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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 822 · 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 9:00? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 57 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  6. 6.A clock shows 6:50. What time will it show 119 minutes later? (a) 8:59 (b) 9:49 (c) 8:49 (d) 8:39
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 118 minutes? =
  9. 9.A clock shows 4:00. What time will it show 73 minutes later? (a) 5:23 (b) 6:13 (c) 5:13 (d) 5:03
  10. 10.How many degrees does the minute hand of a clock turn in 3 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 2 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 96 minutes? =
  14. 14.A clock shows 8:51. What time will it show 19 minutes later? (a) 10:10 (b) 9:00 (c) 9:20 (d) 9:10
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:39? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 88 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 27 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  20. 20.A clock shows 5:39. What time will it show 88 minutes later? (a) 8:07 (b) 7:07 (c) 6:57 (d) 7:17
  21. 21.How many degrees does the minute hand of a clock turn in 31 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 8 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 15 minutes? =
  25. 25.A clock shows 4:14. What time will it show 162 minutes later? (a) 7:06 (b) 6:56 (c) 6:46 (d) 7:56
  26. 26.A clock shows 6:03. What time will it show 45 minutes later? (a) 6:38 (b) 7:48 (c) 6:48 (d) 6:58
  27. 27.A clock shows 3:36. What time will it show 106 minutes later? (a) 6:22 (b) 5:32 (c) 5:22 (d) 5:12
  28. 28.A clock shows 4:59. What time will it show 46 minutes later? (a) 6:45 (b) 5:35 (c) 5:55 (d) 5:45
  29. 29.A clock shows 4:59. What time will it show 35 minutes later? (a) 5:24 (b) 5:34 (c) 6:34 (d) 5:44
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 177 minutes? =
  32. 32.A clock shows 2:57. What time will it show 159 minutes later? (a) 5:46 (b) 6:36 (c) 5:36 (d) 5:26
  33. 33.A clock shows 7:20. What time will it show 32 minutes later? (a) 8:02 (b) 8:52 (c) 7:52 (d) 7:42
  34. 34.How many degrees does the hour hand of a clock turn in 180 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 30 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 33 minutes? =
  39. 39.A clock shows 5:44. What time will it show 134 minutes later? (a) 7:58 (b) 8:58 (c) 7:48 (d) 8:08
  40. 40.A clock shows 10:29. What time will it show 54 minutes later? (a) 11:33 (b) 11:13 (c) 12:23 (d) 11:23

Answer key

  1. 90
  2. 342
  3. 156.5
  4. 143.5
  5. 14
  6. 8:49
  7. 153
  8. 59
  9. 5:13
  10. 18
  11. 55
  12. 12
  13. 48
  14. 9:10
  15. 115.5
  16. 22.5
  17. 44
  18. 162
  19. 41
  20. 7:07
  21. 186
  22. 48
  23. 149
  24. 7.5
  25. 6:56
  26. 6:48
  27. 5:22
  28. 5:45
  29. 5:34
  30. 76.5
  31. 88.5
  32. 5:36
  33. 7:52
  34. 90
  35. 15
  36. 163
  37. 63.5
  38. 198
  39. 7:58
  40. 11:23

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