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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 559 · 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 3:00? (in degrees) =
  2. 2.A clock shows 10:10. What time will it show 27 minutes later? (a) 10:27 (b) 11:37 (c) 10:47 (d) 10:37
  3. 3.How many degrees does the hour hand of a clock turn in 96 minutes? =
  4. 4.A clock shows 7:10. What time will it show 14 minutes later? (a) 7:14 (b) 7:34 (c) 8:24 (d) 7:24
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 45 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  8. 8.A clock shows 11:22. What time will it show 57 minutes later? (a) 12:29 (b) 12:09 (c) 12:19 (d) 1:19
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 17 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 113 minutes? =
  13. 13.A clock shows 8:03. What time will it show 13 minutes later? (a) 8:06 (b) 8:16 (c) 9:16 (d) 8:26
  14. 14.What is the smaller angle between the hour hand and the minute hand at 12:29? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  17. 17.A clock shows 11:28. What time will it show 48 minutes later? (a) 12:16 (b) 12:26 (c) 12:06 (d) 1:16
  18. 18.A clock shows 11:01. What time will it show 101 minutes later? (a) 12:42 (b) 12:52 (c) 12:32 (d) 1:42
  19. 19.A clock shows 10:28. What time will it show 151 minutes later? (a) 1:59 (b) 1:09 (c) 12:59 (d) 12:49
  20. 20.A clock shows 3:43. What time will it show 103 minutes later? (a) 5:36 (b) 6:26 (c) 5:26 (d) 5:16
  21. 21.How many degrees does the minute hand of a clock turn in 34 minutes? =
  22. 22.A clock shows 2:35. What time will it show 158 minutes later? (a) 5:13 (b) 5:03 (c) 5:23 (d) 6:13
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  24. 24.A clock shows 2:05. What time will it show 80 minutes later? (a) 3:35 (b) 3:25 (c) 3:15 (d) 4:25
  25. 25.How many degrees does the minute hand of a clock turn in 55 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 13 minutes? =
  27. 27.A clock shows 7:48. What time will it show 12 minutes later? (a) 7:50 (b) 8:10 (c) 9:00 (d) 8:00
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 67 minutes? =
  30. 30.A clock shows 2:45. What time will it show 102 minutes later? (a) 5:27 (b) 4:37 (c) 4:17 (d) 4:27
  31. 31.How many degrees does the hour hand of a clock turn in 42 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  33. 33.A clock shows 9:29. What time will it show 46 minutes later? (a) 10:15 (b) 10:25 (c) 11:15 (d) 10:05
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
  35. 35.A clock shows 6:35. What time will it show 120 minutes later? (a) 8:25 (b) 8:35 (c) 8:45 (d) 9:35
  36. 36.How many degrees does the minute hand of a clock turn in 41 minutes? =
  37. 37.A clock shows 8:09. What time will it show 118 minutes later? (a) 10:07 (b) 10:17 (c) 9:57 (d) 11:07
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  39. 39.A clock shows 12:22. What time will it show 128 minutes later? (a) 2:40 (b) 2:30 (c) 3:30 (d) 2:20
  40. 40.A clock shows 1:08. What time will it show 27 minutes later? (a) 1:25 (b) 2:35 (c) 1:45 (d) 1:35

Answer key

  1. 90
  2. 10:37
  3. 48
  4. 7:24
  5. 129.5
  6. 270
  7. 49.5
  8. 12:19
  9. 99.5
  10. 102
  11. 64.5
  12. 56.5
  13. 8:16
  14. 159.5
  15. 41
  16. 91
  17. 12:16
  18. 12:42
  19. 12:59
  20. 5:26
  21. 204
  22. 5:13
  23. 14
  24. 3:25
  25. 330
  26. 78
  27. 8:00
  28. 103
  29. 33.5
  30. 4:27
  31. 21
  32. 109.5
  33. 10:15
  34. 38.5
  35. 8:35
  36. 246
  37. 10:07
  38. 8
  39. 2:30
  40. 1:35

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