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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 65 · 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 4:59? (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 4:24? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  5. 5.A clock shows 11:33. What time will it show 67 minutes later? (a) 12:40 (b) 12:30 (c) 1:40 (d) 12:50
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  7. 7.A clock shows 9:11. What time will it show 77 minutes later? (a) 10:38 (b) 10:18 (c) 10:28 (d) 11:28
  8. 8.A clock shows 4:36. What time will it show 126 minutes later? (a) 7:42 (b) 6:32 (c) 6:42 (d) 6:52
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 10 minutes? =
  11. 11.A clock shows 5:40. What time will it show 169 minutes later? (a) 8:39 (b) 8:19 (c) 8:29 (d) 9:29
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  13. 13.A clock shows 8:01. What time will it show 114 minutes later? (a) 10:55 (b) 9:45 (c) 9:55 (d) 10:05
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 44 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:25? (in degrees) =
  17. 17.A clock shows 11:46. What time will it show 103 minutes later? (a) 1:39 (b) 2:29 (c) 1:19 (d) 1:29
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  19. 19.A clock shows 3:27. What time will it show 105 minutes later? (a) 6:12 (b) 5:22 (c) 5:12 (d) 5:02
  20. 20.How many degrees does the hour hand of a clock turn in 94 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  22. 22.A clock shows 8:04. What time will it show 23 minutes later? (a) 9:27 (b) 8:37 (c) 8:17 (d) 8:27
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  24. 24.A clock shows 11:24. What time will it show 75 minutes later? (a) 12:29 (b) 12:39 (c) 12:49 (d) 1:39
  25. 25.How many degrees does the minute hand of a clock turn in 35 minutes? =
  26. 26.A clock shows 12:12. What time will it show 118 minutes later? (a) 2:00 (b) 3:10 (c) 2:20 (d) 2:10
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 6 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 26 minutes? =
  30. 30.A clock shows 7:22. What time will it show 15 minutes later? (a) 7:47 (b) 7:37 (c) 7:27 (d) 8:37
  31. 31.A clock shows 12:10. What time will it show 152 minutes later? (a) 2:52 (b) 2:42 (c) 2:32 (d) 3:42
  32. 32.How many degrees does the minute hand of a clock turn in 48 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  34. 34.A clock shows 1:01. What time will it show 91 minutes later? (a) 2:22 (b) 3:32 (c) 2:32 (d) 2:42
  35. 35.A clock shows 6:28. What time will it show 49 minutes later? (a) 7:27 (b) 7:07 (c) 7:17 (d) 8:17
  36. 36.How many degrees does the minute hand of a clock turn in 17 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  38. 38.A clock shows 12:48. What time will it show 75 minutes later? (a) 2:13 (b) 1:53 (c) 3:03 (d) 2:03
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:34? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 167 minutes? =

Answer key

  1. 155.5
  2. 312
  3. 12
  4. 38.5
  5. 12:40
  6. 16
  7. 10:28
  8. 6:42
  9. 84.5
  10. 60
  11. 8:29
  12. 135.5
  13. 9:55
  14. 17
  15. 264
  16. 102.5
  17. 1:29
  18. 136.5
  19. 5:12
  20. 47
  21. 170
  22. 8:27
  23. 93
  24. 12:39
  25. 210
  26. 2:10
  27. 4
  28. 36
  29. 156
  30. 7:37
  31. 2:42
  32. 288
  33. 7.5
  34. 2:32
  35. 7:17
  36. 102
  37. 40
  38. 2:03
  39. 97
  40. 83.5

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