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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 655 · 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 1:41. What time will it show 120 minutes later? (a) 4:41 (b) 3:41 (c) 3:31 (d) 3:51
  2. 2.A clock shows 7:08. What time will it show 42 minutes later? (a) 7:50 (b) 7:40 (c) 8:00 (d) 8:50
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  4. 4.A clock shows 12:18. What time will it show 162 minutes later? (a) 3:10 (b) 2:50 (c) 3:00 (d) 4:00
  5. 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 31 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 33 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 32 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  10. 10.A clock shows 2:56. What time will it show 167 minutes later? (a) 6:43 (b) 5:53 (c) 5:33 (d) 5:43
  11. 11.How many degrees does the minute hand of a clock turn in 41 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
  13. 13.A clock shows 9:14. What time will it show 92 minutes later? (a) 10:36 (b) 10:56 (c) 10:46 (d) 11:46
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 40 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 112 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 15 minutes? =
  20. 20.A clock shows 8:14. What time will it show 55 minutes later? (a) 8:59 (b) 9:19 (c) 9:09 (d) 10:09
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  22. 22.A clock shows 5:43. What time will it show 125 minutes later? (a) 7:58 (b) 7:48 (c) 8:48 (d) 7:38
  23. 23.A clock shows 1:53. What time will it show 106 minutes later? (a) 3:39 (b) 4:39 (c) 3:29 (d) 3:49
  24. 24.How many degrees does the minute hand of a clock turn in 44 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 52 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 165 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  28. 28.A clock shows 4:00. What time will it show 130 minutes later? (a) 6:10 (b) 6:20 (c) 6:00 (d) 7:10
  29. 29.How many degrees does the minute hand of a clock turn in 16 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 111 minutes? =
  31. 31.A clock shows 1:11. What time will it show 66 minutes later? (a) 3:17 (b) 2:07 (c) 2:27 (d) 2:17
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  33. 33.A clock shows 1:03. What time will it show 133 minutes later? (a) 4:16 (b) 3:26 (c) 3:06 (d) 3:16
  34. 34.How many degrees does the minute hand of a clock turn in 26 minutes? =
  35. 35.A clock shows 8:22. What time will it show 79 minutes later? (a) 9:41 (b) 9:31 (c) 10:41 (d) 9:51
  36. 36.A clock shows 9:09. What time will it show 54 minutes later? (a) 10:13 (b) 11:03 (c) 9:53 (d) 10:03
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 17 minutes? =
  39. 39.A clock shows 8:49. What time will it show 118 minutes later? (a) 10:47 (b) 11:47 (c) 10:37 (d) 10:57
  40. 40.A clock shows 9:03. What time will it show 100 minutes later? (a) 11:43 (b) 10:53 (c) 10:33 (d) 10:43

Answer key

  1. 3:41
  2. 7:50
  3. 174.5
  4. 3:00
  5. 30
  6. 186
  7. 198
  8. 192
  9. 170
  10. 5:43
  11. 246
  12. 113.5
  13. 10:46
  14. 147.5
  15. 240
  16. 56
  17. 108
  18. 107.5
  19. 90
  20. 9:09
  21. 54.5
  22. 7:48
  23. 3:39
  24. 264
  25. 312
  26. 82.5
  27. 72.5
  28. 6:10
  29. 96
  30. 55.5
  31. 2:17
  32. 84
  33. 3:16
  34. 156
  35. 9:41
  36. 10:03
  37. 112.5
  38. 102
  39. 10:47
  40. 10:43

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