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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 668 · 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 1:12. What time will it show 135 minutes later? (a) 3:37 (b) 3:17 (c) 4:27 (d) 3:27
  2. 2.A clock shows 1:21. What time will it show 81 minutes later? (a) 2:32 (b) 3:42 (c) 2:42 (d) 2:52
  3. 3.A clock shows 5:16. What time will it show 146 minutes later? (a) 7:42 (b) 7:32 (c) 7:52 (d) 8:42
  4. 4.How many degrees does the hour hand of a clock turn in 176 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  7. 7.A clock shows 11:02. What time will it show 30 minutes later? (a) 11:32 (b) 11:22 (c) 11:42 (d) 12:32
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 41 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
  12. 12.A clock shows 6:58. What time will it show 161 minutes later? (a) 9:49 (b) 10:39 (c) 9:39 (d) 9:29
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 57 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 51 minutes? =
  18. 18.A clock shows 8:23. What time will it show 51 minutes later? (a) 9:14 (b) 10:14 (c) 9:04 (d) 9:24
  19. 19.A clock shows 7:12. What time will it show 61 minutes later? (a) 9:13 (b) 8:13 (c) 8:23 (d) 8:03
  20. 20.A clock shows 3:56. What time will it show 147 minutes later? (a) 6:23 (b) 6:13 (c) 6:33 (d) 7:23
  21. 21.A clock shows 11:40. What time will it show 33 minutes later? (a) 1:13 (b) 12:13 (c) 12:03 (d) 12:23
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 38 minutes? =
  27. 27.A clock shows 5:23. What time will it show 149 minutes later? (a) 7:52 (b) 7:42 (c) 8:02 (d) 8:52
  28. 28.A clock shows 2:45. What time will it show 78 minutes later? (a) 4:03 (b) 3:53 (c) 4:13 (d) 5:03
  29. 29.How many degrees does the minute hand of a clock turn in 12 minutes? =
  30. 30.A clock shows 5:27. What time will it show 114 minutes later? (a) 7:31 (b) 8:21 (c) 7:21 (d) 7:11
  31. 31.A clock shows 3:10. What time will it show 118 minutes later? (a) 5:18 (b) 6:08 (c) 5:08 (d) 4:58
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  33. 33.A clock shows 1:15. What time will it show 60 minutes later? (a) 2:25 (b) 2:05 (c) 3:15 (d) 2:15
  34. 34.How many degrees does the minute hand of a clock turn in 53 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 147 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  38. 38.A clock shows 8:50. What time will it show 77 minutes later? (a) 9:57 (b) 11:07 (c) 10:07 (d) 10:17
  39. 39.A clock shows 7:30. What time will it show 161 minutes later? (a) 10:01 (b) 11:11 (c) 10:21 (d) 10:11
  40. 40.A clock shows 8:22. What time will it show 52 minutes later? (a) 10:14 (b) 9:04 (c) 9:14 (d) 9:24

Answer key

  1. 3:27
  2. 2:42
  3. 7:42
  4. 88
  5. 92.5
  6. 30
  7. 11:32
  8. 63.5
  9. 246
  10. 87
  11. 144
  12. 9:39
  13. 168
  14. 342
  15. 179.5
  16. 83
  17. 306
  18. 9:14
  19. 8:13
  20. 6:23
  21. 12:13
  22. 83.5
  23. 81
  24. 0.5
  25. 92
  26. 19
  27. 7:52
  28. 4:03
  29. 72
  30. 7:21
  31. 5:08
  32. 47
  33. 2:15
  34. 318
  35. 73.5
  36. 129
  37. 152.5
  38. 10:07
  39. 10:11
  40. 9:14

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