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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 113 · 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 7:30? (in degrees) =
  2. 2.A clock shows 2:14. What time will it show 131 minutes later? (a) 5:25 (b) 4:15 (c) 4:25 (d) 4:35
  3. 3.A clock shows 12:25. What time will it show 129 minutes later? (a) 2:24 (b) 2:34 (c) 3:34 (d) 2:44
  4. 4.How many degrees does the hour hand of a clock turn in 48 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 50 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 17 minutes? =
  10. 10.A clock shows 4:23. What time will it show 162 minutes later? (a) 6:55 (b) 7:05 (c) 8:05 (d) 7:15
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  12. 12.A clock shows 11:50. What time will it show 37 minutes later? (a) 12:17 (b) 12:37 (c) 1:27 (d) 12:27
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
  14. 14.A clock shows 2:07. What time will it show 24 minutes later? (a) 2:41 (b) 2:31 (c) 2:21 (d) 3:31
  15. 15.A clock shows 6:03. What time will it show 39 minutes later? (a) 6:42 (b) 6:52 (c) 6:32 (d) 7:42
  16. 16.A clock shows 5:21. What time will it show 170 minutes later? (a) 9:11 (b) 8:01 (c) 8:11 (d) 8:21
  17. 17.A clock shows 12:51. What time will it show 66 minutes later? (a) 2:07 (b) 1:57 (c) 2:57 (d) 1:47
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 39 minutes? =
  20. 20.A clock shows 6:50. What time will it show 10 minutes later? (a) 7:00 (b) 6:50 (c) 7:10 (d) 8:00
  21. 21.A clock shows 3:05. What time will it show 120 minutes later? (a) 5:15 (b) 4:55 (c) 5:05 (d) 6:05
  22. 22.How many degrees does the minute hand of a clock turn in 42 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  26. 26.A clock shows 8:38. What time will it show 155 minutes later? (a) 11:23 (b) 12:13 (c) 11:13 (d) 11:03
  27. 27.How many degrees does the minute hand of a clock turn in 33 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  29. 29.A clock shows 4:27. What time will it show 156 minutes later? (a) 6:53 (b) 7:13 (c) 7:03 (d) 8:03
  30. 30.How many degrees does the hour hand of a clock turn in 27 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 27 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  33. 33.A clock shows 7:52. What time will it show 140 minutes later? (a) 10:22 (b) 10:02 (c) 11:12 (d) 10:12
  34. 34.A clock shows 2:42. What time will it show 48 minutes later? (a) 3:20 (b) 3:40 (c) 3:30 (d) 4:30
  35. 35.How many degrees does the hour hand of a clock turn in 63 minutes? =
  36. 36.A clock shows 1:01. What time will it show 78 minutes later? (a) 2:19 (b) 3:19 (c) 2:29 (d) 2:09
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  38. 38.A clock shows 3:14. What time will it show 165 minutes later? (a) 5:59 (b) 5:49 (c) 6:09 (d) 6:59
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
  40. 40.A clock shows 5:51. What time will it show 72 minutes later? (a) 6:53 (b) 7:13 (c) 8:03 (d) 7:03

Answer key

  1. 45
  2. 4:25
  3. 2:34
  4. 24
  5. 130.5
  6. 168
  7. 300
  8. 8.5
  9. 102
  10. 7:05
  11. 46
  12. 12:27
  13. 80.5
  14. 2:31
  15. 6:42
  16. 8:11
  17. 1:57
  18. 79.5
  19. 234
  20. 7:00
  21. 5:05
  22. 252
  23. 9
  24. 158.5
  25. 28
  26. 11:13
  27. 198
  28. 19
  29. 7:03
  30. 13.5
  31. 162
  32. 150.5
  33. 10:12
  34. 3:30
  35. 31.5
  36. 2:19
  37. 89
  38. 5:59
  39. 122
  40. 7:03

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