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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 162 · 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 2:09. What time will it show 118 minutes later? (a) 4:07 (b) 4:17 (c) 5:07 (d) 3:57
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 34 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 59 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 16 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 43 minutes? =
  9. 9.A clock shows 10:02. What time will it show 16 minutes later? (a) 10:28 (b) 10:18 (c) 10:08 (d) 11:18
  10. 10.How many degrees does the minute hand of a clock turn in 19 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 108 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 38 minutes? =
  13. 13.A clock shows 11:17. What time will it show 162 minutes later? (a) 1:49 (b) 2:59 (c) 2:09 (d) 1:59
  14. 14.How many degrees does the minute hand of a clock turn in 21 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  17. 17.A clock shows 4:30. What time will it show 59 minutes later? (a) 5:29 (b) 6:29 (c) 5:39 (d) 5:19
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  21. 21.A clock shows 5:11. What time will it show 84 minutes later? (a) 6:25 (b) 6:35 (c) 7:35 (d) 6:45
  22. 22.A clock shows 11:00. What time will it show 148 minutes later? (a) 2:28 (b) 1:38 (c) 1:18 (d) 1:28
  23. 23.A clock shows 5:10. What time will it show 34 minutes later? (a) 5:54 (b) 6:44 (c) 5:44 (d) 5:34
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 140 minutes? =
  26. 26.A clock shows 6:14. What time will it show 37 minutes later? (a) 7:51 (b) 6:51 (c) 7:01 (d) 6:41
  27. 27.A clock shows 1:12. What time will it show 107 minutes later? (a) 2:49 (b) 3:09 (c) 3:59 (d) 2:59
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  29. 29.A clock shows 5:30. What time will it show 52 minutes later? (a) 7:22 (b) 6:12 (c) 6:32 (d) 6:22
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  35. 35.A clock shows 2:44. What time will it show 150 minutes later? (a) 5:24 (b) 5:14 (c) 6:14 (d) 5:04
  36. 36.A clock shows 8:14. What time will it show 110 minutes later? (a) 10:14 (b) 11:04 (c) 9:54 (d) 10:04
  37. 37.A clock shows 2:58. What time will it show 134 minutes later? (a) 5:02 (b) 5:22 (c) 5:12 (d) 6:12
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 18 minutes? =
  40. 40.A clock shows 6:58. What time will it show 76 minutes later? (a) 8:04 (b) 8:14 (c) 8:24 (d) 9:14

Answer key

  1. 4:07
  2. 129
  3. 174.5
  4. 204
  5. 354
  6. 96
  7. 80.5
  8. 258
  9. 10:18
  10. 114
  11. 54
  12. 228
  13. 1:59
  14. 126
  15. 179.5
  16. 101
  17. 5:29
  18. 124.5
  19. 159.5
  20. 139
  21. 6:35
  22. 1:28
  23. 5:44
  24. 142.5
  25. 70
  26. 6:51
  27. 2:59
  28. 11
  29. 6:22
  30. 150.5
  31. 81.5
  32. 17.5
  33. 137.5
  34. 110
  35. 5:14
  36. 10:04
  37. 5:12
  38. 14
  39. 108
  40. 8:14

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