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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 922 · 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 9:24. What time will it show 158 minutes later? (a) 12:02 (b) 12:12 (c) 11:52 (d) 1:02
  2. 2.How many degrees does the minute hand of a clock turn in 15 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 29 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 135 minutes? =
  5. 5.A clock shows 8:32. What time will it show 54 minutes later? (a) 9:16 (b) 9:36 (c) 9:26 (d) 10:26
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  7. 7.A clock shows 2:19. What time will it show 65 minutes later? (a) 3:34 (b) 3:24 (c) 3:14 (d) 4:24
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  10. 10.A clock shows 5:00. What time will it show 81 minutes later? (a) 6:21 (b) 7:21 (c) 6:31 (d) 6:11
  11. 11.A clock shows 3:19. What time will it show 131 minutes later? (a) 5:20 (b) 5:40 (c) 6:30 (d) 5:30
  12. 12.How many degrees does the hour hand of a clock turn in 162 minutes? =
  13. 13.A clock shows 8:06. What time will it show 22 minutes later? (a) 9:28 (b) 8:18 (c) 8:38 (d) 8:28
  14. 14.How many degrees does the hour hand of a clock turn in 148 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  17. 17.A clock shows 9:04. What time will it show 94 minutes later? (a) 10:28 (b) 10:48 (c) 10:38 (d) 11:38
  18. 18.A clock shows 6:17. What time will it show 37 minutes later? (a) 6:44 (b) 7:04 (c) 7:54 (d) 6:54
  19. 19.A clock shows 2:04. What time will it show 61 minutes later? (a) 3:05 (b) 3:15 (c) 4:05 (d) 2:55
  20. 20.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  22. 22.A clock shows 4:53. What time will it show 138 minutes later? (a) 7:21 (b) 8:11 (c) 7:01 (d) 7:11
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 137 minutes? =
  25. 25.A clock shows 10:44. What time will it show 124 minutes later? (a) 1:48 (b) 12:48 (c) 12:38 (d) 12:58
  26. 26.A clock shows 2:36. What time will it show 61 minutes later? (a) 3:47 (b) 3:27 (c) 4:37 (d) 3:37
  27. 27.How many degrees does the hour hand of a clock turn in 47 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 10 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 179 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 17 minutes? =
  32. 32.A clock shows 4:11. What time will it show 54 minutes later? (a) 5:15 (b) 4:55 (c) 6:05 (d) 5:05
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  34. 34.A clock shows 5:19. What time will it show 154 minutes later? (a) 8:03 (b) 7:53 (c) 8:53 (d) 7:43
  35. 35.A clock shows 4:20. What time will it show 117 minutes later? (a) 6:07 (b) 6:17 (c) 7:17 (d) 6:27
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 116 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 70 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 46 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =

Answer key

  1. 12:02
  2. 90
  3. 174
  4. 67.5
  5. 9:26
  6. 72
  7. 3:24
  8. 24
  9. 104
  10. 6:21
  11. 5:30
  12. 81
  13. 8:28
  14. 74
  15. 176
  16. 91.5
  17. 10:38
  18. 6:54
  19. 3:05
  20. 64.5
  21. 132
  22. 7:11
  23. 142
  24. 68.5
  25. 12:48
  26. 3:37
  27. 23.5
  28. 60
  29. 89.5
  30. 46.5
  31. 102
  32. 5:05
  33. 55
  34. 7:53
  35. 6:17
  36. 70
  37. 58
  38. 35
  39. 23
  40. 157.5

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