 minutes later? (a) 6:21 (b) 5:11 (c) 5:21 (d) 5:31
  3. 3.How many degrees does the hour hand of a clock turn in 126 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 32 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 106 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 23 minutes? =
  10. 10.A clock shows 7:10. What time will it show 61 minutes later? (a) 8:21 (b) 8:11 (c) 9:11 (d) 8:01
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 142 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 3 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 34 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 40 minutes? =
  18. 18.A clock shows 1:33. What time will it show 35 minutes later? (a) 2:08 (b) 2:18 (c) 3:08 (d) 1:58
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  20. 20.A clock shows 7:47. What time will it show 125 minutes later? (a) 10:52 (b) 10:02 (c) 9:52 (d) 9:42
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  24. 24.A clock shows 4:35. What time will it show 141 minutes later? (a) 6:56 (b) 7:06 (c) 6:46 (d) 7:56
  25. 25.How many degrees does the hour hand of a clock turn in 89 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  27. 27.A clock shows 2:38. What time will it show 128 minutes later? (a) 5:46 (b) 4:36 (c) 4:46 (d) 4:56
  28. 28.A clock shows 6:03. What time will it show 90 minutes later? (a) 8:33 (b) 7:23 (c) 7:43 (d) 7:33
  29. 29.A clock shows 3:41. What time will it show 25 minutes later? (a) 4:16 (b) 4:06 (c) 3:56 (d) 5:06
  30. 30.A clock shows 7:06. What time will it show 86 minutes later? (a) 8:42 (b) 9:32 (c) 8:22 (d) 8:32
  31. 31.How many degrees does the hour hand of a clock turn in 95 minutes? =
  32. 32.A clock shows 12:45. What time will it show 88 minutes later? (a) 2:13 (b) 3:13 (c) 2:23 (d) 2:03
  33. 33.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 36 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 173 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 27 minutes? =
  37. 37.A clock shows 12:40. What time will it show 41 minutes later? (a) 1:31 (b) 1:21 (c) 1:11 (d) 2:21
  38. 38.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  40. 40.A clock shows 4:46. What time will it show 52 minutes later? (a) 5:48 (b) 5:38 (c) 5:28 (d) 6:38

Answer key

  1. 70.5
  2. 5:21
  3. 63
  4. 124.5
  5. 63.5
  6. 7.5
  7. 192
  8. 53
  9. 138
  10. 8:11
  11. 106.5
  12. 154
  13. 71
  14. 18
  15. 204
  16. 82.5
  17. 20
  18. 2:08
  19. 122
  20. 9:52
  21. 179.5
  22. 110
  23. 168.5
  24. 6:56
  25. 44.5
  26. 42
  27. 4:46
  28. 7:33
  29. 4:06
  30. 8:32
  31. 47.5
  32. 2:13
  33. 7
  34. 216
  35. 86.5
  36. 162
  37. 1:21
  38. 79.5
  39. 2
  40. 5:38

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