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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 606 · 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.A clock shows 2:15. What time will it show 126 minutes later? (a) 4:21 (b) 4:11 (c) 5:21 (d) 4:31
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 20 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 40 minutes? =
  6. 6.A clock shows 11:10. What time will it show 53 minutes later? (a) 1:03 (b) 12:03 (c) 11:53 (d) 12:13
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  8. 8.A clock shows 7:20. What time will it show 42 minutes later? (a) 8:12 (b) 7:52 (c) 9:02 (d) 8:02
  9. 9.A clock shows 2:12. What time will it show 32 minutes later? (a) 2:44 (b) 2:34 (c) 3:44 (d) 2:54
  10. 10.A clock shows 12:54. What time will it show 48 minutes later? (a) 1:32 (b) 1:52 (c) 1:42 (d) 2:42
  11. 11.A clock shows 5:13. What time will it show 79 minutes later? (a) 6:22 (b) 6:32 (c) 7:32 (d) 6:42
  12. 12.A clock shows 3:00. What time will it show 125 minutes later? (a) 6:05 (b) 5:05 (c) 5:15 (d) 4:55
  13. 13.How many degrees does the hour hand of a clock turn in 169 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  15. 15.A clock shows 6:38. What time will it show 145 minutes later? (a) 10:03 (b) 8:53 (c) 9:03 (d) 9:13
  16. 16.How many degrees does the minute hand of a clock turn in 17 minutes? =
  17. 17.A clock shows 12:45. What time will it show 129 minutes later? (a) 2:44 (b) 3:54 (c) 2:54 (d) 3:04
  18. 18.A clock shows 6:03. What time will it show 11 minutes later? (a) 6:14 (b) 6:24 (c) 7:14 (d) 6:04
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 11 minutes? =
  22. 22.A clock shows 4:33. What time will it show 64 minutes later? (a) 6:37 (b) 5:27 (c) 5:47 (d) 5:37
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 15 minutes? =
  25. 25.A clock shows 11:10. What time will it show 84 minutes later? (a) 12:24 (b) 1:34 (c) 12:44 (d) 12:34
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  27. 27.A clock shows 11:01. What time will it show 27 minutes later? (a) 12:28 (b) 11:18 (c) 11:28 (d) 11:38
  28. 28.A clock shows 5:18. What time will it show 86 minutes later? (a) 6:54 (b) 6:44 (c) 7:44 (d) 6:34
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  30. 30.A clock shows 9:38. What time will it show 128 minutes later? (a) 11:46 (b) 12:46 (c) 11:56 (d) 11:36
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 6 minutes? =
  35. 35.A clock shows 3:06. What time will it show 84 minutes later? (a) 5:30 (b) 4:30 (c) 4:40 (d) 4:20
  36. 36.How many degrees does the hour hand of a clock turn in 112 minutes? =
  37. 37.A clock shows 5:51. What time will it show 77 minutes later? (a) 6:58 (b) 7:08 (c) 7:18 (d) 8:08
  38. 38.How many degrees does the minute hand of a clock turn in 50 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  40. 40.A clock shows 1:43. What time will it show 53 minutes later? (a) 2:36 (b) 3:36 (c) 2:26 (d) 2:46

Answer key

  1. 4:21
  2. 39.5
  3. 175
  4. 120
  5. 240
  6. 12:03
  7. 57
  8. 8:02
  9. 2:44
  10. 1:42
  11. 6:32
  12. 5:05
  13. 84.5
  14. 68.5
  15. 9:03
  16. 102
  17. 2:54
  18. 6:14
  19. 99.5
  20. 20
  21. 66
  22. 5:37
  23. 8.5
  24. 90
  25. 12:34
  26. 69.5
  27. 11:28
  28. 6:44
  29. 172.5
  30. 11:46
  31. 169.5
  32. 5
  33. 135
  34. 36
  35. 4:30
  36. 56
  37. 7:08
  38. 300
  39. 92
  40. 2:36

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