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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 406 · 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 26 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 86 minutes? =
  5. 5.A clock shows 3:25. What time will it show 166 minutes later? (a) 7:11 (b) 6:01 (c) 6:11 (d) 6:21
  6. 6.How many degrees does the hour hand of a clock turn in 153 minutes? =
  7. 7.A clock shows 2:22. What time will it show 125 minutes later? (a) 4:17 (b) 4:37 (c) 5:27 (d) 4:27
  8. 8.How many degrees does the hour hand of a clock turn in 64 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  10. 10.A clock shows 8:37. What time will it show 42 minutes later? (a) 9:29 (b) 10:19 (c) 9:09 (d) 9:19
  11. 11.How many degrees does the minute hand of a clock turn in 15 minutes? =
  12. 12.A clock shows 11:23. What time will it show 140 minutes later? (a) 1:43 (b) 1:53 (c) 2:43 (d) 1:33
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 36 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 48 minutes? =
  17. 17.A clock shows 7:01. What time will it show 107 minutes later? (a) 8:38 (b) 9:48 (c) 8:58 (d) 8:48
  18. 18.A clock shows 2:57. What time will it show 10 minutes later? (a) 3:17 (b) 3:07 (c) 4:07 (d) 2:57
  19. 19.How many degrees does the hour hand of a clock turn in 63 minutes? =
  20. 20.A clock shows 7:03. What time will it show 114 minutes later? (a) 9:07 (b) 9:57 (c) 8:57 (d) 8:47
  21. 21.How many degrees does the minute hand of a clock turn in 11 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 12 minutes? =
  24. 24.A clock shows 1:18. What time will it show 120 minutes later? (a) 3:08 (b) 3:18 (c) 4:18 (d) 3:28
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  26. 26.A clock shows 3:58. What time will it show 162 minutes later? (a) 6:40 (b) 7:40 (c) 6:50 (d) 6:30
  27. 27.How many degrees does the minute hand of a clock turn in 38 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  29. 29.A clock shows 8:06. What time will it show 63 minutes later? (a) 8:59 (b) 10:09 (c) 9:09 (d) 9:19
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 50 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  39. 39.A clock shows 8:48. What time will it show 42 minutes later? (a) 9:20 (b) 9:30 (c) 10:30 (d) 9:40
  40. 40.A clock shows 8:47. What time will it show 66 minutes later? (a) 10:03 (b) 9:43 (c) 10:53 (d) 9:53

Answer key

  1. 156
  2. 133.5
  3. 21
  4. 43
  5. 6:11
  6. 76.5
  7. 4:27
  8. 32
  9. 162
  10. 9:19
  11. 90
  12. 1:43
  13. 68.5
  14. 153.5
  15. 216
  16. 24
  17. 8:48
  18. 3:07
  19. 31.5
  20. 8:57
  21. 66
  22. 95
  23. 72
  24. 3:18
  25. 118
  26. 6:40
  27. 228
  28. 46
  29. 9:09
  30. 72.5
  31. 133.5
  32. 300
  33. 127
  34. 127.5
  35. 81.5
  36. 102.5
  37. 154.5
  38. 144.5
  39. 9:30
  40. 9:53

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